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Chapter 1 Principles of Mathematical Modeling

Mathematical 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 Mo...

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Wedi'i Gadw mewn:
Prif Awduron: Mityushev, Vladimir, Nawalaniec, Wojciech, Rylko, Natalia
Fformat: Online
Iaith:Saesneg
Cyhoeddwyd: Taylor & Francis 2021
Pynciau:
Advanced, Analysis, Applications, Asymptomatic, Principals, Vector, Calculus, Classics, Composites, Computations, Dimensional, Equations, General, Heat, Introduction, Mathematics Mechanical, Methods, Numercal, ODEs, Simulations, Stochastic, Symbolic, Stationary
thema EDItEUR::P Mathematics and Science::PB Mathematics
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBC Mathematical foundations::PBCN Number systems
Mynediad Ar-lein:https://library.oapen.org/handle/20.500.12657/47207
Tagiau: Ychwanegu Tag
Dim Tagiau, Byddwch y cyntaf i dagio'r cofnod hwn!
Crynodeb:Mathematical 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.

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