On the construction and analysis of approximations of arbitrarily high- order for proportionally-damped second order systems

DOI10.1016/0898-1221(80)90033-4zbMath0456.73059OpenAlexW1966866524MaRDI QIDQ1151090

Steven M. Serbin

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0898-1221(80)90033-4

zbMATH Keywords

stabilityconvergence analysisarbitrarily high-order accuracyhomogeneous damped second-order systemstwo-step approximating schemes

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (1)

On a fourth-order unconditionally stable scheme for damped second-order systems

Cites Work

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• An approximation theorem for second-order evolution equations
• Rational approximations of trigonometric matrices with application to second-order systems of differential equations
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• An Improved Stiffly Stable Method for Direct Integration of Nonlinear Structural Dynamic Equations
• Practical aspects of numerical time integration
• Single Step Galerkin Approximations for Parabolic Problems
• High order accurate two-step approximations for hyperbolic equations
• One-step methods of hermite type for numerical integration of stiff systems
• The Numerical Integration of Ordinary Differential Equations

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