Reflected and transposed Runge-Kutta methods

DOI10.1007/BF02218447zbMath0573.65051MaRDI QIDQ1062730

H. Türke, Rudolf Scherer

Publication date: 1983

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

classificationnonlinear stabilityimplicit Runge-Kutta methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items

Efficient classes of Runge-Kutta methods for two-point boundary value problems, Generalized symmetric Runge-Kutta methods, Relationships among some classes of implicit Runge-Kutta methods and their stability functions, Suitability of Runge-Kutta methods, On the solvability of the systems of equations arising in implicit Runge- Kutta methods, Global error estimation with one-step methods, On the unique solvability of the Runge-Kutta equations, Symplectic Runge--Kutta Schemes for Adjoint Equations, Automatic Differentiation, Optimal Control, and More, On symmetrizers for Gauss method, On symmetric Runge-Kutta methods of high order, A note on error expressions for reflected and averaged implicit Runge- Kutta methods

Cites Work

• Perturbed collocation and Runge-Kutta methods
• Algebraically Stable and Implementable Runge-Kutta Methods of High Order
• Efficiently Implementable Algebraically Stable Runge–Kutta Methods
• A note on Radau and Lobatto formulae for O.D.E.: s
• Stability Criteria for Implicit Runge–Kutta Methods
• On theA-stability of implicit Runge-Kutta processes
• A necessary condition forB-stability
• Implicit Runge-Kutta Processes
• Integration Processes Based on Radau Quadrature Formulas