TY - BOOK ID - 85288152 TI - Introduction to mathematical modeling and computer simulations AU - Mityushev, Vladimir V. AU - Nawalaniec, Wojciech AU - Rylko, Natalia PY - 2018 SN - 1351998765 1315277247 1351998757 1138197653 PB - Taylor & Francis DB - UniCat KW - Computer simulation. KW - Mathematical models. KW - Models, Mathematical KW - Simulation methods KW - Computer modeling KW - Computer models KW - Modeling, Computer KW - Models, Computer KW - Simulation, Computer KW - Electromechanical analogies KW - Mathematical models KW - Model-integrated computing KW - Advanced, Analysis, Applications, Asymptomatic, Principals, Vector, Calculus, Classics, Composites, Computations, Dimensional, Equations, General, Heat, Introduction, Mathematics Mechanical, Methods, Numercal, ODEs, Simulations, Stochastic, Symbolic, Stationary UR - https://www.unicat.be/uniCat?func=search&query=sysid:85288152 AB - 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. ER -