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Nov 4, 2017 · In this article, Runge–Kutta methods for linear differential equations have been investigated. Typically, strongly stable semidiscretisations of ...
May 21, 2019 · Explicit Runge–Kutta methods are classical and widespread techniques in the numerical solution of ordinary differential equations (ODEs).
L_2 Stability of Explicit Runge–Kutta Schemes | Request PDF
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Explicit Runge–Kutta methods are standard tools in the numerical solution of ordinary differential equations (ODEs). Applying the method of lines to partial ...
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Abstract. In this paper we propose a simple and unified framework to investigate the L2-norm stability of the. 4 explicit Runge-Kutta discontinuous Galerkin ...
In numerical analysis, the Runge–Kutta methods are a family of implicit and explicit iterative methods, which include the Euler method, used in temporal ...
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In this chapter we study stability of these points and the related stability of fixed points of Runge-Kutta methods. 10.1 Stability of Equilibrium Points. We ...
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Oct 8, 2019 · Why is (asymptotic) stability inherited by A-stable Runge-Kutta-methods? 3 · Runge Kutta stability region for forward Euler and explicit ...
In this review we address the question of strong stability of Runge–Kutta methods for semidiscrete approximations, ut = LN u. We begin with the preliminary ...
Additionally, it is shown that there are first-order-accurate explicit SSP Runge–Kutta methods that are strongly stable (monotone) for semibounded (dissipative) ...
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In this paper we propose a simple and unified framework to investigate the L$^2$-norm stability of the explicit Runge--Kutta discontinuous Galerkin (RKDG) ...