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 ...
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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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Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Published:
2011
Language:
English
Alibris ID:
11540995824
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Standard Shipping: $4.64
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Seller's Description:
New. 326 p. Texts in Computational Science and Engineering , 8. 10 Tables, black and white; XIV, 326 p. Intended for professional and scholarly audience.
Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Published:
2011
Language:
English
Alibris ID:
17608921250
Shipping Options:
Standard Shipping: $4.64
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. Texts in Computational Science and Engineering . XIV, 326 p. Intended for professional and scholarly audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
