An extension of B-convergence for Runge-Kutta methods

Applied Numerical Mathematics

Volumn 9, Issue 2, 1992, Pages 91-109

  Auzinger, W ^a   Frank, R ^a   Kirlinger, G ^a  

^a VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 38249016005     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/0168-9274(92)90008-2     Document Type: Article

References (18)

1. Asymptotic error expansions for stiff equations: the implicit Euler scheme
2. Asymptotic error expansions for stiff equations: an analysis for the implicit midpoint and trapezoidal rules in the strongly stiff case
3. Asymptotic expansions of the global discretization error for stiff problems
4. A note on convergence concepts for stiff problems
5. Stability criteria for implicit Runge-Kutta methods
6. A stability property of implicit Runge-Kutta methods
7. Sur la B-stabilité des méthodes de Runge-Kutta
8. Error analysis for a class of methods for stiff nonlinear initial value problems
9. Error bounds for the solution to the algebraic equations in Runge-Kutta methods
10. Einseitige Lipschitzbedingungen für gewöhnliche Differential-gleichungen
11. The concept of B-convergence
12. Stability properties of implicit Runge-Kutta methods
13. Order results for implicit Runge-Kutta methods applied to stiff systems
14. Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations
15. On the unique solvability of the Runge-Kutta equations
16. On the convergence of multistep methods for nonlinear stiff differential equations
17. D-Stability