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Implicit Runge-Kutta formulae with built-in estimates of the accumulated truncation error - MaRDI portal

Implicit Runge-Kutta formulae with built-in estimates of the accumulated truncation error (Q1092624)

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scientific article; zbMATH DE number 4020371
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Implicit Runge-Kutta formulae with built-in estimates of the accumulated truncation error
scientific article; zbMATH DE number 4020371

    Statements

    Implicit Runge-Kutta formulae with built-in estimates of the accumulated truncation error (English)
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    1987
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    Explicit Runge-Kutta formulae with built-in estimates of the accumulated truncation error are well known. A method is presented for developing \(A\)-stable and strongly \(A\)-stable Runge-Kutta algorithms with built-in estimates of the accumulated truncation error.
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    implicit Runge-Kutta methods
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    error estimates
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    true error
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    \(A\)-stability
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    accumulated truncation error
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    \(A\)-stable methods
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