A family of multistep methods to integrate orbits on spheres

DOI10.1007/BF01385753zbMath0791.65057MaRDI QIDQ1326450

José Manuel Ferrándiz, María-Teresa Pérez

Publication date: 7 July 1994

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133736

zbMATH Keywords

algorithmsstabilityconvergenceconsistencyinitial value problemmultistep methodsKepler problemorbits on spherestrajectory problem

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

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• Stability of multistep-methods on variable grids
• Convergence of the Lambert-McLeod trajectory solver and of the CELF method
• The defect correction principle and discretization methods
• Stability of Runge-Kutta Methods for Trajectory Problems
• Geometrically Derived Difference Formulae for the Numerical Integration of Trajectory Problems
• Implicit Runge-Kutta Processes