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Nonlinear Approximation Theory
ISBN: 9783642648830 / Angielski / Miękka / 290 str. Termin realizacji zamówienia: 22 dni roboczych The first investigations of nonlinear approximation problems were made by P.L. Chebyshev in the last century, and the entire theory of uniform approxima- tion is strongly connected with his name. By making use of his ideas, the theories of best uniform approximation by rational functions and by polynomials were developed over the years in an almost unified framework. The difference between linear and rational approximation and its implications first became apparent in the 1960's. At roughly the same time other approaches to nonlinear approximation were also developed. The use of new tools,...
The first investigations of nonlinear approximation problems were made by P.L. Chebyshev in the last century, and the entire theory of uniform approxi...
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Foundations of Abstract Analysis
ISBN: 9781461459613 / Angielski / Twarda / 748 str. Termin realizacji zamówienia: 22 dni roboczych Foundations of Abstract Analysis is the first of a two book series offered as the second (expanded) edition to the previously published text Real Analysis. It is written for a graduate-level course on real analysis and presented in a self-contained way suitable both for classroom use and for self-study.
While this book carries the rigor of advanced modern analysis texts, it elaborates the material in much greater details and therefore fills a gap between introductory level texts (with topics developed in Euclidean spaces) and advanced level texts (exclusively... Foundations of Abstract Analysis is the first of a two book series offered as the second (expanded) edition to the previously published text... |
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Mehrgittermethoden: Ein Lehr- Und Übungsbuch
ISBN: 9783834813190 / Niemiecki / Miękka / 282 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Auf der Grundlage der iterativen Standard-Verfahren zur Losung von grossen, schwach besetzten linearen Gleichungssystemen werden die Mehrgittermethoden an Hand einfacher Modellprobleme eingefuhrt. Es werden leicht verstandlich und mit vielen Beispielen die wichtigsten mathematischen und algorithmischen Eigenschaften behandelt. Ubungen mit Losungen runden den Text ab, der auch als Einfuhrung fur Ingenieure geeignet sein soll."
Auf der Grundlage der iterativen Standard-Verfahren zur Losung von grossen, schwach besetzten linearen Gleichungssystemen werden die Mehrgittermethode...
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113,37 |
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Time-Dependent Problems 2e
ISBN: 9780470900567 / Angielski / Twarda / 528 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Praise for the First Edition ." . . fills a considerable gap in the numerical analysis literature by providing a self-contained treatment . . . this is an important work written in a clear style . . . warmly recommended to any graduate student or researcher in the field of the numerical solution of partial differential equations." Time-Dependent Problems and Difference Methods, Second Edition continues to provide guidance for the analysis of difference methods for computing approximate solutions to partial differential equations... Praise for the First Edition ." . . fills a considerable gap in the numerical analysis literature by providing a self-containe... |
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650,74 |
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Elements of Scientific Computing
ISBN: 9783642265198 / Angielski / Miękka / 468 str. Termin realizacji zamówienia: 22 dni roboczych Science used to be experiments and theory, now it is experiments, theory and computations. The computational approach to understanding nature and technology is currently flowering in many fields such as physics, geophysics, astrophysics, chemistry, biology, and most engineering disciplines. This book is a gentle introduction to such computational methods where the techniques are explained through examples. It is our goal to teach principles and ideas that carry over from field to field. You will learn basic methods and how to implement them. In order to gain the most from this text, you will...
Science used to be experiments and theory, now it is experiments, theory and computations. The computational approach to understanding nature and tech...
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The Theory of Cubature Formulas
ISBN: 9789048148752 / Angielski / Miękka / 418 str. Termin realizacji zamówienia: 22 dni roboczych This volume considers various methods for constructing cubature and quadrature formulas of arbitrary degree. These formulas are intended to approximate the calculation of multiple and conventional integrals over a bounded domain of integration. The latter is assumed to have a piecewise-smooth boundary and to be arbitrary in other aspects. Particular emphasis is placed on invariant cubature formulas and those for a cube, a simplex, and other polyhedra. Here, the techniques of functional analysis and partial differential equations are applied to the classical problem of numerical integration,...
This volume considers various methods for constructing cubature and quadrature formulas of arbitrary degree. These formulas are intended to approximat...
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Stochastic Modelling in Physical Oceanography
ISBN: 9781461275336 / Angielski / Miękka / 466 str. Termin realizacji zamówienia: 22 dni roboczych The study of the ocean is almost as old as the history of mankind itself. When the first seafarers set out in their primitive ships they had to understand, as best they could, tides and currents, eddies and vortices, for lack of understanding often led to loss of live. These primitive oceanographers were, of course, primarily statisticians. They collected what empirical data they could, and passed it down, ini- tially by word of mouth, to their descendants. Data collection continued throughout the millenia, and although data bases became larger, more re- liable, and better codified, it was...
The study of the ocean is almost as old as the history of mankind itself. When the first seafarers set out in their primitive ships they had to unders...
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Elementare Numerische Mathematik: Eine Problemorientierte Einführung Für Lehrer Und Studierende
ISBN: 9783528069841 / Niemiecki / Miękka / 236 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Da in den Anwendungen nur die Approximations mathematik eine Rolle spielt, kann man, etwas kraft ausgedrilckt, auch sagen, daft man eigentlich nur diese Disziplin "braucht," wiihrend die Priizisions mathematik bloft zum intellektuellen Vergnilgen de rer, die sich mit ihr beschiiftigen, da ist und im ilbri genfilr die Entwicklung der Approximationsmathe matik eine wertvolle und wohl kaum entbehrliche Stiltze abgibt. Felix Klein 1 Dieses Bueh handelt vom Umgang mit fehlerbehafteten GroBen und gerundeten Zahlen, von der niiherungsweisen Bereehnung elementarer Funktionen sowie von numerisehen...
Da in den Anwendungen nur die Approximations mathematik eine Rolle spielt, kann man, etwas kraft ausgedrilckt, auch sagen, daft man eigentlich nur die...
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132,26 |
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Coping with Complexity: Model Reduction and Data Analysis
ISBN: 9783642265617 / Angielski / Miękka / 356 str. Termin realizacji zamówienia: 22 dni roboczych This volume contains the extended version of selected talks given at the international research workshop Coping with Complexity: Model Reduction and Data Analysis, Ambleside, UK, August 31 - September 4, 2009. The book is deliberately broad in scope and aims at promoting new ideas and methodological perspectives. The topics of the chapters range from theoretical analysis of complex and multiscale mathematical models to applications in e.g., fluid dynamics and chemical kinetics.
This volume contains the extended version of selected talks given at the international research workshop Coping with Complexity: Model Reduction and D...
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Sparse Grid Quadrature in High Dimensions with Applications in Finance and Insurance
ISBN: 9783642265631 / Angielski / Miękka / 192 str. Termin realizacji zamówienia: 22 dni roboczych This book deals with the numerical analysis and efficient numerical treatment of high-dimensional integrals using sparse grids and other dimension-wise integration techniques with applications to finance and insurance. The book focuses on providing insights into the interplay between coordinate transformations, effective dimensions and the convergence behaviour of sparse grid methods. The techniques, derivations and algorithms are illustrated by many examples, figures and code segments. Numerical experiments with applications from finance and insurance show that the approaches presented in...
This book deals with the numerical analysis and efficient numerical treatment of high-dimensional integrals using sparse grids and other dimension-wis...
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Method of Difference Potentials and Its Applications
ISBN: 9783642627156 / Angielski / Miękka / 538 str. Termin realizacji zamówienia: 22 dni roboczych The method of difference potentials (MDP) was proposed in 1]- 8] and sig- nificantly developed in 9]- 101] and some other works. The present book describes the current state of the art in the method of difference potentials and is a revised and essentially supplemented version of the author's first book devoted to this method, which was published by "Nauka" in 1987 100]. This monograph deals with the MDP apparatus and several of its appli- cations, particularly to the following problems: 1. the numerical solution ofinterior and exterior boundary-value problems for systems of partial...
The method of difference potentials (MDP) was proposed in 1]- 8] and sig- nificantly developed in 9]- 101] and some other works. The present book de...
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Numerical Methods and Optimization: An Introduction
ISBN: 9781466577770 / Angielski / Twarda / 414 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. For students in industrial and systems engineering (ISE) and operations research (OR) to understand optimization at an advanced level, they must first grasp the analysis of algorithms, computational complexity, and other concepts and modern developments in numerical methods. Satisfying this prerequisite, Numerical Methods and Optimization: An Introduction combines the materials from introductory numerical methods and introductory optimization courses into a single text. This classroom-tested approach enriches a standard numerical methods syllabus with optional chapters on... For students in industrial and systems engineering (ISE) and operations research (OR) to understand optimization at an advanced level, they must fi... |
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Parallele Numerik: Eine Einführung
ISBN: 9783519003793 / Niemiecki / Miękka / 461 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Die Konzepte numerischer Verfahren auf modernen Parallel- und Vektorrechnern stehen im Mittelpunkt dieser neuen Einfuhrung. Studierende und Anwender aus den Bereichen Mathematik, Natur- und Ingenieurwissenschaften und Informatik werden die erforderlichen Kenntnisse und Fahigkeiten vermittelt, die eine effiziente Nutzung paralleler Strukturen in numerischen Anwendungen ermoglichen."
Die Konzepte numerischer Verfahren auf modernen Parallel- und Vektorrechnern stehen im Mittelpunkt dieser neuen Einfuhrung. Studierende und Anwender a...
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143,59 |
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Boundary Element Methods
ISBN: 9783642265747 / Angielski / Miękka / 561 str. Termin realizacji zamówienia: 22 dni roboczych This work presents a thorough treatment of boundary element methods (BEM) for solving strongly elliptic boundary integral equations obtained from boundary reduction of elliptic boundary value problems in $mathbb DEGREES3$. The book is self-contained, the prerequisites on elliptic partial differential and integral equations being presented in Chapters 2 and 3. The main focus is on the development, analysis, and implementation of Galerkin boundary element methods, which is one of the most flexible and robust numerical discretization methods for integral equations. For the efficient...
This work presents a thorough treatment of boundary element methods (BEM) for solving strongly elliptic boundary integral equations obtained from boun...
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Lectures on Constructive Approximation: Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball
ISBN: 9780817684020 / Angielski / Twarda / 326 str. Termin realizacji zamówienia: 22 dni roboczych Lectures on Constructive Approximation: Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball focuses on spherical problems as they occur in the geosciences and medical imaging. It comprises the author's lectures on classical approximation methods based on orthogonal polynomials and selected modern tools such as splines and wavelets. Methods for approximating functions on the real line are treated first, as they provide the foundations for the methods on the sphere and the ball and are useful for the analysis of time-dependent (spherical) problems.... Lectures on Constructive Approximation: Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball focuses on spherical... |
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Theory and Numerics of Differential Equations: Durham 2000
ISBN: 9783642075339 / Angielski / Miękka / 282 str. Termin realizacji zamówienia: 22 dni roboczych The Ninth EPSRC Numerical Analysis Summer School was held at the Uni- versity of Durharn, UK, from the 10th to the 21st of July 2000. This was the first of these schools to be held in Durharn, having previously been hosted, initially by the University of Lancaster and latterly by the University of Leicester. The purpose of the summer school was to present high quality in- structional courses on topics at the forefront of numerical analysis research to postgraduate students. Eminent figures in numerical analysis presented lectures and provided high quality lecture notes. At the time of writing...
The Ninth EPSRC Numerical Analysis Summer School was held at the Uni- versity of Durharn, UK, from the 10th to the 21st of July 2000. This was the fir...
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A Guide to Simulation
ISBN: 9781461264576 / Angielski / Miękka / 397 str. Termin realizacji zamówienia: 22 dni roboczych Changes and additions are sprinkled throughout. Among the significant new features are: - Markov-chain simulation (Sections 1. 3, 2. 6, 3. 6, 4. 3, 5. 4. 5, and 5. 5); - gradient estimation (Sections 1. 6, 2. 5, and 4. 9); - better handling of asynchronous observations (Sections 3. 3 and 3. 6); - radically updated treatment of indirect estimation (Section 3. 3); - new section on standardized time series (Section 3. 8); - better way to generate random integers (Section 6. 7. 1) and fractions (Appendix L, program UNIFL); - thirty-seven new problems plus improvements of old problems. Helpful...
Changes and additions are sprinkled throughout. Among the significant new features are: - Markov-chain simulation (Sections 1. 3, 2. 6, 3. 6, 4. 3, 5....
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Linear Turning Point Theory
ISBN: 9781461270089 / Angielski / Miękka / 246 str. Termin realizacji zamówienia: 22 dni roboczych My book "Asymptotic Expansions for Ordinary Differential Equations" published in 1965 is out of print. In the almost 20 years since then, the subject has grown so much in breadth and in depth that an account of the present state of knowledge of all the topics discussed there could not be fitted into one volume without resorting to an excessively terse style of writing. Instead of undertaking such a task, I have concentrated, in this exposi- tion, on the aspects of the asymptotic theory with which I have been particularly concerned during those 20 years, which is the nature and structure of...
My book "Asymptotic Expansions for Ordinary Differential Equations" published in 1965 is out of print. In the almost 20 years since then, the subject ...
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Parallel Solution of Partial Differential Equations
ISBN: 9781461270348 / Angielski / Miękka / 306 str. Termin realizacji zamówienia: 22 dni roboczych This IMA Volume in Mathematics and its Applications PARALLEL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS is based on the proceedings of a workshop with the same title. The work- shop was an integral part of the 1996-97IMA program on "MATHEMAT- ICS IN HIGH-PERFORMANCE COMPUTING." I would like to thank Petter Bj0rstad of the Institutt for Informatikk, University of Bergen and Mitchell Luskin of the School of Mathematics, University of Minnesota for their excellent work as organizers of the meeting and for editing the proceedings. I also take this opportunity to thank the National Science Founda-...
This IMA Volume in Mathematics and its Applications PARALLEL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS is based on the proceedings of a workshop with...
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Structured Adaptive Mesh Refinement (Samr) Grid Methods
ISBN: 9781461270621 / Angielski / Miękka / 181 str. Termin realizacji zamówienia: 22 dni roboczych The papers presented here describe research to improve the general understanding of the application of SAMR to practical problems, to identify issues critical to efficient and effective implementation on high performance computers and to stimulate the development of a community code repository for software including benchmarks to assist in the evaluation of software and compiler technologies. The ten chapters have been divided into two parts reflecting two major issues in the topic: programming complexity of SAMR algorithms and the applicability and numerical challenges of SAMR methods.
The papers presented here describe research to improve the general understanding of the application of SAMR to practical problems, to identify issues ...
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