Richard D. Neidinger

"Multivariate Polynomial Interpolation in Newton Forms"

SIAM Review, Vol. 61, No. 2, June 2019, pp. 361-381, (reprint).

"Comparing High-Order Multivariate AD Methods" with Benjamin Altman,

Optimization Methods and Software, Vol. 33, No. 4-6 (special issue: Advances in Algorithmic Differentiation), 2018, pp. 995-1009, (pdf preprint).
MATLAB Forward Corner implementation of direct forward multivariate series.
MATLAB Comparison Test Codes.

"Avoiding Plagiarism in Mathematics"

Math Horizons, Vol. 23, No. 4, April 2016, pp. 16-17,

"A Fair-Bold Gambling Function is Simply Singular"

American Mathematical Monthly, Vol. 123, No. 1, January 2016, pp. 1-18,

"Efficient Recurrence Relations for Univariate and Multivariate Taylor Series Coefficients"

AIMS Conference Publications, 2013, 2013(special), pp. 587-596, doi:10.3934/proc.2013.2013.587.

"A Classroom Note: Newton’s Method Doubles Digit Improvement"

Mathematics and Computer Education, Vol. 48, No. 1, Winter 2014, pp. 19-22. pdf scan

"Introduction to Automatic Differentiation and MATLAB OOP"

SIAM Review, Vol. 52, No. 3, pp. 545-563, Sept. 2010 pdf file.

zip file of accompanying MATLAB m-files.

For MATLAB versions prior to release 2008a, here are older m-files.

"Letter to the Editor: Archimedes, Taylor, and Richardson"

Mathematics Magazine, Vol. 82, No. 1, February 2009, p. 41. pdf preprint

"Problem 200. A Spherical Average

(Characterization of one radian as the average azimuthal (from z-axis) angle over a hemisphere.)

Math Horizons, Vol. 14, September 2006, pp. 41-42 (proposed in Vol. 13, February 2006, p. 33).

"Directions for Computing Truncated Multivariate Taylor Series"

Mathematics of Computation, Vol. 74, No. 249, January 2005, pp. 321-340.  article and MATLAB implementation

"Series as a Computational Differentiation Tool" (compares symbolic vs. automatic differentiation error)

Mathematica in Education and Research, Vol. 9, No. 2, 2000, pp. 5-14.  Mathematica Info. Center download

"Sample Calculus" with Walter G. Spunde,

Mathematics Magazine, Vol. 72, No. 3, June 1999, pp. 171-182. web supplement.

"Infinite Series Supplement for a Differential Equations Course" with Donna K. Molinek,

Davidson College course pack, first version 1999, latest version November 2008 pdf file.

"Mathematica Notebooks for ATLAST"

(Augmenting the Teaching of Linear Algebra through the use of Software Tools) available in Mathematica Info. Center.  These notebooks accompany the book ATLAST Computer Exercises for Linear Algebra.

"Programming Paradigms via Mathematica" with Todd G. Will and John R. Swallow,

in Mathematica Info. Center, originally posted 1998 as Mathematica 2.2 notebooks, later updated to 4.0 notebooks, with contributions by Stephen L. Davis.

"The Road to Chaos is Filled with Polynomial Curves" with R. John Annen III,

American Mathematical Monthly, Vol. 103, No. 8, October 1996, pp. 640-653.  web supplement.

"Recursive Algorithms for IFS Fractals"

Mathematics and Computer Education, Vol. 30, No. 1, Winter 1996, pp. 83-100. pdf scan

"Computing Multivariable Taylor Series to Arbitrary Order"

APL95 Conference Proceedings, APL Quote Quad, Vol. 25, No. 4, June 1995, pp. 134-144. link

"Neural Networks from Idea to Implementation" with Kenneth M. Lane,

APL Quote Quad, Vol. 25, No. 3, March 1995, pp. 27-37.

"Array-Oriented Programming in Education"

APL Quote Quad, Vol. 24, No. 2, December 1993, pages 17-18.

"Differential Equations are Recurrence Relations in APL"

APL92 Conference Proceedings, APL Quote Quad, Vol. 23, No. 1, July 1992, pp. 165-174.

"An Efficient Method for the Numerical Evaluation of Partial Derivatives of Arbitrary Order"

ACM Transactions on Mathematical Software, Vol. 18, No. 2, June 1992, pp. 159-173.

"An APL Approach to Differential Calculus Yields a Powerful Tool"

APL89 Conference Proceedings, APL Quote Quad, Vol. 19, No. 4, August 1989, pp. 285-288.

"Automatic Differentiation and APL"

College Mathematics Journal, Vol. 20, No. 3, May 1989, pp. 238-251.

"Survey on Preparation for Graduate School"

FOCUS, newsletter of the MAA, Vol. 8, No. 4, September, 1988.

"Concepts in the real interpolation of Banach spaces"

Functional Analysis, Lecture Notes in Mathematics, 1332, Springer-Verlag, New York, 1988, pp. 43-53.

"Factoring operators through hereditarily-lp spaces"

Banach Spaces, Lecture Notes in Mathematics, 1166, Springer-Verlag, New York, 1985, 116-128.

"Norm-attainment of linear functionals and characterizations of Tauberian operators" with H. P. Rosenthal,

Pacific Journal of Mathematics, Vol. 118, 1985, pp. 215-228.

"Schachermayer's result concerning RNP and KMP equivalence"

Longhorn Notes, 1983-84, pp. 111-123.

"Characterizing Tauberian operators by closed images" with H. P. Rosenthal,

Longhorn Notes, 1982-83, pp. 211-221.

Neidinger Homepage  Math Homepage  Davidson Homepage

Last updated on Oct. 29, 2022 .