Study of instability of the Fourier split-step method for the massive Gross-Neveu model

DOI10.1016/j.jcp.2019.109100zbMath1453.65271arXiv1911.00651OpenAlexW2988167284MaRDI QIDQ2222824

T. I. Lakoba

Publication date: 27 January 2021

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.00651

zbMATH Keywords

solitary wavesnumerical instabilitynonlinear Dirac equationsmassive Gross-Neveu modelFourier split-step method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) PDEs in connection with quantum mechanics (35Q40) Software, source code, etc. for problems pertaining to numerical analysis (65-04) Soliton solutions (35C08)

Related Items (1)

Higher‐order explicit schemes based on the method of characteristics for hyperbolic equations with crossing straight‐line characteristics

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