Unfrenched derivation -> derivative

Author: brownbaerchen

qmat/__init__.py

@@ -8,7 +8,7 @@
 
 **Utility modules** ⚙️
 
-- :class:`lagrange` : Barycentric polynomial approximations (integral, interpolation, derivation)
+- :class:`lagrange` : Barycentric polynomial approximations (integral, interpolation, derivative)
 - :class:`nodes` : generation of multiple types of quadrature nodes
 - :class:`sdc` : utility function to run SDC on simple problems
 - :class:`mathutils` : utility functions for math operations

qmat/lagrange.py

@@ -2,7 +2,7 @@
 # -*- coding: utf-8 -*-
 """
 Base module for Barycentric Lagrange Approximation, based on `[Berrut & Trefethen, 2004] <https://doi.org/10.1137/S0036144502417715>`_.
-Allows to easily build integration / interpolation / derivation matrices, from any list of node points.
+Allows to easily build integration / interpolation / derivative matrices, from any list of node points.
 
 Examples
 --------
@@ -22,8 +22,8 @@
 >>> # Alternative interpolation using the object as a function
 >>> uFine = approx(fGrid)
 >>>
->>> # Derivation
->>> D = approx.getDerivationMatrix()
+>>> # Derivative
+>>> D = approx.getDerivativeMatrix()
 >>> du = D @ u
 """
 import numpy as np
@@ -437,9 +437,9 @@ def getIntegrationMatrix(self, intervals, numQuad='FEJER', duplicates=True):
 
         return Q
 
-    def getDerivationMatrix(self, order=1, duplicates=True):
+    def getDerivativeMatrix(self, order=1, duplicates=True):
         r"""
-        Generate derivation matrix of first or second order (or both) based on
+        Generate derivative matrix of first or second order (or both) based on
         the Lagrange interpolant.
         The first order differentiation matrix :math:`D^{(1)}` approximates
 
@@ -473,11 +473,11 @@ def getDerivationMatrix(self, order=1, duplicates=True):
         .. math::
             D^{(2)}_{jj} = -\sum_{i \neq j} D^{(2)}_{ij}
 
-        ⚠️ If you want a derivation matrix with many points (~1000 or more),
+        ⚠️ If you want a derivative matrix with many points (~1000 or more),
         favor the use of `weightComputation="STABLE"` when initializing
         the `LagrangeApproximation` object. If not, some (very small) weights
         could be approximated by zeros, which would make the computation
-        of the derivation matrices fail ...
+        of the derivative matrices fail ...
 
         Note
         ----
@@ -487,7 +487,7 @@ def getDerivationMatrix(self, order=1, duplicates=True):
         Parameters
         ----------
         order : int or str, optional
-            The order of the derivation matrix, use "ALL" to retrieve both.
+            The order of the derivative matrix, use "ALL" to retrieve both.
             The default is 1.
         duplicates : bool
             Wether or not take into account duplicates in the points.
@@ -497,8 +497,8 @@ def getDerivationMatrix(self, order=1, duplicates=True):
         Returns
         -------
         D : np.2darray or tuple of np.2darray
-            Derivation matrix. If order="ALL", return a tuple containing all
-            derivations matrix in increasing derivation order.
+            Derivative matrix. If order="ALL", return a tuple containing all
+            derivative matrices in increasing derivative order.
         """
         if order not in [1, 2, "ALL"]:
             raise NotImplementedError(f"order={order}")

tests/test_2_lagrange.py

@@ -97,14 +97,14 @@ def testIntegration(nNodes, weightComputation, numQuad):
 
 @pytest.mark.parametrize("weightComputation", ["AUTO", "FAST", "STABLE", "CHEBFUN"])
 @pytest.mark.parametrize("nNodes", nNodeTests)
-def testDerivation(nNodes, weightComputation):
+def testDerivative(nNodes, weightComputation):
     nodes = np.sort(np.random.rand(nNodes))
     approx = LagrangeApproximation(nodes, weightComputation=weightComputation)
 
-    D1, D2 = approx.getDerivationMatrix(order="ALL")
+    D1, D2 = approx.getDerivativeMatrix(order="ALL")
 
-    assert np.allclose(D1, approx.getDerivationMatrix())
-    assert np.allclose(D2, approx.getDerivationMatrix(order=2))
+    assert np.allclose(D1, approx.getDerivativeMatrix())
+    assert np.allclose(D2, approx.getDerivativeMatrix(order=2))
 
     polyCoeffs = np.random.rand(nNodes)
     polyNodes = np.polyval(polyCoeffs, nodes)
@@ -156,9 +156,9 @@ def testDuplicates(nPoints, nCopy, duplicates):
     assert np.allclose(Q[:, approx._nnzIdx], Q_ref), "[Q] nonzero values different from reference"
     assert np.allclose(Q_noDuplicates, Q_ref), "[Q] no duplicates values different from reference"
 
-    D1, D2 = approx.getDerivationMatrix(order="ALL")
-    D1_noDuplicates, D2_noDuplicates = approx.getDerivationMatrix(order="ALL", duplicates=False)
-    D1_ref, D2_ref = approxUnique.getDerivationMatrix(order="ALL")
+    D1, D2 = approx.getDerivativeMatrix(order="ALL")
+    D1_noDuplicates, D2_noDuplicates = approx.getDerivativeMatrix(order="ALL", duplicates=False)
+    D1_ref, D2_ref = approxUnique.getDerivativeMatrix(order="ALL")
 
     assert np.allclose(D1[:, approx._zerIdx], 0), "[D1] zero indices have non-zero values"
     assert np.allclose(D1[:, approx._nnzIdx], D1_ref), "[D1] nonzero values different from reference"