The EPS method: A new method for constructing pseudospectral derivative operators

DOI10.1016/j.jcp.2011.03.058zbMath1220.65029OpenAlexW2083712737MaRDI QIDQ551007

Kristian Sandberg, Keith J. Wojciechowski

Publication date: 13 July 2011

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2011.03.058

zbMATH Keywords

algorithmsnumerical resultswave equationwave propagationnumerical differentiationpseudospectral methodsderivative matrixprolate spheroidal wave functionsGauss-Legendre quadraturesradial Laplaciansecond derivative matrices

Mathematics Subject Classification ID

Wave equation (35L05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical differentiation (65D25)

Related Items (4)

ODE solvers using band-limited approximations ⋮ The nonconvergence of \(h\)-refinement in prolate elements ⋮ On derivatives of smooth functions represented in multiwavelet bases ⋮ A new class of highly accurate differentiation schemes based on the prolate spheroidal wave functions

Uses Software

• Matlab

Cites Work

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