most citedUniform error bound of an exponential wave integrator for the long-time dynamics of the nonlinear Schrödinger equation with wave operator

1 citations · 2 across the 2 of their papers we have counts for

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2 papers

math.NA2023★ 1 cited

Uniform error bound of an exponential wave integrator for the long-time dynamics of the nonlinear Schrödinger equation with wave operator

Yue Feng, Yichen Guo, Yongjun Yuan

We establish the uniform error bound of an exponential wave integrator Fourier pseudospectral (EWI-FP) method for the long-time dynamics of the nonlinear Schrödinger equation with…

math.NA2023★ 1 cited

Long-time error bounds of low-regularity integrators for nonlinear Schrödinger equations

Yue Feng, Georg Maierhofer, Katharina Schratz

We introduce a new non-resonant low-regularity integrator for the cubic nonlinear Schrödinger equation (NLSE) allowing for long-time error estimates which are optimal in the sense…