Symplectic exponential Runge-Kutta methods for solving large nonlinear Hamiltonian systems

Authors

DOI:

https://doi.org/10.14464/gammas.v6i1.629

Keywords:

Hamiltonian systems, model order reduction, Runge-Kutta methods, exponential integrators

Abstract

We study exponential Runge-Kutta methods for solving large dimensional stiff Hamiltonian systems. Due to the Hamiltonian structure we would like to preserve this property of the system. So we seek for a way to approximate the matrix exponential terms via Krylov subspace techniques.

Downloads

Published

2024-04-17

How to Cite

Peters, T. (2024). Symplectic exponential Runge-Kutta methods for solving large nonlinear Hamiltonian systems. GAMM Archive for Students, 6(1), 13. https://doi.org/10.14464/gammas.v6i1.629

Issue

Vol. 6 No. 1 (2024): GAMMAS-The Sixth Year

Section

Research Articles

License

Copyright (c) 2024 Till Peters

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

You are free to share and adapt as long as you give appropriate credit, provide a link to the license and do not add restrictions. The copyright remains with the author.
For more informations please read the detailed License Agreement.