Implicit Runge–Kutta methods based on Lobatto quadrature formula

DOI10.1080/0020716042000272566zbMath1067.65069OpenAlexW2083621394MaRDI QIDQ4663313

Geng Sun, Hongyu Liu

Publication date: 30 March 2005

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0020716042000272566

zbMATH Keywords

Lobatto quadratureRunge-Kutta method

Mathematics Subject Classification ID

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)

Related Items (4)

Delay-dependent stability of symmetric Runge-Kutta methods for second order delay differential equations with three parameters ⋮ Implicit Runge–Kutta methods based on Radau quadrature formula ⋮ Stability of Symmetric Runge--Kutta Methods for Neutral Delay Integro-Differential Equations ⋮ Micropumps for drug delivery systems: a new semi-linear elliptic boundary-value problem

Cites Work

• On symmetric Runge-Kutta methods of high order
• Perturbed collocation and Runge-Kutta methods
• Algebraically Stable and Implementable Runge-Kutta Methods of High Order
• Structure Preservation for Constrained Dynamics with Super Partitioned Additive Runge--Kutta Methods
• Symplectic Partitioned Runge–Kutta Methods for Constrained Hamiltonian Systems

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