Skip to Main content Skip to Navigation
New interface
Journal articles

Scattering and uniform in time error estimates for splitting method in NLS

Abstract : We consider the nonlinear Schrödinger 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.
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-03403443
Contributor : Rémi Carles Connect in order to contact the contributor
Submitted on : Monday, November 14, 2022 - 12:23:05 PM
Last modification on : Friday, December 2, 2022 - 3:33:33 AM

Files

global-splitting-final.pdf
Files produced by the author(s)

Identifiers

Citation

Rémi Carles, Chunmei Su. Scattering and uniform in time error estimates for splitting method in NLS. Foundations of Computational Mathematics, 2022, ⟨10.1007/s10208-022-09600-9⟩. ⟨hal-03403443v2⟩

Share

Metrics

Record views

28

Files downloads

17