00000cmm a22000004a 4500 UP-99796217611212328 Buklod 20250203115511.0 m go j cr |nu|||auu|a 250203s2011 gw o j eng d 9783642194955 (eBook) 3642194958 (eBook) (iLib)UPD-00215704088 DMLR rda. eng DMLUC QA 76.9 C65 G87 2011eb Gustafsson, Bertil 1930- author. Fundamentals of scientific computing [electronic resource] Bertil Gustafsson. Heidelberg, Germany Springer Berlin 2011. 1 online resource (xiii, 322 pages) illustrations (chiefly color) text rdacontent computer rdamedia online resource rdacarrier Texts in computational science and engineering 8. 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. IP-based subscription, access limited to within on-campus computer network. Access via Electronic Resources of the UPD University Library Website. 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? Electronic reproduction. New York SpringerLink 2011. Available via World Wide Web through SpringerLink. Computer simulation. Computer science Mathematics. Science Methodology. Science Data processing. Electronic Resource Available for UP System via SpringerLink. https://doi.org/10.1007/978-3-642-19495-5 FO UPD DMLR QA 76.9 C65 G87 2011eb Electronic Resource