Stage‐parallel preconditioners for implicit Runge–Kutta methods of arbitrarily high order, linear problems
Owe Axelsson,
Ivo Dravins,
Maya Neytcheva
Abstract:Fully implicit Runge–Kutta methods offer the possibility to use high order accurate time discretization to match space discretization accuracy, an issue of significant importance for many large scale problems of current interest, where we may have fine space resolution with many millions of spatial degrees of freedom and long time intervals. In this work, we consider strongly A‐stable implicit Runge–Kutta methods of arbitrary order of accuracy, based on Radau quadratures. For the arising large algebraic system… Show more
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