Multistep-Galerkin Methods for Hyperbolic Equations

DOI10.2307/2006297zbMath0417.65057OpenAlexW4236412286MaRDI QIDQ3208034

Vassilios A. Dougalis

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/2006297

zbMATH Keywords

ordinary differential equationserror boundsmultistep methodsGalerkin approximationsoptimal orderfirst-order linear hyperbolic equationsinitial-periodic boundary value problem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order hyperbolic equations (35L15) Initial value problems for linear higher-order PDEs (35G10) Boundary value problems for linear higher-order PDEs (35G15)

Related Items

On the efficiency of some fully discrete Galerkin methods for second- order hyperbolic equations, On \(L^ 2-\)estimates for discrete-time Galerkin approximation to second order hyperbolic equations, Stability analysis of linear multistep methods for classical elastodynamics, On superconvergence techniques, On multistep-Galerkin discretizations of semilinear hyperbolic and parabolic equations, High order accurate two-step approximations for hyperbolic equations

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