Frequency domain analysis of time integration algorithms

DOI10.1016/S0045-7825(01)00197-9zbMath0987.65095MaRDI QIDQ5946842

Ata Muğan

Publication date: 9 June 2002

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

zbMATH Keywords

numerical examplesfinite element methodsparabolic problemsfrequency domain analysistime integration algorithm

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for second-order parabolic equations (35K15)

Cites Work

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• A family of single-step Houbolt time integration algorithms for structural dynamics
• Frequency‐domain analysis of time‐integration methods for semidiscrete finite element equations—part I: Parabolic problems
• Frequency‐domain analysis of time‐integration methods for semidiscrete finite element equations—part II: Hyperbolic and parabolic–hyperbolic problems
• A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
• Design of ripple-free multivariable robust servomechanisms
• A simplified approach to Bode's theorem for continuous-time and discrete-time systems

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