The stabilized explicit Runge–Kutta method is obtained through a three-term recurrence formula: g 0 = y 0 , g 1 = g 0 + α h f ( g 0 ) , g j = 2 g j − 1 − g j − 2 + 2 α h f ( g j − 1 ) j = 2 , … , m , g m + 1 = g m + α h f ( g m ) , (4)
Dec 1, 2016 · In this paper a new procedure to build stabilized explicit Runge–Kutta algorithms with high order has been proposed. It is based on Richardson ...
Extrapolated Stabilized Explicit Runge-Kutta methods (ESERK) are proposed to solve multi-dimensional nonlinear partial differential equations (PDEs).
Sep 20, 2018 · Traditionally classical explicit methods have not been used for stiff ordinary differential equations due to their stability limitations.
In this paper, we investigate the efficiency of extrapolation of explicit general linear methods with Inherent Runge-Kutta stability in solving the non-stiff ...
Apr 19, 2022 · It is based on fifth-order extrapolated stabilized explicit Runge–Kutta schemes (ESERK). They are explicit methods, and therefore it is not ...
Sep 9, 2020 · In this paper Extrapolated Stabilized Explicit Runge-Kutta methods (ESERK) are proposed to solve nonlinear partial differential equations ...
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Oct 22, 2024 · In this paper, we examine three techniques for constructing explicit stabilized Runge–Kutta methods. ... second and third orders are constructed, ...
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The paper is devoted to the parametric stability optimization of explicit Runge–Kutta methods with higher-order derivatives.
The objective of this paper is to develop a computationally efficient numerical method for solving the multigroup, multidimensional, static and transient ...