Sum-accelerated pseudospectral methods: Finite differences and sech-weighted differences

DOI10.1016/S0045-7825(94)80003-0zbMath0845.65041OpenAlexW2063100618MaRDI QIDQ1892439

John P. Boyd

Publication date: 16 September 1996

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(94)80003-0

zbMATH Keywords

numerical examplesconvergence accelerationEuler methodpseudospectral methodsfinite difference algorithmssech-weighted differences

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

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Cites Work

• Sum-accelerated pseudospectral methods: The Euler-accelerated sinc algorithm
• Defeating the Runge phenomenon for equispaced polynomial interpolation via Tikhonov regularization
• A fast algorithm for Chebyshev, Fourier, and sinc interpolation onto an irregular grid
• High-Order Finite Differences and the Pseudospectral Method on Staggered Grids
• Numerical Comparisons of Nonlinear Convergence Accelerators
• On a Fourier Method for the Integration of Hyperbolic Equations
• Acceleration of Linear and Logarithmic Convergence
• Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions
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