Stability of parallel Volterra-Runge-Kutta methods

DOI10.1016/0377-0427(93)90272-DzbMath0802.65133MaRDI QIDQ688033

P. J. van der Houwen, Antonia Vecchio, Elvira Russo, Maria Rosaria Crisci

Publication date: 5 December 1993

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

stabilityconvergenceVolterra-Runge-Kutta methodsparallel computersconvolution test equationsecond-kind Volterra integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Parallel numerical computation (65Y05) Volterra integral equations (45D05)

Related Items (4)

Preconditioning in implicit initial-value problem methods on parallel computers ⋮ Convergence results for continuous-time waveform methods for Volterra integral equations ⋮ Highly stable parallel Volterra Runge-Kutta methods ⋮ Discrete-time waveform relaxation Volterra-Runge-Kutta methods: Convergence analysis

Cites Work

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• Parallelism across time in ODEs
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• On the stability of the one-step exact collocation methods for the numerical solution of the second kind Volterra integral equation
• Parallel predictor-corrector methods
• Iterated Runge–Kutta Methods on Parallel Computers
• The Potential for Parallelism in Runge–Kutta Methods. Part 1: RK Formulas in Standard Form

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