Galerkin single-step methods for second-order hyperbolic equations

DOI10.1016/0898-1221(86)90184-7zbMath0613.65117OpenAlexW2035763968MaRDI QIDQ4720738

Ohannes A. Karakashian

Publication date: 1986

Published in: Computers & Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(86)90184-7

zbMATH Keywords

Nyström methodsGalerkin discretization in spaceOptimal order convergence estimatesSingle step methods

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Initial value problems for higher-order hyperbolic equations (35L30)

Related Items (1)

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Cites Work

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• Discrete time Galerkin methods for a parabolic boundary value problem
• A theory for Nyström methods
• Galerkin-Runge-Kutta methods and hyperbolic initial boundary value problems
• Unconditionally stable methods for second order differential equations
• Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
• The finite element method with Lagrangian multipliers
• Stability of Semidiscretizations of Hyperbolic Problems
• Error Estimates for Finite Element Methods for Second Order Hyperbolic Equations
• Semidiscrete and single step fully discrete approximations for second order hyperbolic equations
• $L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic Equations
• The Numerical Solution of Second-Order Differential Equations not Containing the First Derivative Explicitly

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