Solving the systems of equations arising in the discretization of some nonlinear PDE's by implicit Runge-Kutta methods
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Akrivis, G.
Dougalis, V. A.
Karakashian, O.
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peer reviewed
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Rairo-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique Et Analyse Numerique
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We construct and analyze iterative methods for the efficient solution of the nonlinear equations that result from the application of Implicit Runge-Kutta methods to the temporal integration of nonlinear evolution equations. Some of the schemes we consider have as starting point Newton's method and can be applied to a large class of evolution equations.
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korteweg-devries equation, discrete galerkin methods, de vries equation, high-order, schrodinger-equation, algebraic equations, approximations
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en
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Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μηχανικών Ηλεκτρονικών Υπολογιστών και Πληροφορικής