Search for highly stable two-step Runge–Kutta methods
- 1 October 2012
- journal article
- Published by Elsevier in Applied Numerical Mathematics
- Vol. 62 (10) , 1361-1379
- https://doi.org/10.1016/j.apnum.2012.06.012
Abstract
No abstract availableKeywords
This publication has 14 references indexed in Scilit:
- Algebraically stable diagonally implicit general linear methodsApplied Numerical Mathematics, 2010
- Algebraically stable general linear methods and the G-matrixBIT Numerical Mathematics, 2009
- Construction of two-step Runge–Kutta methods with large regions of absolute stabilityJournal of Computational and Applied Mathematics, 2003
- Derivation and implementation of Two-Step Runge-Kutta pairsJapan Journal of Industrial and Applied Mathematics, 2002
- Order Conditions for General Two-Step Runge--Kutta MethodsSIAM Journal on Numerical Analysis, 1997
- Order conditions for Two-Step Runge-Kutta methodsApplied Numerical Mathematics, 1997
- A General Class of Two-Step Runge–Kutta Methods for Ordinary Differential EquationsSIAM Journal on Numerical Analysis, 1995
- The equivalence of algebraic stability andAN-stabilityBIT Numerical Mathematics, 1987
- Non-linear stability of a general class of differential equation methodsBIT Numerical Mathematics, 1980
- Conditions for Positive and Nonnegative Definiteness in Terms of PseudoinversesSIAM Journal on Applied Mathematics, 1969