Optimal point-wise error estimate of two conservative fourth-order compact finite difference schemes for the nonlinear Dirac equation
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Publication:2228009
DOI10.1016/j.apnum.2020.12.010zbMath1457.81035OpenAlexW3112156664MaRDI QIDQ2228009
Publication date: 16 February 2021
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2020.12.010
periodic boundary conditionconservationcompact finite difference schemenonlinear Dirac equationthe energy methodpoint-wise error estimate
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Boundary value problems for nonlinear higher-order PDEs (35G30) NLS equations (nonlinear Schrödinger equations) (35Q55) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Finite difference and finite volume methods for ordinary differential equations (65L12) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Mathematical modeling or simulation for problems pertaining to quantum theory (81-10)
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