A parallelizable energy-preserving integrator MB4 and its application to quantum-mechanical wavepacket dynamics
type: Item
instance of: scholarly article
title: A parallelizable energy-preserving integrator MB4 and its application to quantum-mechanical wavepacket dynamics
zbMATH Open document ID: 1471.65079
author: Tsubasa Sakai
author: Shuhei Kudo
author: Hiroto Imachi
author: Yuto Miyatake
author: Takeo Hoshi
author: Yusaku Yamamoto
published in: Japan Journal of Industrial and Applied Mathematics
publication date: 2021-05-04T00:00:00Z
full work available at URL: https://arxiv.org/abs/2003.04345
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65P10
Mathematics Subject Classification ID: 65Y05
Mathematics Subject Classification ID: 68W10
zbMATH DE Number: 7343400
zbMATH Keywords: ordinary differential equations
zbMATH Keywords: numerical integration
zbMATH Keywords: energy-preserving methods
zbMATH Keywords: MB4 method
zbMATH Keywords: nonlinear Schrödinger equation
zbMATH Keywords: parallel computing
MaRDI profile type: Publication
OpenAlex ID: W3044214806
arXiv ID: 2003.04345
cites work: Geometric Numerical Integration
cites work: Time integration and discrete Hamiltonian systems
cites work: Geometric integration using discrete gradients
cites work: A new class of energy-preserving numerical integration methods
cites work: Q2960810
cites work: A Characterization of Energy-Preserving Methods and the Construction of Parallel Integrators for Hamiltonian Systems
cites work: Finite-difference solutions of a non-linear Schrödinger equation
cites work: A Relaxation Scheme for the Nonlinear Schrödinger Equation
cites work: Conerservative and Nonconservative Schemes for the Solution of the Nonlinear Schrödinger Equation
DOI: 10.1007/S13160-020-00430-2
describes a project that uses: GitHub
Recommended article: An OpenMP/MPI approach to the parallelization of iterative four-atom quantum mechanics
Recommended article: Multi-symplectic preserving integrator for the Schrödinger equation with wave operator
Recommended article: A Poisson Integrator for Gaussian Wavepacket Dynamics
Recommended article: Fine Grain Parallelism for Discrete Variable Approaches to Wavepacket Calculations
Recommended article: Exponential integrators for quantum-classical molecular dynamics
Recommended article: Time-dependent wave packet calculations on parallel computers: A new and efficient algorithm for evaluating \(\overline{H}\psi\)
Recommended article: Q2712884
Recommended article: An efficient numerical quadrature for the calculation of the potential energy of wavefunctions expressed in the Daubechies wavelet basis
Recommended article: Q2712885
description: scientific article