Bertil Gustafsson

(Author)

Fundamentals of Scientific ComputingHardcover, 12 June 2011

Fundamentals of Scientific Computing
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Part of Series
Texts in Computational Science and Engineering
Print Length
326 pages
Language
English
Publisher
Springer
Date Published
12 Jun 2011
ISBN-10
364219494X
ISBN-13
9783642194948

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(R).

Product Details

Author:
Bertil Gustafsson
Book Format:
Hardcover
Country of Origin:
NL
Date Published:
12 June 2011
Dimensions:
23.37 x 15.49 x 2.29 cm
ISBN-10:
364219494X
ISBN-13:
9783642194948
Language:
English
Location:
Berlin, Heidelberg
Pages:
326
Publisher:
Weight:
612.35 gm

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