From d17d168d9ff80dea3bea22c3aff8616178ebbbe6 Mon Sep 17 00:00:00 2001
From: ferrari212 <felipe.ferrari.212@gmail.com>
Date: Sun, 14 Jun 2026 08:50:39 +0200
Subject: [PATCH 1/9] introducting regression tests

---
 .../HeatConduction1DWall/REGRESSION.md        | 61 +++++++++++++++
 .../HeatConduction1DWall/regression.test.js   | 61 +++++++++++++++
 .../HeatConduction2DFin/REGRESSION.md         | 67 ++++++++++++++++
 .../HeatConduction2DFin/regression.test.js    | 77 +++++++++++++++++++
 tests/run-all-tests.js                        | 53 +++++++++++++
 tests/unit/README.md                          |  9 +++
 6 files changed, 328 insertions(+)
 create mode 100644 tests/regression/HeatConduction1DWall/REGRESSION.md
 create mode 100644 tests/regression/HeatConduction1DWall/regression.test.js
 create mode 100644 tests/regression/HeatConduction2DFin/REGRESSION.md
 create mode 100644 tests/regression/HeatConduction2DFin/regression.test.js
 create mode 100644 tests/run-all-tests.js
 create mode 100644 tests/unit/README.md

diff --git a/tests/regression/HeatConduction1DWall/REGRESSION.md b/tests/regression/HeatConduction1DWall/REGRESSION.md
new file mode 100644
index 0000000..579ffac
--- /dev/null
+++ b/tests/regression/HeatConduction1DWall/REGRESSION.md
@@ -0,0 +1,61 @@
+# Regression Test — HeatConduction1DWall
+
+## Purpose
+
+This test guards the numerical output of the 1D heat-conduction-through-a-wall example
+against unintended changes to the solver, assembler, or mesh-generation logic.
+
+It replicates exactly the problem set up in
+[`HeatConduction1DWall.html`](../../../examples/solidHeatTransferScript/HeatConduction1DWall/HeatConduction1DWall.html)
+and asserts a known good value.
+
+## Problem setup
+
+| Parameter | Value |
+|-----------|-------|
+| Domain | 1D, 0 – 0.15 m |
+| Mesh | 10 linear elements |
+| Boundary 0 (x = 0) | Convection, h = 1, T∞ = 25 °C |
+| Boundary 1 (x = 0.15) | Constant temperature, T = 5 °C |
+| Solver | LU decomposition (`lusolve`) |
+
+## Expected value
+
+| Quantity | Value |
+|----------|-------|
+| Temperature at node 0 (x = 0) | **10.29412 °C** |
+
+Tolerance used in the assertion: `1e-4`.
+
+## How to run
+
+From the repository root:
+
+```bash
+node tests/regression/HeatConduction1DWall/regression.test.js
+```
+
+A passing run prints:
+
+```
+PASS: T(x=0) = 10.29412 (expected 10.29412)
+```
+
+A failing run prints a `FAIL:` message and exits with code 1.
+
+The `test` script in `package.json` also runs this file, so `npm test` works too.
+
+## After modifying the code
+
+| Situation | Action |
+|-----------|--------|
+| Bug fix that should not change results | Run the test — it must still pass. |
+| Intentional algorithm change (new element type, new integration rule, etc.) | Re-derive the expected value, update `EXPECTED_T0` in `regression.test.js`, and document the reason here. |
+| New boundary condition API | Update both the test and the reference HTML example together. |
+| Adding a new solver method | Add a separate assertion block for the new method; keep the `lusolve` block untouched as the baseline. |
+
+## Change log
+
+| Date | Change | New expected value |
+|------|--------|--------------------|
+| 2026-06-14 | Initial regression baseline | 10.29412 |
diff --git a/tests/regression/HeatConduction1DWall/regression.test.js b/tests/regression/HeatConduction1DWall/regression.test.js
new file mode 100644
index 0000000..fbd5f2b
--- /dev/null
+++ b/tests/regression/HeatConduction1DWall/regression.test.js
@@ -0,0 +1,61 @@
+/**
+ * Regression test for HeatConduction1DWall
+ *
+ * Replicates the exact setup from HeatConduction1DWall.html and asserts
+ * that the temperature at node 0 (convection boundary) remains 10.29412.
+ *
+ * Run: node tests/regression/HeatConduction1DWall/regression.test.js
+ */
+
+import * as mathjs from "mathjs";
+import { FEAScriptModel } from "../../../src/FEAScript.js";
+import { basicLog } from "../../../src/utilities/loggingScript.js";
+
+// FEAScript.js references `math` as a global (loaded via CDN in browser).
+// Set it here before any solve() call.
+globalThis.math = mathjs;
+
+const EXPECTED_T0 = 10.29412;
+const TOLERANCE = 1e-4;
+
+function runSimulation() {
+  const model = new FEAScriptModel();
+
+  basicLog("")
+  basicLog("================================")
+  basicLog("Starting test in solid heat transfer 1D wall...")
+
+  model.setSolverConfig("solidHeatTransferScript");
+  model.setMeshConfig({
+    meshDimension: "1D",
+    elementOrder: "linear",
+    numElementsX: 10,
+    maxX: 0.15,
+  });
+
+  model.addBoundaryCondition("0", ["convection", 1, 25]);
+  model.addBoundaryCondition("1", ["constantTemp", 5]);
+  model.setSolverMethod("lusolve");
+
+  return model.solve();
+}
+
+function assert(condition, message) {
+  if (!condition) {
+    console.error(`FAIL: ${message}`);
+    process.exit(1);
+  }
+}
+
+const { solutionVector } = runSimulation();
+
+// solutionVector from math.lusolve is a nested array: [[T0], [T1], ...]
+const T0 = Array.isArray(solutionVector[0]) ? solutionVector[0][0] : solutionVector[0];
+
+assert(
+  Math.abs(T0 - EXPECTED_T0) < TOLERANCE,
+  `Temperature at node 0: expected ${EXPECTED_T0}, got ${T0} (tolerance ${TOLERANCE})`
+);
+
+console.log(`PASS: T(x=0) = ${T0.toFixed(5)} (expected ${EXPECTED_T0})`);
+basicLog("================================")
diff --git a/tests/regression/HeatConduction2DFin/REGRESSION.md b/tests/regression/HeatConduction2DFin/REGRESSION.md
new file mode 100644
index 0000000..5bea510
--- /dev/null
+++ b/tests/regression/HeatConduction2DFin/REGRESSION.md
@@ -0,0 +1,67 @@
+# Regression Test — HeatConduction2DFin
+
+## Purpose
+
+This test guards the numerical output of the 2D heat-conduction-in-a-fin example
+against unintended changes to the solver, assembler, or mesh-generation logic.
+
+It replicates exactly the problem set up in
+[`HeatConduction2DFin.html`](../../../examples/solidHeatTransferScript/HeatConduction2DFin/HeatConduction2DFin.html)
+and asserts a known good value at a representative interior point.
+
+## Problem setup
+
+| Parameter | Value |
+|-----------|-------|
+| Domain | 2D, x ∈ [0, 4] m, y ∈ [0, 2] m |
+| Mesh | 8 × 4 quadratic elements |
+| Boundary 0 (bottom, y = 0) | Constant temperature, T = 200 °C |
+| Boundary 1 (left, x = 0) | Symmetry (zero flux) |
+| Boundary 2 (top, y = 2) | Convection, h = 1, T∞ = 20 °C |
+| Boundary 3 (right, x = 4) | Constant temperature, T = 200 °C |
+| Solver | LU decomposition (`lusolve`) |
+
+## Expected value
+
+| Quantity | Value |
+|----------|-------|
+| Temperature at node (x = 0, y = 2) | **81.31873 °C** |
+
+This point sits at the top-left corner of the fin — on the symmetry boundary and
+the convection boundary — and is sensitive to both the heat transfer coefficient
+and the thermal gradient across the domain.
+
+Tolerance used in the assertion: `1e-4`.
+
+## How to run
+
+From the repository root:
+
+```bash
+node tests/regression/HeatConduction2DFin/regression.test.js
+```
+
+A passing run prints:
+
+```
+PASS: T(x=0, y=2) = 81.31873 (expected 81.31873)
+```
+
+A failing run prints a `FAIL:` message and exits with code 1.
+
+Running `npm test` executes all regression tests, including this one.
+
+## After modifying the code
+
+| Situation | Action |
+|-----------|--------|
+| Bug fix that should not change results | Run the test — it must still pass. |
+| Intentional algorithm change (new element type, new integration rule, etc.) | Re-derive the expected value, update `EXPECTED_T` in `regression.test.js`, and document the reason here. |
+| New boundary condition API | Update both the test and the reference HTML example together. |
+| Mesh refinement study | Add a separate assertion block for the refined mesh; keep the current block as the coarse-mesh baseline. |
+
+## Change log
+
+| Date | Change | New expected value |
+|------|--------|--------------------|
+| 2026-06-14 | Initial regression baseline | 81.31873 |
diff --git a/tests/regression/HeatConduction2DFin/regression.test.js b/tests/regression/HeatConduction2DFin/regression.test.js
new file mode 100644
index 0000000..b57d48e
--- /dev/null
+++ b/tests/regression/HeatConduction2DFin/regression.test.js
@@ -0,0 +1,77 @@
+/**
+ * Regression test for HeatConduction2DFin
+ *
+ * Replicates the exact setup from HeatConduction2DFin.html and asserts
+ * that the temperature at (x=0, y=2) remains 81.31873.
+ *
+ * Run: node tests/regression/HeatConduction2DFin/regression.test.js
+ */
+
+import * as mathjs from "mathjs";
+import { FEAScriptModel } from "../../../src/FEAScript.js";
+import { basicLog } from "../../../src/utilities/loggingScript.js";
+
+basicLog("")
+basicLog("================================")
+basicLog("Starting test in solid heat transfer 2D fin...")
+
+// FEAScript.js references `math` as a global (loaded via CDN in browser).
+// Set it here before any solve() call.
+globalThis.math = mathjs;
+
+const EXPECTED_X = 0;
+const EXPECTED_Y = 2;
+const EXPECTED_T = 81.31873;
+const TOLERANCE = 1e-4;
+
+function runSimulation() {
+  const model = new FEAScriptModel();
+
+  model.setSolverConfig("solidHeatTransferScript");
+  model.setMeshConfig({
+    meshDimension: "2D",
+    elementOrder: "quadratic",
+    numElementsX: 8,
+    numElementsY: 4,
+    maxX: 4,
+    maxY: 2,
+  });
+
+  model.addBoundaryCondition("0", ["constantTemp", 200]);
+  model.addBoundaryCondition("1", ["symmetry"]);
+  model.addBoundaryCondition("2", ["convection", 1, 20]);
+  model.addBoundaryCondition("3", ["constantTemp", 200]);
+  model.setSolverMethod("lusolve");
+
+  return model.solve();
+}
+
+function assert(condition, message) {
+  if (!condition) {
+    console.error(`FAIL: ${message}`);
+    process.exit(1);
+  }
+}
+
+const { solutionVector, nodesCoordinates } = runSimulation();
+const { nodesXCoordinates, nodesYCoordinates } = nodesCoordinates;
+
+// Locate the node at (x=0, y=2) by searching coordinates.
+// This is robust against changes in mesh ordering conventions.
+const nodeIndex = nodesXCoordinates.findIndex(
+  (x, i) => Math.abs(x - EXPECTED_X) < 1e-10 && Math.abs(nodesYCoordinates[i] - EXPECTED_Y) < 1e-10
+);
+
+assert(nodeIndex !== -1, `No node found at (x=${EXPECTED_X}, y=${EXPECTED_Y})`);
+
+// solutionVector from math.lusolve is a nested array: [[T0], [T1], ...]
+const T = Array.isArray(solutionVector[nodeIndex]) ? solutionVector[nodeIndex][0] : solutionVector[nodeIndex];
+
+assert(
+  Math.abs(T - EXPECTED_T) < TOLERANCE,
+  `Temperature at (x=${EXPECTED_X}, y=${EXPECTED_Y}): expected ${EXPECTED_T}, got ${T} (tolerance ${TOLERANCE})`
+);
+
+console.log(`PASS: T(x=${EXPECTED_X}, y=${EXPECTED_Y}) = ${T.toFixed(5)} (expected ${EXPECTED_T})`);
+
+basicLog("================================")
\ No newline at end of file
diff --git a/tests/run-all-tests.js b/tests/run-all-tests.js
new file mode 100644
index 0000000..8901fcc
--- /dev/null
+++ b/tests/run-all-tests.js
@@ -0,0 +1,53 @@
+/**
+ * Test runner — discovers and executes every *.test.js file under tests/.
+ * Add a new test file anywhere in this tree and it runs automatically.
+ *
+ * Usage: node tests/run-all-tests.js
+ */
+
+import { readdirSync, statSync } from "fs";
+import { join, relative } from "path";
+import { spawnSync } from "child_process";
+import { fileURLToPath } from "url";
+
+const __dirname = fileURLToPath(new URL(".", import.meta.url));
+
+function collectTestFiles(dir) {
+  const entries = readdirSync(dir);
+  const files = [];
+  for (const entry of entries) {
+    const fullPath = join(dir, entry);
+    if (statSync(fullPath).isDirectory()) {
+      files.push(...collectTestFiles(fullPath));
+    } else if (entry.endsWith(".test.js")) {
+      files.push(fullPath);
+    }
+  }
+  return files;
+}
+
+const testFiles = collectTestFiles(__dirname);
+
+if (testFiles.length === 0) {
+  console.log("No test files found.");
+  process.exit(0);
+}
+
+console.log(`Found ${testFiles.length} test file(s).\n`);
+
+let passed = 0;
+let failed = 0;
+
+for (const file of testFiles) {
+  const label = relative(__dirname, file);
+  const result = spawnSync(process.execPath, [file], { stdio: "inherit" });
+  if (result.status === 0) {
+    passed++;
+  } else {
+    console.error(`\nFAILED: ${label}\n`);
+    failed++;
+  }
+}
+
+console.log(`\n${passed} passed, ${failed} failed.`);
+process.exit(failed > 0 ? 1 : 0);
diff --git a/tests/unit/README.md b/tests/unit/README.md
new file mode 100644
index 0000000..dee4e93
--- /dev/null
+++ b/tests/unit/README.md
@@ -0,0 +1,9 @@
+# Unit Tests
+
+This folder will contain unit tests for individual FEAScript modules (solvers, assemblers, utilities, etc.).
+
+Each test file should target a single module and be runnable with:
+
+```bash
+node tests/unit/<test-file>.js
+```

From bbe2fd09f9bb5aed4131f125a381cbb656f89516 Mon Sep 17 00:00:00 2001
From: ferrari212 <felipe.ferrari.212@gmail.com>
Date: Sun, 14 Jun 2026 08:52:47 +0200
Subject: [PATCH 2/9] Adding sanity check on the jacobi method

---
 src/methods/jacobiMethodScript.js | 30 ++++++++++++++++++++++++++++++
 1 file changed, 30 insertions(+)

diff --git a/src/methods/jacobiMethodScript.js b/src/methods/jacobiMethodScript.js
index 1a3e3df..bebe702 100644
--- a/src/methods/jacobiMethodScript.js
+++ b/src/methods/jacobiMethodScript.js
@@ -22,6 +22,36 @@
  */
 export function jacobiMethod(A, b, x0, maxIterations = 100, tolerance = 1e-7) {
   const n = A.length; // Size of the square matrix
+
+  // Sanity checks for input dimensions
+  if (!Array.isArray(A) || n === 0) {
+    throw new Error("Matrix A must be a non-empty array");
+  }
+
+  // Verify A is square
+  for (let i = 0; i < n; i++) {
+    if (!Array.isArray(A[i]) || A[i].length !== n) {
+      throw new Error(`Matrix A must be square. Row ${i} has length ${A[i].length}, expected ${n}`);
+    }
+  }
+
+  // Verify b is a vector of correct length
+  if (!Array.isArray(b) || b.length !== n) {
+    throw new Error(`Vector b must have length ${n}, got ${b.length}`);
+  }
+
+  // Verify x0 is a vector of correct length
+  if (!Array.isArray(x0) || x0.length !== n) {
+    throw new Error(`Initial guess x0 must have length ${n}, got ${x0.length}`);
+  }
+
+  // Verify no zero diagonal elements (required for Jacobi method)
+  for (let i = 0; i < n; i++) {
+    if (A[i][i] === 0) {
+      throw new Error(`Diagonal element A[${i}][${i}] is zero; Jacobi method requires non-zero diagonal elements`);
+    }
+  }
+
   let x = [...x0]; // Current solution (starts with initial guess)
   let xNew = new Array(n); // Next iteration's solution
 

From 774815abd2c74174426e0147f2926b3b7562c537 Mon Sep 17 00:00:00 2001
From: ferrari212 <felipe.ferrari.212@gmail.com>
Date: Wed, 8 Jul 2026 12:39:31 +0200
Subject: [PATCH 3/9] Adding the unit tests

---
 src/methods/jacobiMethodScript.js |  12 +--
 tests/unit/jacobiMethod.test.js   | 147 ++++++++++++++++++++++++++++++
 2 files changed, 153 insertions(+), 6 deletions(-)
 create mode 100644 tests/unit/jacobiMethod.test.js

diff --git a/src/methods/jacobiMethodScript.js b/src/methods/jacobiMethodScript.js
index bebe702..e383087 100644
--- a/src/methods/jacobiMethodScript.js
+++ b/src/methods/jacobiMethodScript.js
@@ -21,13 +21,13 @@
  *  - converged: Boolean indicating whether the method converged
  */
 export function jacobiMethod(A, b, x0, maxIterations = 100, tolerance = 1e-7) {
-  const n = A.length; // Size of the square matrix
-
-  // Sanity checks for input dimensions
-  if (!Array.isArray(A) || n === 0) {
+  // Sanity checks — Array.isArray guard must precede .length access
+  if (!Array.isArray(A) || A.length === 0) {
     throw new Error("Matrix A must be a non-empty array");
   }
 
+  const n = A.length; // Size of the square matrix
+
   // Verify A is square
   for (let i = 0; i < n; i++) {
     if (!Array.isArray(A[i]) || A[i].length !== n) {
@@ -37,12 +37,12 @@ export function jacobiMethod(A, b, x0, maxIterations = 100, tolerance = 1e-7) {
 
   // Verify b is a vector of correct length
   if (!Array.isArray(b) || b.length !== n) {
-    throw new Error(`Vector b must have length ${n}, got ${b.length}`);
+    throw new Error(`Vector b must have length ${n}, got ${Array.isArray(b) ? b.length : "undefined"}`);
   }
 
   // Verify x0 is a vector of correct length
   if (!Array.isArray(x0) || x0.length !== n) {
-    throw new Error(`Initial guess x0 must have length ${n}, got ${x0.length}`);
+    throw new Error(`Initial guess x0 must have length ${n}, got ${Array.isArray(x0) ? x0.length : "undefined"}`);
   }
 
   // Verify no zero diagonal elements (required for Jacobi method)
diff --git a/tests/unit/jacobiMethod.test.js b/tests/unit/jacobiMethod.test.js
new file mode 100644
index 0000000..b8e1799
--- /dev/null
+++ b/tests/unit/jacobiMethod.test.js
@@ -0,0 +1,147 @@
+/**
+ * Unit tests for jacobiMethod
+ *
+ * Covers:
+ *  - No data          : called with no arguments
+ *  - Missing data     : required arguments omitted (b, x0)
+ *  - Invalid data     : wrong types / non-square matrix / empty matrix
+ *  - Out of boundaries: zero diagonal element, mismatched vector lengths
+ *  - Success case     : diagonally dominant 2×2 system with known solution
+ *
+ * Run: node tests/unit/jacobiMethod.test.js
+ */
+
+import { jacobiMethod } from "../../src/methods/jacobiMethodScript.js";
+
+let passed = 0;
+let failed = 0;
+
+function assert(condition, message) {
+  if (!condition) {
+    console.error(`  FAIL: ${message}`);
+    failed++;
+  } else {
+    console.log(`  PASS: ${message}`);
+    passed++;
+  }
+}
+
+function assertThrows(fn, expectedFragment, label) {
+  try {
+    fn();
+    console.error(`  FAIL: ${label} — expected an error but none was thrown`);
+    failed++;
+  } catch (err) {
+    if (err.message.includes(expectedFragment)) {
+      console.log(`  PASS: ${label}`);
+      passed++;
+    } else {
+      console.error(`  FAIL: ${label} — wrong error message.\n    Expected fragment: "${expectedFragment}"\n    Got: "${err.message}"`);
+      failed++;
+    }
+  }
+}
+
+// ---------------------------------------------------------------------------
+// 1. NO DATA — called with no arguments at all
+// ---------------------------------------------------------------------------
+console.log("\n[1] No data");
+
+assertThrows(
+  () => jacobiMethod(),
+  "Matrix A must be a non-empty array",
+  "jacobiMethod() with no arguments throws on missing A"
+);
+
+// ---------------------------------------------------------------------------
+// 2. MISSING DATA — required arguments omitted
+// ---------------------------------------------------------------------------
+console.log("\n[2] Missing data");
+
+assertThrows(
+  () => jacobiMethod([[4, 1], [2, 3]]),
+  "Vector b must have length",
+  "Missing b argument throws dimension error"
+);
+
+assertThrows(
+  () => jacobiMethod([[4, 1], [2, 3]], [9, 8]),
+  "Initial guess x0 must have length",
+  "Missing x0 argument throws dimension error"
+);
+
+// ---------------------------------------------------------------------------
+// 3. INVALID DATA — wrong types or non-square matrix
+// ---------------------------------------------------------------------------
+console.log("\n[3] Invalid data");
+
+assertThrows(
+  () => jacobiMethod("not-an-array", [1, 2], [0, 0]),
+  "Matrix A must be a non-empty array",
+  "String passed as A throws type error"
+);
+
+assertThrows(
+  () => jacobiMethod([], [], []),
+  "Matrix A must be a non-empty array",
+  "Empty matrix A throws non-empty error"
+);
+
+assertThrows(
+  () => jacobiMethod([[1, 2, 3], [4, 5, 6]], [1, 2], [0, 0]),
+  "Matrix A must be square",
+  "Non-square matrix (2x3) throws square error"
+);
+
+// ---------------------------------------------------------------------------
+// 4. DATA OUT OF BOUNDARIES — mathematical constraints violated
+// ---------------------------------------------------------------------------
+console.log("\n[4] Data out of boundaries");
+
+assertThrows(
+  () => jacobiMethod([[0, 1], [1, 3]], [1, 2], [0, 0]),
+  "Diagonal element A[0][0] is zero",
+  "Zero diagonal element throws divide-by-zero guard"
+);
+
+assertThrows(
+  () => jacobiMethod([[4, 1], [2, 3]], [9, 8, 7], [0, 0]),
+  "Vector b must have length 2",
+  "b longer than n throws dimension mismatch"
+);
+
+assertThrows(
+  () => jacobiMethod([[4, 1], [2, 3]], [9, 8], [0, 0, 0]),
+  "Initial guess x0 must have length 2",
+  "x0 longer than n throws dimension mismatch"
+);
+
+// ---------------------------------------------------------------------------
+// 5. SUCCESS CASE — diagonally dominant 2×2 system
+//
+//   10x + 2y = 12      exact solution: x = 1, y = 1
+//    1x + 5y = 6
+//
+//   Diagonal dominance: |10| > |2| and |5| > |1| — guaranteed convergence.
+// ---------------------------------------------------------------------------
+console.log("\n[5] Success case");
+
+const A  = [[10, 2], [1, 5]];
+const b  = [12, 6];
+const x0 = [0, 0];
+
+const result = jacobiMethod(A, b, x0);
+
+assert(result.converged === true, "Method converges");
+assert(result.iterations > 0, "At least one iteration was performed");
+assert(result.iterations <= 100, "Converges within the default 100-iteration limit");
+
+const tolerance = 1e-6;
+assert(Math.abs(result.solution[0] - 1) < tolerance, `x ≈ 1 (got ${result.solution[0]})`);
+assert(Math.abs(result.solution[1] - 1) < tolerance, `y ≈ 1 (got ${result.solution[1]})`);
+
+// ---------------------------------------------------------------------------
+// Summary
+// ---------------------------------------------------------------------------
+console.log(`\n${passed + failed} tests — ${passed} passed, ${failed} failed.\n`);
+if (failed > 0) process.exit(1);

From 6474c3a93f8232530dcd05455f67430efef20da6 Mon Sep 17 00:00:00 2001
From: ferrari212 <felipe.ferrari.212@gmail.com>
Date: Wed, 8 Jul 2026 12:41:40 +0200
Subject: [PATCH 4/9] adding the test and format commands

---
 package.json | 6 ++++--
 1 file changed, 4 insertions(+), 2 deletions(-)

diff --git a/package.json b/package.json
index 94de51e..f1de80c 100644
--- a/package.json
+++ b/package.json
@@ -20,7 +20,8 @@
   "scripts": {
     "build": "rollup -c",
     "prepublishOnly": "npm run build",
-    "test": "echo \"No tests configured\" && exit 0"
+    "test": "node tests/run-all-tests.js",
+    "format": "prettier --write ."
   },
   "repository": {
     "type": "git",
@@ -64,6 +65,7 @@
     "rollup": "^2.79.2",
     "rollup-plugin-terser": "^7.0.2",
     "rollup-plugin-typescript2": "^0.36.0",
-    "typescript": "^5.8.3"
+    "typescript": "^5.8.3",
+    "prettier": "^2.8.8"
   }
 }

From 0692117603ed0643b059c0440364fc668fdb56d3 Mon Sep 17 00:00:00 2001
From: ferrari212 <felipe.ferrari.212@gmail.com>
Date: Wed, 8 Jul 2026 12:48:39 +0200
Subject: [PATCH 5/9] Renaming the jacobiMethodScript.js file to
 jacobiSolver.js

---
 src/FEAScript.js                                       | 2 +-
 src/methods/{jacobiMethodScript.js => jacobiSolver.js} | 0
 tests/unit/jacobiMethod.test.js                        | 2 +-
 3 files changed, 2 insertions(+), 2 deletions(-)
 rename src/methods/{jacobiMethodScript.js => jacobiSolver.js} (100%)

diff --git a/src/FEAScript.js b/src/FEAScript.js
index e7a5dda..5034ef1 100644
--- a/src/FEAScript.js
+++ b/src/FEAScript.js
@@ -9,7 +9,7 @@
 //       Website: https://feascript.com/             \__|  //
 
 // Internal imports
-import { jacobiMethod } from "./methods/jacobiMethodScript.js";
+import { jacobiMethod } from "./methods/jacobiSolver.js";
 import { assembleSolidHeatTransferMat } from "./solvers/solidHeatTransferScript.js";
 import { basicLog, debugLog, errorLog } from "./utilities/loggingScript.js";
 
diff --git a/src/methods/jacobiMethodScript.js b/src/methods/jacobiSolver.js
similarity index 100%
rename from src/methods/jacobiMethodScript.js
rename to src/methods/jacobiSolver.js
diff --git a/tests/unit/jacobiMethod.test.js b/tests/unit/jacobiMethod.test.js
index b8e1799..52c8c38 100644
--- a/tests/unit/jacobiMethod.test.js
+++ b/tests/unit/jacobiMethod.test.js
@@ -11,7 +11,7 @@
  * Run: node tests/unit/jacobiMethod.test.js
  */
 
-import { jacobiMethod } from "../../src/methods/jacobiMethodScript.js";
+import { jacobiMethod } from "../../src/methods/jacobiSolver.js";
 
 let passed = 0;
 let failed = 0;

From ff2e1526c74b359586a1dd79a8f359431801a7cd Mon Sep 17 00:00:00 2001
From: ferrari212 <felipe.ferrari.212@gmail.com>
Date: Wed, 8 Jul 2026 13:57:52 +0200
Subject: [PATCH 6/9] Adding the title for the unit tests

---
 tests/unit/jacobiMethod.test.js | 5 +++++
 1 file changed, 5 insertions(+)

diff --git a/tests/unit/jacobiMethod.test.js b/tests/unit/jacobiMethod.test.js
index 52c8c38..d12dfb8 100644
--- a/tests/unit/jacobiMethod.test.js
+++ b/tests/unit/jacobiMethod.test.js
@@ -13,6 +13,11 @@
 
 import { jacobiMethod } from "../../src/methods/jacobiSolver.js";
 
+console.log("");
+console.log("================================");
+console.log("Unit tests: jacobiMethod");
+console.log("================================");
+
 let passed = 0;
 let failed = 0;
 

From daa5167edec70837ce3177e019c9923cf3087922 Mon Sep 17 00:00:00 2001
From: Nikos Chamakos <nikoscham@gmail.com>
Date: Thu, 9 Jul 2026 08:36:54 +0300
Subject: [PATCH 7/9] Fix formatting issue in package.json

---
 package.json | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/package.json b/package.json
index 653b205..e4ae545 100644
--- a/package.json
+++ b/package.json
@@ -91,7 +91,7 @@
     "rollup-plugin-terser": "^7.0.2",
     "rollup-plugin-typescript2": "^0.36.0",
     "typescript": "^5.8.3",
-    "prettier": "^2.8.8"
+    "prettier": "^2.8.8",
     "rollup-plugin-wasm": "^3.0.0",
     "taichi.js": "^0.0.36"
   }

From 3f031db37e44616e49619059ebd0e475604ba412 Mon Sep 17 00:00:00 2001
From: Nikos Chamakos <nikoscham@gmail.com>
Date: Thu, 9 Jul 2026 08:41:43 +0300
Subject: [PATCH 8/9] Remove prettier from dependencies

I believe it is not required
---
 package.json | 1 -
 1 file changed, 1 deletion(-)

diff --git a/package.json b/package.json
index e4ae545..60f7e0e 100644
--- a/package.json
+++ b/package.json
@@ -91,7 +91,6 @@
     "rollup-plugin-terser": "^7.0.2",
     "rollup-plugin-typescript2": "^0.36.0",
     "typescript": "^5.8.3",
-    "prettier": "^2.8.8",
     "rollup-plugin-wasm": "^3.0.0",
     "taichi.js": "^0.0.36"
   }

From 8e069965a7048e97de37658066838f0286b0a2e2 Mon Sep 17 00:00:00 2001
From: nikoscham <nikoscham@gmail.com>
Date: Thu, 9 Jul 2026 09:59:36 +0300
Subject: [PATCH 9/9] Update directory names for the tests, fix bugs and update
 readme

---
 CONTRIBUTING.md                               |  46 +-
 README.md                                     |   8 +
 package-lock.json                             | 569 +++++++++---------
 package.json                                  |   1 +
 .../HeatConduction1DWall/REGRESSION.md        |  32 +-
 .../HeatConduction1DWall/regression.test.js   |  19 +-
 .../HeatConduction2DFin/REGRESSION.md         |  36 +-
 .../HeatConduction2DFin/regression.test.js    |  20 +-
 tests/run-all-tests.js                        |  15 +-
 tests/unit/jacobiMethod.test.js               | 162 ++---
 10 files changed, 396 insertions(+), 512 deletions(-)

diff --git a/CONTRIBUTING.md b/CONTRIBUTING.md
index 6ea6cd8..97e5221 100644
--- a/CONTRIBUTING.md
+++ b/CONTRIBUTING.md
@@ -10,6 +10,7 @@ Thank you for your interest in contributing! FEAScript is in early development,
 - [Branching & Workflow](#branching--workflow)
 - [Local Testing](#local-testing)
 - [Running the Node.js Examples](#running-the-nodejs-examples)
+- [Verifying Your Changes](#verifying-your-changes)
 
 ## Development Environment & Coding Style
 
@@ -120,49 +121,10 @@ http://127.0.0.1:8000/FEAScript-website/tutorials/solidification-front-2d-worker
 
 Static file server npm packages like [serve](https://github.com/vercel/serve#readme) and [Vite](https://vite.dev/) can also be used.
 
-## Running the Node.js Examples
-
-All examples under `examples/` can be run directly with Node.js to verify the library works in a non-browser environment. Run them from the `FEAScript-core/` directory (so that the `feascript` package resolves via `node_modules`):
+Testing can be also performed at the Node.js environment. In this case you can also run predefined tests to make sure nothing is broken. This performed as follows:
 
 ```bash
-cd /path/to/FEAScript-workspace/FEAScript-core
-
-# Heat conduction — 1D wall
-node examples/heatConductionScript/heatConduction1DWall/heatConduction1DWall.js
-
-# Heat conduction — 2D fin (structured mesh)
-node examples/heatConductionScript/heatConduction2DFin/heatConduction2DFin.js
-
-# Heat conduction — 2D fin (rectangular Gmsh mesh)
-node examples/heatConductionScript/heatConduction2DFin/heatConduction2DFinGmsh.js
-
-# Heat conduction — 2D rhomboid fin (Gmsh mesh)
-node examples/heatConductionScript/heatConduction2DFin/heatConduction2DRhomFinGmsh.js
-
-# Advection-diffusion — 1D with Gaussian source
-node examples/generalFormPDEScript/advectionDiffusion1D/advectionDiffusion1D.js
-
-# Solidification front propagation — 2D
-node examples/frontPropagationScript/solidificationFront2D/solidificationFront2D.js
-
-# Lid-driven cavity — 2D creeping flow
-node examples/creepingFlowScript/lidDrivenCavity2DCreepingFlow/lidDrivenCavity2DCreepingFlow.js
+npm test
 ```
 
-Each script prints its computed solution array to the console. A successful run exits with code 0 and produces numerical output; any import or runtime error indicates a problem.
-
-To run all examples in one go and check for failures:
-
-```bash
-for f in \
-  examples/heatConductionScript/heatConduction1DWall/heatConduction1DWall.js \
-  examples/heatConductionScript/heatConduction2DFin/heatConduction2DFin.js \
-  examples/heatConductionScript/heatConduction2DFin/heatConduction2DFinGmsh.js \
-  examples/heatConductionScript/heatConduction2DFin/heatConduction2DRhomFinGmsh.js \
-  examples/generalFormPDEScript/advectionDiffusion1D/advectionDiffusion1D.js \
-  examples/frontPropagationScript/solidificationFront2D/solidificationFront2D.js \
-  examples/creepingFlowScript/lidDrivenCavity2DCreepingFlow/lidDrivenCavity2DCreepingFlow.js; do
-  echo -n "  $f ... "
-  node "$f" > /dev/null 2>&1 && echo "OK" || echo "FAILED"
-done
-```
+These tests compare the numerical results against stored reference solutions at selected points.
diff --git a/README.md b/README.md
index e5b4e7c..57c0fb2 100644
--- a/README.md
+++ b/README.md
@@ -151,6 +151,14 @@ Here is a minimal browser-based example using the FEAScript API. Adapt paths, ph
 - "conditionType" should be replaced with an actual boundary condition type such as "constantTemp"
 - "boundaryIndex" should be replaced with a string identifying the boundary
 
+Furthermore, the scripts under `examples/` contain Node.js examples. You can run them from the `FEAScript-core/` directory as follows:
+
+```bash
+node examples/heatConductionScript/heatConduction1DWall/heatConduction1DWall.js
+```
+
+Each script prints its computed solution to the console.
+
 ## Support FEAScript
 
 > 💖 **If you find FEAScript useful, please consider supporting its development through a donation:**
diff --git a/package-lock.json b/package-lock.json
index 43fe012..defc303 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -19,11 +19,13 @@
         "@kitware/vtk.js": "^32.12.0",
         "@rollup/plugin-commonjs": "^29.0.2",
         "@rollup/plugin-node-resolve": "^16.0.3",
+        "prettier": "^2.8.8",
         "rollup": "^2.79.2",
         "rollup-plugin-terser": "^7.0.2",
         "rollup-plugin-typescript2": "^0.36.0",
         "rollup-plugin-wasm": "^3.0.0",
-        "taichi.js": "^0.0.36"
+        "taichi.js": "^0.0.36",
+        "typescript": "^5.8.3"
       },
       "peerDependencies": {
         "@kitware/vtk.js": "^32.12.0",
@@ -39,13 +41,13 @@
       }
     },
     "node_modules/@babel/code-frame": {
-      "version": "7.29.0",
-      "resolved": "https://registry.npmjs.org/@babel/code-frame/-/code-frame-7.29.0.tgz",
-      "integrity": "sha512-9NhCeYjq9+3uxgdtp20LSiJXJvN0FeCtNGpJxuMFZ1Kv3cWUNb6DOhJwUvcVCzKGR66cw4njwM6hrJLqgOwbcw==",
+      "version": "7.29.7",
+      "resolved": "https://registry.npmjs.org/@babel/code-frame/-/code-frame-7.29.7.tgz",
+      "integrity": "sha512-Aup7aUOfpbAUg2ROOJN6Iw5f9DMBlzu0mIkm/malLQFN/YQgO48wCj0Kxa3sEHJvPVFg7siR+qRInwXd2qhQKw==",
       "dev": true,
       "license": "MIT",
       "dependencies": {
-        "@babel/helper-validator-identifier": "^7.28.5",
+        "@babel/helper-validator-identifier": "^7.29.7",
         "js-tokens": "^4.0.0",
         "picocolors": "^1.1.1"
       },
@@ -54,9 +56,9 @@
       }
     },
     "node_modules/@babel/compat-data": {
-      "version": "7.29.0",
-      "resolved": "https://registry.npmjs.org/@babel/compat-data/-/compat-data-7.29.0.tgz",
-      "integrity": "sha512-T1NCJqT/j9+cn8fvkt7jtwbLBfLC/1y1c7NtCeXFRgzGTsafi68MRv8yzkYSapBnFA6L3U2VSc02ciDzoAJhJg==",
+      "version": "7.29.7",
+      "resolved": "https://registry.npmjs.org/@babel/compat-data/-/compat-data-7.29.7.tgz",
+      "integrity": "sha512-locTkQyKvwIEgBzVrn8693ebc97F2U8ZHjbXwDXJ5Fn2TCpNwTlKcaKLkdHop5c/icOFE7qt7Q9JC5hnKNa6Gg==",
       "dev": true,
       "license": "MIT",
       "peer": true,
@@ -65,22 +67,22 @@
       }
     },
     "node_modules/@babel/core": {
-      "version": "7.29.0",
-      "resolved": "https://registry.npmjs.org/@babel/core/-/core-7.29.0.tgz",
-      "integrity": "sha512-CGOfOJqWjg2qW/Mb6zNsDm+u5vFQ8DxXfbM09z69p5Z6+mE1ikP2jUXw+j42Pf1XTYED2Rni5f95npYeuwMDQA==",
+      "version": "7.29.7",
+      "resolved": "https://registry.npmjs.org/@babel/core/-/core-7.29.7.tgz",
+      "integrity": "sha512-RgHBCvtjbOK2gXSNBNIkNoEc9qoVEtau3hj8gEqKQuL3HZAibKarWFEI3Lfm6EYKkLalOh8eSrj9b+ch9H/VBA==",
       "dev": true,
       "license": "MIT",
       "peer": true,
       "dependencies": {
-        "@babel/code-frame": "^7.29.0",
-        "@babel/generator": "^7.29.0",
-        "@babel/helper-compilation-targets": "^7.28.6",
-        "@babel/helper-module-transforms": "^7.28.6",
-        "@babel/helpers": "^7.28.6",
-        "@babel/parser": "^7.29.0",
-        "@babel/template": "^7.28.6",
-        "@babel/traverse": "^7.29.0",
-        "@babel/types": "^7.29.0",
+        "@babel/code-frame": "^7.29.7",
+        "@babel/generator": "^7.29.7",
+        "@babel/helper-compilation-targets": "^7.29.7",
+        "@babel/helper-module-transforms": "^7.29.7",
+        "@babel/helpers": "^7.29.7",
+        "@babel/parser": "^7.29.7",
+        "@babel/template": "^7.29.7",
+        "@babel/traverse": "^7.29.7",
+        "@babel/types": "^7.29.7",
         "@jridgewell/remapping": "^2.3.5",
         "convert-source-map": "^2.0.0",
         "debug": "^4.1.0",
@@ -127,15 +129,15 @@
       }
     },
     "node_modules/@babel/generator": {
-      "version": "7.29.1",
-      "resolved": "https://registry.npmjs.org/@babel/generator/-/generator-7.29.1.tgz",
-      "integrity": "sha512-qsaF+9Qcm2Qv8SRIMMscAvG4O3lJ0F1GuMo5HR/Bp02LopNgnZBC/EkbevHFeGs4ls/oPz9v+Bsmzbkbe+0dUw==",
+      "version": "7.29.7",
+      "resolved": "https://registry.npmjs.org/@babel/generator/-/generator-7.29.7.tgz",
+      "integrity": "sha512-DkXD5OJQaAQIdZ1bt3UZdEnHAn9Imd3IVBdX03UFe+ony9Ojw5pzr9YVKGDY1jt+Gcn/FnGkNf8r+Vj5NOJWtQ==",
       "dev": true,
       "license": "MIT",
       "peer": true,
       "dependencies": {
-        "@babel/parser": "^7.29.0",
-        "@babel/types": "^7.29.0",
+        "@babel/parser": "^7.29.7",
+        "@babel/types": "^7.29.7",
         "@jridgewell/gen-mapping": "^0.3.12",
         "@jridgewell/trace-mapping": "^0.3.28",
         "jsesc": "^3.0.2"
@@ -159,15 +161,15 @@
       }
     },
     "node_modules/@babel/helper-compilation-targets": {
-      "version": "7.28.6",
-      "resolved": "https://registry.npmjs.org/@babel/helper-compilation-targets/-/helper-compilation-targets-7.28.6.tgz",
-      "integrity": "sha512-JYtls3hqi15fcx5GaSNL7SCTJ2MNmjrkHXg4FSpOA/grxK8KwyZ5bubHsCq8FXCkua6xhuaaBit+3b7+VZRfcA==",
+      "version": "7.29.7",
+      "resolved": "https://registry.npmjs.org/@babel/helper-compilation-targets/-/helper-compilation-targets-7.29.7.tgz",
+      "integrity": "sha512-wem6WaBj4NaVYVdNhLPPVacES6ZJ+KBBfSkTMD3YZxbP3rm3Di85tJU5ljaUNhaOynt+Aj0xruhYuzQBt8n71g==",
       "dev": true,
       "license": "MIT",
       "peer": true,
       "dependencies": {
-        "@babel/compat-data": "^7.28.6",
-        "@babel/helper-validator-option": "^7.27.1",
+        "@babel/compat-data": "^7.29.7",
+        "@babel/helper-validator-option": "^7.29.7",
         "browserslist": "^4.24.0",
         "lru-cache": "^5.1.1",
         "semver": "^6.3.1"
@@ -289,9 +291,9 @@
       }
     },
     "node_modules/@babel/helper-globals": {
-      "version": "7.28.0",
-      "resolved": "https://registry.npmjs.org/@babel/helper-globals/-/helper-globals-7.28.0.tgz",
-      "integrity": "sha512-+W6cISkXFa1jXsDEdYA8HeevQT/FULhxzR99pxphltZcVaugps53THCeiWA8SguxxpSp3gKPiuYfSWopkLQ4hw==",
+      "version": "7.29.7",
+      "resolved": "https://registry.npmjs.org/@babel/helper-globals/-/helper-globals-7.29.7.tgz",
+      "integrity": "sha512-3nQVUAtvkKH9zahfWgw96Jc/uFOmjACE1kQz82E2lqWmHBgjzbNlsC22nuQTfahmWeQtTq5nQ/4Nnd2A1wj4zA==",
       "dev": true,
       "license": "MIT",
       "peer": true,
@@ -315,31 +317,31 @@
       }
     },
     "node_modules/@babel/helper-module-imports": {
-      "version": "7.28.6",
-      "resolved": "https://registry.npmjs.org/@babel/helper-module-imports/-/helper-module-imports-7.28.6.tgz",
-      "integrity": "sha512-l5XkZK7r7wa9LucGw9LwZyyCUscb4x37JWTPz7swwFE/0FMQAGpiWUZn8u9DzkSBWEcK25jmvubfpw2dnAMdbw==",
+      "version": "7.29.7",
+      "resolved": "https://registry.npmjs.org/@babel/helper-module-imports/-/helper-module-imports-7.29.7.tgz",
+      "integrity": "sha512-ejHwrQQYcm9xnTivShn2IDOlIzInN34AXskvq9QicvCtEzq1Vzclu/tKF8Jq1Cg8JG2GL6/EmjgsCT7lXepE3g==",
       "dev": true,
       "license": "MIT",
       "peer": true,
       "dependencies": {
-        "@babel/traverse": "^7.28.6",
-        "@babel/types": "^7.28.6"
+        "@babel/traverse": "^7.29.7",
+        "@babel/types": "^7.29.7"
       },
       "engines": {
         "node": ">=6.9.0"
       }
     },
     "node_modules/@babel/helper-module-transforms": {
-      "version": "7.28.6",
-      "resolved": "https://registry.npmjs.org/@babel/helper-module-transforms/-/helper-module-transforms-7.28.6.tgz",
-      "integrity": "sha512-67oXFAYr2cDLDVGLXTEABjdBJZ6drElUSI7WKp70NrpyISso3plG9SAGEF6y7zbha/wOzUByWWTJvEDVNIUGcA==",
+      "version": "7.29.7",
+      "resolved": "https://registry.npmjs.org/@babel/helper-module-transforms/-/helper-module-transforms-7.29.7.tgz",
+      "integrity": "sha512-UPUVSyXbOh627KiCIGQSgwWzGeBKLkaJ9PJEdrngIwMSzxLR4jS4+f1f1jb7VzBbg8nFLaYotvVPFCTqdrmTAg==",
       "dev": true,
       "license": "MIT",
       "peer": true,
       "dependencies": {
-        "@babel/helper-module-imports": "^7.28.6",
-        "@babel/helper-validator-identifier": "^7.28.5",
-        "@babel/traverse": "^7.28.6"
+        "@babel/helper-module-imports": "^7.29.7",
+        "@babel/helper-validator-identifier": "^7.29.7",
+        "@babel/traverse": "^7.29.7"
       },
       "engines": {
         "node": ">=6.9.0"
@@ -363,9 +365,9 @@
       }
     },
     "node_modules/@babel/helper-plugin-utils": {
-      "version": "7.28.6",
-      "resolved": "https://registry.npmjs.org/@babel/helper-plugin-utils/-/helper-plugin-utils-7.28.6.tgz",
-      "integrity": "sha512-S9gzZ/bz83GRysI7gAD4wPT/AI3uCnY+9xn+Mx/KPs2JwHJIz1W8PZkg2cqyt3RNOBM8ejcXhV6y8Og7ly/Dug==",
+      "version": "7.29.7",
+      "resolved": "https://registry.npmjs.org/@babel/helper-plugin-utils/-/helper-plugin-utils-7.29.7.tgz",
+      "integrity": "sha512-G7sHYigPY17oO5SYWnfD/0MTBwVR781S/JI643e/JhUYgVgWE/61SoW3NH9KWUKyKq5LVh3npif99Wkt6j86Jw==",
       "dev": true,
       "license": "MIT",
       "peer": true,
@@ -427,9 +429,9 @@
       }
     },
     "node_modules/@babel/helper-string-parser": {
-      "version": "7.27.1",
-      "resolved": "https://registry.npmjs.org/@babel/helper-string-parser/-/helper-string-parser-7.27.1.tgz",
-      "integrity": "sha512-qMlSxKbpRlAridDExk92nSobyDdpPijUq2DW6oDnUqd0iOGxmQjyqhMIihI9+zv4LPyZdRje2cavWPbCbWm3eA==",
+      "version": "7.29.7",
+      "resolved": "https://registry.npmjs.org/@babel/helper-string-parser/-/helper-string-parser-7.29.7.tgz",
+      "integrity": "sha512-Pb5ijPrZ89GDH8223L4UP8i6QApWxs04RbPQJTeWDV0/keR2E36MeKnyr6LYmUUvqRRI+Iv87SuF1W6ErINzYw==",
       "dev": true,
       "license": "MIT",
       "peer": true,
@@ -438,9 +440,9 @@
       }
     },
     "node_modules/@babel/helper-validator-identifier": {
-      "version": "7.28.5",
-      "resolved": "https://registry.npmjs.org/@babel/helper-validator-identifier/-/helper-validator-identifier-7.28.5.tgz",
-      "integrity": "sha512-qSs4ifwzKJSV39ucNjsvc6WVHs6b7S03sOh2OcHF9UHfVPqWWALUsNUVzhSBiItjRZoLHx7nIarVjqKVusUZ1Q==",
+      "version": "7.29.7",
+      "resolved": "https://registry.npmjs.org/@babel/helper-validator-identifier/-/helper-validator-identifier-7.29.7.tgz",
+      "integrity": "sha512-qehxGkRj55h/ff8EMaJ+cYhyaKlHIxqYDn682wQD7RNp9UujOQsHog2uS0r2vzr4pW+sXf90NeeayjcNaX3fFg==",
       "dev": true,
       "license": "MIT",
       "engines": {
@@ -448,9 +450,9 @@
       }
     },
     "node_modules/@babel/helper-validator-option": {
-      "version": "7.27.1",
-      "resolved": "https://registry.npmjs.org/@babel/helper-validator-option/-/helper-validator-option-7.27.1.tgz",
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+      },
+      "funding": {
+        "url": "https://github.com/chalk/supports-color?sponsor=1"
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+    },
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       "version": "1.4.0",
       "resolved": "https://registry.npmjs.org/mouse-change/-/mouse-change-1.4.0.tgz",
@@ -9833,9 +9877,9 @@
       "peer": true
     },
     "node_modules/nanoid": {
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-      "resolved": "https://registry.npmjs.org/nanoid/-/nanoid-3.3.11.tgz",
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+      "version": "3.3.15",
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+      "integrity": "sha512-y7Wygv/7mEOvxTuEQDB8StXdMRBWf1kR/tlhAzBRUFkB2jfcLOAxO/SHmOO2zgz1pVgK29/kyupn059/bCHdjA==",
       "devOptional": true,
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@@ -10102,9 +10146,9 @@
       "license": "ISC"
     },
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-      "version": "4.0.2",
-      "resolved": "https://registry.npmjs.org/picomatch/-/picomatch-4.0.2.tgz",
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+      "version": "4.0.5",
+      "resolved": "https://registry.npmjs.org/picomatch/-/picomatch-4.0.5.tgz",
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       "dev": true,
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@@ -10206,9 +10250,9 @@
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-      "resolved": "https://registry.npmjs.org/postcss/-/postcss-8.5.6.tgz",
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+      "resolved": "https://registry.npmjs.org/postcss/-/postcss-8.5.16.tgz",
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@@ -10227,7 +10271,7 @@
       "license": "MIT",
       "peer": true,
       "dependencies": {
-        "nanoid": "^3.3.11",
+        "nanoid": "^3.3.12",
         "picocolors": "^1.1.1",
         "source-map-js": "^1.2.1"
       },
@@ -10333,6 +10377,22 @@
       "optional": true,
       "peer": true
     },
+    "node_modules/prettier": {
+      "version": "2.8.8",
+      "resolved": "https://registry.npmjs.org/prettier/-/prettier-2.8.8.tgz",
+      "integrity": "sha512-tdN8qQGvNjw4CHbY+XXk0JgCXn9QiF21a55rBe5LJAU+kDyC4WQn4+awm2Xfk2lQMk5fKup9XgzTZtGkjBdP9Q==",
+      "dev": true,
+      "license": "MIT",
+      "bin": {
+        "prettier": "bin-prettier.js"
+      },
+      "engines": {
+        "node": ">=10.13.0"
+      },
+      "funding": {
+        "url": "https://github.com/prettier/prettier?sponsor=1"
+      }
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     "node_modules/probe-image-size": {
       "version": "7.2.3",
       "resolved": "https://registry.npmjs.org/probe-image-size/-/probe-image-size-7.2.3.tgz",
@@ -10355,9 +10415,9 @@
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-      "version": "3.6.0",
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+      "version": "3.6.1",
+      "resolved": "https://registry.npmjs.org/protocol-buffers-schema/-/protocol-buffers-schema-3.6.1.tgz",
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@@ -10395,7 +10455,7 @@
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-      "devOptional": true,
+      "dev": true,
       "license": "MIT",
       "dependencies": {
         "safe-buffer": "^5.1.0"
@@ -10657,9 +10717,9 @@
       "peer": true
     },
     "node_modules/rollup": {
-      "version": "2.79.2",
-      "resolved": "https://registry.npmjs.org/rollup/-/rollup-2.79.2.tgz",
-      "integrity": "sha512-fS6iqSPZDs3dr/y7Od6y5nha8dW1YnbgtsyotCVvoFGKbERG++CVRFv1meyGDE1SNItQA8BrnCw7ScdAhRJ3XQ==",
+      "version": "2.80.0",
+      "resolved": "https://registry.npmjs.org/rollup/-/rollup-2.80.0.tgz",
+      "integrity": "sha512-cIFJOD1DESzpjOBl763Kp1AH7UE/0fcdHe6rZXUdQ9c50uvgigvW97u3IcSeBwOkgqL/PXPBktBCh0KEu5L8XQ==",
       "dev": true,
       "license": "MIT",
       "bin": {
@@ -10722,9 +10782,9 @@
       }
     },
     "node_modules/rollup-plugin-typescript2/node_modules/picomatch": {
-      "version": "2.3.1",
-      "resolved": "https://registry.npmjs.org/picomatch/-/picomatch-2.3.1.tgz",
-      "integrity": "sha512-JU3teHTNjmE2VCGFzuY8EXzCDVwEqB2a8fsIvwaStHhAWJEeVd1o1QD80CU6+ZdEXXSLbSsuLwJjkCBWqRQUVA==",
+      "version": "2.3.2",
+      "resolved": "https://registry.npmjs.org/picomatch/-/picomatch-2.3.2.tgz",
+      "integrity": "sha512-V7+vQEJ06Z+c5tSye8S+nHUfI51xoXIXjHQ99cQtKUkQqqO1kO/KCJUfZXuB47h/YBlDhah2H3hdUGXn8ie0oA==",
       "dev": true,
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@@ -11179,9 +11239,9 @@
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-      "version": "2.3.0",
-      "resolved": "https://registry.npmjs.org/tapable/-/tapable-2.3.0.tgz",
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+      "version": "2.3.3",
+      "resolved": "https://registry.npmjs.org/tapable/-/tapable-2.3.3.tgz",
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       "devOptional": true,
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@@ -11212,86 +11272,6 @@
         "node": ">=10"
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-        "serialize-javascript": "^6.0.2",
-        "terser": "^5.31.1"
-      },
-      "engines": {
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-      },
-      "funding": {
-        "type": "opencollective",
-        "url": "https://opencollective.com/webpack"
-      },
-      "peerDependencies": {
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-      "peerDependenciesMeta": {
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-        "esbuild": {
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-        "uglify-js": {
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-    "node_modules/terser-webpack-plugin/node_modules/jest-worker": {
-      "version": "27.5.1",
-      "resolved": "https://registry.npmjs.org/jest-worker/-/jest-worker-27.5.1.tgz",
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-      "peer": true,
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-    "node_modules/terser-webpack-plugin/node_modules/supports-color": {
-      "version": "8.1.1",
-      "resolved": "https://registry.npmjs.org/supports-color/-/supports-color-8.1.1.tgz",
-      "integrity": "sha512-MpUEN2OodtUzxvKQl72cUF7RQ5EiHsGvSsVG0ia9c5RbWGL2CI4C7EpPS8UTBIplnlzZiNuV56w+FuNxy3ty2Q==",
-      "devOptional": true,
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-      "funding": {
-        "url": "https://github.com/chalk/supports-color?sponsor=1"
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     "node_modules/texture-compressor": {
       "version": "1.0.2",
       "resolved": "https://registry.npmjs.org/texture-compressor/-/texture-compressor-1.0.2.tgz",
@@ -11423,7 +11403,6 @@
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       "dev": true,
       "license": "Apache-2.0",
-      "peer": true,
       "bin": {
         "tsc": "bin/tsc",
         "tsserver": "bin/tsserver"
@@ -11586,14 +11565,13 @@
       }
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-      "version": "2.4.4",
-      "resolved": "https://registry.npmjs.org/watchpack/-/watchpack-2.4.4.tgz",
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+      "version": "2.5.2",
+      "resolved": "https://registry.npmjs.org/watchpack/-/watchpack-2.5.2.tgz",
+      "integrity": "sha512-6i/00NBjP4yGPs+caKSyRfpTF/8Torsu0MOW3mMzIbhgISFder8i7xbqgHlLMwJrdiN8ndBV3UA1/AfzPSr+jg==",
       "devOptional": true,
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       "peer": true,
       "dependencies": {
-        "glob-to-regexp": "^0.4.1",
         "graceful-fs": "^4.1.2"
       },
       "engines": {
@@ -11620,38 +11598,35 @@
       }
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-      "version": "5.102.1",
-      "resolved": "https://registry.npmjs.org/webpack/-/webpack-5.102.1.tgz",
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+      "version": "5.108.4",
+      "resolved": "https://registry.npmjs.org/webpack/-/webpack-5.108.4.tgz",
+      "integrity": "sha512-yur8LyJoeiWh47dErD+Ok7vlbmDsJ3UbbRPAoxbGJ54WpE2y5yVo5G/inUzujnYgw3tPmBRdn+G7PoxXaYC33w==",
       "devOptional": true,
       "license": "MIT",
       "peer": true,
       "dependencies": {
-        "@types/eslint-scope": "^3.7.7",
         "@types/estree": "^1.0.8",
         "@types/json-schema": "^7.0.15",
         "@webassemblyjs/ast": "^1.14.1",
         "@webassemblyjs/wasm-edit": "^1.14.1",
         "@webassemblyjs/wasm-parser": "^1.14.1",
-        "acorn": "^8.15.0",
+        "acorn": "^8.16.0",
         "acorn-import-phases": "^1.0.3",
-        "browserslist": "^4.26.3",
+        "browserslist": "^4.28.1",
         "chrome-trace-event": "^1.0.2",
-        "enhanced-resolve": "^5.17.3",
-        "es-module-lexer": "^1.2.1",
+        "enhanced-resolve": "^5.22.2",
+        "es-module-lexer": "^2.1.0",
         "eslint-scope": "5.1.1",
         "events": "^3.2.0",
-        "glob-to-regexp": "^0.4.1",
         "graceful-fs": "^4.2.11",
-        "json-parse-even-better-errors": "^2.3.1",
-        "loader-runner": "^4.2.0",
-        "mime-types": "^2.1.27",
+        "loader-runner": "^4.3.2",
+        "mime-db": "^1.54.0",
+        "minimizer-webpack-plugin": "^5.6.1",
         "neo-async": "^2.6.2",
         "schema-utils": "^4.3.3",
         "tapable": "^2.3.0",
-        "terser-webpack-plugin": "^5.3.11",
-        "watchpack": "^2.4.4",
-        "webpack-sources": "^3.3.3"
+        "watchpack": "^2.5.2",
+        "webpack-sources": "^3.5.0"
       },
       "bin": {
         "webpack": "bin/webpack.js"
@@ -11670,9 +11645,9 @@
       }
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     "node_modules/webpack-sources": {
-      "version": "3.3.3",
-      "resolved": "https://registry.npmjs.org/webpack-sources/-/webpack-sources-3.3.3.tgz",
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+      "version": "3.5.1",
+      "resolved": "https://registry.npmjs.org/webpack-sources/-/webpack-sources-3.5.1.tgz",
+      "integrity": "sha512-jyuiGJdtvY434z5bUZrjz67v76/ePNvFZTp9Mdz29IlH4+GPsgyGjiv0fKI+M7BdkU6ADjulUcKAd3tUK3WlEw==",
       "devOptional": true,
       "license": "MIT",
       "peer": true,
diff --git a/package.json b/package.json
index 60f7e0e..e4ae545 100644
--- a/package.json
+++ b/package.json
@@ -91,6 +91,7 @@
     "rollup-plugin-terser": "^7.0.2",
     "rollup-plugin-typescript2": "^0.36.0",
     "typescript": "^5.8.3",
+    "prettier": "^2.8.8",
     "rollup-plugin-wasm": "^3.0.0",
     "taichi.js": "^0.0.36"
   }
diff --git a/tests/regression/HeatConduction1DWall/REGRESSION.md b/tests/regression/HeatConduction1DWall/REGRESSION.md
index 579ffac..6359a5b 100644
--- a/tests/regression/HeatConduction1DWall/REGRESSION.md
+++ b/tests/regression/HeatConduction1DWall/REGRESSION.md
@@ -11,18 +11,18 @@ and asserts a known good value.
 
 ## Problem setup
 
-| Parameter | Value |
-|-----------|-------|
-| Domain | 1D, 0 – 0.15 m |
-| Mesh | 10 linear elements |
-| Boundary 0 (x = 0) | Convection, h = 1, T∞ = 25 °C |
+| Parameter             | Value                          |
+| --------------------- | ------------------------------ |
+| Domain                | 1D, 0 – 0.15 m                 |
+| Mesh                  | 10 linear elements             |
+| Boundary 0 (x = 0)    | Convection, h = 1, T∞ = 25 °C  |
 | Boundary 1 (x = 0.15) | Constant temperature, T = 5 °C |
-| Solver | LU decomposition (`lusolve`) |
+| Solver                | LU decomposition (`lusolve`)   |
 
 ## Expected value
 
-| Quantity | Value |
-|----------|-------|
+| Quantity                      | Value           |
+| ----------------------------- | --------------- |
 | Temperature at node 0 (x = 0) | **10.29412 °C** |
 
 Tolerance used in the assertion: `1e-4`.
@@ -47,15 +47,15 @@ The `test` script in `package.json` also runs this file, so `npm test` works too
 
 ## After modifying the code
 
-| Situation | Action |
-|-----------|--------|
-| Bug fix that should not change results | Run the test — it must still pass. |
+| Situation                                                                   | Action                                                                                                    |
+| --------------------------------------------------------------------------- | --------------------------------------------------------------------------------------------------------- |
+| Bug fix that should not change results                                      | Run the test — it must still pass.                                                                        |
 | Intentional algorithm change (new element type, new integration rule, etc.) | Re-derive the expected value, update `EXPECTED_T0` in `regression.test.js`, and document the reason here. |
-| New boundary condition API | Update both the test and the reference HTML example together. |
-| Adding a new solver method | Add a separate assertion block for the new method; keep the `lusolve` block untouched as the baseline. |
+| New boundary condition API                                                  | Update both the test and the reference HTML example together.                                             |
+| Adding a new solver method                                                  | Add a separate assertion block for the new method; keep the `lusolve` block untouched as the baseline.    |
 
 ## Change log
 
-| Date | Change | New expected value |
-|------|--------|--------------------|
-| 2026-06-14 | Initial regression baseline | 10.29412 |
+| Date       | Change                      | New expected value |
+| ---------- | --------------------------- | ------------------ |
+| 2026-06-14 | Initial regression baseline | 10.29412           |
diff --git a/tests/regression/HeatConduction1DWall/regression.test.js b/tests/regression/HeatConduction1DWall/regression.test.js
index fbd5f2b..faf7858 100644
--- a/tests/regression/HeatConduction1DWall/regression.test.js
+++ b/tests/regression/HeatConduction1DWall/regression.test.js
@@ -9,7 +9,7 @@
 
 import * as mathjs from "mathjs";
 import { FEAScriptModel } from "../../../src/FEAScript.js";
-import { basicLog } from "../../../src/utilities/loggingScript.js";
+import { basicLog, errorLog } from "../../../src/utilities/logging.js";
 
 // FEAScript.js references `math` as a global (loaded via CDN in browser).
 // Set it here before any solve() call.
@@ -21,11 +21,7 @@ const TOLERANCE = 1e-4;
 function runSimulation() {
   const model = new FEAScriptModel();
 
-  basicLog("")
-  basicLog("================================")
-  basicLog("Starting test in solid heat transfer 1D wall...")
-
-  model.setSolverConfig("solidHeatTransferScript");
+  model.setModelConfig("heatConductionScript");
   model.setMeshConfig({
     meshDimension: "1D",
     elementOrder: "linear",
@@ -42,11 +38,14 @@ function runSimulation() {
 
 function assert(condition, message) {
   if (!condition) {
-    console.error(`FAIL: ${message}`);
+    errorLog(`FAIL: ${message}`);
     process.exit(1);
   }
 }
 
+basicLog("");
+basicLog("================================");
+basicLog("Starting test in solid heat transfer 1D wall...");
 const { solutionVector } = runSimulation();
 
 // solutionVector from math.lusolve is a nested array: [[T0], [T1], ...]
@@ -54,8 +53,8 @@ const T0 = Array.isArray(solutionVector[0]) ? solutionVector[0][0] : solutionVec
 
 assert(
   Math.abs(T0 - EXPECTED_T0) < TOLERANCE,
-  `Temperature at node 0: expected ${EXPECTED_T0}, got ${T0} (tolerance ${TOLERANCE})`
+  `Temperature at node 0: expected ${EXPECTED_T0}, got ${T0} (tolerance ${TOLERANCE})`,
 );
 
-console.log(`PASS: T(x=0) = ${T0.toFixed(5)} (expected ${EXPECTED_T0})`);
-basicLog("================================")
+basicLog(`PASS: T(x=0) = ${T0.toFixed(5)} (expected ${EXPECTED_T0})`);
+basicLog("================================");
diff --git a/tests/regression/HeatConduction2DFin/REGRESSION.md b/tests/regression/HeatConduction2DFin/REGRESSION.md
index 5bea510..4c27f0d 100644
--- a/tests/regression/HeatConduction2DFin/REGRESSION.md
+++ b/tests/regression/HeatConduction2DFin/REGRESSION.md
@@ -11,20 +11,20 @@ and asserts a known good value at a representative interior point.
 
 ## Problem setup
 
-| Parameter | Value |
-|-----------|-------|
-| Domain | 2D, x ∈ [0, 4] m, y ∈ [0, 2] m |
-| Mesh | 8 × 4 quadratic elements |
+| Parameter                  | Value                            |
+| -------------------------- | -------------------------------- |
+| Domain                     | 2D, x ∈ [0, 4] m, y ∈ [0, 2] m   |
+| Mesh                       | 8 × 4 quadratic elements         |
 | Boundary 0 (bottom, y = 0) | Constant temperature, T = 200 °C |
-| Boundary 1 (left, x = 0) | Symmetry (zero flux) |
-| Boundary 2 (top, y = 2) | Convection, h = 1, T∞ = 20 °C |
-| Boundary 3 (right, x = 4) | Constant temperature, T = 200 °C |
-| Solver | LU decomposition (`lusolve`) |
+| Boundary 1 (left, x = 0)   | Symmetry (zero flux)             |
+| Boundary 2 (top, y = 2)    | Convection, h = 1, T∞ = 20 °C    |
+| Boundary 3 (right, x = 4)  | Constant temperature, T = 200 °C |
+| Solver                     | LU decomposition (`lusolve`)     |
 
 ## Expected value
 
-| Quantity | Value |
-|----------|-------|
+| Quantity                           | Value           |
+| ---------------------------------- | --------------- |
 | Temperature at node (x = 0, y = 2) | **81.31873 °C** |
 
 This point sits at the top-left corner of the fin — on the symmetry boundary and
@@ -53,15 +53,15 @@ Running `npm test` executes all regression tests, including this one.
 
 ## After modifying the code
 
-| Situation | Action |
-|-----------|--------|
-| Bug fix that should not change results | Run the test — it must still pass. |
+| Situation                                                                   | Action                                                                                                   |
+| --------------------------------------------------------------------------- | -------------------------------------------------------------------------------------------------------- |
+| Bug fix that should not change results                                      | Run the test — it must still pass.                                                                       |
 | Intentional algorithm change (new element type, new integration rule, etc.) | Re-derive the expected value, update `EXPECTED_T` in `regression.test.js`, and document the reason here. |
-| New boundary condition API | Update both the test and the reference HTML example together. |
-| Mesh refinement study | Add a separate assertion block for the refined mesh; keep the current block as the coarse-mesh baseline. |
+| New boundary condition API                                                  | Update both the test and the reference HTML example together.                                            |
+| Mesh refinement study                                                       | Add a separate assertion block for the refined mesh; keep the current block as the coarse-mesh baseline. |
 
 ## Change log
 
-| Date | Change | New expected value |
-|------|--------|--------------------|
-| 2026-06-14 | Initial regression baseline | 81.31873 |
+| Date       | Change                      | New expected value |
+| ---------- | --------------------------- | ------------------ |
+| 2026-06-14 | Initial regression baseline | 81.31873           |
diff --git a/tests/regression/HeatConduction2DFin/regression.test.js b/tests/regression/HeatConduction2DFin/regression.test.js
index b57d48e..334d3cb 100644
--- a/tests/regression/HeatConduction2DFin/regression.test.js
+++ b/tests/regression/HeatConduction2DFin/regression.test.js
@@ -9,11 +9,11 @@
 
 import * as mathjs from "mathjs";
 import { FEAScriptModel } from "../../../src/FEAScript.js";
-import { basicLog } from "../../../src/utilities/loggingScript.js";
+import { basicLog, errorLog } from "../../../src/utilities/logging.js";
 
-basicLog("")
-basicLog("================================")
-basicLog("Starting test in solid heat transfer 2D fin...")
+basicLog("");
+basicLog("================================");
+basicLog("Starting test in solid heat transfer 2D fin...");
 
 // FEAScript.js references `math` as a global (loaded via CDN in browser).
 // Set it here before any solve() call.
@@ -27,7 +27,7 @@ const TOLERANCE = 1e-4;
 function runSimulation() {
   const model = new FEAScriptModel();
 
-  model.setSolverConfig("solidHeatTransferScript");
+  model.setModelConfig("heatConductionScript");
   model.setMeshConfig({
     meshDimension: "2D",
     elementOrder: "quadratic",
@@ -48,7 +48,7 @@ function runSimulation() {
 
 function assert(condition, message) {
   if (!condition) {
-    console.error(`FAIL: ${message}`);
+    errorLog(`FAIL: ${message}`);
     process.exit(1);
   }
 }
@@ -59,7 +59,7 @@ const { nodesXCoordinates, nodesYCoordinates } = nodesCoordinates;
 // Locate the node at (x=0, y=2) by searching coordinates.
 // This is robust against changes in mesh ordering conventions.
 const nodeIndex = nodesXCoordinates.findIndex(
-  (x, i) => Math.abs(x - EXPECTED_X) < 1e-10 && Math.abs(nodesYCoordinates[i] - EXPECTED_Y) < 1e-10
+  (x, i) => Math.abs(x - EXPECTED_X) < 1e-10 && Math.abs(nodesYCoordinates[i] - EXPECTED_Y) < 1e-10,
 );
 
 assert(nodeIndex !== -1, `No node found at (x=${EXPECTED_X}, y=${EXPECTED_Y})`);
@@ -69,9 +69,9 @@ const T = Array.isArray(solutionVector[nodeIndex]) ? solutionVector[nodeIndex][0
 
 assert(
   Math.abs(T - EXPECTED_T) < TOLERANCE,
-  `Temperature at (x=${EXPECTED_X}, y=${EXPECTED_Y}): expected ${EXPECTED_T}, got ${T} (tolerance ${TOLERANCE})`
+  `Temperature at (x=${EXPECTED_X}, y=${EXPECTED_Y}): expected ${EXPECTED_T}, got ${T} (tolerance ${TOLERANCE})`,
 );
 
-console.log(`PASS: T(x=${EXPECTED_X}, y=${EXPECTED_Y}) = ${T.toFixed(5)} (expected ${EXPECTED_T})`);
+basicLog(`PASS: T(x=${EXPECTED_X}, y=${EXPECTED_Y}) = ${T.toFixed(5)} (expected ${EXPECTED_T})`);
 
-basicLog("================================")
\ No newline at end of file
+basicLog("================================");
diff --git a/tests/run-all-tests.js b/tests/run-all-tests.js
index 8901fcc..e1f848d 100644
--- a/tests/run-all-tests.js
+++ b/tests/run-all-tests.js
@@ -9,6 +9,7 @@ import { readdirSync, statSync } from "fs";
 import { join, relative } from "path";
 import { spawnSync } from "child_process";
 import { fileURLToPath } from "url";
+import { basicLog, errorLog, warnLog } from "../src/utilities/logging.js";
 
 const __dirname = fileURLToPath(new URL(".", import.meta.url));
 
@@ -29,11 +30,12 @@ function collectTestFiles(dir) {
 const testFiles = collectTestFiles(__dirname);
 
 if (testFiles.length === 0) {
-  console.log("No test files found.");
+  warnLog("No test files found.");
   process.exit(0);
 }
 
-console.log(`Found ${testFiles.length} test file(s).\n`);
+basicLog(`Found ${testFiles.length} test file(s).`);
+basicLog("");
 
 let passed = 0;
 let failed = 0;
@@ -44,10 +46,15 @@ for (const file of testFiles) {
   if (result.status === 0) {
     passed++;
   } else {
-    console.error(`\nFAILED: ${label}\n`);
+    errorLog(`FAILED: ${label}`);
+    basicLog("");
     failed++;
   }
 }
 
-console.log(`\n${passed} passed, ${failed} failed.`);
+if (failed > 0) {
+  errorLog(`${passed} passed, ${failed} failed.`);
+} else {
+  basicLog(`${passed} passed, ${failed} failed.`);
+}
 process.exit(failed > 0 ? 1 : 0);
diff --git a/tests/unit/jacobiMethod.test.js b/tests/unit/jacobiMethod.test.js
index d12dfb8..070ce5f 100644
--- a/tests/unit/jacobiMethod.test.js
+++ b/tests/unit/jacobiMethod.test.js
@@ -1,152 +1,84 @@
 /**
- * Unit tests for jacobiMethod
+ * Unit tests for jacobiSolver
  *
  * Covers:
- *  - No data          : called with no arguments
- *  - Missing data     : required arguments omitted (b, x0)
- *  - Invalid data     : wrong types / non-square matrix / empty matrix
- *  - Out of boundaries: zero diagonal element, mismatched vector lengths
- *  - Success case     : diagonally dominant 2×2 system with known solution
+ *  - Success case on a diagonally dominant 2x2 system
+ *  - Non-convergence when maxIterations is too small
  *
  * Run: node tests/unit/jacobiMethod.test.js
  */
 
-import { jacobiMethod } from "../../src/methods/jacobiSolver.js";
+import { jacobiSolver } from "../../src/methods/jacobiSolver.js";
+import { basicLog, errorLog } from "../../src/utilities/logging.js";
 
-console.log("");
-console.log("================================");
-console.log("Unit tests: jacobiMethod");
-console.log("================================");
+basicLog("");
+basicLog("================================");
+basicLog("Unit tests: jacobiSolver");
 
 let passed = 0;
 let failed = 0;
 
 function assert(condition, message) {
   if (!condition) {
-    console.error(`  FAIL: ${message}`);
+    errorLog(`FAIL: ${message}`);
     failed++;
   } else {
-    console.log(`  PASS: ${message}`);
+    basicLog(`PASS: ${message}`);
     passed++;
   }
 }
 
-function assertThrows(fn, expectedFragment, label) {
-  try {
-    fn();
-    console.error(`  FAIL: ${label} — expected an error but none was thrown`);
-    failed++;
-  } catch (err) {
-    if (err.message.includes(expectedFragment)) {
-      console.log(`  PASS: ${label}`);
-      passed++;
-    } else {
-      console.error(`  FAIL: ${label} — wrong error message.\n    Expected fragment: "${expectedFragment}"\n    Got: "${err.message}"`);
-      failed++;
-    }
-  }
-}
-
-// ---------------------------------------------------------------------------
-// 1. NO DATA — called with no arguments at all
-// ---------------------------------------------------------------------------
-console.log("\n[1] No data");
-
-assertThrows(
-  () => jacobiMethod(),
-  "Matrix A must be a non-empty array",
-  "jacobiMethod() with no arguments throws on missing A"
-);
-
-// ---------------------------------------------------------------------------
-// 2. MISSING DATA — required arguments omitted
 // ---------------------------------------------------------------------------
-console.log("\n[2] Missing data");
-
-assertThrows(
-  () => jacobiMethod([[4, 1], [2, 3]]),
-  "Vector b must have length",
-  "Missing b argument throws dimension error"
-);
-
-assertThrows(
-  () => jacobiMethod([[4, 1], [2, 3]], [9, 8]),
-  "Initial guess x0 must have length",
-  "Missing x0 argument throws dimension error"
-);
-
-// ---------------------------------------------------------------------------
-// 3. INVALID DATA — wrong types or non-square matrix
-// ---------------------------------------------------------------------------
-console.log("\n[3] Invalid data");
-
-assertThrows(
-  () => jacobiMethod("not-an-array", [1, 2], [0, 0]),
-  "Matrix A must be a non-empty array",
-  "String passed as A throws type error"
-);
-
-assertThrows(
-  () => jacobiMethod([], [], []),
-  "Matrix A must be a non-empty array",
-  "Empty matrix A throws non-empty error"
-);
-
-assertThrows(
-  () => jacobiMethod([[1, 2, 3], [4, 5, 6]], [1, 2], [0, 0]),
-  "Matrix A must be square",
-  "Non-square matrix (2x3) throws square error"
-);
-
-// ---------------------------------------------------------------------------
-// 4. DATA OUT OF BOUNDARIES — mathematical constraints violated
-// ---------------------------------------------------------------------------
-console.log("\n[4] Data out of boundaries");
-
-assertThrows(
-  () => jacobiMethod([[0, 1], [1, 3]], [1, 2], [0, 0]),
-  "Diagonal element A[0][0] is zero",
-  "Zero diagonal element throws divide-by-zero guard"
-);
-
-assertThrows(
-  () => jacobiMethod([[4, 1], [2, 3]], [9, 8, 7], [0, 0]),
-  "Vector b must have length 2",
-  "b longer than n throws dimension mismatch"
-);
-
-assertThrows(
-  () => jacobiMethod([[4, 1], [2, 3]], [9, 8], [0, 0, 0]),
-  "Initial guess x0 must have length 2",
-  "x0 longer than n throws dimension mismatch"
-);
-
-// ---------------------------------------------------------------------------
-// 5. SUCCESS CASE — diagonally dominant 2×2 system
+// 1. SUCCESS CASE — diagonally dominant 2x2 system
 //
 //   10x + 2y = 12      exact solution: x = 1, y = 1
 //    1x + 5y = 6
-//
-//   Diagonal dominance: |10| > |2| and |5| > |1| — guaranteed convergence.
 // ---------------------------------------------------------------------------
-console.log("\n[5] Success case");
-
-const A  = [[10, 2], [1, 5]];
-const b  = [12, 6];
+basicLog("");
+basicLog("[1] Success case");
+
+const A = [
+  [10, 2],
+  [1, 5],
+];
+const b = [12, 6];
 const x0 = [0, 0];
 
-const result = jacobiMethod(A, b, x0);
+const result = jacobiSolver(A, b, x0, {
+  maxIterations: 500,
+  tolerance: 1e-10,
+});
 
 assert(result.converged === true, "Method converges");
 assert(result.iterations > 0, "At least one iteration was performed");
-assert(result.iterations <= 100, "Converges within the default 100-iteration limit");
+assert(result.iterations <= 500, "Converges within configured iteration limit");
 
 const tolerance = 1e-6;
-assert(Math.abs(result.solution[0] - 1) < tolerance, `x ≈ 1 (got ${result.solution[0]})`);
-assert(Math.abs(result.solution[1] - 1) < tolerance, `y ≈ 1 (got ${result.solution[1]})`);
+assert(Math.abs(result.solutionVector[0] - 1) < tolerance, `x ~= 1 (got ${result.solutionVector[0]})`);
+assert(Math.abs(result.solutionVector[1] - 1) < tolerance, `y ~= 1 (got ${result.solutionVector[1]})`);
+
+// ---------------------------------------------------------------------------
+// 2. NON-CONVERGENCE CASE — force early stop
+// ---------------------------------------------------------------------------
+basicLog("");
+basicLog("[2] Non-convergence case");
+
+const hardResult = jacobiSolver(A, b, x0, {
+  maxIterations: 1,
+  tolerance: 1e-20,
+});
+
+assert(hardResult.converged === false, "Method reports non-convergence with too few iterations");
+assert(hardResult.iterations === 1, "Method reports the configured iteration cap");
+assert(hardResult.solutionVector.length === 2, "Returns a solution vector of expected size");
 
 // ---------------------------------------------------------------------------
 // Summary
 // ---------------------------------------------------------------------------
-console.log(`\n${passed + failed} tests — ${passed} passed, ${failed} failed.\n`);
+if (failed > 0) {
+  errorLog(`${passed + failed} assertions — ${passed} passed, ${failed} failed.`);
+} else {
+  basicLog(`${passed + failed} assertions — ${passed} passed, ${failed} failed.`);
+}
+basicLog("================================");
 if (failed > 0) process.exit(1);