Gregory Fasshauer
Associate Professor of Applied Mathematics
Ph.D., Vanderbilt University

Research Interests:

Approximation theory, numerical analysis, computer-aided geometric design, meshfree approximation methods. In particular multilevel methods for the numerical solution of partial differential equations with radial basis functions. Also surface design with bivariate splines based on variational principles.

Selected Publications:

• Meshfree Approximation Methods with MATLAB, Interdisciplinary Mathematical Sciences - Vol. 6, World Scientific Publishers, Singapore, 2007.
• On choosing "optimal" shape parameters for RBF approximation, with J.G. Zhang, Numerical Algorithms, to appear.
• Computation of natural frequencies of shear deformable beams and plates by an RBF-pseudospectral method, with A.J.M. Ferreira, Comput. Methods Appl. Mech. Engrg. 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.