Galerkin methods and \(L^ 2\)-error estimates for hyperbolic integro- differential equations

DOI10.1007/BF02575729zbMath0709.65121MaRDI QIDQ921890

John R. Cannon, Chongyuan Xie, Yan Ping Lin

Publication date: 1989

Published in: Calcolo (Search for Journal in Brave)

zbMATH Keywords

projection methodoptimal error estimatesGalerkin methodsCrank- Nicolson discrete time Galerkin procedurelinear second-order hyperbolic Volterra integro-differential equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05)

Related Items

Numerical solutions for a class of differential equations in linear viscoelasticity, A posteriori error estimates for a semidiscrete parabolic integrodifferential control on multimeshes, A priori error estimates for finite volume element approximations to second order linear hyperbolic integro-differential equations, Optimal error estimates of mixed FEMs for second order hyperbolic integro-differential equations with minimal smoothness on initial data, A priori \(hp\)-estimates for discontinuous Galerkin approximations to linear hyperbolic integro-differential equations, A fully discrete two-grid finite element method for nonlinear hyperbolic integro-differential equation, Numerical methods for hyperbolic and parabolic integro-differential equations, Symmetric finite volume element approximations of second order linear hyperbolic integro-differential equations, Analytical and numerical solutions of a class of nonlinear integro-differential equations with \(L^1\) kernels

Cites Work

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• A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations
• A finite difference method for analyzing the compression of poro- viscoelastic media
• A class of hyperbolic volterra integrodifferential equations
• A Priori $L^2 $ Error Estimates for Finite-Element Methods for Nonlinear Diffusion Equations with Memory