Automatic selection of the initial step size for an ODE solver (Q1091773)

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scientific article; zbMATH DE number 4011821
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Automatic selection of the initial step size for an ODE solver
scientific article; zbMATH DE number 4011821

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    Automatic selection of the initial step size for an ODE solver (English)
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    1987
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    The paper provides a detailed and complete discussion on the design of the starting phase in codes for initial-value problems. The objective is to get, efficiently and reliably, a step size which is on scale, using a robust algorithm. The proposed solution has three distinct stages. It is implemented in the context of Runge-Kutta codes, and thoroughly tested in all its aspects on stiff and non-stiff problems.
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    step size selection
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    stiff problems
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    starting phase
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    robust algorithm
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    Runge-Kutta codes
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    non-stiff problems
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