Results 111 to 120 of about 192 (135)

Adaptive Hamiltonian Variational Integrators and Applications to Symplectic Accelerated Optimization

SIAM Journal of Scientific Computing, 2021
Melvin Leok
exaly  

A long-term numerical energy-preserving analysis of symmetric and/or symplectic extended RKN integrators for efficiently solving highly oscillatory Hamiltonian systems

BIT Numerical Mathematics, 2021
, Wu Xinyuan
exaly  

Integrability of symplectic mappings

2020
vıı ABSTRACT INTEGRABILITY OF SYMPLECTIC MAPPINGS This thesis can be divided into two parts: continuous and discrete. In the contin uous part, both finite and infinite dimensional Hamiltonian systems are discussed. In finite dimensional Hamiltonian systems (ODEs) we state the Arnold-Liouvile theorem which gives the conditions of integrability.
openaire   +1 more source

Symplectic integration

1994
J. M. Sanz-Serna, M. P. Calvo
openaire   +1 more source

New open modified Newton Cotes type formulae as multilayer symplectic integrators

Applied Mathematical Modelling, 2013
T E Simos
exaly  

Symplectic integrators and their application to dynamical astronomy

Celestial Mechanics and Dynamical Astronomy, 1991
Kinoshita Hiroshi
exaly  

Symplectic Integration

2020
openaire   +1 more source

Symmetric and symplectic exponential integrators for nonlinear Hamiltonian systems

Applied Mathematics Letters, 2019

exaly  

High order symplectic integrators based on continuous-stage Runge-Kutta-Nyström methods

Applied Mathematics and Computation, 2019
Wensheng Tang, Yajuan Sun, Jingjing Zhang   +2 more
exaly  

High order closed Newton-Cotes exponentially and trigonometrically fitted formulae as multilayer symplectic integrators and their application to the radial Schrödinger equation

Journal of Mathematical Chemistry, 2012
T E Simos, Simos T E
exaly