Edward Fuselier Assistant Professor United States Military Academy Department of Mathematical Sciences Office Phone: 845-938-4014 E-mail: Edward.Fuselier@usma.edu

Education

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

Research Interests

• Approximation Theory
• Radial Basis Functions and Their Applications
• Divergence-free and Curl-free Positive Definite Functions
• Please see my research statement for more details.

Publications

• (with G. Wright) Stability and Error Estimates for Vector Field Interpolation and Decomposition on the Sphere with RBFs, submitted.


• (with F. Narcowich, J.Ward and G.Wright) Error and Stability Estimates for Surface-Divergence Free RBF Interpolants on the Sphere, Mathematics of Compuation, (accepted, to appear).


• Improved Stability Estimates and a Characterization of the Native Space for Matrix-valued RBFs, Advances In Computational Mathematics, (accepted, to appear).


• (with N. Ben´ýtez, 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, 814–830.


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


• 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.

Job Search Materials

(Updated October 2008)

• AMS Cover Sheet
• Curriculum Vitae
• Teaching Statement
• Research Statement

Teaching

• MA371 - Linear Algebra, Fall 2008
• MA386 - Numerical Analysis, 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