A First Course in Numerical Methods with “Mathematica“

Authors: Andrei A. Kolyshkin

Abstract:

In the present paper some recommendations for the use of software package “Mathematica" in a basic numerical analysis course are presented. The methods which are covered in the course include solution of systems of linear equations, nonlinear equations and systems of nonlinear equations, numerical integration, interpolation and solution of ordinary differential equations. A set of individual assignments developed for the course covering all the topics is discussed in detail.

Keywords: Numerical methods, "Mathematica", e-learning.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1057277

References:

[1] D. Dubic, Numerical and analytical methods for scientists and engineers using Mathematica. New York: Wiley, 2003.
[2] C.-L. Sandblom, Practical optimization methods with Mathematica applications. New York: Springer, 2000.
[3] http://numericalmethods.eng.usf.edu/nbm
[4] http://math.fullerton.edu/mathnews/n2003/Web/NumericalModels.html
[5] G.H. Golub, and C.F. Van Loan, Matrix computations. New York: The Johns Hopkins University Press, 1996.
[6] R.A. Horn, and C.R. Johnson, Matrix analysis. London: The Cambridge University Press, 1985.