Efficient Algorithms for Solving Partial Differential Equations with Discontinuous Solutions

DOI10.1090/noti813837zbMath1253.65155OpenAlexW252476652MaRDI QIDQ2918502

Chi-Wang Shu

Publication date: 6 October 2012

Published in: Notices of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/noti813837

zbMATH Keywords

algorithmsfinite element methodnumerical examplesBurgers equationdiscontinuous solutionsspectral methodhyperbolic PDEslinear convection equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) First-order nonlinear hyperbolic equations (35L60) 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) Initial value problems for first-order hyperbolic equations (35L03)

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