Chapter 1 Principles of Mathematical Modeling

• প্রধান লেখক: Mityushev, Vladimir (auth)
• অন্যান্য লেখক: Nawalaniec, Wojciech (auth), Rylko, Natalia (auth)
• বিন্যাস: বৈদ্যুতিক গ্রন্থের অধ্যায়
• ভাষা: ইংরেজি
• প্রকাশিত: Taylor & Francis 2018
• বিষয়গুলি: Mathematics; Number systems; Advanced, Analysis, Applications, Asymptomatic, Principals, Vector, Calculus, Classics, Composites, Computations, Dimensional, Equations, General, Heat, Introduction, Mathematics Mechanical, Methods, Numercal, ODEs, Simulations, Stochastic, Symbolic, Stationary
• অনলাইন ব্যবহার করুন: DOAB: download the publication; DOAB: description of the publication

সংক্ষিপ্ত

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.

দৈহিক বর্ননা

1 electronic resource (25 p.)

আইসবিএন

9781138197657

প্রবেশাধিকার

Open Access