An explicit and symmetric exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity

DOI10.1137/23m1615656zbMATH Open1545.3517MaRDI QIDQ6590541

Weizhu Bao, Chushan Wang

Publication date: 21 August 2024

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

nonlinear Schrödinger equationerror estimatesymmetric exponential wave integratorlow regularity nonlinearitylow regularity potential

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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