This is a past event.

The Department of Mathematical Sciences invites you to attend the Colloquium through the Visiting Professor's Program by Dr. Mohamed Sulman.

Title: Adaptive Mesh Methods for Partial Differential Equations

Abstract: Many scientific and engineering applications are described by differential equations involving several variables, called partial differential equations (PDEs). When these equations are too complicated to solve by hand, we use computers to find approximate solutions. A common approach is to approximate the solution at a set of points, known as a computational mesh, spread throughout the region.
While a fine mesh can be used to provide a high-resolution approximation in the region, using a fine mesh can be computationally expensive. Instead of using a fine mesh everywhere in the region, adaptive mesh methods place more grid points where they are needed and fewer points where the solution changes slowly.
In this talk, we will introduce adaptive moving mesh methods for solving nonlinear PDEs. We will explain the basic idea behind these methods and use several numerical examples to show how they can improve accuracy while reducing computational cost.

Date: Friday, September 18, 2026
Time: 1:00 p.m.
Location: Fisher Hall 127
Refreshments will be provided

This program/lecture is partially funded/sponsored by the Visiting Professor Program which is funded by a grant to the Office of the Provost from the State of Michigan's Martin Luther King Jr-Delores Huerta-Morris Hood Jr.-Rosa Parks Initiative Initiative.
Michigan Technological University is an Equal Opportunity Educational Institution/Equal Opportunity Employer that provides equal opportunity for all, including protected veterans and individuals with disabilities.