Switching between modified Newton and fix-point iteration for implicit ODE-solvers (Q1082046)

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scientific article; zbMATH DE number 3972103
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Switching between modified Newton and fix-point iteration for implicit ODE-solvers
scientific article; zbMATH DE number 3972103

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    Switching between modified Newton and fix-point iteration for implicit ODE-solvers (English)
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    1986
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    This paper discusses automatic switching between modified Newton iteration (non-zero Jacobian) and fixed point iteration (zero Jacobian). The switching strategy uses the ratio of the norms of the displacement and the residual. Several numerical examples show the strategy to be successful.
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    stiff systems
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    automatic switching
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    Newton iteration
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    fixed point iteration
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    switching strategy
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    numerical examples
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