Solving the systems of equations arising in the discretization of some nonlinear PDE's by implicit Runge-Kutta methods
(EN)
Akrivis, G.
(EN)
Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Χημείας
(EL)
Akrivis, G.
(EN)
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.
(EN)
