High Order Difference Methods for Time Dependent PDE

DOI10.1007/978-3-540-74993-6zbMath1146.65064OpenAlexW173831847MaRDI QIDQ5431637

Publication date: 20 December 2007

Published in: Springer Series in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-74993-6

zbMATH Keywords

stability wave propagation textbook well-posedness accuracy parabolic equation Schrödinger equation Navier-Stokes equation shock problems high order finite difference scheme

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Navier-Stokes equations (35Q30) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) NLS equations (nonlinear Schrödinger equations) (35Q55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Laplace transform (44A10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for second-order parabolic equations (35K15)

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