Chapter 1 Principles of Mathematical Modeling

• Tác giả chính: Mityushev, Vladimir (auth)
• Tác giả khác: Nawalaniec, Wojciech (auth), Rylko, Natalia (auth)
• Định dạng: Điện tử Chương của sách
• Ngôn ngữ: Tiếng Anh
• Được phát hành: Taylor & Francis 2018
• Những chủ đề: 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
• Truy cập trực tuyến: DOAB: download the publication; DOAB: description of the publication

Tóm tắt

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.

Mô tả vật lý

1 electronic resource (25 p.)

số ISBN

9781138197657

Truy cập

Open Access