Автор: LeVeque Randall J. Название: Numerical Methods for Conservation Laws ISBN: 3764327235 ISBN-13(EAN): 9783764327231 Издательство: Springer Рейтинг: Цена: 37260.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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: Chapra, Steven C. Название: Numerical methods for engineers ISBN: 007126759X ISBN-13(EAN): 9780071267595 Издательство: McGraw-Hill Рейтинг: Цена: 61770.00 T Наличие на складе: Невозможна поставка. Описание: Numerical Methods for Engineers
Автор: A. Cuyt Название: Nonlinear Numerical Methods and Rational Approximation II ISBN: 0792329678 ISBN-13(EAN): 9780792329671 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Includes proceedings of the international conference on Nonlinear Numerical Methods and Rational Approximation II, which Dr Cuyt organized at the University of Antwerp, Belgium, 5 - 11 September 1992.
Автор: Bartels Название: Numerical Approximation of Partial Differential Equations ISBN: 3319323539 ISBN-13(EAN): 9783319323534 Издательство: Springer Цена: 74530.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Finite element methods for approximating partial differential equations have reached a high degree of maturity, and are an indispensible tool in science and technology. This textbook aims at providing a thorough introduction to the construction, analysis, and implementation of finite element methods for model problems arising in continuum mechanics. The first part of the book discusses elementary properties of linear partial differential equations along with their basic numerical approximation, the functional-analytical framework for rigorously establishing existence of solutions, and the construction and analysis of basic finite element methods. The second part is devoted to the optimal adaptive approximation of singularities and the fast iterative solution of linear systems of equations arising from finite element discretizations. In the third part, the mathematical framework for analyzing and discretizing saddle-point problems is formulated, corresponding finte element methods are analyzed, and particular applications including incompressible elasticity, thin elastic objects, electromagnetism, and fluid mechanics are addressed. The book includes theoretical problems and practical projects for all chapters, and an introduction to the implementation of finite element methods.
Автор: R. Rautmann Название: Approximation Methods for Navier-Stokes Problems ISBN: 3540097341 ISBN-13(EAN): 9783540097341 Издательство: Springer Рейтинг: Цена: 41880.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Meinardus; Collatz; Werner Название: Numerische Methoden der Approximationstheorie/Numerical Methods of Approximation Theory ISBN: 3764308249 ISBN-13(EAN): 9783764308247 Издательство: Springer Рейтинг: Цена: 74530.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Der vorliegende Band stellt Vortragsmanuskripte einer am Mathematischen Forschungsinstitut, Oberwolfach, in der Zeit vom 25. bis 31. Mai 1975 veran- stalteten Tagung zusammen, die unter der Leitung der Unterzeichner stand. Die letzten dieser Tagungen uber numerische Methoden der Approximations- theorie fanden 1971 und 1973 statt - der Schwerpunkt lag bei Fragen der Numerik von Algorithmen zur Darstellung von Funktionen -, lieen aber bereits ein wachsendes Interesse an Anwendungen erkennen. Die diesjahrige Tagung war gekennzeichnet durch die Behandlung praktischer AufgabensteI- lungen sowie durch die Einbeziehung der Anwendungen aus Nachbargebie- ten bzw. die Verwendung der Methoden dieser Gebiete in der Approxima- tionstheorie, insbesondere wurde auch auf die Beziehungen von Optimierung und Kontrolltheorie zu speziellen approximationstheoretischen Aufgaben eingegangen. Der starke Einflu auf die numerischen Methoden zur Behand- lung von Differentialgleichungen wurde etwa bei der Methode der finiten Elemente oder bei Kollokationsaufgaben deutlich. So ist zu hoffen, da auch diese Tagung dazu beigetragen hat, Theorie und Anwendungen wieder starker zu verbinden. Die spezifische Atmosphare des Forschungsinstituts stimulierte einen intensi- ven, durch die breite internationale Streuung der Tagungsteilnehmer verstark- ten, fruchtbaren Gedankenaustausch. Zum Erfolg der Tagung trug - wie immer - die hervorragende Betreuung durch die Mitarbeiter und Angestellten des Forschungsinstituts und das verstandnisvolle Entgegenkommen von Herrn Kollege Barner bei. Unser besonderer Dank gilt ferner dem Birkhauser Verlag fur die sehr gute Ausstattung des Buches. L. COLLATZ, G. MEINARDUS, H. WERNER Inhaltsverzeichnis ANSELONE, P. M., LEE, J. W.: Double Approximation Methods for the Solution of Fredholm Integral Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Автор: A. Cuyt Название: Nonlinear Numerical Methods and Rational Approximation ISBN: 9027726698 ISBN-13(EAN): 9789027726698 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gu ik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; use Stein spaces. And in addition to this there are and prediction and electrical engineering can such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Автор: Alfio Quarteroni; B. Cockburn; C. Johnson; C.-W. S Название: Advanced Numerical Approximation of Nonlinear Hyperbolic Equations ISBN: 3540649778 ISBN-13(EAN): 9783540649779 Издательство: Springer Рейтинг: Цена: 71690.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The most effective methodologies in the framework of finite elements, finite differences, finite volumes spectral methods and kinetic methods, are addressed, in particular high-order shock capturing techniques, discontinuous Galerkin methods, adaptive techniques based upon a-posteriori error analysis.
Автор: Panos M. Pardalos Название: Approximation and Complexity in Numerical Optimization ISBN: 1441948295 ISBN-13(EAN): 9781441948298 Издательство: Springer Рейтинг: Цена: 278580.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: On the other hand, computational complexity, originating from the interactions between computer science and numeri- cal optimization, is one of the major theories that have revolutionized the approach to solving optimization problems and to analyzing their intrinsic difficulty.
Автор: Jukka Saranen; Gennadi Vainikko Название: Periodic Integral and Pseudodifferential Equations with Numerical Approximation ISBN: 364207538X ISBN-13(EAN): 9783642075384 Издательство: Springer Рейтинг: Цена: 153720.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: An attractive book on the intersection of analysis and numerical analysis, deriving classical boundary integral equations arising from the potential theory and acoustics. This self-contained monograph can be used as a textbook by graduate/postgraduate students. It also contains a lot of carefully chosen exercises.
Автор: ?ekanavi?ius Название: Approximation Methods in Probability Theory ISBN: 3319340719 ISBN-13(EAN): 9783319340715 Издательство: Springer Рейтинг: Цена: 53100.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book presents a wide range of well-known and less common methods used for estimating the accuracy of probabilistic approximations, including the Esseen type inversion formulas, the Stein method as well as the methods of convolutions and triangle function. Emphasising the correct usage of the methods presented, each step required for the proofs is examined in detail. As a result, this textbook provides valuable tools for proving approximation theorems.While Approximation Methods in Probability Theory will appeal to everyone interested in limit theorems of probability theory, the book is particularly aimed at graduate students who have completed a standard intermediate course in probability theory. Furthermore, experienced researchers wanting to enlarge their toolkit will also find this book useful.
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