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

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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Haag, Günter (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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040 |d GrThAP 
100 1 |a Haag, Günter.  |e author. 
245 1 0 |a Modelling with the Master Equation  |h [electronic resource] :  |b Solution Methods and Applications in Social and Natural Sciences /  |c by Günter Haag. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2017. 
300 |a XXV, 342 p. 109 illus., 19 illus. in color.  |b online resource. 
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337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
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505 0 |a 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. 
520 |a 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 by means of practical examples. Part I of the book, which can be used as a toolbox, introduces selected statistical fundamentals and solution methods for the Master equation. In Part II and Part III, the Master equation approach is applied to important applications in the natural and social sciences. The case studies presented mainly hail from the social sciences, including urban and regional dynamics, population dynamics, dynamic decision theory, opinion formation and traffic dynamics; however, some applications from physics and chemistry are treated as well, underlining the interdisciplinary modelling potential of the Master equation approach. Drawing upon the author’s extensive teaching and research experience and consulting work, the book offers a valuable guide for researchers, graduate students and professionals alike. 
650 0 |a Statistics. 
650 0 |a Chemometrics. 
650 0 |a Game theory. 
650 0 |a System theory. 
650 0 |a Regional economics. 
650 0 |a Spatial economics. 
650 0 |a Emigration and immigration. 
650 1 4 |a Statistics. 
650 2 4 |a Statistics for Social Science, Behavorial Science, Education, Public Policy, and Law. 
650 2 4 |a Regional/Spatial Science. 
650 2 4 |a Migration. 
650 2 4 |a Game Theory, Economics, Social and Behav. Sciences. 
650 2 4 |a Math. Applications in Chemistry. 
650 2 4 |a Complex Systems. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783319602998 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-60300-1  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)