Third order complex-time-step methods for transient analysis

DOI10.1016/S0045-7825(00)00270-XzbMath0976.65087MaRDI QIDQ5930705

T. C. Fung

Publication date: 13 January 2002

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

zbMATH Keywords

numerical examplestime integration\(A\)-stabilitycontrollable numerical dissipationhigh-order methodsthird-order \(A\)-stable methodstransient systems

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (3)

Experimental validation of high-order time integration for non-linear heat transfer problems ⋮ Directly self-starting higher-order implicit integration algorithms with flexible dissipation control for structural dynamics ⋮ Mixed finite element formulation for the solution of parabolic problems

Cites Work

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• UNCONDITIONALLY STABLE HIGHER-ORDER ACCURATE HERMITIAN TIME FINITE ELEMENTS
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