Department of Mathematics Colloquium Series An introduction to discontinuous Galerkin methods with discussion of undergraduate research Dr. Chad Vidden Department of Mathematics University of Wisconsin–La Crosse Numerical methods plan an important role in modern mathematics and science. The behavior of the solution to an equation, integral, or differential equation can be readily explored numerically, often when no mathematical techniques are available. Today, scientific exploration is often conducted on computers rather than by using laboratory equipment because it is more cost effective. This talk will provide a basic introduction to numerical methods for differential equations. The finite difference methods and discontinuous Galerkin methods will be derived and analyzed for select problems. In addition, a derivation of a partial differential equation for modeling heat flow will be presented. Last, a discussion of undergraduate research will be provided. Students early in their academic career who are searching for undergraduate research opportunities are especially encouraged to attend! Any student who is currently taking calculus 2 (MTH208) will find this talk accessible. Friday, October 10th 3:30pm, Room 1401 All Welcome to Attend Centennial Hall