Geometric integration of non-autonomous linear Hamiltonian problems
From MaRDI portal
Publication:273661
DOI10.1007/s10444-015-9425-0zbMath1338.65272arXiv1409.5058OpenAlexW2209264044MaRDI QIDQ273661
Brynjulf Owren, Håkon Marthinsen
Publication date: 22 April 2016
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.5058
numerical experimentscanonical transformationgeometric integrationGauss-Legendre quadraturesymplectic integratorsHamiltonian formulationexponential methodsMagnus methodnon-autonomous linear equation
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (2)
Symplecticness conditions of some low order partitioned methods for non-autonomous Hamiltonian systems ⋮ Structure-preserving deep learning
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quadrature methods for highly oscillatory linear and non-linear systems of ordinary differential equations. II
- Splitting and composition methods for explicit time dependence in separable dynamical systems
- A second-order Magnus-type integrator for nonautonomous parabolic problems
- Solving linear ordinary differential equations by exponentials of iterated commutators
- On the global error of discretization methods for highly-oscillatory ordinary differential equations
- Solving Ordinary Differential Equations I
- Simulating Hamiltonian Dynamics
- Generalized canonical transformations for time-dependent systems
- A second-order Magnus-type integrator for quasi-linear parabolic problems
- On the solution of linear differential equations in Lie groups
- Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
- On Magnus Integrators for Time-Dependent Schrödinger Equations
- Hamiltonian dynamics on the symplectic extended phase space for autonomous and non-autonomous systems
- Geometric properties of Kahan's method
- Magnus and Fer expansions for matrix differential equations: the convergence problem
- Error analysis of exponential integrators for oscillatory second-order differential equations
- Geometric Numerical Integration
- On the exponential solution of differential equations for a linear operator
- Quadrature methods based on the Cayley transform
This page was built for publication: Geometric integration of non-autonomous linear Hamiltonian problems