### 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 Design, 235--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  Resources These works are licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License. Applied Mathematics at GSU (pdf file) GSU LaTeX Graduate Thesis (zip file) -- revision 6/7/2017 GSU LaTeX Honors Thesis (zip file) -- revision 2/23/2018 Russian-to-English Mathematical Word List (pdf file) OpenStax Calculus I WeBWorK Problems (zip file)