High-order commutator-free quasi-Magnus exponential integrators for non-autonomous~linear evolution equations
type: Item
instance of: scholarly article
title: High-order commutator-free quasi-Magnus exponential integrators for non-autonomous~linear evolution equations
zbMATH Open document ID: 1411.81027
author: Sergio Blanes
author: Fernando Casas
author: Mechthild Thalhammer
published in: Computer Physics Communications
publication date: 2019-04-23T00:00:00Z
full work available at URL: http://hdl.handle.net/10251/140915
Mathematics Subject Classification ID: 81-08
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 81Q05
zbMATH DE Number: 7046491
zbMATH Keywords: non-autonomous linear equations
zbMATH Keywords: exponential methods
zbMATH Keywords: Magnus integrators
zbMATH Keywords: dissipative quantum systems
zbMATH Keywords: Schröinger equations
zbMATH Keywords: master equations
Wikidata QID: Q115578037
MaRDI profile type: Publication
OpenAlex ID: W2737425023
cites work: Q4792125
cites work: From quantum to classical molecular dynamics: Reduced models and numerical analysis.
cites work: Stability and attractivity of periodic solutions of parabolic systems with time delays
cites work: A concise introduction to geometric numerical integration
cites work: Geometric Numerical Integration
cites work: Exponential integrators
cites work: Q4550964
cites work: Splitting methods
cites work: Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators
cites work: Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
cites work: Algorithm 919
cites work: Expokit
cites work: On Krylov Subspace Approximations to the Matrix Exponential Operator
cites work: Optimized high-order splitting methods for some classes of parabolic equations
cites work: Splitting methods with complex times for parabolic equations
cites work: High order splitting methods for analytic semigroups exist
cites work: Fourth- and sixth-order commutator-free Magnus integrators for linear and nonlinear dynamical systems
cites work: A fourth-order commutator-free exponential integrator for nonautonomous differential equations
cites work: High-order commutator-free exponential time-propagation of driven quantum systems
cites work: Practical symplectic partitioned Runge-Kutta and Runge-Kutta-Nyström methods
cites work: On the necessity of negative coefficients for operator splitting schemes of order higher than two
cites work: Nth-Order Operator Splitting Schemes and Nonreversible Systems
cites work: Global error estimates for exponential splitting
cites work: General theory of fractal path integrals with applications to many-body theories and statistical physics
cites work: On the exponential solution of differential equations for a linear operator
cites work: Improved high order integrators based on the Magnus expansion
cites work: On the solution of linear differential equations in Lie groups
cites work: High order optimized geometric integrators for linear differential equations
cites work: Computations in a free Lie algebra
cites work: Collocation and Relaxed Collocation for the Fer and the Magnus Expansions
cites work: New families of symplectic splitting methods for numerical integration in dynamical astronomy
cites work: Practical splitting methods for the adaptive integration of nonlinear evolution equations. I: Construction of optimized schemes and pairs of schemes
cites work: Physical realization of coupled Hilbert-space mirrors for quantum-state engineering
DOI: 10.1016/J.CPC.2017.07.016
description: scientific article; zbMATH DE number 7046491