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.File in questo prodotto:
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