A Runge-Kutta starter for a multistep method for differential-algebraic systems with discontinuous effects

DOI10.1016/0168-9274(95)00066-4zbMath0837.65075OpenAlexW1974243213MaRDI QIDQ1902084

Reinhold von Schwerin, Hans Georg Bock

Publication date: 7 January 1996

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(95)00066-4

zbMATH Keywords

numerical experimentsdifferential-algebraic systemsRunge-Kutta methodmultibody systemmultistep methodsdiscontinuitiesrestartsstepsizes

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) (n)-body problems (70F10) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items

Runge-Kutta restarters for multistep methods in presence of frequent discontinuities

Uses Software

• LSODE
• MBSSIM

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solving Ordinary Differential Equations I
• Runge-Kutta Methods with Minimum Error Bounds
• Runge-Kutta Starters for Multistep Methods
• Comparing Numerical Methods for Ordinary Differential Equations
• Coefficients for the study of Runge-Kutta integration processes