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Optimal orders of convergence for Runge-Kutta methods and linear, initial boundary value problems - MaRDI portal

Optimal orders of convergence for Runge-Kutta methods and linear, initial boundary value problems (Q1861971)

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scientific article; zbMATH DE number 1879020
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Optimal orders of convergence for Runge-Kutta methods and linear, initial boundary value problems
scientific article; zbMATH DE number 1879020

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    Optimal orders of convergence for Runge-Kutta methods and linear, initial boundary value problems (English)
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    10 March 2003
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    The authors use a Runge-Kutta method to discretize an initial-boundary value problem in a Banach space, and provide optimal error estimates. They give examples of its application and present numerical experiments.
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    Runge-Kutta methods
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    optimal order
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    fractional orders
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    partial differential equations
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    initial boundary value problems
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    semigroups
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    Banach spaces
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    numerical experiments
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