Poisson integrators

Bülent Karasözen

Type: Article

Publication Date: 2004-12-01

Citations: 28

DOI: https://doi.org/10.1016/j.mcm.2005.01.015

Similar Works

Action	Title	Year	Authors
+	Numerical Integrators	2006	Ernst Hairer Gerhard Wanner Christian Lubich
+	Integrators for molecular dynamics	2023	Richard J. Sadus
+	Designing Poisson Integrators Through Machine Learning	2024	Miguel Vaquero David Martı́n de Diego Jorgé E. Cortes
+	Functionally-Fitted Energy-Preserving Integrators for Poisson Systems	2021	Xinyuan Wu Bin Wang
+	Integrators for Lie-Poisson dynamical systems	1991	Paul J. Channell James C. Scovel
+	Exponential integrators with quadratic energy preservation for linear Poisson systems	2019	Lijie Mei Li Huang Huang Shi-xiang
+	Variational Integrators	2015	Melvin Leok
+	Exponential Integrators Based on Discrete Gradients for Linearly Damped/Driven Poisson Systems	2021	Brian E. Moore
+	A derivation of energy-preserving exponentially-fitted integrators for Poisson systems	2014	Yuto Miyatake
+	Integrable discrete systems and numerical integrators	1994	B. Grammaticos Bernadette Dorizzi
+	Poisson integrals	2009	Javad Mashreghi
+	Multisymplectic and Variational Integrators	2010	Kang Feng Mengzhao Qin
+	An introduction to symplectic integrators	1996	Paul J. Channell F Neri
+	Numerical integration	2025	Jon Haitz Legarreta Robert Dallyn
+	Numerical Integration	2013	Robert M. Corless Nicolas Fillion
+	Numerical Integration	2015	Bernard V Liengme
+	Numerical Integration	1992	Aleksei G. Sukharev
+	Numerical Integration	1992	Terje O. Espelid Alan Genz
+	Numerical Integration	2023	S. P. Venkateshan Prasanna Swaminathan
+	Numerical Integration	2019	Bernard V Liengme Keith Hekman

Action	Title	Year	Authors
+	Poisson integrators for Volterra lattice equations	2005	T. Ergenç Bülent Karasözen
+	Degenerate variational integrators for magnetic field line flow and guiding center trajectories	2018	C. L. Ellison John M. Finn J. W. Burby M. Kraus Hong Qin W. M. Tang
+	Energy preserving integration of bi-Hamiltonian partial differential equations	2013	Bülent Karasözen Görkem Şimşek
+	The Lie–Trotter integrator in the dynamics of a mechanical system	2019	Ciprian Hedrea
+	Poisson Bracket and Lie-Poisson Schemes	2010	Kang Feng Mengzhao Qin
+ PDF Chat	Poisson integrators for Volterra lattice equations	2005	T. Ergenç Bülent Karasözen
+ PDF Chat	On the Geometry of the Hamilton–Jacobi Equation and Generating Functions	2017	Sebastián J. Ferraro Manuel de León Juan Carlos Marrero David Martı́n de Diego Miguel Vaquero
+	Bi-Hamiltonian Structure in Serret-Frenet Frame	2007	Ender Abadoğlu Hasan Gümral
+	Variational discretization for the planar Lotka–Volterra equations in the Birkhoffian sense	2015	Xinlei Kong Huibin Wu Mei Feng-Xiang
+	Development of variational guiding center algorithms for parallel calculations in experimental magnetic equilibria	2015	C. L. Ellison John M. Finn Hong Qin W. M. Tang

Action	Title	Year	Authors
+	Geometric Models for Noncommutative Algebras	1999	Ana Cannas da Silva Alan Weinstein
+	Integrable Systems of Classical Mechanics and Lie Algebras	1990	A. M. Perelomov
+ PDF Chat	Applications of lie groups to differential equations	1990	Peter J. Olver
+ PDF Chat	Integrability of Nonlinear Systems	1997	Yvette Kosmann–Schwarzbach B. Grammaticos K. M. Tamizhmani
+	Geometric integration using discrete gradients	1999	Robert I. McLachlan G. Quispel Nicolas Robidoux
+	Symplectic integrators for the Ablowitz–Ladik discrete nonlinear Schrödinger equation	1999	C.M. Schober
+	Elementary construction of higher order Lie-Poisson integrators	1993	Steve Benzel Zhong Ge Clint Scovel
+	Composite integrators for bi-Hamiltonian systems	1996	Bülent Karasözen
+	Accurate and Efficient Simulation of Rigid-Body Rotations	2000	Samuel R. Buss
+ PDF Chat	Geometric Integrators for Classical Spin Systems	1997	Jason Frank Weizhang Huang Benedict Leimkuhler