Prof. Robert C. Kirby

Associate Professor of Mathematics

Texas Tech University

Title:

Metanumerical computing for partial differential equations: the Sundance project

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, include 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 PDE 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.

Bio:

Rob Kirby earned his Ph.D. in Computational and Applied Mathematics at the University of Texas at Austin in 2000. He worked as a Dickson Instructor and then Assistant Professor of Computer Science at the University of Chicago. In 2006, he moved to the Department of Mathematics & Statistics Department where he is currently an associate professor. His work has included analysis of numerical methods, automation and optimization of mathematical software, and low-complexity finite element algorithms on simplices.

http://www.math.ttu.edu/~kirby/

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