2017-07-14
On the Construction of Splitting Methods by Stabilizing Corrections with Runge-Kutta Pairs
Publication
Publication
In this technical note a general procedure is described to construct internally consistent splitting methods for the numerical solution of differential equations, starting from matching pairs of explicit and diagonally implicit Runge-Kutta methods. The procedure will be applied to suitable second-order pairs, and we will consider methods with or without a mass conserving finishing stage. For these splitting methods, the linear stability properties are studied and numerical test results are presented.
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| Organisation | Multiscale Dynamics |
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Hundsdorfer, W. (2017). On the Construction of Splitting Methods by Stabilizing Corrections with Runge-Kutta Pairs. |
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