Methods for parallel integration of stiff systems of ODEs (Q1195920)

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scientific article; zbMATH DE number 86143
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Methods for parallel integration of stiff systems of ODEs
scientific article; zbMATH DE number 86143

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    Methods for parallel integration of stiff systems of ODEs (English)
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    26 January 1993
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    Parallelization of implicit Euler-type integration methods for stiff ordinary differential equations (ODEs) is obtained by decoupling the system into \(p\) subsystems for \(p\) processors. ``Internal'' solution components in each subsystem are treated implicitly, ``external'' solution components are extrapolated. The paper deals with the theory of this type of methods.
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    parallel computation
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    backward Euler methods
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    stiff equations
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    stiff systems
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    decoupled backward differentiation formulas
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    asymptotic global error expansion
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    extrapolation
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    absolute stability
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    implicit Euler-type integration methods
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