Homepage of Scott Kersey


Dr. Scott N. Kersey

Associate Professor of Mathematics
Department of Mathematical Sciences
Georgia Southern University

Ph.D. in Mathematics
University of Wisconsin-Madison (1999)

e-mail: skersey at georgiasouthern.edu
s-mail: Department of Mathematical Sciences
            Georgia Southern University
            65 Georgia Ave.
            Statesboro, GA 30460-8093
v-mail: 912-478-1963
Office: MP2308

Statesboro Blues
 
 Research
  • Approximation Theory
  • Polynomial and Spline Theory
  • Curve and Surface Fitting
  • Computational Mathematics
Recent Publications
  • A dual basis for discrete polynomial blending, IJNMA 15(4), 267--303 (2016)
  • Rank of submatrices of the Pascal matrix, JMS:AA 42, 1--12 (2016)
  • Invertibility of submatrices of the Pascal matrix and Birkhoff interpolation, JMS:AA 41, 45--56 (2016)
  • Dual basis functions in subspaces, IJNMA 14 (2), 133--155 (2015)
  • Ranking of financial ratios (with A. Zhang), JIFE 15(4), 67--72 (2015)
  • Dual basis functions in subspaces of inner product spaces, AMC 219, 10012--10024 (2013)
  • Constrained variational refinement, JCAM 223, 983--996 (2009)
  • Convergence of local variational spline interpolation (with M.J. Lai), JMAA  341(1), 398--414 (2008)
  • Mixed interpolating-smoothing splines and the $\nu$-spline, JMAA 322(1), 28--40 (2006)
  • Nonuniform, local variational Subdivision, in Wavelets and Splines, 260--270 (2006)
  • Sufficient conditions for smooth non-uniform variational refinement curves, in Approximation Theory XI, 185--196 (2005)
  • An abstract formulation of variational refinement, JAT 130(2), 150--163 (2004)
  • Smoothing and near-interpolatory subdivision surfaces, in Geometric modeling and computing, 353--364 (2004)
  • The effect of parametrization on subdivided curves, in Constructive Approximation, 243--254 (2004)
  • Near-interpolation to arbitrary constraints, in Curve and Surface Design235--244 (2003)
  • On the problems of smoothing and near-interpolation,  MC 72, 1873--1885 (2003)
  • Near-interpolation, NM 94(3), 523--540 (2003)
  • Best near-interpolation by curves: Existence, SJNA 38(5), 1666--1675 (2000)
 Undergraduate Teaching
  • Calculus I-III
  • Differential Equations
  • Discrete Mathematics
  • Mathematical Structures
  • Computing Techniques
Advanced Undergraduate/Graduate
  • Analysis I-II
  • Applied Numerical Methods
  • Mathematics for Scientists and Engineers
  • Mathematics of Curves and Surfaces
  • Computer Graphics
Graduate Teaching
  • Advanced Linear Algebra
  • Advanced Numerical Analysis
  • Methods of Optimization
  • Functional Analysis