numerical discretization

Energy-conserving and energy-stable discretizations of differential equations

David Ketcheson, Professor, Applied Mathematics and Computational Sciences

Oct 31, 12:00 - 13:00

B9 L2 H1 R2322

numerical discretization energy stability energy conservation Runge-Kutta methods

Abstract Many physical models are characterized by the property that some measure of energy is conserved or is non-increasing in time. This property may be challenging to guarantee in numerical discretizations; often it requires the use of costly implicit methods. I will review some approaches to energy stability and describe a new approach that guarantees energy stability with a general class of explicit schemes that are a simple modification of standard Runge-Kutta methods. Brief Biography David Ketcheson is an Associate Professor of Applied Mathematics and Computational Science (AMCS) and