This textbook on mathematical methods of physics is designed for a one-semester graduate or two-semester advanced undergraduate course. Formal methods are supplemented by ...

Mathematica 10 introduced a number of powerful functions for region based computation. NDSolve can now solve PDE's over arbitrary regions but currently built-in methods ...

The present paper describes the arc-length continuation method; a mathematical technique that can solve a wide variety of chemical engineering problems. Several case studies ...

An elegant recursive method for getting large integers that are certifiably prime outperforms traditional ways of generating mere "probable primes".

The K distribution has proven to be a promising and useful model for backscattering statistics in synthetic aperture radar (SAR) imagery. However, most studies to date have ...

A combined analytic and Mathematica-based numerical approach to the solution of common applied mathematics problems in physics and engineering. This is a 2-quarter course ...

We develop routines in Mathematica for pricing various European and American options using the binary option model and Monte Carlo methods.

Contains 24 modules on the computational methods used in an introductory physics course. The material is suitable for self-study or as a supplement to lecture classes.

This paper treats the industrial application of computer-algebra simulation (CALS). CALS is a combination of symbolic and numeric methods, which is very well suited for ...

The O(h^4) finite-difference scheme for the second derivative u^n(x) leads to a coherent pentadiagonal matrix which is factorized into two tridiagonal matrices. This ...