TL: handling duplicates in points for the LagrangeApproximation class

.github/workflows/ci_pipeline.yml

@@ -11,7 +11,7 @@ jobs:
     strategy:
       fail-fast: false
       matrix:
-        python: ['3.8', '3.9', '3.10', '3.11', '3.12']
+        python: ['3.9', '3.10', '3.11', '3.12', '3.13']
     defaults:
       run:
         shell: bash -l {0}
@@ -44,7 +44,7 @@ jobs:
 
   test-tutorials:
     runs-on: ubuntu-latest
-    
+
     steps:
     - uses: actions/checkout@v3
     - name: Set up Python 3.11
@@ -59,4 +59,3 @@ jobs:
     - name: Test with pytest-notebook
       run: |
         pytest ./docs/notebooks --nb-test-files -v
-

README.md

@@ -62,7 +62,7 @@ c, b, A = genQCoeffs("ERK4")
 
 > 🔔 _If you are not familiar with SDC or related methods, and want to learn more about it, checkout the 
 > [latest documentation build](https://qmat.readthedocs.io/en/latest/) and 
-in particular the [**step by step tutorials**](https://qmat.readthedocs.io/en/latest/notebooks.html)_
+in particular the [**step by step notebook tutorials**](https://qmat.readthedocs.io/en/latest/notebooks.html)_
 
 For any contribution, please checkout out (very cool) [Contribution Guidelines](https://qmat.readthedocs.io/en/latest/contributing.html)
 and the current [Development Roadmap](https://qmat.readthedocs.io/en/latest/devdoc/roadmap.html).

docs/notebooks.md

@@ -1,4 +1,4 @@
-# Tutorials
+# Notebook Tutorials
 
 📜 *Extensive user guide, mostly based on step-by-step tutorials ...*
 
@@ -9,11 +9,11 @@ All tutorials are written in jupyter notebooks, that can be :
 
 > 🛠️ Basic usage tutorials are finalized and polished, the rest is still in construction ... 
 
-Notebooks are categorized into three main sections :
+Notebooks are categorized into those main sections :
 
 1. **Basic usage** : how to generate and use basic $Q$-coefficients and $Q_\Delta$ approximations, through a step-by-step tutorial going from generic Runge-Kutta methods to SDC for simple problems. 
-2. **Extended usage** : description of the additional features or `qmat`, like the $S$-matrix, 
-the `hCoeffs` and `dTau` coefficients, ... going deeper into SDC 
+2. **Extended usage** : additional features or `qmat` ($S$-matrix, `hCoeffs`, `dTau` coefficients, ...) to go deeper into SDC
+3. **Components usage** : how to use the main utility modules, like `qmat.lagrange`, etc ...
 
 
 ```{eval-rst}
@@ -38,3 +38,15 @@ Extended usage
     :glob:
 
     notebooks/1*
+
+Components usage
+================
+
+📜 *How to use the utility modules*
+
+.. toctree::
+    :maxdepth: 1
+    :glob:
+
+    notebooks/2*
+```

docs/notebooks/11_nodeFormulation.ipynb

@@ -4,7 +4,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "# Extended Step 1 : Zero-to-Nodes (Z2N) and Node-to-Node (N2N)\n",
+    "# Advanced Step 1 : Zero-to-Nodes (Z2N) and Node-to-Node (N2N)\n",
     "\n",
     "📜 _If you already know about SDC from the [original paper](https://link.springer.com/content/pdf/10.1023/A:1022338906936.pdf) of Dutt, Greengard & Rokhlin, you may notice that their description is very different from the one given [in Step 4](./04_sdc.ipynb) ..._\n",
     "\n",

docs/notebooks/11_prolongation.ipynb

@@ -4,7 +4,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "# Step 5 : generalizing the prolongation for RK-type and SDC-type time-steppers\n",
+    "# Advanced Step 2 : generalizing the prolongation for RK-type and SDC-type time-steppers\n",
     "\n",
     "🛠️ In construction ..."
    ]

docs/notebooks/12_initialization.ipynb

@@ -4,7 +4,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "# Step 6 : generalizing the initialization of SDC-type time-steppers\n",
+    "# Advanced Step 3 : generalizing the initialization of SDC-type time-steppers\n",
     "\n",
     "🛠️ In construction ..."
    ]

docs/notebooks/22_nodes.ipynb

@@ -0,0 +1,21 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "468aa069",
+   "metadata": {},
+   "source": [
+    "# Tutorial 2 : using the `qmat.nodes` module\n",
+    "\n",
+    "🛠️ In construction ..."
+   ]
+  }
+ ],
+ "metadata": {
+  "language_info": {
+   "name": "python"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}

pyproject.toml

@@ -10,7 +10,7 @@ dependencies = [
     "numpy",
     "scipy",
 ]
-requires-python = ">=3.8"
+requires-python = ">=3.9"
 maintainers = [
     {name = "Thibaut Lunet", email = "thibaut.lunet@tuhh.de"},
 ]
@@ -24,11 +24,11 @@ classifiers = [
     "License :: OSI Approved :: BSD License",
 
     "Programming Language :: Python :: 3",
-    "Programming Language :: Python :: 3.8",
     "Programming Language :: Python :: 3.9",
     "Programming Language :: Python :: 3.10",
     "Programming Language :: Python :: 3.11",
     "Programming Language :: Python :: 3.12",
+    "Programming Language :: Python :: 3.13",
 ]
 
 [project.optional-dependencies]
@@ -68,6 +68,9 @@ qmat-stability = "qmat.scripts.stability:main"
 nb_diff_ignore = [
     "/metadata/",
     "/cells/*/outputs/*/data/image/png"]
+pythonpath = [
+    "."
+]
 
 [tool.coverage.run]
 relative_files = true