On the unique solvability of the Runge-Kutta equations

DOI10.1007/BF01385774zbMath0703.65038OpenAlexW2095219992MaRDI QIDQ916312

J. F. B. M. Kraaijevanger, Josef Schneid

Publication date: 1991

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

Full work available at URL: https://eudml.org/doc/133543

zbMATH Keywords

Runge-Kutta methodunique solvabilityBSI-stabilityRunge-Kutta matrixstiff nonlinear system

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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items

Properties of Runge-Kutta-summation-by-parts methods ⋮ 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 ⋮ Symplectic exponential Runge-Kutta methods for solving nonlinear Hamiltonian systems ⋮ On the existence of solution of stage equations in implicit Runge-Kutta methods ⋮ An extension of B-convergence for Runge-Kutta methods ⋮ Strong contractivity properties of numerical methods for ordinary and delay differential equations ⋮ Vienna contributions to the development of RK-methods ⋮ On the use of parallel processors for implicit Runge-Kutta methods

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