numerical discretization

Lajos Lóczi

Research Scientist, Applied Mathematics and Computational Science

numerical methods PDEs ODEs stability analysis numerical discretization qualitative theory numerical analysis

Lajos Lóczi research focuses on the symbolic aspects of numerical methods for differential equations.

Energy-conserving and energy-stable discretizations of differential equations

David Ketcheson, Professor, Applied Mathematics and Computational Science

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