Multi-Symplectic Runge—Kutta Collocation Methods for Hamiltonian Wave Equations

By Sebastian Reich. 2000

301 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/f62ab7106de256a593076cab39ddef0a2c8147bd

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. Uri M. Ascher
2. Jerrold E. Marsden
3. Thomas J. Bridges
4. Robert I. McLachlan
5. Sebastian Reich
6. Matthew West
7. Magdalena Ortiz
8. Sina Ober-Blöbaum

In Electrical and Electronic Engineering

1. Uri M. Ascher
2. Thomas J. Bridges
3. Robert I. McLachlan
4. Jerrold E. Marsden
5. Matthew West
6. Sebastian Reich
7. Marcus Herrmann

In Numerical Analysis

1. Uri M. Ascher
2. Thomas J. Bridges
3. Jerrold E. Marsden
4. Sebastian Reich
5. Robert I. McLachlan
6. Matthew West
7. Magdalena Ortiz
8. Sina Ober-Blöbaum

Citations in the corpus

• Discrete mechanics and variational integrators (2001, methodology): “The above construction has also been generalized to multisymplectic partial differential equations in West (2001), thereby obtaining multisymplectic product partitioned Runge–Kutta methods (Reich 2000).”
• Multisymplectic box schemes and the Korteweg{de Vries equation (2004, methodology): “Here we use the fact that the box scheme applied to (6) is multisymplectic [17].”
• Numerical methods for Hamiltonian PDEs (2006, methodology): “General aspects of the theory of modified conservation laws is developed in Moore & Reich [109].”