Splitting methods for non-autonomous Hamiltonian equations
From MaRDI portal
Publication:5943986
DOI10.1006/jcph.2001.6733zbMath0986.65125OpenAlexW2112119367MaRDI QIDQ5943986
Sergio Blanes, Per Christian Moan
Publication date: 28 May 2002
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/f55b8e77e059b5b470ea031e637f87663135a2cb
Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)
Related Items
Fourth- and sixth-order commutator-free Magnus integrators for linear and nonlinear dynamical systems, High-order IMEX-spectral schemes for computing the dynamics of systems of nonlinear Schrödinger/Gross-Pitaevskii equations, Time-Average on the Numerical Integration of Nonautonomous Differential Equations, On expansions for nonlinear systems error estimates and convergence issues, Magnus integrators for solving linear-quadratic differential games, Fourth-order factorization of the evolution operator for time-dependent potentials, Symplecticness conditions of some low order partitioned methods for non-autonomous Hamiltonian systems, Vlasov and Drift Kinetic Simulation Methods Based on the Symplectic Integrator, The convergence of a new symmetric iterative splitting method for non-autonomous systems, An efficient iterative algorithm for solving non-linear oscillation problems, High-order splitting methods for separable non-autonomous parabolic equations, A numerical scheme for the integration of the Vlasov-Maxwell system of equations, High order numerical integrators for differential equations using composition and processing of low order methods, Symplectic analytically integrable decomposition algorithms: classification, derivation, and application to molecular dynamics, quantum and celestial mechanics simulations, Adaptive explicit Magnus numerical method for nonlinear dynamical systems, A combinatorial approach to the generalized Baker-Campbell-Hausdorff-Dynkin formula, Practical symplectic partitioned Runge-Kutta and Runge-Kutta-Nyström methods
Cites Work
- Unnamed Item
- Unnamed Item
- A comparison of different propagation schemes for the time dependent Schrödinger equation
- A symplectic integration algorithm for separable Hamiltonian functions
- Sixth-order Lie group integrators
- An explicit symplectic integration scheme for plasma simulations
- Optimal stability polynomials for splitting methods, with application to the time-dependent Schrödinger equation
- Coexisting chaotic attractors, their basin of attractions and synchronization of chaos in two coupled Duffing oscillators
- Splitting methods for the time-dependent Schrödinger equation
- Improved high order integrators based on the Magnus expansion
- Practical symplectic partitioned Runge-Kutta and Runge-Kutta-Nyström methods
- Processing symplectic methods for near-integrable Hamiltonian systems
- An efficient approximation method for stochastic differential equations by means of the exponential Lie series
- Composition methods in the presence of small parameters
- The accuracy of symplectic integrators
- The Magnus expansion for classical Hamiltonian systems
- On the solution of linear differential equations in Lie groups
- On the Numerical Integration of Ordinary Differential Equations by Symmetric Composition Methods
- Symplectic Integration with Processing: A General Study
- On the existence of the exponential solution of linear differential systems
- Magnus and Fer expansions for matrix differential equations: the convergence problem
- On the exponential solution of differential equations for a linear operator
