Introduction to Mathematical Modeling and Computer Simulations

ISBN-13: 9781032095752 / Angielski / Miękka / 2021 / 474 str.

Wojciech Nawalaniec; Natalia Rylko

Opis

This textbook is intended for readers who want to understand the main principles of Modeling and Simulations in settings that are important for the applications, without using profound mathematical tools required by most advanced texts.

Spis treści

General Principles and Methods. Principals of Mathematical Modeling. Numerical and Symbolic Computations.

Basic Applications. Application of Calculus to Classic Mechanics. ODE's and their Applications. Stochastic Models. One-dimensional Stationary Problems.

Advanced Applications. Vector Analysis. Heat Equation. Asymptotic Methods in Composites.

O autorze

Dr. Natalia Rylko and Dr. Wojciech Nawalaniec are members of the scientific group headed by Vladimir Mityushev, Professor of the Pedagogical University of Krakow, Poland. Their academic and scientific activity is based on interdisciplinary international research devoted to applied mathematics and computer simulations. The main scientific achievements of the group concern random composites and porous media, analytical formulae for the effective properties of regular and random composites, pattern formation, and the collective behaviour of bacteria.