Numerical solution by LMMs of stiff delay differential systems modelling an immune response (Q1923310)

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scientific article; zbMATH DE number 932035
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Numerical solution by LMMs of stiff delay differential systems modelling an immune response
scientific article; zbMATH DE number 932035

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    Numerical solution by LMMs of stiff delay differential systems modelling an immune response (English)
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    24 November 1996
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    The initial value problem for a delay differential equation \(y'=f(t,y(t),y(t-\tau))\) is studied using linear multistep methods (LMMs) where \(f\) is smooth enough and fulfills a Lipschitz condition. For approximation of the delayed variable Nordsieck's interpolation technique, providing an interpolation procedure consistent with the underlying multistep formula, is used. Applications to immunology are given.
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    stiff systems
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    delay differential equation
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    linear multistep methods
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    Nordsieck's interpolation
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    immunology
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