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Integral Equations / Theory and Numerical Treatment, Hackbusch Wolfgang



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Цена: 13974р.
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При оформлении заказа до: 13 май 2024
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Автор: Hackbusch Wolfgang
Название:  Integral Equations / Theory and Numerical Treatment
Перевод названия: Вольфганг Хакбуш: Интегральные уравнения. Теория и численные решения
ISBN: 9783764328719
Издательство: Springer
Классификация:
ISBN-10: 3764328711
Обложка/Формат: Hardback
Страницы: 380
Вес: 0.708 кг.
Дата издания: 01.06.1995
Серия: International Series of Numerical Mathematics
Язык: English
Иллюстрации: Biography
Размер: 23.39 x 15.60 x 2.24
Читательская аудитория: Postgraduate, research & scholarly
Подзаголовок: Theory and numerical treatment
Ссылка на Издательство: Link
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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





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: 10454 р.
Наличие на складе: Невозможна поставка.

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
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Цена: 11179 р.
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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.

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
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Цена: 13969 р.
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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.

Galois Theory of Linear Differential Equations

Автор: Van der Put Marius , Singer Michael F.
Название: Galois Theory of Linear Differential Equations
ISBN: 3540442286 ISBN-13(EAN): 9783540442288
Издательство: Springer
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Цена: 13969 р.
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Описание: Linear differential equations form the central topic of this volume, Galois theory being the unifying theme.A large number of aspects are presented: algebraic theory especially differential Galois theory, formal theory, classification, algorithms to decide solvability in finite terms, monodromy and Hilbert's 21st problem, asymptotics and summability, the inverse problem and linear differential equations in positive characteristic. The appendices aim to help the reader with concepts used, from algebraic geometry, linear algebraic groups, sheaves, and tannakian categories that are used. This volume will become a standard reference for all mathematicians in this area of mathematics, including graduate students.

Computational Partial Differential Equations / Numerical Methods and Diffpack Programming

Автор: Langtangen Hans P.
Название: Computational Partial Differential Equations / Numerical Methods and Diffpack Programming
ISBN: 354043416X ISBN-13(EAN): 9783540434160
Издательство: Springer
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Цена: 9362 р.
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Описание: This graduate textbook - now in its second edition - teaches finite element methods and basic finite difference methods from a computational point of view. The emphasis is on developing flexible computer programs using the numerical library Diffpack. Diffpack is explained in detail for problems including model equations in applied mathematics, heat transfer, elasticity, and viscous fluid flow. All the program examples, as well as Diffpack for use with this book, are available on the Internet.


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