Chapter 1 Principles of Mathematical Modeling

• Autor principal: Mityushev, Vladimir (auth)
• Otros Autores: Nawalaniec, Wojciech (auth), Rylko, Natalia (auth)
• Formato: Electrónico Capítulo de libro
• Lenguaje: inglés
• Publicado: Taylor & Francis 2018
• Materias: 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
• Acceso en línea: DOAB: download the publication; DOAB: description of the publication

Sumario

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.

Descripción Física

1 electronic resource (25 p.)

ISBN

9781138197657

Acceso

Open Access