Optimization problems arise very naturally in many different disciplines. A structural engineer designing a multistory building must choose materials and proportions for ...

In this paper, we describe a general family of iterative methods for approximating a multiple root z with multiplicity m of a complex defined function. Almost of the family ...

Organized for use in a lecture-and-computer-lab format, this hands-on book presents the finite element method (FEM) as a tool to find approximate solutions of differential ...

Useful as a tutorial as well as a handbook. Provides readers with a general introduction to Mathematica, with emphasis on graphics, methods of applied mathematics, and ...

In this talk, we will present a report on the progress of development of a Mathematica-based package for design and an analysis of large-scale control systems in standard ...

In 1951, Alan J. Hoffman provided the first example that demonstrated that Dantzig's simplex method for linear programming can cycle (unless special precautions are taken). ...

A novel analysis method has been developed with the goal of providing accurate assessments of the forces that can delaminate composite laminates and bonded structures. The ...

A simple and elementary proof of Butcher's theorem on the order conditions of Runge-Kutta methods is presented. It is based on a recursive definition of rooted trees and ...

The method of external source collocation is used to solve a discretised boundary value problem, ∇2U=0, where U is the potential in a two-dimensional simply-connected ...

We describe a variety of new methods for accelerating construction of the Coulomb matrix that are based upon a simplified representation of the electron charge density. ...