Modelling with the Master Equation Solution Methods and Applications in Social and Natural Sciences /

• Main Author: Haag, Günter (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Subjects: Statistics.; Chemometrics.; Game theory.; System theory.; Regional economics.; Spatial economics.; Emigration and immigration.; Statistics for Social Science, Behavorial Science, Education, Public Policy, and Law.; Regional/Spatial Science.; Migration.; Game Theory, Economics, Social and Behav. Sciences.; Math. Applications in Chemistry.; Complex Systems.

This book presents the theory and practical applications of the Master equation approach, which provides a powerful general framework for model building in a variety of disciplines. The aim of the book is to not only highlight different mathematical solution methods, but also reveal their potential...

Table of Contents:

• Preface
• 1 Introduction
• 2 Statistical Fundamentals
• 3 Derivation of the Chapman-Kolmogorov Equation and the Master Equation
• 4 Solution Methods of Master Equations
• 5 Some Applications in Physics and Chemistry
• 6 The Master Equation in Dynamic Decision Theory
• 7 Applications in Population Dynamics
• 8 Migration
• 9 Urban Dynamics and Transport.