Описание: This book provides an introduction to the use of geometric partial differential equations in image processing and computer vision. This research area brings a number of new concepts into the field, providing a very fundamental and formal approach to image processing. State-of-the-art practical results in a large number of real problems are achieved with the techniques described in this book. Applications covered include image segmentation, shape analysis, image enhancement, and tracking. This book will be a useful resource for researchers and practitioners. It is intended to provide information for people investigating new solutions to image processing problems as well as for people searching for existent advanced solutions.
Автор: Strang Название: Differential Equations and Linear Algebra ISBN: 0980232791 ISBN-13(EAN): 9780980232790 Издательство: Cambridge Academ Рейтинг: Цена: 4580 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An innovative textbook that allows differential equations to be taught alone, or in parallel with linear algebra, affording extra flexibility to instructors. It covers the fundamental undergraduate topics in differential equations and linear algebra, revealing connections between these two essential subjects, and applications to the physical sciences, engineering and economics.
Описание: Offers easily verifiable existence criteria for differential, difference and integral equations over the infinite interval. This monograph features the illustration of various results with examples. It is suitable for mathematicians and graduate students in the disciplines of theoretical and applied mathematics.
Описание: The subject of this book is the solution of stiff differential equations and of differential-algebraic systems (differential equations with constraints). The book is divided into four chapters. The beginning of each chapter is of introductory nature, followed by practical applications, the discussion of numerical results, theoretical investigations on the order and accuracy, linear and nonlinear stability, convergence and asymptotic expansions. Stiff and differential-algebraic problems arise everywhere in scientific computations (e.g., in physics, chemistry, biology, control engineering, electrical network analysis, mechanical systems). Many applications as well as computer programs are presented.
Описание: The theory of differential operator equations has been described in various monographs, but the initial physical problem which leads to these equations is often hidden. This book gives a systematic treatment of the differential equations with application to partial differential equations obtained from elastostatic problems.
Автор: Renardy Michael, Rogers Robert C. Название: An Introduction to Partial Differential Equations ISBN: 0387004440 ISBN-13(EAN): 9780387004440 Издательство: Springer Рейтинг: Цена: 6914 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Partial differential equations are fundamental to the modeling of natural phenomena. Like algebra, topology, and rational mechanics, partial differential equations are a core area of mathematics. This book aims to provide the background to initiate work on a PhD thesis in PDEs for beginning graduate students.
Описание: Partial Differential Equations and Boundary Value Problems with Maple, Second Edition, presents all of the material normally covered in a standard course on partial differential equations, while focusing on the natural union between this material and the powerful computational software, Maple. The Maple commands are so intuitive and easy to learn, students can learn what they need to know about the software in a matter of hours - an investment that provides substantial returns. Maple's animation capabilities allow students and practitioners to see real-time displays of the solutions of partial differential equations. This updated edition provides a quick overview of the software w/simple commands needed to get started. It includes review material on linear algebra and Ordinary Differential equations, and their contribution in solving partial differential equations. It also incorporates an early introduction to Sturm-Liouville boundary problems and generalized eigenfunction expansions. Numerous example problems and end of each chapter exercises are provided.
Описание: Perturbation of the boundary is a rather neglected topic in the study of PDEs for two main reasons. First, on the surface it appears trivial, merely a change of variables and an application of the chain rule. Second, carrying out such a change of variables frequently results in long and difficult calculations. Here the author carefully discusses a calculus that allows the computational morass to be bypassed, and he goes on to develop more general forms of standard theorems, which help answer a wide range of problems involving boundary perturbations. Many examples are presented to demonstrate the usefulness of the author’s approach, while on the other hand many tantalizing open questions remain. Anyone whose research involves PDEs will find something of interest in this book.
Описание: Brannan provides engineers with both an introduction to, and a survey of, modern methods, applications, and theory of a powerful mathematical apparatus that will help them in the field. Section exercises of varying levels of difficulty give them hands-on experience in modeling, analysis, and computer experimentation.
Описание: Focuses on the theory and practical applications of differential equations to engineering and the sciences. This book places an emphasis on the methods of solution, analysis, and approximation. It includes historical footnotes tracing the development of the discipline. It is intended for those needing to learn differential equations.
Описание: This revision of the market-leading book maintains its classic strengths: contemporary approach, flexible chapter construction, clear exposition, and outstanding problems. Like its predessors, this revision is written from the viewpoint of the applied mathematician, focusing both on the theory and the practical applications of Differential Equations as they apply to engineering and the sciences. Sound and Accurate Exposition of Theory - special attention is made to methods of solution, analysis, and approximation. Use of technology, illustrations, and problem sets help readers develop an intuitive understanding of the material. Historical footnotes trace development of the discipline and identify outstanding individual contributions.