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dc.contributor.authorMityushev, Vladimir
dc.contributor.authorNawalaniec, Wojciech
dc.contributor.authorRylko, Natalia
dc.date.accessioned2021-03-11T09:44:18Z
dc.date.available2021-03-11T09:44:18Z
dc.date.issued2018
dc.identifier.isbn9781138197657en_US
dc.identifier.urihttps://library.oapen.org/handle/20.500.12657/47207
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.en_US
dc.languageEnglishen_US
dc.subject.classificationbic Book Industry Communication::P Mathematics & science::PB Mathematicsen_US
dc.subject.classificationbic Book Industry Communication::P Mathematics & science::PB Mathematics::PBC Mathematical foundations::PBCN Number systemsen_US
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, Stationaryen_US
dc.titleChapter 1 Principles of Mathematical Modelingen_US
dc.typechapter
oapen.relation.isPublishedBy7b3c7b10-5b1e-40b3-860e-c6dd5197f0bben_US
oapen.relation.isPartOfBook65bb0d0f-5cf4-4a63-b1ba-394b9b53b24fen_US
oapen.imprintRoutledgeen_US
oapen.pages25en_US
oapen.remark.publicThis OA chapter is funded by Pedagogical University of Krakow


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