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August 2019
ESERK5: A fifth-order extrapolated stabilized explicit Runge–Kutta method
- J. Martín-Vaquero,
- A. Kleefeld
Journal of Computational and Applied Mathematics (JCAM), Volume 356, Issue CPages 22–36https://doi.org/10.1016/j.cam.2019.01.040
Abstract
A new algorithm is developed and analyzed for multi-dimensional non-linear parabolic partial differential equations (PDEs) which are semi-discretized in the spatial variables leading to a system of ordinary differential equations (ODEs)...
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research-article
December 2016
Extrapolated stabilized explicit RungeKutta methods
- J. Martn-Vaquero,
- B. Kleefeld
Journal of Computational Physics (JOCP), Volume 326, Issue CPages 141–155https://doi.org/10.1016/j.jcp.2016.08.042

Extrapolated Stabilized Explicit RungeKutta methods (ESERK) are proposed to solve multi-dimensional nonlinear partial differential equations (PDEs). In such methods it is necessary to evaluate the function nt times per step, but the stability region is ...
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