Seminar

Monday, December 23, 2024
11:00
MLIT Room 310, Online seminar via MTS Link

Seminar of the Scientific Department of Computational Physics

Speaker: V. Melezhik (BLTP)

Parallelization of the Computational Scheme for Solving the Non-Stationary Three-Dimensional Schrödinger Equation Using a Two-Dimensional DVR Basis

Abstract
This paper presents a parallelization scheme for solving the non-stationary three-dimensional Schrödinger equation. The problem is studied in the DVR (Discrete Variable Representation) framework, where the original equation is reduced to a system of ordinary differential equations (ODEs). A component-wise splitting method is used for numerical integration, enabling efficient computation by dividing the problem into independent subproblems. The study demonstrates that key computational steps, such as vector transformations and matrix diagonalization, can be effectively parallelized. Numerical simulation results are provided, showcasing a significant reduction in computation time for problems requiring a large number of grid points in temporal and spatial variables.

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