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Article
Distributed-Multirate Methods for Large Weakly-Coupled Differential Systems
Applied Mathematics and Computation (1989)
  • Tjalling Ypma, Western Washington University
  • A.R.C. de Almeida
  • I. M. MacLeod
Abstract
Distributed - multirate methods combine the advantages of multirate methods with those of distributed computer systems to provide effective methods for solving very large modular weakly-coupled differential systems. The methods are based on linear multistep methods for ordinary differential equations, but different subsystems are integrated by different autonomous quasi-synchronous processors using possibly different step-lengths, stiffness options and error tolerances. We introduce the methods, provide convergence and stability analyses, and relate some of our practical experience with these methods.
Keywords
  • Distributed - multirate methods,
  • weakly-coupled differential systems
Disciplines
Publication Date
May, 1989
Publisher Statement
Copyright © 1989 Published by Elsevier Inc. doi:10.1016/0096-3003(89)90109-4
Citation Information
Tjalling Ypma, A.R.C. de Almeida and I. M. MacLeod. "Distributed-Multirate Methods for Large Weakly-Coupled Differential Systems" Applied Mathematics and Computation Vol. 31 Iss. Special Issue Numerical Ordinary Diferrential Equations (Proceedings of the 1986 ODE Conference) (1989)
Available at: http://works.bepress.com/tjalling_ypma/27/