Introduction to Mathematical Modeling and Computer Simulations

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Dublin Core

Title

Introduction to Mathematical Modeling and Computer Simulations

Subject

Mathematics

Description

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.

Creator

Mityushev, Vladimir
Nawalaniec, Wojciech

Source

https://library.oapen.org/handle/20.500.12657/47207

Publisher

Taylor & Francis

Date

2018

Contributor

Ani

Rights

https://creativecommons.org/licenses/by-nc-nd/4.0/

Format

Pdf

Language

English

Type

Textbooks

Identifier

ISBN 9781138197657

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