Fundamentals of scientific computing

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 i...

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প্রধান লেখক: Gustafsson, Bertil, 1939-
বিন্যাস: Livre numérique
ভাষা:Anglais
প্রকাশিত: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
মালা:Texts in Computational Science and Engineering 8
অনলাইন ব্যবহার করুন:Accès sur la plateforme de l'éditeur
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টীকা: Description d'après consultation du 18 février 2013
Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Fundamentals of scientific computing, Bertil Gustafsson, Heidelberg, Springer, 2011, 1 vol. (xiii-316 p.), Texts in computational science and engineering, 978-3-642-19494-8
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245 1 0 |a Fundamentals of scientific computing   |c by Bertil Gustafsson. 
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505 1 |a 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 
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506 |a Accès soumis à abonnement pour tout autre établissement 
506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a 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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