Legendre-tau-padé approximations to the one-dimensional wave equation with boundary oscillators

DOI10.1080/01630569808816814zbMath0894.35061OpenAlexW2002234300WikidataQ126241125 ScholiaQ126241125MaRDI QIDQ4386121

Georg Propst, Kazufumi Ito

Publication date: 14 September 1998

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569808816814

zbMATH Keywords

transfer functionsTrotter-Kato theory

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) One-parameter semigroups and linear evolution equations (47D06) Wave equation (35L05) Padé approximation (41A21) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (1)

Energy method for exponential stability of coupled one-dimensional hyperbolic PDE-ODE systems

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• A variational approach to approximation of delay systems
• Legendre-Tau Approximation for Functional Differential Equations Part II: The Linear Quadratic Optimal Control Problem
• A comparison of time domain boundary conditions for acoustic waves in wave guides
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