000 03461nam a22005535i 4500
001 978-3-642-19495-5
003 DE-He213
005 20140220083756.0
007 cr nn 008mamaa
008 110610s2011 gw | s |||| 0|eng d
020 _a9783642194955
_9978-3-642-19495-5
024 7 _a10.1007/978-3-642-19495-5
_2doi
050 4 _aQA71-90
072 7 _aPBKS
_2bicssc
072 7 _aMAT006000
_2bisacsh
082 0 4 _a518
_223
082 0 4 _a518
_223
100 1 _aGustafsson, Bertil.
_eauthor.
245 1 0 _aFundamentals of Scientific Computing
_h[electronic resource] /
_cby Bertil Gustafsson.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2011.
300 _aXIV, 326 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aTexts in Computational Science and Engineering,
_x1611-0994 ;
_v8
505 0 _aPart 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.
520 _aThe 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®.
650 0 _aMathematics.
650 0 _aComputer simulation.
650 0 _aBiology
_xData processing.
650 0 _aComputer science
_xMathematics.
650 0 _aComputer science.
650 0 _aEngineering mathematics.
650 1 4 _aMathematics.
650 2 4 _aComputational Mathematics and Numerical Analysis.
650 2 4 _aComputational Science and Engineering.
650 2 4 _aComputer Appl. in Life Sciences.
650 2 4 _aAppl.Mathematics/Computational Methods of Engineering.
650 2 4 _aNumerical and Computational Physics.
650 2 4 _aSimulation and Modeling.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642194948
830 0 _aTexts in Computational Science and Engineering,
_x1611-0994 ;
_v8
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-19495-5
912 _aZDB-2-SMA
999 _c107565
_d107565