We describe the construction of implicit two-step Runge-Kutta methods with stability properties determined by quadratic stability functions.We will aim for methods which are A-stable and L-stable and such that the coefficients matrix has a one point spectrum. Examples of methods of order up to eight are provided. © Springer Science+Business Media, LLC 2010.

Two-step runge-kutta methods with quadratic stability functions

D'Ambrosio, R.;
2010-01-01

Abstract

We describe the construction of implicit two-step Runge-Kutta methods with stability properties determined by quadratic stability functions.We will aim for methods which are A-stable and L-stable and such that the coefficients matrix has a one point spectrum. Examples of methods of order up to eight are provided. © Springer Science+Business Media, LLC 2010.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/120021
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