Geometric integrators for ODEs

By Robert I. McLachlan, G. Quispel. 2006

183 citations recorded by the source corpus.

Subfields: Computational Mechanics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/66ff041a19023b33fdc3b41647c49c2252642321

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Jerrold E. Marsden
2. Magdalena Ortiz
3. Sigrid Leyendecker
4. Uri M. Ascher
5. Sergio Blanes
6. Fernando Casas
7. Sanjay Lall
8. Petr Krysl

In Numerical Analysis

1. Magdalena Ortiz
2. Jerrold E. Marsden
3. Fernando Casas
4. Sigrid Leyendecker
5. Sergio Blanes
6. Uri M. Ascher
7. José Ángel Oteo
8. José Ros

Citations in the corpus

• The Magnus expansion and some of its applications (2008, background): “dependently in areas of research as diverse as celestial mechanics, molecular dynamics, control theory, particle accelerators physics, and numerical analysis [99,119,146,165,166].”
• Numerical Methods for Evolutionary Differential Equations (2008, methodology): “A more accurate symplectic method of order 4 is proposed in [130].”
• Variational integrators for constrained dynamical systems (2008, background): “It eliminates the constraint forces (including the Lagrange multipliers) from the timestepping scheme and subsequently reduces its dimension to the minimal possible number.”