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- W1569467706 abstract "Partially implicit Runge-Kutta methods are presented in this work in order to numerically evolve in time a set of partial differential equations. These methods are designed to overcome numerical instabilities appearing during the evolution of a system of equations due to potential numerical unstable terms in the sources, such as stiff terms or the presence of factors as a result of a partic- ular chosen system of coordinates. In this article, partially implicit Runge-Kutta methods for several convergence orders have been derived and stability properties have been analyzed. These methods are shown to be appropriated to avoid the de- velopment of numerical instabilities in the evolution in time of wave-like equations in spherical-type coordinates, in contrast to the explicit Runge-Kutta methods." @default.
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- W1569467706 date "2012-11-26" @default.
- W1569467706 modified "2023-09-27" @default.
- W1569467706 title "Partially implicit Runge-Kutta methods for wave-like equations in spherical-type coordinates" @default.
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