Download or read book Graphical Analysis of Certain Diffusion Problems written by Wylie C. Kirkpatrick and published by . This book was released on 1947 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Mathematics of Diffusion written by John Crank and published by Oxford University Press. This book was released on 1979 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Though it incorporates much new material, this new edition preserves the general character of the book in providing a collection of solutions of the equations of diffusion and describing how these solutions may be obtained.
Download or read book Spatial Ecology via Reaction Diffusion Equations written by Robert Stephen Cantrell and published by John Wiley & Sons. This book was released on 2004-01-09 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many ecological phenomena may be modelled using apparently random processes involving space (and possibly time). Such phenomena are classified as spatial in their nature and include all aspects of pollution. This book addresses the problem of modelling spatial effects in ecology and population dynamics using reaction-diffusion models. * Rapidly expanding area of research for biologists and applied mathematicians * Provides a unified and coherent account of methods developed to study spatial ecology via reaction-diffusion models * Provides the reader with the tools needed to construct and interpret models * Offers specific applications of both the models and the methods * Authors have played a dominant role in the field for years Essential reading for graduate students and researchers working with spatial modelling from mathematics, statistics, ecology, geography and biology.
Download or read book Modeling Information Diffusion in Online Social Networks with Partial Differential Equations written by Haiyan Wang and published by Springer Nature. This book was released on 2020-03-16 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book lies at the interface of mathematics, social media analysis, and data science. Its authors aim to introduce a new dynamic modeling approach to the use of partial differential equations for describing information diffusion over online social networks. The eigenvalues and eigenvectors of the Laplacian matrix for the underlying social network are used to find communities (clusters) of online users. Once these clusters are embedded in a Euclidean space, the mathematical models, which are reaction-diffusion equations, are developed based on intuitive social distances between clusters within the Euclidean space. The models are validated with data from major social media such as Twitter. In addition, mathematical analysis of these models is applied, revealing insights into information flow on social media. Two applications with geocoded Twitter data are included in the book: one describing the social movement in Twitter during the Egyptian revolution in 2011 and another predicting influenza prevalence. The new approach advocates a paradigm shift for modeling information diffusion in online social networks and lays the theoretical groundwork for many spatio-temporal modeling problems in the big-data era.
Download or read book Graph Analysis and Visualization written by Richard Brath and published by John Wiley & Sons. This book was released on 2015-01-20 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wring more out of the data with a scientific approach to analysis Graph Analysis and Visualization brings graph theory out of the lab and into the real world. Using sophisticated methods and tools that span analysis functions, this guide shows you how to exploit graph and network analytic techniques to enable the discovery of new business insights and opportunities. Published in full color, the book describes the process of creating powerful visualizations using a rich and engaging set of examples from sports, finance, marketing, security, social media, and more. You will find practical guidance toward pattern identification and using various data sources, including Big Data, plus clear instruction on the use of software and programming. The companion website offers data sets, full code examples in Python, and links to all the tools covered in the book. Science has already reaped the benefit of network and graph theory, which has powered breakthroughs in physics, economics, genetics, and more. This book brings those proven techniques into the world of business, finance, strategy, and design, helping extract more information from data and better communicate the results to decision-makers. Study graphical examples of networks using clear and insightful visualizations Analyze specifically-curated, easy-to-use data sets from various industries Learn the software tools and programming languages that extract insights from data Code examples using the popular Python programming language There is a tremendous body of scientific work on network and graph theory, but very little of it directly applies to analyst functions outside of the core sciences – until now. Written for those seeking empirically based, systematic analysis methods and powerful tools that apply outside the lab, Graph Analysis and Visualization is a thorough, authoritative resource.
Download or read book Robotic Intelligence written by Sheu Phillip Chen-yu and published by World Scientific. This book was released on 2019-03-06 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume aims to provide a reference to the development of robotic intelligence, built upon Semantic Computing, in terms of 'action' to realize the 'context' and 'intention' formulated by Semantics Computing during the 'thinking' or reasoning process. It addresses three core areas:
Download or read book Handbook of Ordinary Differential Equations written by Andrei D. Polyanin and published by CRC Press. This book was released on 2017-11-15 with total page 1584 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems, is an exceptional and complete reference for scientists and engineers as it contains over 7,000 ordinary differential equations with solutions. This book contains more equations and methods used in the field than any other book currently available. Included in the handbook are exact, asymptotic, approximate analytical, numerical symbolic and qualitative methods that are used for solving and analyzing linear and nonlinear equations. The authors also present formulas for effective construction of solutions and many different equations arising in various applications like heat transfer, elasticity, hydrodynamics and more. This extensive handbook is the perfect resource for engineers and scientists searching for an exhaustive reservoir of information on ordinary differential equations.
Download or read book Analysis and Partial Differential Equations on Manifolds Fractals and Graphs written by Alexander Grigor'yan and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-01-18 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book covers the latest research in the areas of mathematics that deal the properties of partial differential equations and stochastic processes on spaces in connection with the geometry of the underlying space. Written by experts in the field, this book is a valuable tool for the advanced mathematician.
Download or read book Spectral Analysis Differential Equations and Mathematical Physics A Festschrift in Honor of Fritz Gesztesy s 60th Birthday written by Helge Holden and published by American Mathematical Soc.. This book was released on 2013-07-08 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains twenty contributions in the area of mathematical physics where Fritz Gesztesy made profound contributions. There are three survey papers in spectral theory, differential equations, and mathematical physics, which highlight, in particu
Download or read book Solutions of Certain Diffusion Problems written by Gale Jay Young and published by . This book was released on 1936 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Bifurcation Analysis for Reaction Diffusion Equations written by Zhen Mei and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is the first to provide readers with numerical tools for a systematic analysis of bifurcation problems in reaction-diffusion equations. Many examples and figures illustrate analysis of bifurcation scenario and implementation of numerical schemes. Readers will gain a thorough understanding of numerical bifurcation analysis and the necessary tools for investigating nonlinear phenomena in reaction-diffusion equations.
Download or read book Variational and Diffusion Problems in Random Walk Spaces written by José M. Mazón and published by Springer Nature. This book was released on 2023-08-04 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the latest developments in the theory of gradient flows in random walk spaces. A broad framework is established for a wide variety of partial differential equations on nonlocal models and weighted graphs. Within this framework, specific gradient flows that are studied include the heat flow, the total variational flow, and evolution problems of Leray-Lions type with different types of boundary conditions. With many timely applications, this book will serve as an invaluable addition to the literature in this active area of research. Variational and Diffusion Problems in Random Walk Spaces will be of interest to researchers at the interface between analysis, geometry, and probability, as well as to graduate students interested in exploring these areas.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1992 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Selected Water Resources Abstracts written by and published by . This book was released on 1990 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Functions of Matrices written by Nicholas J. Higham and published by SIAM. This book was released on 2008-01-01 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough and elegant treatment of the theory of matrix functions and numerical methods for computing them, including an overview of applications, new and unpublished research results, and improved algorithms. Key features include a detailed treatment of the matrix sign function and matrix roots; a development of the theory of conditioning and properties of the Fre;chet derivative; Schur decomposition; block Parlett recurrence; a thorough analysis of the accuracy, stability, and computational cost of numerical methods; general results on convergence and stability of matrix iterations; and a chapter devoted to the f(A)b problem. Ideal for advanced courses and for self-study, its broad content, references and appendix also make this book a convenient general reference. Contains an extensive collection of problems with solutions and MATLAB implementations of key algorithms.
Download or read book Technical Translations written by and published by . This book was released on 1963 with total page 1004 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Data Analytics on Graphs written by Ljubisa Stankovic and published by . This book was released on 2020-12-22 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at readers with a good grasp of the fundamentals of data analytics, this book sets out the fundamentals of graph theory and the emerging mathematical techniques for the analysis of a wide range of data acquired on graph environments. This book will be a useful friend and a helpful companion to all involved in data gathering and analysis.
