Francis Narcowich

Francis J. Narcowich is a Professor of Mathematics at Texas A&M University, affiliated with the College of Arts & Sciences. He holds a Ph.D. from Princeton University (1972) and has been a faculty member since his appointment. His research focuses on approximation theory, mathematical physics, and numerical methods, with notable contributions to radial basis functions, wavelets, and spherical approximation.

• Education:
  • Ph.D. in Mathematics, Princeton University, 1972
  • M.A. in Mathematics, Princeton University, 1970
  • B.S. in Mathematics, DePaul University, 1968
• Teaching:
  • Current courses (Spring 2025): Math 414 (Fourier Series and Wavelets), Math 601 (Methods of Applied Mathematics)
  • Past courses include Analysis for Applications, Complex Variables, and Special Functions

Research Interests: Dr. Narcowich's work bridges approximation theory and applied mathematics, emphasizing kernel-based methods, scattered data approximation, and numerical solutions of PDEs on spheres. His contributions include advancements in radial basis functions, localized bases, and spectral theory for operators.

Publications: Over 100 peer-reviewed articles, including seminal works on spherical interpolation, meshless methods, and inverse theorems in approximation theory. Notable books include *A First Course in Wavelets and Fourier Analysis* (co-authored with Albert Boggess).

Grants and Service: Extensive funding history in applied mathematics and computational science. Active in academic service, including curriculum development and graduate student mentorship.