MATH Seminar

Title: Metanumerical computing for partial differential equations: the Sundance project
Seminar: Scientific Computing
Speaker: Robert Kirby of Department of Mathematics and Statistics, Texas Tech University
Contact: Michele Benzi, benzi@mathcs.emory.edu
Date: 2010-10-28 at 4:00PM
Venue: MSC W301
Download Flyer
Abstract: Metanumerical computing deals with computer programs that use abstract mathematical structure to manipulate, generate, and/or optimize compute-intensive numerical codes. This idea has gained popularity over the last decade in several areas of scientific computing, including numerical linear algebra, signal processing, and partial differential equations. The Sundance project is such an example, using high-level software-based differentiation of variational forms to automatically produce high-performance finite element implementations, all within a C++ library. In addition to automating the discretization of PDEs by finite elements, recent work is demonstrating how to produce block-structured matrices and streamline the implementation of advanced numerical methods. I will conclude with some examples of this for some incompressible flow problems.