Acta Numerica 2003: Geometric numerical integration illustrated by the Störmer–Verlet method
By Ernst Hairer, Christian Lubich, Gerhard Wanner. 2003
443 citations recorded by the source corpus.
Subfields: Computational Mechanics, Computational Theory and Mathematics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/81786240a2df6bb22360a648af7e1c39a8fd97f7
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
- Houman Owhadi
- Molei Tao
- Jascha Narain Sohl-Dickstein
- Jerrold E. Marsden
- Sanjay Lall
- Magdalena Ortiz
- Alireza Doostan
- Sina Ober-Blöbaum
In Computational Theory and Mathematics
- Jascha Narain Sohl-Dickstein
- Jerrold E. Marsden
- Houman Owhadi
- Mayur Mudigonda
- Molei Tao
- Michael Robert DeWeese
In Numerical Analysis
- Houman Owhadi
- Molei Tao
- Jascha Narain Sohl-Dickstein
- Jerrold E. Marsden
- Sanjay Lall
- Magdalena Ortiz
- Sina Ober-Blöbaum
- Petr Krysl
Citations in the corpus
- Studies of dynamic crack propagation and crack branching with peridynamics (2010, unknown): “The Velocity–Verlet algorithm (Hairer et al. 2003) is: Figure 5.”
- Nonintrusive and Structure Preserving Multiscale Integration of Stiff ODEs, SDEs, and Hamiltonian Systems with Hidden Slow Dynamics via Flow Averaging (2009, background): ““The subject of geometric numerical integration deals with numerical integrators that preserve geometric properties of the flow of a differential equation, and it explains how structure preservation leads to an improved long-time behavior” [56].”
- Hamiltonian Monte Carlo Without Detailed Balance (2014, background): “Leapfrog, or Störmer-Verlet, integration provides a discrete time approximation to Hamiltonian dynamics (Hairer et al., 2003).”