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Scattering and uniform in time error estimates for splitting method in NLS by Carles, Rémi; Su, Chunmei is a scholarly article available to read on EtoBox.

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We consider the nonlinear Schr{\"o}dinger equation with a defocusing nonlinearity which is mass-(super)critical and energy-subcritical. We prove uniform in time error estimates for the Lie-Trotter time splitting discretization. This uniformity in time is obtained thanks to a vectorfield which provides time decay estimates for the exact and numerical solutions. This vectorfield is classical in scattering theory, and requires several technical modifications compared to previous error estimates for splitting methods.

Author

Carles, Rémi; Su, Chunmei

Published

2021

Language

EN