On multistep-Galerkin discretizations of semilinear hyperbolic and parabolic equations

DOI10.1016/0362-546X(80)90094-2zbMath0451.65076OpenAlexW1974629457MaRDI QIDQ3897968

Vassilios A. Dougalis, Ohannes A. Karakashian, Garth A. Baker

Publication date: 1980

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(80)90094-2

zbMATH Keywords

error estimatesfully discrete Galerkin approximationsmultistep discretizations of initial- and boundary-value problemssemilinear hyperbolic and parabolic equations

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Second-order nonlinear hyperbolic equations (35L70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items

Virtual element method for semilinear hyperbolic problems on polygonal meshes, Fully discrete methods for the nonlinear Schrödinger equation, Mimetic finite difference methods for Hamiltonian wave equations in 2D, Higher-order single-step fully discrete approximations for nonlinear second-order hyperbolic equations, Convergence of difference schemes for solving nonlinear parabolic equations, Error estimates for schemes of the projection-difference method for abstract quasilinear hyperbolic equations, On the high smoothness of the solution of an abstract hyperbolic-parabolic system like systems of thermoelasticity equations, Cosine methods for nonlinear second-order hyperbolic equations, Virtual element method for semilinear sine-Gordon equation over polygonal mesh using product approximation technique, Convergence of FEM with interpolated coefficients for semilinear hyperbolic equation, Solution and control of PDE via global optimization methods, Finite element method for solving nonlinear parabolic equations, Cosine Methods for Nonlinear Second-Order Hyperbolic Equations

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