Error bounds for the solution to the algebraic equations in Runge-Kutta methods
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Publication:762892
DOI10.1007/BF02136033zbMath0558.65046MaRDI QIDQ762892
Publication date: 1984
Published in: BIT (Search for Journal in Brave)
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 (13)
Suitability of Runge-Kutta methods ⋮ The Modified Newton Method in the Solution of Stiff Ordinary Differential Equations ⋮ The existence and uniqueness of solutions for the nonlinear algebraic equations in implicit r-k methods ⋮ The existence and uniqueness of solutions for the nonlinear algebraic equations in implicit R-K methods ⋮ On the relation between algebraic stability and B-convergence for Runge- Kutta methods ⋮ On the unique solvability of the Runge-Kutta equations ⋮ Runge-Kutta methods for jump-diffusion differential equations ⋮ An extension of B-convergence for Runge-Kutta methods ⋮ Analysis of fully discrete approximations for dissipative systems and application to time-dependent nonlocal diffusion problems ⋮ Runge-Kutta methods: Some historical notes ⋮ Partitioned Krylov subspace iteration in implicit Runge-Kutta methods ⋮ On the use of parallel processors for implicit Runge-Kutta methods ⋮ A necessary condition for BSI-stability
Cites Work
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- On the existence of solutions to the algebraic equations in implicit Runge-Kutta methods
- Reducibility and contractivity of Runge-Kutta methods revisited
- G-stability is equivalent toA-stability
- Stability Properties of Implicit Runge–Kutta Methods
- The Concept of B-Convergence
- On Logarithmic Norms
- Stability Criteria for Implicit Runge–Kutta Methods
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