Pseudospectral Time-Domain (PSTD) Methods for the Wave Equation: Realizing Boundary Conditions with Discrete Sine and Cosine Transforms

DOI10.1142/s2591728520500218arXiv2005.00322OpenAlexW3022070122MaRDI QIDQ6201473

Bradley E. Treeby, Jiri Jaros, Unnamed Author, Ben T. Cox

Publication date: 25 March 2024

Published in: Journal of Theoretical and Computational Acoustics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.00322

zbMATH Keywords

boundary conditionsdiscrete cosine transformpseudospectraldiscrete sine transform

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Hydro- and aero-acoustics (76Q05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Cites Work

• A spectral FC solver for the compressible Navier-Stokes equations in general domains. I: Explicit time-stepping
• Shift, scaling and derivative properties for the discrete cosine transform
• A Fourier method solution for the time dependent Schrödinger equation as a tool in molecular dynamics
• The discrete W transform
• A perfectly matched layer for the absorption of electromagnetic waves
• A nonreflecting plane boundary for wave propagation problems
• Spectral Methods for Time-Dependent Problems
• High-Order Finite Differences and the Pseudospectral Method on Staggered Grids
• The Discrete Cosine Transform
• Spectral Methods in MATLAB
• Nonstandard Fourier Pseudospectral Time Domain (PSTD) Schemes for Partial Differential Equations
• An Exponential Wave Integrator Sine Pseudospectral Method for the Klein--Gordon--Zakharov System
• Spectral smoothed boundary methods: The role of external boundary conditions
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