On the equivalence of BS-stability and B-consistency

DOI10.1007/BF02219235zbMath0681.65063MaRDI QIDQ1823625

Josef Schneid, Willem H. Hundsdorfer

Publication date: 1989

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

implicit Runge-Kutta methodsstiff initial value problemsB-convergenceB-consistencyBS-stability

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)

The Modified Newton Method in the Solution of Stiff Ordinary Differential Equations ⋮ A necessary condition for B-convergence of Runge-Kutta methods

Cites Work

• Erratum: On the relation between algebraic stability and B-convergence for Runge-Kutta methods
• A necessary condition for BSI-stability
• Characterization of B-convergent Runge-Kutta methods for strictly dissipative initial value problems
• Sur la B-stabilité des méthodes de Runge-Kutta
• 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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