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- W3046114297 abstract "Abstract We introduce a new class of Runge–Kutta type methods suitable for time stepping to propagate hyperbolic solutions within tent-shaped spacetime regions. Unlike standard Runge–Kutta methods, the new methods yield expected convergence properties when standard high order spatial (discontinuous Galerkin) discretizations are used. After presenting a derivation of nonstandard order conditions for these methods, we show numerical examples of nonlinear hyperbolic systems to demonstrate the optimal convergence rates. We also report on the discrete stability properties of these methods applied to linear hyperbolic equations." @default.
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- W3046114297 date "2020-07-28" @default.
- W3046114297 modified "2023-09-23" @default.
- W3046114297 title "Structure aware Runge–Kutta time stepping for spacetime tents" @default.
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- W3046114297 doi "https://doi.org/10.1007/s42985-020-00020-4" @default.
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