Unique solvability of nonlinear systems arising in the multiderivative block methods

DOI10.1007/BF03167409zbMath0992.65082MaRDI QIDQ5950035

Jiaoxun Kuang, Taketomo Mitsui, Lin Qiu

Publication date: 6 December 2001

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

dissipative systemsunique solvabilitymultiderivative block methods

Mathematics Subject Classification ID

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

Cites Work

• On the D-suitability of implicit Runge-Kutta methods
• The numerical stabilities of multiderivative block method
• 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
• On the Algebraic Equations in Implicit Runge–Kutta Methods
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