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Integral Equations / Theory and Numerical Treatment, Hackbusch Wolfgang


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Цена: 9349р.
Кол-во:
Наличие: Поставка под заказ.  Есть в наличии на складе поставщика.
Склад Англия: 374 шт.  Склад Америка: 120 шт.  
При оформлении заказа до: 25 окт 2019
Ориентировочная дата поставки: конец Ноября

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Автор: Hackbusch Wolfgang
Название:  Integral Equations / Theory and Numerical Treatment   (Вольфганг Хакбуш: Интегральные уравнения. Теория и численные решения)
Издательство: Springer
Классификация:
Дифферунциально и интегральное исчисление и математический анализ
Численный анализ

ISBN: 3764328711
ISBN-13(EAN): 9783764328719
ISBN: 3-7643-2871-1
ISBN-13(EAN): 978-3-7643-2871-9
Обложка/Формат: Hardback
Страницы: 380
Вес: 0.708 кг.
Дата издания: 01.06.1995
Серия: International Series of Numerical Mathematics
Язык: ENG
Иллюстрации: Biography
Размер: 23.39 x 15.60 x 2.39 cm
Читательская аудитория: Postgraduate, research & scholarly
Подзаголовок: Theory and numerical treatment
Ссылка на Издательство: Link
Рейтинг:
Поставляется из: Германии
Описание: Volterra and Fredholm integral equations form the domain of this book. Special chapters are devoted to Abels integral equations and the singular integral equation with the Cauchy kernel; others focus on the integral equation method and the boundary element method (BEM). While a small section affords some theoretical grounding in integral equations (covering existence, regularity, etc.), the larger part of the book is devoted to a description and analysis of the discretisation methods (Galerkin / collocation / NystrГ¶m). Also the multigrid method for the solution of discrete equations is analysed. The most prominent application of integral equations occurs in the use of the boundary element method, which here is discussed from the numerical point of view in particular. New results about numerical integration and the panel clustering technique are included. Many chapters have an introductory character, while special subsections give more advanced information. Intended readers are students of mathematics as well as postgraduates.
Дополнительное описание: Язык: eng





Numerical treatment of partial differential equations

Автор: Roos, Hans-georg Grossmann, Christian Stynes, Mart
Название: Numerical treatment of partial differential equations
ISBN: 3540715827 ISBN-13(EAN): 9783540715825
Издательство: Springer
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Цена: 7012 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Deals with discretization techniques for partial differential equations of elliptic, parabolic and hyperbolic type. This book provides an introduction to the main principles of discretization and gives a presentation of the ideas and analysis of advanced numerical methods in the area.

The Numerical Solution of Integral Equations of the Second Kind

Автор: Atkinson
Название: The Numerical Solution of Integral Equations of the Second Kind
ISBN: 0521102839 ISBN-13(EAN): 9780521102834
Издательство: Cambridge Academ
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Цена: 4787 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This book provides an extensive introduction to the numerical solution of a large class of integral equations.

The Numerical Solution of Ordinary and Partial Differential Equations, 2nd Edition

Автор: Granville Sewell
Название: The Numerical Solution of Ordinary and Partial Differential Equations, 2nd Edition
ISBN: 0471735809 ISBN-13(EAN): 9780471735809
Издательство: Wiley
Рейтинг:
Цена: 8308 р.
Наличие на складе: Поставка под заказ.

Описание: This book contains a modern introduction to the use of finite difference and finite element methods for the computer solution of ordinary and partial differential equations. After a review of direct methods for the solution of linear systems, with emphasis on the special features of the linear systems that arise when differential equations are solved, the balance of the content introduces, analyzes and implements, using FORTRAN90 and MATLAB programs, the more commonly used finite difference and finite element methods for solving a variety of problems, including both initial value and boundary value problems.

Elliptic Differential Equations / Theory and Numerical Treatment

Автор: Hackbusch Wolfgang, Fadiman R., Ion P.D.F.
Название: Elliptic Differential Equations / Theory and Numerical Treatment
ISBN: 354054822X ISBN-13(EAN): 9783540548225
Издательство: Springer
Рейтинг:
Цена: 18700 р.
Наличие на складе: Поставка под заказ.

Описание: The book offers a simultaneous presentation of the theory and of the numerical treatment of elliptic problems. The author starts with a discussion of the Laplace equation in the classical formulation and its discretisation by finite differences and deals with topics of gradually increasing complexity in the following chapters. He introduces the variational formulation of boundary value problems together with the necessary background from functional analysis and describes the finite element method including the most important error estimates. A more advanced chapter leads the reader into the theory of regularity. The reader will also find more details about the discretisation of singularly perturbed equations and eigenvalue problems. The author discusses the Stokes problem as an example of a saddle point problem taking into account its relevance to applications in fluid dynamics.

Periodic Integral and Pseudodifferential Equations with Numerical Approximation

Автор: Saranen Jukka, Vainikko Gennadi
Название: Periodic Integral and Pseudodifferential Equations with Numerical Approximation
ISBN: 3540418784 ISBN-13(EAN): 9783540418788
Издательство: Springer
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Цена: 15427 р.
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Описание: Classical boundary integral equations arising from the potential theory and acoustics (Laplace and Helmholtz equations) are derived. Using the parametrization of the boundary these equations take a form of periodic pseudodifferential equations. A general theory of periodic pseudodifferential equations and methods of solving are developed, including trigonometric Galerkin and collocation methods, their fully discrete versions with fast solvers, quadrature and spline based methods. The theory of periodic pseudodifferential operators is presented in details, with preliminaries (Fredholm operators, periodic distributions, periodic Sobolev spaces) and full proofs. This self-contained monograph can be used as a textbook by graduate/postgraduate students. It also contains a lot of carefully chosen exercises.

Navier-Stokes Equations: Theory and Numerical Analysis

Автор: Roger Temem
Название: Navier-Stokes Equations: Theory and Numerical Analysis
ISBN: 0821827375 ISBN-13(EAN): 9780821827376
Издательство: Oxford Academ
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Цена: 5615 р.
Наличие на складе: Поставка под заказ.

Описание: The book presents a systematic treatment of results on the theory and numerical analysis of the Navier-Stokes equations for viscous incompressible fluids. Considered are the linearized stationary case, the nonlinear stationary case, and the full nonlinear time-dependent case. The relevant mathematical tools are introduced at each stage. The new material in this book is Appendix III, reproducing a survey article written in 1998. This appendix contains a few aspects not addressed in the earlier editions, in particular a short derivation of the Navier-Stokes equations from the basic conservation principles in continuum mechanics, further historical perspectives, and indications on new developments in the area. The appendix also surveys some aspects of the related Euler equations and the compressible Navier-Stokes equations. Readers are advised to peruse this appendix before reading the core of the book. This book presents basic results on the theory of Navier-Stokes equations and, as such, continues to serve as a comprehensive reference source on the topic.

Acoustic and Electromagnetic Equations / Integral Representations for Harmonic Problems

Автор: Nedelec Jean-Claude
Название: Acoustic and Electromagnetic Equations / Integral Representations for Harmonic Problems
ISBN: 0387951555 ISBN-13(EAN): 9780387951553
Издательство: Springer
Рейтинг:
Цена: 7479 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This self-contained book is devoted to the study of the acoustic wave equations and the Maxwell system, the two most common waves equations that are encountered in physics or in engineering. It presents a detailed analysis of their mathematical and physical properties. In particular, the author focuses on the study of the harmonic exterior problems, building a mathematical framework which provides the existence and uniqueness of the solutions. Acoustic and electromagnetic waves underlie a vast range of modern technology from sonar, radio, and television to microwave heating and electromagnetic compatibility analysis. Mathematical modeling of these waves has undergone considerable growth in recent years, and this timely book, written by a leading international researcher, presents the research in a careful and complete way.

Differential and Integral Equations

Автор: Collins, Peter J.
Название: Differential and Integral Equations
ISBN: 0199297894 ISBN-13(EAN): 9780199297894
Издательство: Oxford Academ
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Цена: 2393 р.
Наличие на складе: Поставка под заказ.

Описание: Provides an introduction to differential and integral equations. With worked examples and exercises, this text is meant for undergraduates with basic calculus to gain a grounding in `analysis for applications`. It includes discussion of the wave, heat and Laplace equations, Green`s functions, and their application to the Sturm-Liouville equation.

Partial Differential Equations with Numerical Methods

Автор: Larsson
Название: Partial Differential Equations with Numerical Methods
ISBN: 3540017720 ISBN-13(EAN): 9783540017721
Издательство: Springer
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Цена: 7012 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The book is suitable for advanced undergraduate and beginning graduate students of applied mathematics and engineering. The main theme is the integration of the theory of linear PDE and the theory of finite difference and finite element methods. For each type of PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter on the mathematical theory of the differential equation, followed by one chapter on finite difference methods and one on finite element methods. The chapters on elliptic equations are preceded by a chapter on the two-point boundary value problem for ordinary differential equations. Similarly, the chapters on time-dependent problems are preceded by a chapter on the initial-value problem for ordinary differential equations. There is also one chapter on the elliptic eigenvalue problem and eigenfunction expansion. The presentation does not presume a deep knowledge of mathematical and functional analysis. The required background on linear functional analysis and Sobolev spaces is reviewed in an appendix.

Advanced Topics in Computational Partial Differential Equations / Numerical Methods and Diffpack Programming

Автор: Langtangen Hans P., Tveito Aslak
Название: Advanced Topics in Computational Partial Differential Equations / Numerical Methods and Diffpack Programming
ISBN: 3540014381 ISBN-13(EAN): 9783540014386
Издательство: Springer
Рейтинг:
Цена: 9345 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The book is suitable for readers with a background in basic finite element and finite difference methods for partial differential equations who wants gentle introductions to advanced topics like parallel computing, multigrid methods, and special methods for systems of PDEs. The goal of all chapters is to *compute* solutions to problems, hence algorithmic and software issues play a central role. All software examples use the Diffpack programming environment, so to take advantage of these examples some experience with Diffpack is required. There are also some chapters covering complete applications, i.e., the way from a model, expressed as systems of PDEs, through discretization methods, algorithms, software design, verification, and computational examples.

Geometric Numerical Integration / Structure-Preserving Algorithms for Ordinary Differential Equations

Автор: Hairer Ernst, Lubich Christian, Wanner Gerhard
Название: Geometric Numerical Integration / Structure-Preserving Algorithms for Ordinary Differential Equations
ISBN: 3540430032 ISBN-13(EAN): 9783540430032
Издательство: Springer
Цена: 7943 р.
Наличие на складе: Поставка под заказ.

Описание: Numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions are the subject of this book. A complete self-contained theory of symplectic and symmetric methods, which include Runge-Kutta, composition, splitting, multistep and various specially designed integrators, is presented and their construction and practical merits are discussed. The long-time behaviour of the numerical solutions is studied using a backward error analysis (modified equations) combined with KAM theory. The book is illustrated by many figures, it treats applications from physics and astronomy and contains many numerical experiments and comparisons of different approaches.

Higher-Order Numerical Methods for Transient Wave Equations

Автор: Cohen Gary
Название: Higher-Order Numerical Methods for Transient Wave Equations
ISBN: 354041598X ISBN-13(EAN): 9783540415985
Издательство: Springer
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Цена: 12233 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: "To my knowledge [this] is the first book to address specifically the use of high-order discretizations in the time domain to solve wave equations. [...] I recommend the book for its clear and cogent coverage of the material selected by its author." --Physics Today, March 2003


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