Edward Fuselier Associate Professor of Mathematics High Point University Department of Mathematics and Computer Science 363 Congdon Hall (336) 841-9343 Office Hours: by appointment Mailing Address: Department of Mathematics and Computer Science High Point University One University Way High Point, NC 27268

Classes, Spring 2016

• MTH 1410 - Calculus I
• MTH 3910 - Numerical Methods
• MTH/CSC 4910/4920 - Undergraduate Research I & II
• Current students can access course content via Blackboard.

Classes, Fall 2015

• MTH 1410 - Calculus I
• MTH 4310 - Real Analysis
• MTH/CSC 4910/4920 - Undergraduate Research I & II

Classes, Spring 2015

• MTH 1410 - Calculus I
• MTH 3910 - Numerical Methods
• MTH/CSC 4910/4920 - Undergraduate Research I & II

Classes, Fall 2014

• MTH 1410 - Calculus I
• MTH 2210 - Introduction to Mathematical Thought
• MTH/CSC 4910/4920 - Undergraduate Research I & II

Classes, Spring 2014

• MTH 1310 - Business Calculus
• MTH 2410 - Calculus III
• MTH/CSC 4910/4920 - Undergraduate Research I & II

Classes, Fall 2013

• FYS 1000 - Freshman Seminar - "The Scattering of Species: Mathematical Models and the New World"
• MTH 3410 - Differential Equations
• MTH/CSC 4910/4920 - Undergraduate Research I & II

Why do math? Links

• Why do math?
• Forbes Ranks Mathematician as Best Job for 2014
• 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) A Radial Basis Function Method for Computing Helmholtz-Hodge Decompositions, (accepted). archive link.


• (with V. Shankar and G. Wright) A High-Order Radial Basis Function (RBF) Leray Projection Method for the Solution of the Incompressible Unsteady Stokes Equations, Computers and Fluids, 128 (2016), pg 41-52.


• (with G. Wright) Order-preserving approximation of derivatives with periodic radial basis functions, Advances in Computational Mathematics, Volume 41 (2015), Issue 1, pg 23-53. (journal link)


• (with T. Hangelbroek, F. Narcowich, J. Ward and G. Wright) Kernel Based Quadrature on Spheres and Other Homogeneous Spaces, Numerische Mathematik, 127 (2014), no. 1, pg 57-92.


• (with T. Hangelbroek, F. Narcowich, J. Ward and G. Wright) Localized Bases for Kernel Spaces on the Unit Sphere, SIAM Journal on Numerical Analysis, Volume 51 (2014), no. 5, pg 2538-2562 archive link.


• (with G. Wright) A High-Order Kernel Method for Diffusion and Reaction-Diffusion Equations on Surfaces, Journal of Scientific Computing, (2013) (journal link).


• (with G. Wright) Scattered Data Interpolation on Embedded Submanifolds with Restricted Positive Definite Kernels: Sobolev Error Estimates, SIAM Journal on Numerical Analysis, 50 (2012), no. 3, 1753-1776. (journal link).


• (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

Misc Links

• High Point Math Faculty Academic Family Tree
• Math Genealogy
• Math Genealogy Grapher