Fundamentals of Scientific Computing is popular PDF and ePub book, written by Bertil Gustafsson in 2011-06-11, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Fundamentals of Scientific Computing can be Read Online from any device for your convenience.
Fundamentals of Scientific Computing Book PDF Summary
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®.
Detail Book of Fundamentals of Scientific Computing PDF
- Author : Bertil Gustafsson
- Release : 11 June 2011
- Publisher : Springer Science & Business Media
- ISBN : 9783642194955
- Genre : Mathematics
- Total Page : 317 pages
- Language : English
- PDF File Size : 17,5 Mb
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