A simple MATLAB program to compute differentiation matrices for arbitrary meshes via Lagrangian interpolation

2019/10/27 by Miguel Pérez-Saborid, Pérez-Saborid, Miguel
Engineering · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1910.13256

openalex publication_date 2019/10/27 · openalex created_date 2019/11/08 · openalex updated_date 2026/07/28

Abstract

A MATLAB program for computing differentiation matrices for arbitrary one-dimensional meshes is presented in this manuscript. The differentiation matrices for a mesh of N arbitrarily spaced points are formed from those obtained using Lagrangian interpolation on stencils of a fixed but arbitrary number M<=N of contiguous mesh points. For the particular case M=N and meshes with Chebyshev or Legendre distributions of points, the program yields the well known spectral differentiation matrices. For M

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