The book contains an extensive illustration of use of finite difference method in solving the boundary value problem numerically. A wide class of differential equations has ...

Several enhancements have been made to Mathematica's symbolic differential equation solver, DSolve, which allow us to handle wider classes of Abel ODEs and ...

Laplace's equation can be solved numerically and very conveniently with Mathematica by the use of symbolic interpolation. Here we solve Laplace's equation in two dimensions ...

Students will be able to describe the steps needed to create a Cumulative Relative Frequency Charts and create a Cumulative Relative Frequency Chart from data provided.This ...

This notebook contains an implementation of the Conti-Traverso algorithm (1991) for solving problems in Integer Programming by the Groebner Basis method. A new function ...

Symmetries form the basis of the packages DSolve and PDSolve1. A knowledge of symmetries facilitates the understanding and analysis of solutions of differential equations and ...

Numerical integral equations NIntegrateSolve solves a linear Fredholm second kind one- dimensional integral equation on an interval with rather smooth both kernel and free ...

Numerically solving an elliptic partial differential equation often requires solving a very large, but sparse, linear system. This notebook contains an example in which ...

The paper describes a project for creating an electronic reference source for ordinary differential equations based on Mathematica front-end and kernel functionality. ...

This work was presented at ICMS, Castro Urdiales, Spain, September 2, 2006. The article is a longer version, containing a code appendix. As there have been some code ...