Uniform and optimal error estimates of a nested Picard integrator for the nonlinear Schrödinger equation with wave operator
Yongyong Cai,
Yue Feng,
Yichen Guo
et al.
Abstract:We propose a second‐order nested Picard iterative integrator sine pseudospectral (NPI‐SP) method for the nonlinear Schrödinger equation with wave operator (NLSW) involving a parameter and carry out rigorous error estimates. Actually, the equation propagates wave with wavelength in time, while the amplitude of the leading oscillation is for well‐prepared initial data, and for ill‐prepared initial data, respectively. Based on the exponential integrator and nested Picard iteration, the uniformly accurate (w.r… Show more
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