Numerical solution with a priori error bounds of coupled time dependent hyperbolic systems

DOI10.1016/S0898-1221(04)90020-XzbMath1049.65093MaRDI QIDQ1433104

A. E. Posso, Enrique Ponsoda, Lucas Jodar, Silvia Jerez

Publication date: 15 June 2004

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

zbMATH Keywords

Fourier transformerror boundsinitial value problem

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Initial value problems for first-order hyperbolic systems (35L45)

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An efficient numerical approach for solving nonlinear coupled hyperbolic partial differential equations with nonlocal conditions

Cites Work

• Explicit solutions for second order operator differential equations with two boundary value conditions
• Exact and approximate solutions with a priori error bounds for systems of time-dependent wave equations
• A matrix d'Alembert formula for coupled wave initial value problems
• Accurate continuous numerical solutions of time dependent mixed partial differential problems
• Stability in the wave equation coupled with heat flow
• Applications of analysis on nilpotent groups to partial differential equations
• Mixed problems for separated variable coefficient wave equations: Analytic-numerical solutions with a priori error bounds
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