Split linear multistep methods for the numerical integration of stiff differential systems (Q797972)

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scientific article; zbMATH DE number 3870513
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Split linear multistep methods for the numerical integration of stiff differential systems
scientific article; zbMATH DE number 3870513

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    Split linear multistep methods for the numerical integration of stiff differential systems (English)
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    1983
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    The author suggests a new approach to numerical integration of the following problem for a stiff differential system \(dy/dx=f(x,y)\), \(y(x_ 0)=y_ 0\), \(y\in R^ s\). Besides, a linear multistep method is split into a predictor-corrector scheme where predictor is implicit. The above splitting enlarges the stability of the method. Numerical results, illustrating the advantages of the suggested approach, are given.
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    stiff systems
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    linear multistep method
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    predictor-corrector scheme
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    splitting
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    enlarging stability
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