Parallel initial-value algorithms for singularly perturbed boundary-value problems

Parallel algorithms for computing asymptotic approximations to the solutions of many singularly perturbed boundary-value problems are considered. Numerical techniques, called parallel-initial-value methods, are proposed which permit several natural computation decompositions into independent tasks....

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Bibliographic Details
Published inJournal of optimization theory and applications Vol. 73; no. 3; pp. 501 - 517
Main Authors Gasparo, M. G., Macconi, M.
Format Journal Article
LanguageEnglish
Published New York, NY Springer 01.06.1992
Subjects
990200 - Mathematics & Computers
ALGORITHMS
Applied sciences
ARCHITECTURE
ARRAY PROCESSORS
BOUNDARY-VALUE PROBLEMS
Computer science; control theory; systems
COMPUTERS
Control theory. Systems
CRAY COMPUTERS
Exact sciences and technology
GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
ITERATIVE METHODS
MATHEMATICAL LOGIC
PARALLEL PROCESSING
PERTURBATION THEORY
PROGRAMMING
SINGULARITY
System theory
Parallel calculus
Boundary value problem
Algorithm
Singular perturbation
Boundary layer
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ISSN0022-3239
1573-2878
DOI10.1007/BF00940053

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Summary:Parallel algorithms for computing asymptotic approximations to the solutions of many singularly perturbed boundary-value problems are considered. Numerical techniques, called parallel-initial-value methods, are proposed which permit several natural computation decompositions into independent tasks. The number of disposable independent processors is taken into account to design suitable parallel schemes. The reliability and performance of the proposed schemes are demonstrated using a CRAY Y-MP 8/432 multiprocessor. (O.G.)
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0022-3239
1573-2878
DOI:10.1007/BF00940053