Discrete-time waveform relaxation Volterra-Runge-Kutta methods: Convergence analysis

DOI10.1016/S0377-0427(97)00168-4zbMath0890.65141OpenAlexW2027091074MaRDI QIDQ1379012

Antonia Vecchio, Elvira Russo, Maria Rosaria Crisci

Publication date: 6 July 1998

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(97)00168-4

zbMATH Keywords

convergenceconsistencynumerical experimentsparallel computingVolterra-Runge-Kutta methodsdiscrete time relaxation methodslarge system of second kind Volterra integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Systems of nonsingular linear integral equations (45F05) Volterra integral equations (45D05)

Related Items

Discrete-time waveform relaxation Volterra-Runge-Kutta methods: Convergence analysis, Time point relaxation methods for Volterra integro-differential equations, Convergence of discrete time waveform relaxation methods, A parallel algorithm for large systems of Volterra integral equations of Abel type, Numerical solution of Volterra integral and integro-differential equations with rapidly vanishing convolution kernels, High performance parallel numerical methods for Volterra equations with weakly singular kernels, Nonstationary waveform relaxation methods for Abel integral equations

Uses Software

• Algorithm 689

Cites Work

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• Waveform relaxation methods for functional differential systems of neutral type
• Stability of parallel Volterra-Runge-Kutta methods
• Remarks on Picard-Lindelöf iteration. II
• On the theory of synchronization of lateral optic-nerve responses in \textit{Limulus}. I: Uniform excitation of the homogeneous retina
• Run for your life. A note on the asymptotic speed of propagation of an epidemic
• Block methods for second kind Volterra equations
• Discrete-time waveform relaxation Volterra-Runge-Kutta methods: Convergence analysis
• Convergence results for continuous-time waveform methods for Volterra integral equations
• Highly stable parallel Volterra Runge-Kutta methods
• Convergence of Dynamic Iteration Methods for Initial Value Problems
• On the Numerical Solution of Nonlinear Volterra–Fredholm Integral Equations by Collocation Methods
• Algorithm 689: Discretized collocation and iterated collocation for nonlinear Volterra integral equations of the second kind