On the D-suitability of implicit Runge-Kutta methods
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Publication:1123560
DOI10.1007/BF01952686zbMath0677.65082OpenAlexW2001875965MaRDI QIDQ1123560
Jia-Xiang Xiang, Jiaoxun Kuang
Publication date: 1989
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01952686
Numerical computation of solutions to systems of equations (65H10) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)
Related Items
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 unique solvability of the Runge-Kutta equations ⋮ Unique solvability of nonlinear systems arising in the multiderivative block methods
Cites Work
- On the existence of solutions to the algebraic equations in implicit Runge-Kutta methods
- On conditions for the existence and uniqueness of solutions to the algebraic equations in Runge-Kutta methods
- Stability Properties of Implicit Runge–Kutta Methods
- On the Algebraic Equations in Implicit Runge–Kutta Methods
- Integration Processes Based on Radau Quadrature Formulas
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