Unconditionally stable higher-order accurate collocation time-step integration algorithms for first-order equations

DOI10.1016/S0045-7825(00)00193-6zbMath1005.74066MaRDI QIDQ1841038

T. C. Fung

Publication date: 19 February 2003

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

collocation methodspectrumamplification factorgeneralized Padé approximationslinear first-order differential equationscollocation parametersmixed two-field formulationunconditionally stable higher-order accurate time-step integration algorithms

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (3)

A time integration algorithm for linear transient analysis based on the reproducing kernel method ⋮ A novel primal-mixed finite element approach for heat transfer in solids ⋮ The Nørsett time integration methodology for finite element transient analysis

Cites Work

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• Higher-order accurate least-squares methods for first-order initial value problems
• A TIME-STEPPING PROCEDURE FOR STRUCTURAL DYNAMICS USING GAUSS POINT COLLOCATION
• A special stability problem for linear multistep methods

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