The Takagi-Taupin equations are a set of partial differential equations that are fundamental in the dynamical theory of x-ray diffraction. We show how they can be manipulated ...

Starting from governing differential equations, this book uses a unique and consistently weighted residual approach to present advanced topics in finite element analysis of ...

Virtually any external Fortran or C library routine can be imported into Mathematica using the InterCall package. For this to work, however, a default setting must be ...

This book gives a general introduction to the most recent versions of Mathematica. It emphasizes graphics, methods of applied mathematics and statistics, and programming. ...

In this paper, we present an efficient numerical algorithm for solving singular two-point linear and non-linear problems, which is based on the Modified Adomian Decomposition ...

This paper will discuss three elliptic partial differential equation (EPDE) solvers for the following linear boundary value problem (BVP): a This problem is approximated by ...

The increasing number and variety of extrasolar planets illustrates the importance of characterizing planetary perturbations. Planetary orbits are typically described by ...

The notebook computes isothermal and nonisothermal effectiveness factors. Expressions of isothermal effectiveness factor for porous spheres, slabs and cylinders are derived ...

We used a tool of conventional Nikiforov-Uvarov method to determine bound state solutions of Schrodinger equation with quantum interaction potential called Hulthen-Yukawa ...

Symbolic approximations based on series expansions can be improved by resummation techniques. A heuristic algorithm developed in the field of combinatorics is examined from ...