Books in the Symbolic & Numeric Computation series

Illustrates the use of Laplace, Fourier, and Hankel transforms to solve partial differential equations encountered in science and engineering. This edition provides a broader perspective on the applicability and use of transform methods. It offers a step-by-step analysis of problems taken from the actual scientific and engineering literature.

Many engineering and mathematics graduate curricula include a course in boundary element methods. Such a course must cover numerical methods, basic methodology to real problems, and interactive computer usage. This textbook provides both theory and applications, necessary for applied courses.

This book considers conservative finite-difference schemes on grids of arbitrary structure to be a discrete model of the continuum physical system. It deals with the construction of finite-difference algorithms for elliptic or steady-state, parabolic or diffusion, and gas dynamics equations.

A library of computer programs written in C language, that allows readers to solve numerical problems in areas of linear algebra, ordinary and partial differential equations, optimization, parameter estimation, and special functions of mathematical physics. It suitable for computer scientists, engineers, and applied mathematicians.