Time-marching on the slow manifold: The relationship between the nonlinear Galerkin method and implicit timestepping algorithms

DOI10.1016/0893-9659(94)90039-6zbMath0792.65077OpenAlexW2129384024MaRDI QIDQ1324481

John P. Boyd

Publication date: 31 July 1994

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

Full work available at URL: http://hdl.handle.net/2027.42/31731

zbMATH Keywords

slow manifoldspectral discretizationimplicit timestepping schemeslow frequency flownonlinear Galerkin algorithms

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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Cites Work

• Nonlinear Galerkin Methods
• Some Numerical Aspects of Computing Inertial Manifolds
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