Fundamentals of Scientific Computing
(Sprache: Englisch)
This overview conveys the fundamentals of mathematical models, numerical methods and algorithms. Readers will find a tutorial on the most important classes of numerical methods and an introduction to the use of spectral methods as central tools.
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This overview conveys the fundamentals of mathematical models, numerical methods and algorithms. Readers will find a tutorial on the most important classes of numerical methods and an introduction to the use of spectral methods as central tools.
Klappentext zu „Fundamentals of Scientific Computing “
The book of nature is written in the language of mathematics -- Galileo GalileiHow 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®.
Inhaltsverzeichnis zu „Fundamentals of Scientific Computing “
Part I Models and elementary mathematics.- Part II Fundamentals in numerical analysis.- Part III Numerical methods for differential equations.- Part IV Numerical methods for algebraic equations.- Part V Applications.- References.- Index
Autoren-Porträt von Bertil Gustafsson
Top CSE scientist
Bibliographische Angaben
- Autor: Bertil Gustafsson
- 2011, 2011, XIV, 326 Seiten, Masse: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer, Berlin
- ISBN-10: 364219494X
- ISBN-13: 9783642194948
- Erscheinungsdatum: 12.06.2011
Sprache:
Englisch
Rezension zu „Fundamentals of Scientific Computing “
From the reviews:"Scientific computing is considered to comprise mathematical modeling, numerical analysis as well as issues of programming and implementation. Correspondingly, the book introduces all areas required and structures the material in 5 parts, altogether comprising 19 chapters. ... In summary, the books presents the fundamentals of scientific computing in such a way that students from mathematics as well as from science or engineering can benefit." (Gudula Rünger, Zentralblatt MATH, March, 2012)
Pressezitat
From the reviews:"Scientific computing is considered to comprise mathematical modeling, numerical analysis as well as issues of programming and implementation. Correspondingly, the book introduces all areas required and structures the material in 5 parts, altogether comprising 19 chapters. ... In summary, the books presents the fundamentals of scientific computing in such a way that students from mathematics as well as from science or engineering can benefit." (Gudula Rünger, Zentralblatt MATH, March, 2012)
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