On implicit Runge-Kutta methods with higher derivatives

DOI10.1007/BF01954901zbMath0667.65061MaRDI QIDQ1117671

Eckart W. Gekeler

Publication date: 1988

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

implicit Runge-Kutta methodsstability regionsA-zero-stabilityGauss-Turan methods of Butcher typeLobatto-Turan methods of Butcher type

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 (2)

Implicit multiderivative collocation solvers for linear partial differential equations with discontinuous Galerkin spatial discretizations ⋮ Stability of implicit multiderivative deferred correction methods

Cites Work

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• On the order conditions of Runge-Kutta methods with higher derivatives
• On Turan type implicit Runge-Kutta methods
• On theA-stability of implicit Runge-Kutta processes
• Some relationships between implicit Runge-Kutta, collocation and Lanczosτ methods, and their stability properties
• Implicit Runge-Kutta Processes

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