Acta Numerica 2015, Iserles

Автор: LeVeque Randall J.
Название: Numerical Methods for Conservation Laws
ISBN: 3764327235 ISBN-13(EAN): 9783764327231
Издательство: Springer
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Цена: 5589.00 р.
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Описание: These notes were developed for a graduate-level course on the theory and numerical solution of nonlinear hyperbolic systems of conservation laws. Part I deals with the basic mathematical theory of the equations: the notion of weak solutions, entropy conditions, and a detailed description of the wave structure of solutions to the Riemann problem. The emphasis is on tools and techniques that are indispensable in developing good numerical methods for discontinuous solutions. Part II is devoted to the development of high resolution shock-capturing methods, including the theory of total variation diminishing (TVD) methods and the use of limiter functions. The book is intended for a wide audience, and will be of use both to numerical analysts and to computational researchers in a variety of applications.

Автор: Hackbusch Wolfgang
Название: Integral Equations / Theory and Numerical Treatment
ISBN: 3764328711 ISBN-13(EAN): 9783764328719
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Volterra and Fredholm integral equations form the domain of this book. Special chapters are devoted to Abel's 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.

Автор: Bronstein Alexander, Bronstein Michael, Kimmel Ron
Название: Numerical Geometry of Non-Rigid Shapes
ISBN: 0387733000 ISBN-13(EAN): 9780387733005
Издательство: Springer
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Цена: 9781.00 р.
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Описание: Deformable objects are ubiquitous in the world surrounding us, on all levels from micro to macro. The need to study such shapes and model their behavior arises in a wide spectrum of applications, ranging from medicine to security. In recent years, non-rigid shapes have attracted a growing interest, which has led to rapid development of the field, where state-of-the-art results from very different sciences - theoretical and numerical geometry, optimization, linear algebra, graph theory, machine learning and computer graphics, to mention a few - are applied to find solutions.This book gives an overview of current state of science in analysis and synthesis of non-rigid shapes. Everyday examples are used to explain concepts and to illustrate different techniques. Self-contained presentation of topics unfolds systematically and numerous figures enrich the engaging exposition. Practice problems follow the end of each chapter, with detailed solutions to selected problems in the appendix. A gallery of colored images enhances the text.This book will be of interest to graduate students, researchers and professionals in different fields of mathematics, computer science and engineering. It could be used for courses in computer vision, numerical geometry and geometric modeling and computer graphics or for self-study.

Автор: Durran
Название: Numerical Methods for Fluid Dynamics
ISBN: 1441964118 ISBN-13(EAN): 9781441964113
Издательство: Springer
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Цена: 11179.00 р.
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Описание: The new title of this major revision of Numerical Methods for Wave Equations in Geophysical Fluid Dynamics conveys its broader scope. Aimed at those studying geophysical fluids, it also helps find numerical solutions to time-dependent differential equations.

Автор: Iserles
Название: Acta Numerica 2016
ISBN: 1107168058 ISBN-13(EAN): 9781107168053
Издательство: Cambridge Academ
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Цена: 26136.00 р.
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Описание: Acta Numerica is an annual publication containing invited survey papers by leading researchers in numerical mathematics and scientific computing. The papers present overviews of recent developments in their area and provide state-of-the-art techniques and analysis.

Автор: Chapra Steven C
Название: Applied Numerical Methods with MATLAB
ISBN: 0071086188 ISBN-13(EAN): 9780071086189
Издательство: McGraw-Hill
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Цена: 7892.00 р.
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Описание: Suitable for engineering and science students who need to learn numerical problem solving, this book introduces theory to inform key concepts which are framed in applications and demonstrated using MATLAB. It features chapters on Eigenvalues and Fourier Analysis and is accompanied by a set of m-files and instructor materials.