Convergence of discrete time waveform relaxation methods
Author:
Funder
the Natural Science Foundation of Fujian Province
the science project municipal university of Fujian Province
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics
Link
http://link.springer.com/article/10.1007/s11075-018-0493-3/fulltext.html
Reference18 articles.
1. Bellen, A., Zennaro, M.: The use of Runge-Kutta formulae in waveform relaxation methods. Appl. Numer. Math. 11, 95–114 (1993)
2. Bellen, A., Jackiewicz, Z., Zennaro, M.: Contractivity of waveform relaxation Runge-Kutta iterations and related limit methods for dissipative systems in the maximum norm. SIAM J. Numer. Anal. 31, 499–523 (1994)
3. Crisci, M.R., Ferraro, N., Russo, E.: Convergence results for continuous-time waveform methods for Volterra integral equations. J. Comput. Appl. Math. 71, 33–45 (1996)
4. Crisci, M.R., Russo, E., Vecchio, A.: Discrete-time waveform relaxation Volterra-Runge-Kutta methods: Convergence analysis. J. Comput. Appl. Math. 86, 359–374 (1997)
5. Fan, Z.C.: Using waveform relaxation methods to approximate neutral stochastic functional differential equation systems. Appl. Math. Comput. 263, 151–164 (2015)
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1. Zero-stability of waveform relaxation methods for ordinary differential equations;Electronic Research Archive;2022
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