Prosiectau fesul blwyddyn
Crynodeb
We are revisiting the problem of solving a discrete nonlinear Schrödinger equation by the inverse scattering transform method, by use of the recently developed ExactMPF package within MAPLE Software. ExactMPF allows for an exact WienerHopf factorization of matrix polynomials regardless of the partial indices of the matrix. The package can be widely used in various problems, where WienerHopf factorization as one of the effective mathematical tools is required, as its code has already been disclosed. The analysis presented in this paper contains not only numerical examples of its use, but is also supported by appropriate and accurate a priori estimations. The procedure itself guarantees that the ExactMPF package produces all computations arithmetically exactly, and a detailed numerical analysis of various aspects of the computational algorithm and approximation strategies is provided in the case of a finite initial impulse.
Iaith wreiddiol  Saesneg 

Rhif yr erthygl  20220144 
Nifer y tudalennau  25 
Cyfnodolyn  Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 
Cyfrol  479 
Rhif cyhoeddi  2269 
Dyddiad arlein cynnar  18 Ion 2023 
Dynodwyr Gwrthrych Digidol (DOIs)  
Statws  Cyhoeddwyd  25 Ion 2023 
Ôl bys
Gweld gwybodaeth am bynciau ymchwil 'Utilization of the ExactMPF package for solving a discrete analogue of the nonlinear Schrödinger equation by the inverse scattering transform method'. Gyda’i gilydd, maen nhw’n ffurfio ôl bys unigryw.Setiau Data

Supplementary material from "Utilization of the ExactMPF package for solving a discrete analogue of the nonlinear Schrödinger equation by the inverse scattering transform method"
Adukov, V. M. & Mishuris, G., The Royal Society, 06 Ion 2023
Dangosydd eitem ddigidol (DOI): 10.6084/m9.figshare.c.6373073
Set ddata
Ffeil

EffectFact: Effective Factorisation techniques for matrixfunctions: Developing theory, numerical methods and impactful applications
Horizon 2020 European Commission
01 Medi 2021 → 31 Awst 2025
Prosiect: Ymchwil a ariannwyd yn allanol

Wolfson Visiting Fellowship  Professor Victor Eremeyev
01 Gorff 2021 → 30 Meh 2023
Prosiect: Ymchwil a ariannwyd yn allanol