Professor Emeritus
Joined School 1971
BSc (Toronto),
MASc (Toronto),
PhD (Maryland)
| rbsimpso@uwaterloo.ca | |
| Web | http://scicom.uwaterloo.ca/~rbsimpso |
| Voice | 519-888-4567 x34469 |
| Fax | 519-885-1208 |
|
| R. Bruce Simpson
Professor Emeritus Joined School 1971 BSc (Toronto),
|
The context of Professor Simpson's research is computational support for scientific and engineering modeling based on partial differential equations (PDEs), such as computational fluid dynamics or the valuation of financial instruments. The primary focus of his research in this context is unstructured meshing, which is a fundamental two dimensional discretization technique that is used for numerical solution of PDEs, graphics for surface representation and in image processing, among other things.
The challenges presented to meshing research arise from
• complicated geometries,
• accuracy requirements for data representation or approximation of functions and their derivatives;
• efficiencies of algorithms and the usual implementation issues for mathematical software
Professor Simpson, in collaboration with students and other researchers, has developed and implemented algorithms for generalized Delaunay mesh generation for planar regions and surfaces with guaranteed triangle quality measures. They have also identified and explored the basic theoretical connections between optimal piecewise linear approximation properties and anisotropy in the corresponding unstructured mesh. On the software side, he has worked on object oriented mesh representations and reusable programs for meshing two dimensional regions and surfaces.
In addition to his basic research on mesh generation, Professor Simpson has collaborated on applications of meshing for
• computational fluid dynamics, including error estimation
• the valuation of financial derivatives
• modeling tree leaves for realistic graphics.
Professor Emeritus, University of Waterloo (2005)
In the years 1975-1983, Professor Simpson was involved in contract research on modeling the Great Lakes with the Canada Centre for Inland Waters (now the National Water Research Institute), Burlington, Ontario.
His interest in unstructured meshing and foreign travel was strongly stimulated by three sabbatical leaves 1977-1978 Brunel University, Uxbridge, UK 1991-1992 CERFACS, Toulouse France 1999-2000 INRIA, Rocquencourt and INRIA, Sophia Antipolis, France.
A. C. Belanger and R.B. Simpson. Computing Two-Factor Deltas Using Unstructured Meshes. Journal of Computational Finance, 10:45-70, 2007.
R.B. Simpson. How Efficient is Delaunay Refinement? An Empirical Study. 15 International Meshing Roundtable, Springer, ISBN-10 3-540-34957-X, 2006.
S.M. Hong, R.B. Simpson, and G.V.G. Baranoski. Interactive Venation Based Leaf Shape Modeling. Computer Animation and Virtual Worlds, 16:415-427, 2005.
R.B. Simpson. Geometry independence for a meshing engine for 2D manifolds. International Journal for Numerical Methods in Engineering, 60:675-694, 2004.
David R. Cheriton School of Computer Science
University of Waterloo
Waterloo, Ontario, Canada N2L 3G1
Tel: 519-888-4567 x33293
Fax: 519-885-1208
Contact | Feedback: cs-webmaster@cs.uwaterloo.ca | David R. Cheriton School of Computer Science | Faculty of Mathematics
Last modified: Monday, 20-Dec-2010 14:30:04 EST
