Linear Multistep Methods and Galerkin Procedures for Initial Boundary Value Problems

DOI10.1137/0713046zbMath0335.65042OpenAlexW2050648083MaRDI QIDQ4102689

Eckart W. Gekeler

Publication date: 1976

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0713046

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

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Stability of Galerkin multistep procedures in time-homogeneous hyperbolic problems ⋮ Optimal error estimates for the fully discrete interior penalty DG method for the wave equation ⋮ Supercloseness analysis of a stabilizer-free weak Galerkin finite element method for viscoelastic wave equations with variable coefficients ⋮ On the efficiency of some fully discrete Galerkin methods for second- order hyperbolic equations ⋮ Stability analysis of linear multistep methods for classical elastodynamics ⋮ Équations d'évolution linéaires du second ordre et méthodes multipas ⋮ Galerkin-Runge-Kutta methods and hyperbolic initial boundary value problems ⋮ A-priori error estimates of Galerkin backward differentiation methods in time-inhomogeneous parabolic problems ⋮ Multistep-Galerkin Methods for Hyperbolic Equations ⋮ On multistep-Galerkin discretizations of semilinear hyperbolic and parabolic equations ⋮ High order accurate two-step approximations for hyperbolic equations ⋮ A systematic study on weak Galerkin finite-element method for second-order wave equation

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