Convergence of the parallel chaotic waveform relaxation method for stiff systems

In this paper, we establish several algorithms for parallel chaotic waveform relaxation methods for solving linear ordinary differential systems based on some given models. Under some different assumptions on the coefficient matrix A and its multisplittings we obtain corresponding sufficient conditi...

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Veröffentlicht in:Journal of computational and applied mathematics Jg. 151; H. 1; S. 201 - 213
Hauptverfasser: Yuan, Dongjin, Burrage, Kevin
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Amsterdam Elsevier B.V 01.02.2003
Elsevier
Schlagworte:
Chaotic
Convergence
Exact sciences and technology
H-matrix
Mathematics
Multisplitting
Numerical analysis
Numerical analysis. Scientific computation
Numerical linear algebra
Ordinary differential equations
Parallel
Sciences and techniques of general use
Stiff systems
Waveform relaxation
65L05
65F10
Waveform relaxation
Stiff systems
Parallel
H-matrix
Multisplitting
Chaotic
Convergence
Parallel algorithm
Convergence of numerical methods
Differential system
Convergence speed
H matrix
Numerical analysis
Sufficient condition
Linear system
Numerical solution
Relaxation method
Chaotic systems
Stiff system
ISSN:0377-0427, 1879-1778
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Abstract In this paper, we establish several algorithms for parallel chaotic waveform relaxation methods for solving linear ordinary differential systems based on some given models. Under some different assumptions on the coefficient matrix A and its multisplittings we obtain corresponding sufficient conditions of convergence of the algorithms. Also a discussion on convergence speed comparison of synchronous and asynchronous algorithms is given.
AbstractList In this paper, we establish several algorithms for parallel chaotic waveform relaxation methods for solving linear ordinary differential systems based on some given models. Under some different assumptions on the coefficient matrix A and its multisplittings we obtain corresponding sufficient conditions of convergence of the algorithms. Also a discussion on convergence speed comparison of synchronous and asynchronous algorithms is given.
In this paper, we establish several algorithms for parallel chaotic waveform relaxation methods for solving linear ordinary differential systems based on some given models. Under some different assumptions on the coefficient matrix A and its multisplittings we obtain corresponding sufficient conditions of convergence of the algorithms. Also a discussion on convergence speed comparison of synchronous and asynchronous algorithms is given.
Author Burrage, Kevin
Yuan, Dongjin
Author_xml – sequence: 1
  givenname: Dongjin
  surname: Yuan
  fullname: Yuan, Dongjin
  email: dongjinyuan@yahoo.com
  organization: Department of Mathematics, Yangzhou University, JiangSu 225002, People's Republic of China
– sequence: 2
  givenname: Kevin
  surname: Burrage
  fullname: Burrage, Kevin
  email: kb@maths.uq.edu.au
  organization: Department of Mathematics, University of Queensland, St. Lucia, Qld. 4072, Australia
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10.1016/0168-9274(95)00116-6
10.1137/0606062
10.1137/0908046
10.1080/00207169408804304
10.1016/0024-3795(88)90227-3
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Issue 1
Keywords 65L05
65F10
Waveform relaxation
Stiff systems
Parallel
H-matrix
Multisplitting
Chaotic
Convergence
Parallel algorithm
Convergence of numerical methods
Differential system
Convergence speed
H matrix
Numerical analysis
Sufficient condition
Linear system
Numerical solution
Relaxation method
Chaotic systems
Stiff system
Language English
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SubjectTerms Chaotic
Convergence
Exact sciences and technology
H-matrix
Mathematics
Multisplitting
Numerical analysis
Numerical analysis. Scientific computation
Numerical linear algebra
Ordinary differential equations
Parallel
Sciences and techniques of general use
Stiff systems
Waveform relaxation
Title Convergence of the parallel chaotic waveform relaxation method for stiff systems
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