A posteriori error estimation via nonlinear error transport with application to shallow water (Q2869149)

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scientific article; zbMATH DE number 6242446
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A posteriori error estimation via nonlinear error transport with application to shallow water
scientific article; zbMATH DE number 6242446

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    A posteriori error estimation via nonlinear error transport with application to shallow water (English)
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    3 January 2014
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    a posteriori error estimation
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    hyperbolic equation
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    finite volume method
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    finite difference method
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    weak solution
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    Burgers' equation
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    shallow water equation
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    Runge-Kutta time integrator
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    The authors discuss error estimations for numerical approximations to the inviscid 1D Burgers' equation and to the 2D shallow water equations. A method of finite differences in space and the standard four-stage Runge-Kutta (RK)-4 time integrator are applied.NEWLINENEWLINEFor the entire collection see [Zbl 1264.65002].
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