Implementation of high-order implicit Runge-Kutta methods
From MaRDI portal
Publication:5948767
DOI10.1016/S0898-1221(00)00335-7zbMath0985.65086OpenAlexW2089377359WikidataQ127991374 ScholiaQ127991374MaRDI QIDQ5948767
S. Pérez-Rodríguez, S. González-Pinto, Juan I. Montijano
Publication date: 12 November 2001
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0898-1221(00)00335-7
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
Efficient delay and parameter estimation for nonlinear systems based on lifted IRK integrators with inexact Jacobians ⋮ Inexact Newton-Type Optimization with Iterated Sensitivities ⋮ An improved approximate Newton method for implicit Runge-Kutta formulas ⋮ Efficient implementation of Radau collocation methods ⋮ Speeding up Newton-type iterations for stiff problems ⋮ A 17th-order radau IIA method for package \texttt{RADAU}. Applications in mechanical systems ⋮ Variable-order starting algorithms for implicit Runge-Kutta methods on stiff problems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A scheme for the implementation of implicit Runge-Kutta methods
- On the convergence of Runge-Kutta methods for stiff nonlinear differential equations
- On the numerical solution of stiff IVPs by Lobatto IIIA Runge-Kutta methods
- Iterative schemes for three-stage implicit Runge-Kutta methods
- An Iteration Scheme for Implicit Runge—Kutta Methods
- On the implementation of implicit Runge-Kutta methods
- An Efficient Solution Process for Implicit Runge–Kutta Methods
- Two FORTRAN packages for assessing initial value methods
- A Generalization of a Theorem of Bôcher
