Prosiectau fesul blwyddyn
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 Wiener-Hopf factorization of matrix polynomials regardless of the partial indices of the matrix. The package can be widely used in various problems, where Wiener-Hopf 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.
|Rhif yr erthygl||20220144|
|Nifer y tudalennau||25|
|Cyfnodolyn||Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences|
|Dyddiad ar-lein cynnar||18 Ion 2023|
|Dynodwyr Gwrthrych Digidol (DOIs)|
|Statws||Cyhoeddwyd - 25 Ion 2023|
Ôl bysGweld 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.
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
EffectFact: Effective Factorisation techniques for matrix-functions: Developing theory, numerical methods and impactful applications
01 Medi 2021 → 31 Awst 2025
Prosiect: Ymchwil a ariannwyd yn allanol