Controlling the wrapping effect in the solution of ODEs for asteroids

DOI10.1023/A:1023009910949zbMath1219.70003OpenAlexW127523859MaRDI QIDQ1869607

Kyoko Makino, Jens Hoefkens, Martin Berz

Publication date: 28 April 2003

Published in: Reliable Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1023009910949

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Numerical methods for initial value problems involving ordinary differential equations (65L05) Celestial mechanics (70F15) Algorithms with automatic result verification (65G20)

Related Items (7)

Interval-type and affine arithmetic-type techniques for handling uncertainty in expert systems ⋮ Shrink wrapping for Taylor models revisited ⋮ Computer assisted error bounds for linear approximation of (un)stable manifolds and rigorous validation of higher dimensional transverse connecting orbits ⋮ Asteroid close encounters characterization using differential algebra: the case of apophis ⋮ Polynomial approximation of one parameter families of (un)stable manifolds with rigorous computer assisted error bounds ⋮ Computing reachable sets for uncertain nonlinear monotone systems ⋮ A Taylor model toolbox for solving ODEs implemented in Matlab/INTLAB

This page was built for publication: Controlling the wrapping effect in the solution of ODEs for asteroids