Optimal error bounds on time-splitting methods for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
DOI10.1142/S0218202524500155zbMATH Open1540.65354MaRDI QIDQ6551365
Chushan Wang, Weizhu Bao, Ying Ma
Publication date: 6 June 2024
Published in: M\(^3\)AS. Mathematical Models \& Methods in Applied Sciences (Search for Journal in Brave)
nonlinear Schrödinger equationoptimal error boundtime-splitting methodregularity compensation oscillation (RCO)low regularity nonlinearitylow regularity potential
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)
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