A multi-domain spectral-Galerkin method for the Neumann problem on quadrilaterals

Y Ma, T Wang, Y Shang - Computers & Mathematics with Applications, 2024 - Elsevier
A multi-domain spectral-Galerkin method for the Neumann problem on quadrilaterals is
proposed. We establish first some results on the composite approximation of Legendre in …

Violation of Neumann Problem's Solvability Condition for Poisson Equation, Involved in the Non-Linear PDEs, Containing the Reaction-Diffusion-Convection-Type …

V Trofimov, M Loginova, V Egorenkov, Y Yang, Z Yan - Mathematics, 2023 - mdpi.com
In this paper, we consider the 3D problem of laser-induced semiconductor plasma
generation under the action of the optical pulse, which is governed by the set of coupled …

Multi-Stages Iterative Process for Conservative Economic Finite-Difference Schemes Realization for the Problem of Nonlinear Laser Pulse Interaction with a Medium

VA Trofimov, MM Loginova, VA Egorenkov - … PHENOMENA IN COMPLEX …, 2021 - elibrary.ru
We consider a problem of laser pulse interaction with a nonlinear medium which is
accompanied by different nonlinear phenomena. Among them, we highlight the laser pulse …