A new Lax-Wendroff discontinuous Galerkin method with superconvergence

DOI10.1007/s10915-014-9968-0zbMath1333.65110OpenAlexW2074037040MaRDI QIDQ898429

Jianxian Qiu, Jing-Mei Qiu, Wei Guo

Publication date: 9 December 2015

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-014-9968-0

zbMATH Keywords

comparison of methodsFourier analysissuperconvergencesemidiscretizationhyperbolic conservation lawsnumerical experimentlinear advection equationlocal discontinuous Galerkin methodLax-Wendroff time discretization1D Euler systemCauchy-Kobalewski-type time discretization

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) First-order hyperbolic equations (35L02)

Related Items (12)

Superconvergence analysis of Yee scheme for metamaterial Maxwell's equations on non-uniform rectangular meshes ⋮ Lax-Wendroff flux reconstruction method for hyperbolic conservation laws ⋮ Approximate Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws ⋮ Arbitrary high-order explicit hybridizable discontinuous Galerkin methods for the acoustic wave equation ⋮ Implicit multiderivative collocation solvers for linear partial differential equations with discontinuous Galerkin spatial discretizations ⋮ Positivity-preserving discontinuous Galerkin methods with Lax-Wendroff time discretizations ⋮ Optimal energy-conserving discontinuous Galerkin methods for linear symmetric hyperbolic systems ⋮ Three Discontinuous Galerkin Methods for One- and Two-Dimensional Nonlinear Dirac Equations with a Scalar Self-Interaction ⋮ Implicit multistage two-derivative discontinuous Galerkin schemes for viscous conservation laws ⋮ The flux reconstruction method with Lax-Wendroff type temporal discretization for hyperbolic conservation laws ⋮ Third order maximum-principle-satisfying and positivity-preserving Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws ⋮ Jacobian-free explicit multiderivative Runge-Kutta methods for hyperbolic conservation laws

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