I will discuss some recent work on eigenfunction rescaling which provides a fast and efficient method for solving eigenvalue problems on essentially arbitrary domains. This ...

The notebook shows how one can compute residue curve map, pinch point curve and operating leaf for the ternary system: benzene, toluene and p-xylene. Operating leaves are ...

The role of computer algebra systems (CASs) is not limited to analyzing and solving mathematical and physical problems. They have also been used as tools in the development ...

In this paper, a new pseudo-spectral (PS) method is developed for solving op- timal control problems governed by the non-linear Volterra integral equation (VIE). The novel ...

This example illustrates both the modeling power of Mathematica and the solver quality of LGO. For a given triangle, we wish to maximize the radius of equal-size, ...

This problem was presented in the excellent book by W. F. Ramirez, Computational Methods for Process Simulation, Second Edition, 1997, Butterworth Heinemann, Oxford. Here, we ...

In the previous issue of this journal, we saw how the heat equation in one dimension found a noteworthy application in economics, therein providing a bridge from the physical ...

In many binary star systems, the primary star is a compact object such as a black hole, a neutron star, or white dwarf. If the objects are close enough, and the secondary ...

Finding an entire set of solutions for simple trigonometric equations.