This letter considers to Jimbo-Miwa equations and the Fordy- Gibbons-Jimbo-Miwa equation in their bilinear form. Three soluton solutions to these equations are explicitly ...

Procrustes method is a very effective method to solve the parameter estimation problem for Helmert coordinate transformation, because it requires neither initial start values ...

We implement a Gauss-Newton method for fitting a specified nonlinear model to observed values by using iterative linear-regression steps to reduce the sum-of-squares error ...

This paper concentrates on iterative methods for obtaining the multiple roots of nonlinear equations. Using the computer algebra system Mathematica, we construct an iterative ...

Quasi-Monte Carlo methods are finding a wider use in recent applications from computational finance. Their use is applied to a problem from option pricing.

The author shows how one can compute the concentration profile and mass flux for the unsteady diffusion problem in spherical coordinates. Two methods are used for this ...

Our graduate Symbolic Modeling class, taught by Dr. Willy Hereman, was assigned the task of comparing various methods of calculating the value of pi using Mathematica. The ...

A package of programs written using the symbolic mathematics program, Mathematica ®, has been developed. Its principal usage is in teaching the LIMM method to students ...

One of the well-established analytical techniques for solving engineering vibration problems, which are represented by ordinary differential equations, is the method of ...

This paper presents the application of the refined least squares method. The refinement makes it possible to solve problems with not only boundary, but also initial and ...