Exponential integrator preserving mass boundedness and energy conservation for nonlinear Schrödinger equation
DOI10.1016/j.apnum.2021.12.007zbMath1483.35228OpenAlexW4200404316WikidataQ115586154 ScholiaQ115586154MaRDI QIDQ2073960
Zhuangzhi Xu, Wenjun Cai, Dongdong Hu, Yu Shun Wang
Publication date: 3 February 2022
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2021.12.007
nonlinear Schrödinger equationerror estimateenergy conservationFourier pseudo-spectral methodlinearly implicitexponential time differencing method
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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)
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