Modeling Information Diffusion in Online Social Networks with Partial Differential Equations, Wang Haiyan, Wang Feng, Xu Kuai
Автор: Strang Название: Differential Equations and Linear Algebra ISBN: 0980232791 ISBN-13(EAN): 9780980232790 Издательство: Cambridge Academ Рейтинг: Цена: 60180.00 T Наличие на складе: Невозможна поставка. Описание: Differential equations and linear algebra are two central topics in the undergraduate mathematics curriculum. This innovative textbook allows the two subjects to be developed either separately or together, illuminating the connections between two fundamental topics, and giving increased flexibility to instructors. It can be used either as a semester-long course in differential equations, or as a one-year course in differential equations, linear algebra, and applications. Beginning with the basics of differential equations, it covers first and second order equations, graphical and numerical methods, and matrix equations. The book goes on to present the fundamentals of vector spaces, followed by eigenvalues and eigenvectors, positive definiteness, integral transform methods and applications to PDEs. The exposition illuminates the natural correspondence between solution methods for systems of equations in discrete and continuous settings. The topics draw on the physical sciences, engineering and economics, reflecting the author's distinguished career as an applied mathematician and expositor.
Автор: Oksendal Название: Stochastic Differential Equations ISBN: 3540047581 ISBN-13(EAN): 9783540047582 Издательство: Springer Рейтинг: Цена: 54820.00 T Наличие на складе: Есть Описание: Gives an introduction to the basic theory of stochastic calculus and its applications. This book offers examples in order to motivate and illustrate the theory and show its importance for many applications in for example economics, biology and physics.
Автор: Oleg Imanuvilov, Guenter Leugering, Roberto Triggi Название: Control Theory of Partial Differential Equations ISBN: 0824725468 ISBN-13(EAN): 9780824725464 Издательство: Taylor&Francis Рейтинг: Цена: 185790.00 T Наличие на складе: Есть Описание: The field of control theory in PDEs has broadened as more realistic models have been introduced and investigated. This book presents a range of developments, discoveries, and mathematical tools in the field. It discusses topics such as elasticity, thermo-elasticity, aero-elasticity and interactions between fluids and elastic structures.
Автор: Eshkabilov Sulaymon L. Название: Practical MATLAB Modeling with Simulink: Programming and Simulating Ordinary and Partial Differential Equations ISBN: 1484257987 ISBN-13(EAN): 9781484257982 Издательство: Springer Рейтинг: Цена: 60550.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Part I: Ordinary Differential EquationsChapter 1: Analytical Solutions of Ordinary Differential EquationsChapter 2: Numerical Methods for First Order ODEsChapter 3: Numerical Methods for Second Order ODEsChapter 4: Stiff ODEsChapter 5: Higher Order and Coupled ODEsChapter 6: Implicit ODEsChapter 7: Comparative Analysis of ODE Solution MethodsPart II: Ordinary Differential Equations-Boundary Value ProblemsChapter 8: Boundary Value ProblemsPart III: Applications of Ordinary Differential EquationsChapter 9: Spring-Mass-Damper SystemsChapter 10: Electro-Mechanical and Mechanical SystemsChapter 11: Trajectory ProblemsChapter 12: Simulation ProblemsPart IV: Partial Differential EquationsChapter 13: Solving Partial Differential Equations
Автор: Peter J. Olver Название: Introduction to Partial Differential Equations ISBN: 3319347446 ISBN-13(EAN): 9783319347448 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: ГЇВїВЅ ГЇВїВЅ This textbook is designed for a one year course covering the fundamentals of partial differential equations, aimed towards advanced undergraduates and beginning graduate students. It features examples and exercises connected to real world problems.
Автор: Kythe, Prem K. Название: Partial differential equations and boundary value problems with Mathematica / ISBN: 1584883146 ISBN-13(EAN): 9781584883142 Издательство: Taylor&Francis Рейтинг: Цена: 148010.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Incorporates the fourth version of the software package Mathematica (4.x). This title includes a section of Mathematica projects in each chapter, a chapter on Green`s functions, a chapter on boundary value problems, and material on inverse operators, Legendre functions, and Bessel functions.
Автор: Morris W. Hirsch Название: Differential Equations, Dynamical Systems, and an Introduction to Chaos ISBN: 0123820103 ISBN-13(EAN): 9780123820105 Издательство: Elsevier Science Рейтинг: Цена: 88690.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Suitable for students in the fields of mathematics, science, and engineering, this title provides a theoretical approach to dynamical systems and chaos. It helps them to analyze the types of differential equations that arise in their area of study.
Автор: Ivo Babuska; Joseph E. Flaherty; William D. Hensha Название: Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations ISBN: 0387945423 ISBN-13(EAN): 9780387945422 Издательство: Springer Рейтинг: Цена: 213360.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The computational solution of partial differential systems has become so involved that it is important to automate decisions that have been left to the individual. This book covers such decisions: mesh generation with links to the software generating the domain geometry; and solution accuracy with mesh selection linked to solution generation.
An introduction to the computer-based modeling of influenza, a continuing major worldwide communicable disease.
The use of (1) as an illustration of a methodology for the computer-based modeling of communicable diseases.
For the purposes of (1) and (2), a basic influenza model is formulated as a system of partial differential equations (PDEs) that define the spatiotemporal evolution of four populations: susceptibles, untreated and treated infecteds, and recovereds. The requirements of a well-posed PDE model are considered, including the initial and boundary conditions. The terms of the PDEs are explained.
The computer implementation of the model is illustrated with a detailed line-by-line explanation of a system of routines in R (a quality, open-source scientific computing system that is readily available from the Internet). The R routines demonstrate the straightforward numerical solution of a system of nonlinear PDEs by the method of lines (MOL), an established general algorithm for PDEs.
The presentation of the PDE modeling methodology is introductory with a minumum of formal mathematics (no theorems and proofs), and with emphasis on example applications. The intent of the book is to assist in the initial understanding and use of PDE mathematical modeling of communicable diseases, and the explanation and interpretation of the computed model solutions, as illustrated with the influenza model.
An introduction to the computer-based modeling of influenza, a continuing major worldwide communicable disease.
The use of (1) as an illustration of a methodology for the computer-based modeling of communicable diseases.
For the purposes of (1) and (2), a basic influenza model is formulated as a system of partial differential equations (PDEs) that define the spatiotemporal evolution of four populations: susceptibles, untreated and treated infecteds, and recovereds. The requirements of a well-posed PDE model are considered, including the initial and boundary conditions. The terms of the PDEs are explained.
The computer implementation of the model is illustrated with a detailed line-by-line explanation of a system of routines in R (a quality, open-source scientific computing system that is readily available from the Internet). The R routines demonstrate the straightforward numerical solution of a system of nonlinear PDEs by the method of lines (MOL), an established general algorithm for PDEs.
The presentation of the PDE modeling methodology is introductory with a minumum of formal mathematics (no theorems and proofs), and with emphasis on example applications. The intent of the book is to assist in the initial understanding and use of PDE mathematical modeling of communicable diseases, and the explanation and interpretation of the computed model solutions, as illustrated with the influenza model.
Автор: Le Dret Hervй, Lucquin Brigitte Название: Partial Differential Equations: Modeling, Analysis and Numerical Approximation ISBN: 3319800663 ISBN-13(EAN): 9783319800660 Издательство: Springer Рейтинг: Цена: 81070.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book is devoted to the study of partial differential equation problems both from the theoretical and numerical points of view. After presenting modeling aspects, it develops the theoretical analysis of partial differential equation problems for the three main classes of partial differential equations: elliptic, parabolic and hyperbolic.
Автор: Nikos I. Kavallaris; Takashi Suzuki Название: Non-Local Partial Differential Equations for Engineering and Biology ISBN: 3319679422 ISBN-13(EAN): 9783319679426 Издательство: Springer Рейтинг: Цена: 107130.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book presents new developments in non-local mathematical modeling and mathematical analysis on the behavior of solutions with novel technical tools.
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