Gregory Fasshauer, Ph.D.
ProfessorAssociate Chair and Director of Undergraduate Studies
Applied Mathematics
Office: Engineering 1, Room 208A
10 W. 32nd St.
Chicago, IL 60616
Office Hours: MW 1 pm - 2 pm and by appointment
Phone: 312.567.3149
Fax: 312.567.3135
Email:
fasshauer_AT_iit_DOT_edu
Web:
Gregory Fasshauer's webpage
Expertise
Education
- Ph.D. in Mathematics - Vanderbilt University (1995)
- MA in Mathematics - Vanderbilt University (1993)
- Diploma & Staatsexamen in Mathematics and English - University of Stuttgart (1991)
Curriculum Vitae
Research & Major Accomplishments
Meshfree methods for multivariate approximation (radial basis functions, moving least squares and related methods), Applications of meshfree methods (surface and solid model compression, image compression, options pricing, vibration analysis of composite beams and plates, gas-dynamics), Numerical analysis (solution of differential and integral equations, Nash iteration, multilevel algorithms, fast summation methods, meshfree pseudospectral methods, parallel computing), Approximation theory (approximation on spheres, approximate approximation), Computer-aided geometric design (minimal energy surfaces, geometric continuity), Spline theory (approximation with multivariate splines, dimensions of multivariate spline spaces).
Current Projects
- Fast and Accurate High Dimensional Function Approximation, with Fred Hickernell
Awards/Honors
- 2008 - AMS Menger Prize Committee
- 2007 - Dean's Excellence Award for Teaching, College of Science and Letters, IIT.
- 2003 - Fellow of Wessex Institute of Technology, Great Britain.
- 1995 - Bjarni Jonsson Prize for Research, Vanderbilt University.
Patents
Books
- Meshfree Approximation Methods with MATLAB, 2007
- Progress on Meshless Methods (with A.J.M. Ferreira, E.J. Kansa and V.M.A. Leitao), 2008
Selected Publications
Static deformations and vibration analysis of composite and sandwich plates using a layerwise theory and RBF-PS discretizations with optimal shape parameter , with AJM Ferreira, RC Batra, and JD Rodrigues, Composite Structures 86 (2008), 328-342.
On choosing "optimal" shape parameters for RBF approximation, with J.G. Zhang, Numerical Algorithms 45 (2007), 345-368.
Computation of natural frequencies of shear deformable beams and plates by an RBF-pseudospectral method, with A.J.M. Ferreira, Comput. Methods Appl. Mechanical Engineering 196 (2006), 134—146.
Newton iteration with multiquadrics for the solution of nonlinear PDEs, Comput. Math. Applic. 43 (2002), 423—438.
Multistep approximation algorithms: improved convergence rates through postconditioning with smoothing kernels, with Joe Jerome, Adv. Comput. Math. 10 (1999), 1—27.
Scattered data fitting on the sphere, with LL Schumaker, M. Daehlen, and T. Lyche, in Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, pg. 117-166, 1998.
Solving partial differential equations by collocation with radial basis functions, with A Le Mehaute, C. Rabut, and LL Schumaker, in Surface Fitting and Multiresolution Methods, Vanderbilt University Press, pg. 131-138, 1997.
Solving differential equations with radial basis functions, Adv. Comp. Math. 11 (1999), 139-159.
