论文信息 - On the existence of solutions to the algebraic equations in implicit runge-kutta methods

On the existence of solutions to the algebraic equations in implicit runge-kutta methods

This paper deals with the systems of algebraic equations arising in the application ofB-stable Runge-Kutta methods. It is shown that under natural assumptions such systems do not always have a solution. In addition, general sufficient conditions are presented under which such systems do have unique solutions.

Michel Crouzeix | M. N. Spijker | W. Hundsdorfer | M. Crouzeix | W. H. Hundsdorfer

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