Böcker i Symbolic & Numeric Computation-serien

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.

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.

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.

This text demonstrates how to deal with numerical instabilities (limitations on the size of the problem) that appear in the process of solving discretized equations with marching methods. It also explains the use of linear solvers for nonlinear problems via semi-direct methods.

Offers numerical algorithms and associated software for solving a spectrum of problems in ordinary differential equations, differential algebraic equations, and partial differential equations that occur in science and engineering. This book also presents examples, each including an analysis of a computer code written in transportable Fortran 77.

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.