B-convergence of Lobatto IIIC formulas

DOI10.1007/BF01396751zbMath0626.65065OpenAlexW2011331110MaRDI QIDQ580909

Josef Schneid

Publication date: 1987

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133193

zbMATH Keywords

B-convergenceImplicit Runge-Kutta methodsLobatto IIIC schemes

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items

Properties of Runge-Kutta-summation-by-parts methods ⋮ On the maximum order of optimal B-convergence of Lobatto III C schemes ⋮ Characterization of B-convergent Runge-Kutta methods for strictly dissipative initial value problems ⋮ B-convergence: A survey ⋮ Theoretical and practical aspects of space-time DG-SEM implementations ⋮ B-convergence of general linear methods for stiff problems. ⋮ On the relation between algebraic stability and B-convergence for Runge- Kutta methods ⋮ Error analysis of variable stepsize Runge-Kutta methods for a class of multiply-stiff singular perturbation problems ⋮ Vienna contributions to the development of RK-methods ⋮ Stability and $B$-convergence properties of multistep Runge-Kutta methods

Cites Work

• Unnamed Item
• A new approach to optimal B-convergence
• A necessary condition for BSI-stability
• Stability Properties of Implicit Runge–Kutta Methods
• Order Results for Implicit Runge–Kutta Methods Applied to Stiff Systems
• The Concept of B-Convergence
• Stability Criteria for Implicit Runge–Kutta Methods

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