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Introduction to partial differential equations with matlab, Cooper Jeffery M.

Introduction to partial differential equations with matlab

Автор: Cooper Jeffery M.
Название:  Introduction to partial differential equations with matlab   (Введение в дифференциальные уравнения с Мatlab)
Издательство: Springer
Классификация:
Дифферунциально и интегральное исчисление и математический анализ
Численный анализ
Прикладная математика

ISBN: 0817639675
ISBN-13(EAN): 9780817639679
ISBN: 0-8176-3967-5
ISBN-13(EAN): 978-0-8176-3967-9
Обложка/Формат: Hardback
Страницы: 564
Вес: 0.95 кг.
Дата издания: 01.11.2000
Серия: Applied and Numerical Harmonic Analysis
Язык: ENG
Издание: 1st ed. 1998. corr.
Иллюстрации: 50 black & white illustrations, 50 black & white l
Размер: 23.90 x 16.15 x 2.92 cm
Читательская аудитория: Postgraduate, research & scholarly
Ссылка на Издательство: Link
Рейтинг:
Поставляется из: Германии
Описание: This advanced textbook reference is an introduction to partial differential equations covering the traditional subjects of the heat equation, wave equation and Laplace equation in the traditional manner using the method of separation of variables.
Описание: Offers an introduction to partial differential equations covering the traditional topics within a modern context. This book includes techniques of numerical computation with selected nonlinear topics, including nonlinear first order equations. It discusses the analytical aspects of solutions in an integrated fashion with examples and exercises.
Дополнительное описание: Илюстрации: 50
Язык: eng
Издание: 1st ed. 1998. Corr. 2nd p
Оглавление: Chapter 1. Preliminaries         Chapter 2. First-Order Equations:       Method of characteristics for linear equations; nonlinear conservation laws; weak solutions; shock waves; numerical methods.  Chapter 3. Diffusion:                    Diffusion on the line; maximum principle; fundamental solution of the heat equation; Burgers' equation; numerical methods.   Chapter 4. Boundary Value Problems for the Heat Equation:       Separation of variables; eigenfunction expansions; symmetric boundary conditions; long-time behavior.  Chapter 5. Waves Again:               Gas dynamics; the nonlinear string; linearized model;the linear wave equation without boundaries; boundary value problems on the half-line and finite interval; conservation of energy;numerical methods; nonlinear Klein-Gordon equation.  Chapter 6. Fourier Series and Fourier Transform:      Fourier series; Fourier transform and the heat equation; discrete Fourier transform; fast Fourier transform.  Chapter 7. Dispersive Waves and the Schrodinger Equation:       Method of stationary phase; dispersive equation (group velocity and phase velocity); Schrodinger equation; spectrum of the Schrodinger operator.  Chapter 8. The Heat and Wave Equations in Higher Dimensions:       Fundamental solution of heat equation;  eigenfunctions for the disk and rectangle; Kirchoff's formula for the wave equation; nodal curves; conservation of energy; the Maxwell equations.  Chapter 9. Equilibrium:              Harmonic functions; maximum principle; Dirichlet problem in the disk and rectangle; Poisson kernel; Green's functions; variational problems and weak solutions.  Chapter 10. Numerical Methods in Higher Dimensions:        Finite differences; finite elements; Galerkin methods, A reaction-diffusion equation.  Chapter 11. Epilogue: ClassificationAppendix A: Recipes and FormulasAppendix B: Elements of MATLABAppendix C: ReferencesAppendix D: Solutions to Selected ProblemsAppendix E: List of Computer ProgramsIndex


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Differential forms

Автор: Weintraub, Steven
Название: Differential forms
ISBN: 0123944031 ISBN-13(EAN): 9780123944030
Издательство: Elsevier Science
Цена: 7003 р.
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An Introduction to Multivariate Statistical Analysis, Third Edition

Автор: T. W. Anderson
Название: An Introduction to Multivariate Statistical Analysis, Third Edition
ISBN: 0471360910 ISBN-13(EAN): 9780471360919
Издательство: Wiley
Цена: 13728 р.
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Описание: Uses the method of maximum likelihood to a large extent to ensure reasonable, and in some cases optimal procedures. This work treats the basic and important topics in multivariate statistics.

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Geometric Partial Differential Equations and Image Analysis

Автор: Guillermo Sapiro
Название: Geometric Partial Differential Equations and Image Analysis
ISBN: 0521685079 ISBN-13(EAN): 9780521685078
Издательство: Cambridge Academ
Цена: 3154 р.
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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.

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An Introduction to Delay Differential Equations with Applications to the Life Sciences

Автор: Smith
Название: An Introduction to Delay Differential Equations with Applications to the Life Sciences
ISBN: 1441976450 ISBN-13(EAN): 9781441976451
Издательство: Springer
Цена: 3464 р.
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Описание: This book is intended to be an introduction to Delay Differential Equations for upper level undergraduates or beginning graduate mathematics students who have a reasonable background in ordinary differential equations and who would like to get to the applications quickly. The author has used preliminary notes in teaching such a course at Arizona State University over the past two years. This book focuses on the key tools necessary to understand the applications literature involving delay equations and to construct and analyze mathematical models involving delay differential equations. The book begins with a survey of mathematical models involving delay equations.

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Functional analysis, Sobolev spaces and partial differential equations

Автор: Brezis, H.
Название: Functional analysis, Sobolev spaces and partial differential equations
ISBN: 0387709134 ISBN-13(EAN): 9780387709130
Издательство: Springer
Цена: 5001 р.
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Описание: This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.

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Partial Differential Equations II

Автор: Taylor
Название: Partial Differential Equations II
ISBN: 1441970517 ISBN-13(EAN): 9781441970510
Издательство: Springer
Цена: 11934 р.
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Описание: This second in the series of three volumes builds upon the basic theory of linear PDE given in volume 1, and pursues more advanced topics. Analytical tools introduced here include pseudodifferential operators, the functional analysis of self-adjoint operators, and Wiener measure. The book also develops basic differential geometrical concepts, centred about curvature. Topics covered include spectral theory of elliptic differential operators, the theory of scattering of waves by obstacles, index theory for Dirac operators, and Brownian motion and diffusion.

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Partial Differential Equations III

Автор: Taylor
Название: Partial Differential Equations III
ISBN: 1441970487 ISBN-13(EAN): 9781441970480
Издательство: Springer
Цена: 11934 р.
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Описание: The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well as various equations arising in differential geometry, such as in the study of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear diffusion problems are studied. It also introduces such analytical tools as the theory of L Sobolev spaces, H lder spaces, Hardy spaces, and Morrey spaces, and also a development of Calderon-Zygmund theory and paradifferential operator calculus. The book is aimed at graduate students in mathematics, and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis and complex analysis

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Partial Differential Equations I

Автор: Taylor
Название: Partial Differential Equations I
ISBN: 1441970541 ISBN-13(EAN): 9781441970541
Издательство: Springer
Цена: 7696 р.
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Описание: The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spaces. These tools are then applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations.The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis.

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An Introduction to Partial Differential Equations

Автор: Renardy Michael, Rogers Robert C.
Название: An Introduction to Partial Differential Equations
ISBN: 0387004440 ISBN-13(EAN): 9780387004440
Издательство: Springer
Цена: 5694 р.
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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.

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An Introduction to Partial Differential Equations with MATLAB, Second Edition

Автор: Coleman
Название: An Introduction to Partial Differential Equations with MATLAB, Second Edition
ISBN: 1439898464 ISBN-13(EAN): 9781439898468
Издательство: Taylor&Francis
Цена: 4223 р.
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An Introduction to Partial Differential Equations with MATLAB

Автор: Coleman, Matthew P.
Название: An Introduction to Partial Differential Equations with MATLAB
ISBN: 1584883731 ISBN-13(EAN): 9781584883739
Издательство: Taylor&Francis
Цена: 3079 р.
Наличие на складе: Нет в наличии.

Описание: An Introduction to Partial Differential Equations with MATLAB exposes the basic ideas critical to the study of PDEs-- characteristics, integral transforms, Green's functions, and, most importantly, Fourier series and related topics. The author approaches the subject from a motivational perspective, detailing equations only after a need for them has been establied. He uses MATLAB software to solve exercises and to generate tables and figures. Included This volume includes are examples of many important PDEs and their applications. The first chapter introduces PDEs and makes analogies to familiar ODE concepts, then strengthens the connection by exploring the method of separation of variables. Chapter 2 examines the "Big Three" PDEs-- the heat, wave, and Laplace equations, and is followed by chapters explaining how these and other PDEs on finite intervals can be solved using the Fourier series, for arbitrary initial and boundary conditions. Chapter 5 investigates characteristics for both first- and second-order linear PDEs, the latter revealing how the Big Three equations are important far beyond their original application to physical problems. The book extends the Fourier method to functions on unbounded domains, gives a brief introduction to distributions, then applies separation of variables to PDEs in higher dimensions, leading to the special funtions, including the orthogonal polynomials. Other topics include Sturm-Liouville problems, adjoint and self-adjoint problems, the application of Green's functions to solving nonhomogeneous PDEs, and an examination of practical numerical methods used by engineers, including the finite difference, finite element, and spectral methods.

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Partial differential equations: an introduction with mathematica and maple (2nd edition)

Название: Partial differential equations: an introduction with mathematica and maple (2nd edition)
ISBN: 981238815X ISBN-13(EAN): 9789812388155
Издательство: World Scientific Publishing
Цена: 3988 р.
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Описание: This textbook is a self-contained introduction to partial differential equations. It has been designed for undergraduates and first year graduate students majoring in mathematics, physics, engineering, or science. The text provides an introduction to the basic equations of mathematical physics and the properties of their solutions, based on classical calculus and ordinary differential equations.

Advanced concepts such as weak solutions and discontinuous solutions of nonlinear conservation laws are also considered.

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