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Modelling with the master equation = solution methods and applications in social and natural sciences /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Modelling with the master equation/ by Gunter Haag.
其他題名:	solution methods and applications in social and natural sciences /
作者:	Haag, Gunter.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	xxv, 342 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Mathematical models. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-60300-1
ISBN:	9783319603001

Modelling with the master equation = solution methods and applications in social and natural sciences /
Haag, Gunter.

Modelling with the master equationsolution methods and applications in social and natural sciences /[electronic resource] :by Gunter Haag. - Cham :Springer International Publishing :2017. - xxv, 342 p. :ill., digital ;24 cm.

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.

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.

ISBN: 9783319603001

Standard No.: 10.1007/978-3-319-60300-1doiSubjects--Topical Terms:

527886
Mathematical models.

LC Class. No.: QA401

Dewey Class. No.: 511.8

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