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Solving Elliptic Problems Using Ellpack
ISBN: 9781461295280 / Angielski / Miękka / 497 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. ELLP ACK is a many faceted system for solving elliptic partial differential equations. It is a forerunner of the very high level, problem solving environments or expert systems that will become common in the next decade. While it is still far removed from the goals of the future, it is also far advanced compared to the Fortran library approach in common current use. Many people will find ELLP ACK an easy way to solve simple or moderately complex elliptic problems. Others will be able to solve really hard problems by digging a little deeper into ELLP ACK. ELLP ACK is a research tool for the...
ELLP ACK is a many faceted system for solving elliptic partial differential equations. It is a forerunner of the very high level, problem solving envi...
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Error-Free Polynomial Matrix Computations
ISBN: 9781461295723 / Angielski / Miękka / 155 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is written as an introduction to polynomial matrix computa tions. It is a companion volume to an earlier book on Methods and Applications of Error-Free Computation by R. T. Gregory and myself, published by Springer-Verlag, New York, 1984. This book is intended for seniors and graduate students in computer and system sciences, and mathematics, and for researchers in the fields of computer science, numerical analysis, systems theory, and computer algebra. Chapter I introduces the basic concepts of abstract algebra, including power series and polynomials. This chapter is essentially...
This book is written as an introduction to polynomial matrix computa tions. It is a companion volume to an earlier book on Methods and Applications of...
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Methods and Applications of Error-Free Computation
ISBN: 9781461297543 / Angielski / Miękka / 194 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is written as an introduction to the theory of error-free computation. In addition, we include several chapters that illustrate how error-free com putation can be applied in practice. The book is intended for seniors and first year graduate students in fields of study involving scientific computation using digital computers, and for researchers (in those same fields) who wish to obtain an introduction to the subject. We are motivated by the fact that there are large classes of ill-conditioned problems, and there are numerically unstable algorithms, and in either or both of these...
This book is written as an introduction to the theory of error-free computation. In addition, we include several chapters that illustrate how error-fr...
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Difference Methods and Their Extrapolations
ISBN: 9781461382263 / Angielski / Miękka / 334 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The stimulus for the present work is the growing need for more accurate numerical methods. The rapid advances in computer technology have not provided the resources for computations which make use of methods with low accuracy. The computational speed of computers is continually increasing, while memory still remains a problem when one handles large arrays. More accurate numerical methods allow us to reduce the overall computation time by of magnitude. several orders The problem of finding the most efficient methods for the numerical solution of equations, under the assumption of fixed array...
The stimulus for the present work is the growing need for more accurate numerical methods. The rapid advances in computer technology have not provided...
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Spectral Theory of Approximation Methods for Convolution Equations
ISBN: 9783034898911 / Angielski / Miękka / 376 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The aim of the present book is to propose a new algebraic approach to the study of norm stability of operator sequences which arise, for example, via discretization of singular integral equations on composed curves. A wide variety of discretization methods, including quadrature rules and spline or wavelet approximations, is covered and studied from a unique point of view. The approach takes advantage of the fruitful interplay between approximation theory, concrete operator theory, and local Banach algebra techniques. The book is addressed to a wide audience, in particular to mathematicians...
The aim of the present book is to propose a new algebraic approach to the study of norm stability of operator sequences which arise, for example, via ...
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The Method of Fractional Steps: The Solution of Problems of Mathematical Physics in Several Variables
ISBN: 9783642651106 / Angielski / Miękka / 160 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The method of. fractional steps, known familiarly as the method oi splitting, is a remarkable technique, developed by N. N. Yanenko and his collaborators, for solving problems in theoretical mechanics numerically. It is applicable especially to potential problems, problems of elasticity and problems of fluid dynamics. Most of the applications at the present time have been to incompressible flow with free bound aries and to viscous flow at low speeds. The method offers a powerful means of solving the Navier-Stokes equations and the results produced so far cover a range of Reynolds numbers far...
The method of. fractional steps, known familiarly as the method oi splitting, is a remarkable technique, developed by N. N. Yanenko and his collaborat...
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Monte Carlo Methods: In Boundary Value Problems
ISBN: 9783642759796 / Angielski / Miękka / 283 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book deals with Random Walk Methods for solving multidimensional boundary value problems. Monte Carlo algorithms are constructed for three classes of problems: (1) potential theory, (2) elasticity, and (3) diffusion. Some of the advantages of our new methods as compared to conventional numerical methods are that they cater for stochasticities in the boundary value problems and complicated shapes of the boundaries.
This book deals with Random Walk Methods for solving multidimensional boundary value problems. Monte Carlo algorithms are constructed for three classe...
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Numerical Continuation Methods: An Introduction
ISBN: 9783642647642 / Angielski / Miękka / 388 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Over the past fifteen years two new techniques have yielded extremely important contributions toward the numerical solution of nonlinear systems of equations. This book provides an introduction to and an up-to-date survey of numerical continuation methods (tracing of implicitly defined curves) of both predictor-corrector and piecewise-linear types. It presents and analyzes implementations aimed at applications to the computation of zero points, fixed points, nonlinear eigenvalue problems, bifurcation and turning points, and economic equilibria. Many algorithms are presented in a pseudo code...
Over the past fifteen years two new techniques have yielded extremely important contributions toward the numerical solution of nonlinear systems of eq...
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Sequence Transformations
ISBN: 9783642648021 / Angielski / Miękka / 252 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The book gives a very clear and concise summary of the important fields of sequence transformations and convergence acceleration methods. Some of the outstanding features are: - precise definitions of algorithmic sequence transformations, - a study of the power of sequence transformations, - proof of negative results on acceleration methods (namely, that some sequence families are not accelerable), - new algorithms for convergence acceleration (in particular automatic selection procedures). For researchers and graduate students working in or with convergence acceleration methods and sequence...
The book gives a very clear and concise summary of the important fields of sequence transformations and convergence acceleration methods. Some of the ...
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Numerical Techniques for Stochastic Optimization
ISBN: 9783642648137 / Angielski / Miękka / 571 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Rapid changes in today's environment emphasize the need for models and meth- ods capable of dealing with the uncertainty inherent in virtually all systems re- lated to economics, meteorology, demography, ecology, etc. Systems involving interactions between man, nature and technology are subject to disturbances which may be unlike anything which has been experienced in the past. In the technological revolution increases uncertainty-as each new stage particular, perturbs existing knowledge of structures, limitations and constraints. At the same time, many systems are often too complex to allow...
Rapid changes in today's environment emphasize the need for models and meth- ods capable of dealing with the uncertainty inherent in virtually all sys...
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Elements of Scientific Computing
ISBN: 9783642265198 / Angielski / Miękka / 468 str. Termin realizacji zamówienia: ok. 5-8 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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Stochastic Modelling in Physical Oceanography
ISBN: 9781461275336 / Angielski / Miękka / 466 str. Termin realizacji zamówienia: ok. 5-8 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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Sparse Grid Quadrature in High Dimensions with Applications in Finance and Insurance
ISBN: 9783642265631 / Angielski / Miękka / 192 str. Termin realizacji zamówienia: ok. 5-8 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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Theory and Numerics of Differential Equations: Durham 2000
ISBN: 9783642075339 / Angielski / Miękka / 282 str. Termin realizacji zamówienia: ok. 5-8 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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Linear Turning Point Theory
ISBN: 9781461270089 / Angielski / Miękka / 246 str. Termin realizacji zamówienia: ok. 5-8 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: ok. 5-8 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: ok. 5-8 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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Adaptive Moving Mesh Methods
ISBN: 9781461427087 / Angielski / Miękka / 434 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is about adaptive mesh generation and moving mesh methods for the numerical solution of time-dependent partial differential equations. It presents a general framework and theory for adaptive mesh generation and gives a comprehensive treatment of moving mesh methods and their basic components, along with their application for a number of nontrivial physical problems. Many explicit examples with computed figures illustrate the various methods and the effects of parameter choices for those methods. Graduate students, researchers and practitioners working in this area will benefit... This book is about adaptive mesh generation and moving mesh methods for the numerical solution of time-dependent partial differential equations. It... |
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Lanczos Algorithms for Large Symmetric Eigenvalue Computations Vol. II Programs
ISBN: 9781468491807 / Angielski / Miękka / 500 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
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The Concept of Stability in Numerical Mathematics
ISBN: 9783642393853 / Angielski / Twarda / 188 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this book, the author compares the meaning of stability in different subfields of numerical mathematics. Concept of Stability in numerical mathematics opens by examining the stability of finite algorithms. A more precise definition of stability holds for quadrature and interpolation methods, which the following chapters focus on. The discussion then progresses to the numerical treatment of ordinary differential equations (ODEs). While one-step methods for ODEs are always stable, this is not the case for hyperbolic or parabolic differential equations, which are investigated next.... In this book, the author compares the meaning of stability in different subfields of numerical mathematics. Concept of Stability in numerical... |
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