Edward Fuselier Assistant Professor High Point University Department of Mathematics and Computer Science 119 Congdon Hall (336) 841-9343 Office Hours: MWF 1:30-2:30, TT 2-3, or by appointment

Current Classes, Spring 2012

• Math 1410 - Calculus I
• Math 3910 - Numerical Methods
• Current students can access course content via Blackboard.

Why do math? Links

• Why do math?
• Science, math careers rank as best jobs during recession.
• Mathematician Makes Top Two in New Ranking of Best Occupations in the U.S. (2011).
• Mathematician Makes Top Ten in New Ranking of Best Occupations in the U.S. (2010).
• Mathematicians Land Top Spot in Ranking of Best Occupations in the U.S. (2009).

Research Interests

• Radial Basis Functions and Their Applications
• Kernel Approximation on the Sphere and other Manifolds
• Divergence-free and Curl-free Positive Definite Functions

Publications

• (with G. Wright) Scattered Data Interpolation on Embedded Submanifolds with Restricted Positive Definite Kernels: Sobolev Error Estimates, (submitted). arXiv:1007.2825


• (with G. Wright) Stability and Error Estimates for Vector Field Interpolation and Decomposition on the Sphere with RBFs, SIAM Journal on Numerical Analysis, 47 (2009) no.5, 3213-3239. (journal link)


• (with F. Narcowich, J. Ward and G. Wright) Error and Stability Estimates for Surface-Divergence Free RBF Interpolants on the Sphere, Mathematics of Computation, 78 (2009), 2157-2186. (journal link)


• Improved Stability Estimates and a Characterization of the Native Space for Matrix-valued RBFs, Advances In Computational Mathematics, 29 (2008), no. 3, 269-290. (journal link)


• (with N. Benitez, T. Broadhurst, D. Coe and H. Ford) LensPerfect: Gravitational Lens Massmap Reconstruction Yielding Exact Reproduction of all Possible Images, The Astrophysical Journal. 681 (2008), no. 2, 812-830. arXiv:0803.1199


• Sobolev-type Approximation Rates for Divergence-free and Curl-free RBF Interpolants, Mathematics of Computation, 77 (2008), no. 263, 1407-1423. (journal link)


• Refined Error Estimates for Matrix-Valued Radial Basis Functions, Ph.D. Thesis, Texas A&M University, May 2006.


• (with D. R. McCarthy) Reduction in Transport by the Parallel Velocity Shear Instability Due to Reversed Magnetic Shear, Physics of Plasmas, August 2001, 3645-3651.

Education

• Ph.D. Mathematics, Texas A&M University , May 2006
• B.S. Mathematics, Southeastern Louisiana University , December 2000

Positions Held

• Assistant Professor, High Point University , August 2009 - Present
• Assistant Professor, United States Military Academy , May 2006 - May 2009

Classes Taught at High Point University

• Math 1180 - Mathematics for Elementary Education, Spring 2011
• Math 3910 - Numerical Methods, Spring 2011
• Math 3410 - Differential Equations, Fall 2010
• Math 1310 - Calculus for Business & Social Sciences, Fall 2010
• Math 460 - Numerical Methods, Spring 2010
• Math 141 - Precalculus, Spring 2010
• Math 441 - Introduction to Real Analysis, Fall 2009
• Math 142 - Calculus I, Fall 2009
• Math 141 - Precalculus, Fall 2009

Classes Taught at the United States Military Academy

• MA206 - Probability and Statistics, Spring 2009
• MA491 - Senior Capstone Project, Spring 2009
• MA499 - Senior Honors Thesis, Spring 2009
• MA371 - Linear Algebra, Fall 2008
• MA386 - Numerical Analysis, Fall 2008
• MA498 - USMA Senior Honors Thesis, Fall 2008
• MA371 - Linear Algebra, Spring 2008
• MA466 - Abstract Algebra, Spring 2008
• MA205 - Integral Calculus, Fall 2007
• MA386 - Numerical Analysis, Fall 2007
• MA205 - Integral Calculus, Summer 2007
• MA104 - Differential Calculus, Spring 2007
• MA205 - Integral Calculus, Fall 2006