A parallelizable energy-preserving integrator MB4 and its application to quantum-mechanical wavepacket dynamics

DOI10.1007/s13160-020-00430-2zbMath1471.65079arXiv2003.04345OpenAlexW3044214806MaRDI QIDQ2024603

Shuhei Kudo, Yusaku Yamamoto, Hiroto Imachi, Yuto Miyatake, Takeo Hoshi, Tsubasa Sakai

Publication date: 4 May 2021

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.04345

zbMATH Keywords

numerical integrationordinary differential equationsnonlinear Schrödinger equationparallel computingenergy-preserving methodsMB4 method

Mathematics Subject Classification ID

Parallel algorithms in computer science (68W10) Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Related Items (1)

mb4-nls2d

Uses Software

• GitHub

Cites Work

• Unnamed Item
• Finite-difference solutions of a non-linear Schrödinger equation
• Time integration and discrete Hamiltonian systems
• Conerservative and Nonconservative Schemes for the Solution of the Nonlinear Schrödinger Equation
• Geometric integration using discrete gradients
• A Relaxation Scheme for the Nonlinear Schrödinger Equation
• A new class of energy-preserving numerical integration methods
• Geometric Numerical Integration
• A Characterization of Energy-Preserving Methods and the Construction of Parallel Integrators for Hamiltonian Systems

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