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dc.contributor.authorMityushev, Vladimir
dc.contributor.authorNawalaniec, Wojciech
dc.contributor.authorRylko, Natalia
dc.date.accessioned2021-03-12T03:00:15Z
dc.date.available2021-03-12T03:00:15Z
dc.date.issued2018
dc.date.submitted2021-03-11T09:44:18Z
dc.identifierhttps://library.oapen.org/handle/20.500.12657/47207
dc.identifier.urihttps://directory.doabooks.org/handle/20.500.12854/63980
dc.description.abstractMathematical Modeling describes a process and an object by use of the mathematical language. A process or an object is presented in a "pure form" in Mathematical Modeling when external perturbations disturbing the study are absent. Computer simulation is a natural continuation of the Mathematical Modeling. Computer simulation can be considered as a computer experiment which corresponds to an experiment in the real world. Such a treatment is rather related to numerical simulations. Symbolic simulations yield more than just an experiment. Mathematical Modeling of stochastic processes is based on the probability theory, in particular, that leads to using of random walks, Monte Carlo methods and the standard statistics tools. Symbolic simulations are usually realized in the form of solution to equations in one unknown, to a system of linear algebraic equations, both ordinary and partial differential equations (ODE and PDE). Various mathematical approaches to stability are discussed in courses of ODE and PDE.
dc.languageEnglish
dc.rightsopen access
dc.subject.otherAdvanced, Analysis, Applications, Asymptomatic, Principals, Vector, Calculus, Classics, Composites, Computations, Dimensional, Equations, General, Heat, Introduction, Mathematics Mechanical, Methods, Numercal, ODEs, Simulations, Stochastic, Symbolic, Stationary
dc.subject.otherthema EDItEUR::P Mathematics and Science::PB Mathematics
dc.subject.otherthema EDItEUR::P Mathematics and Science::PB Mathematics::PBC Mathematical foundations::PBCN Number systems
dc.titleChapter 1 Principles of Mathematical Modeling
dc.typechapter
oapen.relation.isPublishedByfa69b019-f4ee-4979-8d42-c6b6c476b5f0
oapen.relation.isPartOfBookIntroduction to Mathematical Modeling and Computer Simulations
oapen.relation.isbn9781138197657
oapen.imprintRoutledge
oapen.pages25


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