Developing Numerical Algorithms for Partial Differential Equations Using Uniform Meshes

Description

Award: Student-nominated Winner

Abstract: This SURF project aims to develop numerical algorithms for solving partial differential equations using uniform meshes. The project will involve studying different types of mesh patterns and their properties, constructing patches for each node on the mesh, and developing numerical schemes suitable for each pattern. The project will use Mathematica software to perform Taylor Expansion analysis of the proposed schemes. The results will be analyzed to identify the advantages and disadvantages of different mesh patterns and their impact on the convergence of the resulting numerical schemes. The project will conclude with a research report and a poster presentation at the SURF Poster Fair.

Period	19 Jun 2023 → 18 Aug 2023