000 03843nam a22005415i 4500
001 978-3-642-39524-6
003 DE-He213
005 20140220082519.0
007 cr nn 008mamaa
008 131024s2014 gw | s |||| 0|eng d
020 _a9783642395246
_9978-3-642-39524-6
024 7 _a10.1007/978-3-642-39524-6
_2doi
050 4 _aQA71-90
072 7 _aPDE
_2bicssc
072 7 _aCOM014000
_2bisacsh
072 7 _aMAT003000
_2bisacsh
082 0 4 _a004
_223
100 1 _aBungartz, Hans-Joachim.
_eauthor.
245 1 0 _aModeling and Simulation
_h[electronic resource] :
_bAn Application-Oriented Introduction /
_cby Hans-Joachim Bungartz, Stefan Zimmer, Martin Buchholz, Dirk Pflüger.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2014.
300 _aXIV, 413 p. 158 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Undergraduate Texts in Mathematics and Technology,
_x1867-5506
505 0 _a1 Introduction -- 2 The necessary instruments in brief -- Part I Playing – deciding – planning: A modeling warm-up -- 3 Game theory -- 4 Group decisions -- 5 Schedules -- 6 Wiener processes -- Part II Traffic on highways and data highways: A trip through the simulation pipeline -- 7 Macroscopic simulation of traffic -- 8 Microscopic simulation of traffic -- 9 Stochastic traffic simulations -- Part III Dynamic systems: Cause, effect and interaction -- 10 Population dynamics -- 11 Controllers -- 12 Chaos theory -- Part IV Physics on the computer: The switch to number crunchers -- 13 Molecular dynamics -- 14 Thermal conduction -- 15 Fluid mechanics -- 16 Global illumination in computer graphics -- Closing remarks -- Bibliography -- Index.
520 _aThis book provides an introduction to mathematical and computer-oriented modeling and to simulation as a universal methodology. It therefore addresses various model classes and their derivations. And it demonstrates the diversity of approaches that can be taken: be it discrete or continuous, deterministic or stochastic. A common underlying theme throughout the book are the means in which one obtains practical simulation results from these different abstract models.   Subsequent to a brief review of the mathematical tools that are required, the concept of the simulation pipeline, "from model derivation to the simulation", is applied to 14 example scenarios from diverse fields such as "Game theory - deciding - planning", "Traffic on highways and data highways", "Dynamical systems" and "Physics in the computer".   Whether it is game theory or mathematical finance, traffic or control theory, population dynamics or chaos, or molecular dynamics, continuum mechanics or computer graphics - the reader gains insight into the world of simulation in a descriptive yet systematic way.
650 0 _aMathematics.
650 0 _aComputer simulation.
650 0 _aComputer science
_xMathematics.
650 0 _aComputer science.
650 1 4 _aMathematics.
650 2 4 _aComputational Science and Engineering.
650 2 4 _aComputational Mathematics and Numerical Analysis.
650 2 4 _aMathematical Modeling and Industrial Mathematics.
650 2 4 _aSimulation and Modeling.
700 1 _aZimmer, Stefan.
_eauthor.
700 1 _aBuchholz, Martin.
_eauthor.
700 1 _aPflüger, Dirk.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642395239
830 0 _aSpringer Undergraduate Texts in Mathematics and Technology,
_x1867-5506
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-39524-6
912 _aZDB-2-SMA
999 _c93328
_d93328