A symmetric real matrix admits only real eigenvalues. We show how one can find these eigenvalues as well as their corresponding eigenvectors without using Mathematica's ...

The internal and external Robin problems for the Laplace equation in bounded starlike domains are addressed. We show how to derive the relevant solutions by using a suitable ...

The R-matrix method, introduced by Wigner and Eisenbud (1947) [1], has been applied to a broad range of electron transport problems in nanoscale quantum devices. With the ...

This talk will give an overview for solving differential algebraic equations (DAEs) using NDSolve. Unlike ODEs, the solution of DAEs require a number of pre-processing steps ...

This book provides a complete and exhaustive study of the Green’s functions. Professor Cabada first proves the basic properties of Green's functions and discusses the study ...

DSolve has received a substantial upgrade for Mathematica 10. For the first time, symbolic solutions to hybrid differential equations with events and delay differential ...

Mathematica 10 introduced system-wide support for computation with geometric regions. The latest release (10.3) brings significant improvements in symbolic computation with ...

Topological conjugacy is the natural notion of isomorphism in topological dynamics. It can be used as a very fine grained classification scheme for cellular automata. In this ...

In this book, origami is treated as a set of basic geometrical objects that are represented and manipulated symbolically and graphically by computers. Focusing on how ...

The synergetic effect of multiple corrosive chemicals in concrete structures has been investigated using a mathematical model with a set of one-dimensional linear diffusion ...