High-order symmetric multistep cosine methods

DOI10.1016/j.apnum.2012.11.005zbMath1267.65087OpenAlexW1979637151MaRDI QIDQ1939315

M. J. Moreta, Begoña Cano

Publication date: 4 March 2013

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2012.11.005

zbMATH Keywords

numerical examplesstiff equationssymmetric methodshigh accuracyexponential integratorspseudospectral discretizationsecond-order partial differential equationsmultistep cosine methodsperiodic boundary problems

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Boundary value problems for nonlinear higher-order PDEs (35G30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical methods for stiff equations (65L04)

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