Numerical Integration, T.O. Espelid; Alan Genz

Автор: Hairer
Название: Geometric numerical integration
ISBN: 364205157X ISBN-13(EAN): 9783642051579
Издательство: Springer
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Описание: This book covers numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions. The long-time behavior of the numerical solutions is studied using a backward error analysis combined with KAM theory.

Автор: LeVeque Randall J.
Название: Numerical Methods for Conservation Laws
ISBN: 3764327235 ISBN-13(EAN): 9783764327231
Издательство: Springer
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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: Guillermo Curbera; Gerd Mockenhaupt; Werner J. Ric
Название: Vector Measures, Integration and Related Topics
ISBN: 3034602103 ISBN-13(EAN): 9783034602105
Издательство: Springer
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Описание: papers represent rather well most of the topics covered in the conference.

Автор: Hairer, E.
Название: Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations
ISBN: 3540306633 ISBN-13(EAN): 9783540306634
Издательство: Springer
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Описание: This book covers numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions. The long-time behavior of the numerical solutions is studied using a backward error analysis combined with KAM theory.

Автор: Arnold R. Krommer; Christoph W. Ueberhuber
Название: Numerical Integration
ISBN: 3540584102 ISBN-13(EAN): 9783540584100
Издательство: Springer
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Цена: 11179.00 р.
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Описание: This is a comprehensive treatment of both theoretical and computational aspects of numerical integration. Emphasis is placed on the potential parallelism of numerical integration problems and their utilization by means of dynamic load distribution techniques.

Автор: H?MMERLIN; BRASS
Название: Numerical Integration III
ISBN: 3764322055 ISBN-13(EAN): 9783764322052
Издательство: Springer
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Автор: J. Hinze
Название: Numerical Integration of Differential Equations and Large Linear Systems
ISBN: 3540119701 ISBN-13(EAN): 9783540119708
Издательство: Springer
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Автор: BRASS; H?MMERLIN
Название: Numerical Integration IV
ISBN: 3034863403 ISBN-13(EAN): 9783034863407
Издательство: Springer
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Описание: Algorithms for the numerical computation of definite integrals have been proposed for more than 300 years, but practical considerations have led to problems of ever-increasing complexity, so that, even with current computing speeds, numerical integration may be a difficult task. High dimension and complicated structure of the region of integration and singularities of the integrand are the main sources of difficulties.

Автор: Sever S. Dragomir; Themistocles RASSIAS
Название: Ostrowski Type Inequalities and Applications in Numerical Integration
ISBN: 9048159903 ISBN-13(EAN): 9789048159901
Издательство: Springer
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Описание: It was noted in the preface of the book "Inequalities Involving Functions and Their Integrals and Derivatives", Kluwer Academic Publishers, 1991, by D.S.

Автор: Bichteler
Название: Stochastic Integration with Jumps
ISBN: 0521811295 ISBN-13(EAN): 9780521811293
Издательство: Cambridge Academ
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Описание: The complete theory of stochastic differential equations driven by jumps, their stability, and numerical approximation theories.

Автор: Protter Philip E.
Название: Stochastic Integration and Differential Equations / Second Edition, Version 2.1
ISBN: 3540003134 ISBN-13(EAN): 9783540003137
Издательство: Springer
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Описание: Includes the proof of the fundamental Doob-Meyer decomposition theorem. This book contains the more general version of the Girsanov theorem due to Lenglart and martingale representation, including both the Jacod-Yor theory and Emery`s examples of martingales that actually have martingale representation.