Fundamentals of Scientific Computing: 8 (Texts in Computational Science and Engineering) - Tapa dura

Gustafsson, Bertil

 
9783642194948: Fundamentals of Scientific Computing: 8 (Texts in Computational Science and Engineering)
Tapa dura
ISBN 10: 364219494X ISBN 13: 9783642194948
Editorial: Springer, 2011

Sinopsis

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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Top CSE scientist

De la contraportada

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®.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2011
Idioma
Inglés
ISBN 10 
364219494X
ISBN 13 
9783642194948
Encuadernación
Tapa dura
Número de páginas
340
Contacto del fabricante
no disponible
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Alemania

Otras ediciones populares con el mismo título

9783642268649: Fundamentals of Scientific Computing: 8 (Texts in Computational Science and Engineering)

Edición Destacada

ISBN 10:  3642268641 ISBN 13:  9783642268649
Editorial: Springer, 2013
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