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

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.
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
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Цена: 7503 р.
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Описание: Offers many examples of computations and research applications across the fields of applied mathematics, engineering, and physics. This title provides a solid theoretical basis of how to develop and apply differential forms to real research problems. It includes computational methods for graphical results essential for math modeling.

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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
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Цена: 14586 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: 3352 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

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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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
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Цена: 5358 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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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
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Цена: 3712 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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Partial Differential Equations II

Автор: Taylor
Название: Partial Differential Equations II
ISBN: 1441970517 ISBN-13(EAN): 9781441970510
Издательство: Springer
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Цена: 12787 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
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Цена: 12787 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
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Цена: 8246 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
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Цена: 6101 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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Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB

Автор: Alexander Stanoyevitch
Название: Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB
ISBN: 0471697389 ISBN-13(EAN): 9780471697381
Издательство: Wiley
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Цена: 12623 р.
Наличие на складе: Нет в наличии.

Описание: Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB(R) teaches you how to numerically solve both ordinary and partial differential equations with ease. This innovative resource brings together a skillful treatment of MATLAB and programming alongside current theory and modeling methods. All the tools needed to master MATLAB and then use it to solve differential equations are provided. "Exercises for the Reader" range from routine computations to more advanced conceptual and theoretical questions, while illustrative examples demonstrate MATLAB's powerful ability to solve differential equations. With its thorough coverage of analytic concepts, geometric concepts, programs and algorithms, and applications, Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB(R) is an unsurpassed pedagogical tool.

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Introduction to Partial Differential Equations

Автор: Aslak Tveito; Ragnar Winther
Название: Introduction to Partial Differential Equations
ISBN: 3540887040 ISBN-13(EAN): 9783540887041
Издательство: Springer
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Цена: 2471 р.
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Описание: Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the cl- sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Ma- ematical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs. Preface "It is impossible to exaggerate the extent to which modern applied mathematics has been shaped and fueled by the g- eral availability of fast computers with large memories. Their impact on mathematics, both applied and pure, is comparable to the role of the telescopes in astronomy and microscopes in biology." -- Peter Lax, Siam Rev. Vol. 31 No. 4 Congratulations You have chosen to study partial differential equations.

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Computational partial differential equations using matlab

Автор: Li, Jichun Chen, Yi-tung
Название: Computational partial differential equations using matlab
ISBN: 1420089048 ISBN-13(EAN): 9781420089042
Издательство: Taylor&Francis
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Цена: 6918 р.
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Описание: Gives an introduction to advanced numerical methods. This textbook introduces several major numerical methods for solving various partial differential equations (PDEs) in science and engineering, including elliptic, parabolic, and hyperbolic equations. It helps students better understand the numerical methods through the use of MATLAB[registered].

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