Explicit two-step Runge-Kutta methods

DOI10.21136/am.1995.134306zbMath0849.65055OpenAlexW145521805MaRDI QIDQ1915150

Rosemary A. Renaut, Marino Zennaro, Zdzisław Jackiewicz

Publication date: 11 November 1996

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/32931

zbMATH Keywords

numerical tests4-stage order 5 methodexplicit two-step Runge-Kutta methods

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

On explicit two-derivative two-step Runge-Kutta methods, Order conditions for general linear methods, Two-step Runge-Kutta methods for stochastic differential equations, Derivation and implementation of two-step Runge-Kutta pairs, Nordsieck representation of two-step Runge-Kutta methods for ordinary differential equations, Variable-Stepsize Explicit Two-Step Runge-Kutta Methods, Implementation of two-step Runge-Kutta methods for ordinary differential equations, Variable stepsize continuous two-step Runge-Kutta methods for ordinary differential equations, A class of two-derivative two-step Runge-Kutta methods for non-stiff ODEs, Nested second derivative two-step Runge-Kutta methods, Stability analysis of two-step Runge-Kutta methods for delay differential equations

Uses Software

• M3RK

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local error estimation for singly-implicit formulas by two-step Runge- Kutta methods
• Multistep-multistage-multiderivative methods for ordinary differential equations
• On the Butcher group and general multi-value methods
• Two-Step Runge-Kutta Methods and Hyperbolic Partial Differential Equations
• Two-Step Runge–Kutta Methods
• Order Properties of Implicit Multivalue Methods for Ordinary Differential Equations
• An Implementation of a Class of Stabilized Explicit Methods for the Time Integration of Parabolic Equations
• Variable-Stepsize Explicit Two-Step Runge-Kutta Methods
• A special family of Runge-Kutta methods for solving stiff differential equations
• Time-Split Finite-Volume Method for Three-Dimensional Blunt-Body Flow
• Pseudo-Runge-Kutta Methods Involving Two Points
• Comparing Numerical Methods for Ordinary Differential Equations
• Order Barriers for Continuous Explicit Runge-Kutta Methods