Spatially dispersionless, unconditionally stable FC-AD solvers for variable-coefficient PDEs

DOI10.1007/s10915-013-9734-8zbMath1300.65071arXiv1209.0751OpenAlexW2088818994MaRDI QIDQ461222

J. Herrera, D. Rodríguez-Gómez

Publication date: 10 October 2014

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.0751

zbMATH Keywords

algorithmstabilitydiffusionwave propagationnumerical examplespreconditioningfast Fourier transformhigh-order methodscollocationalternating direction implicit schemesnumerical dispersionFourier continuationGibbs phenomenvariable coefficient problems

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Second-order hyperbolic equations (35L10) Second-order parabolic equations (35K10) Preconditioners for iterative methods (65F08)

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Uses Software

• FFTW

Cites Work

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• The Numerical Solution of Parabolic and Elliptic Differential Equations
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• Spectral Methods for Time-Dependent Problems
• Implementation of the GMRES Method Using Householder Transformations
• Finite Difference Preconditioning for Solving Orthogonal Collocation Equations for Boundary Value Problems

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