Nonlinear Numerical Methods and Rational Approximation, A. Cuyt
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: 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: 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: S?ren Bartels Название: Numerical Methods for Nonlinear Partial Differential Equations ISBN: 3319137964 ISBN-13(EAN): 9783319137964 Издательство: Springer Рейтинг: Цена: 88500.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations.
Автор: Ronald DeVore; Angela Kunoth Название: Multiscale, Nonlinear and Adaptive Approximation ISBN: 3642424570 ISBN-13(EAN): 9783642424571 Издательство: Springer Рейтинг: Цена: 222670.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Introduction: Wolfgang Dahmen's mathematical work.- The way things were in multivariate splines: A personal view.- On the efficient computation of high-dimensional integrals and the approximation by exponential sums.- Adaptive and anisotropic piecewise polynomial approximation.- Anisotropic function spaces with applications.- Nonlinear approximation and its applications.- Univariate subdivision and multi-scale transforms: The nonlinear case.- Rapid solution of boundary integral equations by wavelet Galerkin schemes.- Learning out of leaders.- Optimized wavelet preconditioning.- Multiresolution schemes for conservation laws.- Theory of adaptive finite element methods: An introduction.- Adaptive wavelet methods for solving operator equations: An overview.- Optimal multilevel methods for (grad), (curl), and (div) systems on graded and unstructured grids.
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: 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: Harold Cohen Название: Numerical Approximation Methods ISBN: 148999159X ISBN-13(EAN): 9781489991591 Издательство: Springer Рейтинг: Цена: 69870.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book presents numerical and other approximation techniques for solving various types of mathematical problems that cannot be solved analytically. In addition to well known methods, it contains some non-standard approximation techniques.
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: S?ren Bartels Название: Numerical Methods for Nonlinear Partial Differential Equations ISBN: 3319356801 ISBN-13(EAN): 9783319356808 Издательство: Springer Рейтинг: Цена: 88500.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations.
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