Authors: Danaila, Ionut Joly, Pascal Kaber, Sidi Mahmoud Po
Pages: 294
Publisher: Unknow
ISBN13: 9780387308890
Teaching or learning numerical methods in applied mathematics cannot b
conceived nowadays without numerical experimentation on computers. Ther
is a vast literature devoted either to theoretical numerical methods or nu
merical programming of basic algorithms, but there are few texts offering
complete discussion of numerical issues involved in the solution of concret
and relatively complex problems. This book is an attempt to fill this need
It is our belief that advantages and drawbacks of a numerical method canno
be accounted for without one’s experiencing all the steps of scientific compu
ing, from physical and mathematical description of the problem to numerica
formulation and programming and, finally, to critical discussion of numerica
results.
The book provides twelve computational projects aimed at numericall
solving problems selected to cover a broad spectrum of applications, from
fluid mechanics, chemistry, elasticity, thermal science, computer-aided design
signal and image processing, etc. Even though the main volume of this tex
concerns the numerical analysis of computational methods and their imple
mentation, we have tried to start, when possible, from realistic problems o
practical interest for researchers and engineers.
For each project, an introductory record card summarizes the mathema
ical and numerical topics explained and the fields of application of the ap
proach. A level of difficulty, scaling from 1 to 3, is assigned to each projec
Most of the projects are of level 1 or 2 and can be easily tackled; the reade
will no doubt realize that projects of level 3 require a solid background i
both numerical analysis and computational techniques.