The revised and updated second edition of this textbook teaches students to create modeling codes used to analyze, design, and optimize structures and systems used in wireless communications, microwave circuits, and other applications of electromagnetic fields and waves. Worked code examples are provided for key algorithms using the MATLAB technical computing language.
The book begins by introducing the field of numerical analysis and providing an overview of the fundamentals of electromagnetic field theory. Further chapters cover basic numerical tasks, finite difference methods, numerical integration, integral equations and the method of moments, solving linear systems, the finite element method, optimization methods, and inverse problems.
Developing and using numerical methods helps students to learn the theory of wave propagation in a concrete, visual, and hands-on way. This book fills the missing space of current textbooks that either lack depth on key topics or treat the topic at a level that is too advanced for undergraduates or first-year graduate students.
Presenting the topic with clear explanations, relevant examples, and problem sets that move from simple algorithms to complex codes with real-world capabilities, this book helps its readers develop the skills required for taking a mathematical prescription for a numerical method and translating it into a working, validated software code, providing a valuable resource for understanding the finite difference method, the method of moments, the finite element method, and other tools used in the RF and wireless industry.
Автор: Nikos Katzourakis Название: An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L? ISBN: 3319128280 ISBN-13(EAN): 9783319128283 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The purpose of this book is to give a quick and elementary, yet rigorous, presentation of the rudiments of the so-called theory of Viscosity Solutions which applies to fully nonlinear 1st and 2nd order Partial Differential Equations (PDE).
Автор: N.V. Krylov Название: Sobolev and Viscosity Solutions for Fully Nonlinear Elliptic and Parabolic Equations ISBN: 1470447401 ISBN-13(EAN): 9781470447403 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 107850.00 T Наличие на складе: Невозможна поставка. Описание: This book concentrates on first boundary-value problems for fully nonlinear second-order uniformly elliptic and parabolic equations with discontinuous coefficients. We look for solutions in Sobolev classes, local or global, or for viscosity solutions. Most of the auxiliary results, such as Aleksandrov's elliptic and parabolic estimates, the Krylov-Safonov and the Evans-Krylov theorems, are taken from old sources, and the main results were obtained in the last few years.Presentation of these results is based on a generalization of the Fefferman-Stein theorem, on Fang-Hua Lin's like estimates, and on the so-called ``ersatz'' existence theorems, saying that one can slightly modify ``any'' equation and get a ``cut-off'' equation that has solutions with bounded derivatives. These theorems allow us to prove the solvability in Sobolev classes for equations that are quite far from the ones which are convex or concave with respect to the Hessians of the unknown functions. In studying viscosity solutions, these theorems also allow us to deal with classical approximating solutions, thus avoiding sometimes heavy constructions from the usual theory of viscosity solutions.
Автор: Fleming Wendell H., Soner H.M. Название: Controlled Markov Processes and Viscosity Solutions ISBN: 0387260455 ISBN-13(EAN): 9780387260457 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book is an introduction to optimal stochastic control for continuous time Markov processes and the theory of viscosity solutions. New chapters in this second edition introduce the role of stochastic optimal control in portfolio optimization and in pricing derivatives in incomplete markets and two-controller, zero-sum differential games.
Автор: Martino Bardi; Italo Capuzzo Dolcetta; Pierre Lion Название: Viscosity Solutions and Applications ISBN: 3540629106 ISBN-13(EAN): 9783540629108 Издательство: Springer Рейтинг: Цена: 41880.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This volume comprises five extended surveys on the theory of viscosity solutions of fully nonlinear partial differential equations, and some relevant applications, such as to optimal control theory for deterministic and stochastic systems and geometric motions and mathematical finance.
Автор: Wendell H. Fleming; Halil Mete Soner Название: Controlled Markov Processes and Viscosity Solutions ISBN: 1441920781 ISBN-13(EAN): 9781441920782 Издательство: Springer Рейтинг: Цена: 111790.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book is an introduction to optimal stochastic control for continuous time Markov processes and the theory of viscosity solutions. New chapters in this second edition introduce the role of stochastic optimal control in portfolio optimization and in pricing derivatives in incomplete markets and two-controller, zero-sum differential games.
Автор: Boling Guo, Dongfen Bian, Fangfang Li, Xiaoyu Xi Название: Vanishing Viscosity Method: Solutions to Nonlinear Systems ISBN: 3110495287 ISBN-13(EAN): 9783110495287 Издательство: Walter de Gruyter Рейтинг: Цена: 173490.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
The book summarizes several mathematical aspects of the vanishing viscosity method and considers its applications in studying dynamical systems such as dissipative systems, hyperbolic conversion systems and nonlinear dispersion systems. Including original research results, the book demonstrates how to use such methods to solve PDEs and is an essential reference for mathematicians, physicists and engineers working in nonlinear science.
Contents: Preface Sobolev Space and Preliminaries The Vanishing Viscosity Method of Some Nonlinear Evolution System The Vanishing Viscosity Method of Quasilinear Hyperbolic System Physical Viscosity and Viscosity of Difference Scheme Convergence of Lax-Friedrichs Scheme, Godunov Scheme and Glimm Scheme Electric-Magnetohydrodynamic Equations References
Автор: H. Goslinga Название: Blood Viscosity and Shock ISBN: 3540126201 ISBN-13(EAN): 9783540126201 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The hemodynamic significance of the flow properties of blood was put into perspective only during the past decade. Advances in modern technologies today allow the quantitative analy- sis of the fluidity of blood and its components under conditions approximating the flow in vivo, particularly those in the microcirculation. The hematocrit is the most important of the determinants of blood fluidity (reciprocal value of blood viscosity); acute increases in the hematocrit exert deleterious effects on circulation and oxygen transport owing to impaired fluidity of blood. High viscosity of plasma due to hyper- or dysproteinemias initiates the microcirculatory dysfunctions in hyperviscosity syndromes. Furthermore, the fluidity or deformability of red cells might be critically diminished and therefore cause redistribution of blood elements and adversely affect the resistance to flow within the microvessels. In low- flow states blood fluidity most likely becomes the key determinant for microvessel perfu- sion, overriding the neural and local metabolic control mechanisms operative at physiological conditions to adjust blood supply to tissue demand. Microcirculatory disturbances are there- fore encountered whenever driving pressures are reduced, as in shock or hypotension, and distal to stenoses of macrovessels, but also in hemoconcentration due to plasma volume con- traction, polycythemia, leukemia, and dysproteinemia. Based on experimental studies exploring the possibilities and limitations, with regard to improving the fluidity of blood by reducing the hematocrit, the concept of intentional hemo- dilution has been introduced to clinical medicine.
Автор: Se?n Prunty Название: Introduction to Simple Shock Waves in Air ISBN: 3030025640 ISBN-13(EAN): 9783030025649 Издательство: Springer Рейтинг: Цена: 111790.00 T Наличие на складе: Поставка под заказ. Описание: This book provides an elementary introduction to some one-dimensional fluid flow problems involving shock waves in air. The differential equations of fluid flow are approximated by finite difference equations and these in turn are numerically integrated in a stepwise manner. Artificial viscosity is introduced into the numerical calculations in order to deal with shocks. The presentation is restricted to the finite-difference approach to solve the coupled differential equations of fluid flow as distinct from finite-volume or finite-element methods. This text presents the results arising from the numerical solution using Mathcad programming. Both plane and spherical shock waves are discussed with particular emphasis on very strong explosive shocks in air.
This text will appeal to students, researchers, and professionals in shock wave research and related fields. Students in particular will appreciate the benefits of numerical methods in fluid mechanics and the level of presentation.
Автор: Epperson Название: Solutions Manual to Accompany An Introduction to Numerical Methods and Analysis Revised Edition ISBN: 0470603518 ISBN-13(EAN): 9780470603512 Издательство: Wiley Рейтинг: Цена: 37960.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Praise for the First Edition "... outstandingly appealing with regard to its style, contents, considerations of requirements of practice, choice of examples, and exercises. " -Zentrablatt Math "... carefully structured with many detailed worked examples... " -The Mathematical Gazette "...
Автор: Epperson Название: Solutions Manual to Accompany An Introduction to Numerical Methods and Analysis, Second Edition ISBN: 1118395131 ISBN-13(EAN): 9781118395134 Издательство: Wiley Рейтинг: Цена: 30570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: A solutions manual to accompany An Introduction toNumerical Methods and Analysis, Second Edition An Introduction to Numerical Methods and Analysis, SecondEdition reflects the latest trends in the field, includesnew material and revised exercises, and offers a unique emphasis onapplications.
Makes Numerical Programming More Accessible to a Wider Audience
Bearing in mind the evolution of modern programming, most specifically emergent programming languages that reflect modern practice, Numerical Programming: A Practical Guide for Scientists and Engineers Using Python and C/C++ utilizes the author's many years of practical research and teaching experience to offer a systematic approach to relevant programming concepts. Adopting a practical, broad appeal, this user-friendly book offers guidance to anyone interested in using numerical programming to solve science and engineering problems.Emphasizing methods generally used in physics and engineering--from elementary methods to complex algorithms--it gradually incorporates algorithmic elements with increasing complexity.
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The book encourages algorithmic thinking, which is essential to numerical analysis. Establishing the fundamental numerical methods, application numerical behavior and graphical output needed to foster algorithmic reasoning, coding dexterity, and a scientific programming style, it enables readers to successfully navigate relevant algorithms, understand coding design, and develop efficient programming skills. The book incorporates real code, and includes examples and problem sets to assist in hands-on learning.
Begins with an overview on approximate numbers and programming in Python and C/C++, followed by discussion of basic sorting and indexing methods, as well as portable graphic functionality
Contains methods for function evaluation, solving algebraic and transcendental equations, systems of linear algebraic equations, ordinary differential equations, and eigenvalue problems
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This text introduces platform-independent numerical programming using Python and C/C++, and appeals to advanced undergraduate and graduate students in natural sciences and engineering, researchers involved in scientific computing, and engineers carrying out applicative calculations.
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