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20222026
most citedError estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity

13 citations · 56 across the 12 of their papers we have counts for

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math.NA2026

A potential projection method for the nonlinear Schrödinger equation with low regularity potential

Weizhu Bao, Qingyuan Sun, Chushan Wang

We propose a potential projection (PP) method for the nonlinear Schrödinger equation (NLSE) with low-regularity and singular potentials by replacing the potential with its Fourier…

math.NA2026

Optimal error bounds on the exponential wave integrator for nonlinear Schrödinger equations with highly singular potential

Weizhu Bao, Chushan Wang, Yifei Wu

We establish error estimates of the first-order exponential wave integrator (EWI) for the nonlinear Schrödinger equation (NLSE) with a highly singular potential in w…

math.NA2026

Optimal error bounds on the exponential integrator for dispersive equations with highly concentrated potential

Guillaume Bal, Chushan Wang

We study a one-dimensional linear dispersive equation of differential order with concentrated potential of extension with , featuring…