Explicit Multi-Symplectic Splitting Methods for the Nonlinear Dirac Equation

DOI10.4208/AAMM.2013.M278zbMath1305.65183OpenAlexW2460457738MaRDI QIDQ5498626

Huajun Zhu, Songhe Song, Yaming Chen

Publication date: 10 February 2015

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/aamm.2013.m278

zbMATH Keywords

splitting methodexplicit methodnonlinear Dirac equationmulti-symplectic method

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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Hamiltonian Boundary Value Method for the Nonlinear Schrödinger Equation and the Korteweg-de Vries Equation ⋮ Energy-preserving exponential integrator Fourier pseudo-spectral schemes for the nonlinear Dirac equation

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