DEPARTMENT OF MATHEMATICAL SCIENCES

APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR

**Speaker:**Bonita Saunders, NIST

**Title: ***
Numerical Grid Generation Applied to Interactive Complex Function Visualization in the
NIST Digital Library of Mathematical Functions
*

**Abstract:**
In this talk we discuss the application of a structured grid generation technique to create
computational grids for the accurate plotting of complex function data. The technique uses a
tensor product B-spline grid generation mapping the author originally designed for problems in
aerodynamics and solidification theory. While unstructured methods such as Voronoi or Delaunay
triangulations and quadtree designs may also be used, the grid generation technique is less
important than how closely the grid lines follow the contours of the function. Our mapping
generates a boundary/contour fitted mesh that accurately captures such attributes as zeros,
poles, branch cuts and other singularities.
This work has been used to create over 200 interactive 3D visualizations of complex function
surfaces for the NIST Digital Library of Mathematical Functions (DLMF) released in May 2010.
The NIST DLMF and its hardcopy version, the NIST Handbook of Mathematical Functions, replace
the well-known 1964 NBS Handbook of Mathematical Functions edited by Abramowitz and Stegun.

**Time:** Friday, Mar. 25, 2011, 1:30-2:30 p.m.

**Place:** Science and Tech I, Room 242

Department of Mathematical Sciences

George Mason University

4400 University Drive, MS 3F2

Fairfax, VA 22030-4444

http://math.gmu.edu/

Tel. 703-993-1460, Fax. 703-993-1491