ENGLISH

Fundamentals of Scientific Computing

By Bertil Gustafsson (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2011
ISBN
364219494X, 9783642194948
DOI
10.1007/978-3-642-19495-5
ISSN
1611-0994
Google Books ID
MwRDmy9uePYC
Language
english
Format
PDF
Filesize
4 MB (3981267 bytes)
Series
Texts in Computational Science and Engineering 8
Edition
1
Pages
326\337
Orientation
yes
Scanned
no
Time added
2012-02-14 18:00:00
Computational Mathematics and Numerical Analysis;C

Description

The book of nature is written in the language of mathematics -- Galileo Galilei How is it possible to predict weather patterns for tomorrow, with access solely to today’s weather data? And how is it possible to predict the aerodynamic behavior of an aircraft that has yet to be built? The answer is computer simulations based on mathematical models – sets of equations – that describe the underlying physical properties. However, these equations are usually much too complicated to solve, either by the smartest mathematician or the largest supercomputer. This problem is overcome by constructing an approximation: a numerical model with a simpler structure can be translated into a program that tells the computer how to carry out the simulation. This book conveys the fundamentals of mathematical models, numerical methods and algorithms. Opening with a tutorial on mathematical models and analysis, it proceeds to introduce the most important classes of numerical methods, with finite element, finite difference and spectral methods as central tools. The concluding section describes applications in physics and engineering, including wave propagation, heat conduction and fluid dynamics. Also covered are the principles of computers and programming, including MATLAB®.

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