Nonstandard Fourier Pseudospectral Time Domain (PSTD) Schemes for Partial Differential Equations

DOI10.4208/cicp.OA-2017-0192zbMath1475.65149arXiv1709.02962WikidataQ128546818 ScholiaQ128546818MaRDI QIDQ5160471

Elliott S. Wise, Ben T. Cox, Bradley E. Treeby

Publication date: 29 October 2021

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

Full work available at URL: https://arxiv.org/abs/1709.02962

zbMATH Keywords

diffusionwave equationnonstandard finite differenceFourier collocation spectral methodpseudospectral time domainPSTD

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fundamental solutions, Green's function methods, etc. for initial value and initial-boundary value problems involving PDEs (65M80)

Related Items (2)

Pseudospectral Time-Domain (PSTD) Methods for the Wave Equation: Realizing Boundary Conditions with Discrete Sine and Cosine Transforms ⋮ A Novel Strong-Coupling Pseudo-Spectral Method for Numerical Studies of Two-Layer Turbulent Channel Flows

Cites Work

• A domain decomposition method for pseudo-spectral electromagnetic simulations of plasmas
• Spectral Methods for Time-Dependent Problems
• Calculation of denominator functions for nonstandard finite difference schemes for differential equations satisfying a positivity condition
• The k-space formulation of the scattering problem in the time domain: An improved single propagator formulation
• A numerical and theoretical study of certain nonlinear wave phenomena
• On the use of nonstandard finite difference methods†
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