On the Structure of Jacobians for Spectral Methods for Nonlinear Partial Differential Equations

DOI10.1137/0913030zbMath0746.65095OpenAlexW1975138811MaRDI QIDQ3991050

Robert D. Russell, Manfred R. Trummer, David M. Sloan

Publication date: 28 June 1992

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0913030

zbMATH Keywords

algorithmGalerkin methodKuramoto-Sivashinsky equationnonlinearspectral methodsinertia manifoldstructure of the Jacobian matrices

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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) Numerical solutions to equations with nonlinear operators (65J15) Applications to the sciences (65Z05) Implicit function theorems, Jacobians, transformations with several variables (26B10)

Related Items (2)

A finite difference scheme for computing inertial manifolds ⋮ The multi-parameter homotopy harmonic balance method for steady state problems

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