Exact Solutions in Three-Dimensional Gravity, Alberto A. Garcia-Diaz

Автор: Victor A. Galaktionov and Sergei R. Svirshchevskii
Название: Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics
ISBN: 1584886633 ISBN-13(EAN): 9781584886631
Издательство: Taylor&Francis
Рейтинг:
Цена: 183750.00 T
Наличие на складе: Невозможна поставка.
Описание: Providing exact solutions of more than 200 nonlinear equations and models, this book begins with classical as well as more recent examples of interesting solutions on linear invariant subspaces for nonlinear operators. In the remainder of the book, the au

Автор: Sergey V. Meleshko
Название: Methods for Constructing Exact Solutions of Partial Differential Equations
ISBN: 1441937692 ISBN-13(EAN): 9781441937698
Издательство: Springer
Рейтинг:
Цена: 174130.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Differential equations, especially nonlinear, present the most effective way for describing complex physical processes. This book aims to provide scientists, engineers and students with an easy-to-follow, but comprehensive, description of the methods for constructing exact solutions of differential equations.

Автор: Sergey Lemeshevsky, Piotr Matus, Dmitriy Poliakov
Название: Exact Finite-Difference Schemes
ISBN: 3110489643 ISBN-13(EAN): 9783110489644
Издательство: Walter de Gruyter
Рейтинг:
Цена: 123910.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:

Exact Finite-Difference Schemes is a first overview of the topic also describing the state-of-the-art in this field of numerical analysis. Construction of exact difference schemes for various parabolic and elliptic partial differential equations are discussed, including vibrations and transport problems. After this, applications are discussed, such as the discretisation of ODEs and PDEs and numerical methods for stochastic differential equations.

Автор: Petrovskii, Sergei V. , Li, Bai-Lian
Название: Exactly Solvable Models of Biological Invasion
ISBN: 0367392410 ISBN-13(EAN): 9780367392413
Издательство: Taylor&Francis
Рейтинг:
Цена: 65320.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:

Much of our current knowledge on biological invasion was derived from field studies, but many recent advances relied heavily on mathematics and computing, particularly mathematical modeling. While numerical simulations are clearly a useful approach, they have some serious drawbacks. Approximations errors and the number of parameter values can have a significant impact on the simulation results, the extent of which often remains obscure. Such difficulties do not arise, however, when the problem can be solved analytically.

Exactly Solvable Models of Biological Invasion demonstrates the advantages and methods of obtaining exact solutions of partial differential equations that describe nonlinear problems encountered in the study of invasive species spread. With emphasis on PDEs of diffusion-reaction type, the authors present a comprehensive collection of exactly solvable models and a unified, self-contained description of the relevant mathematical methods. In doing so, they also provide new insight into important issues such as the impact of the Allee effect, the impact of predation, and the interplay between different modes of species dispersal. Full calculation details make this presentation accessible to biologists as well as applied mathematicians, and a range of ecological examples and applications demonstrate the utility of exact methods in practice.

Exact solutions provide an immediate, complete description of system dynamics for a wide class of initial conditions and serve as a convenient tool for testing numerical algorithms and codes used in more specialized studies. This book lays the groundwork for bringing the power of exactly solvable models to bear on real-world ecological problems.

Автор: Bruno Nachtergaele; Elliott H. Lieb; Jan Philip So
Название: Condensed Matter Physics and Exactly Soluble Models
ISBN: 3642060935 ISBN-13(EAN): 9783642060939
Издательство: Springer
Рейтинг:
Цена: 104480.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is the third Selecta of publications of Elliott Lieb, the first two being Stabil- ity of Matter: From Atoms to Stars, edited by Walter Thirring, and Inequalities, edited by Michael Loss and Mary Beth Ruskai.

Название: Computational Methods for Three-Dimensional Microscopy Recon
ISBN: 1461495202 ISBN-13(EAN): 9781461495208
Издательство: Springer
Рейтинг:
Цена: 102480.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Computational Methods for Three-Dimensional Microscopy Reconstruction

Автор: Maurice Meneguzzi; Annick Pouquet; Pierre-Louis Su
Название: Small-Scale Structures in Three-Dimensional Hydrodynamic and Magnetohydrodynamic Turbulence
ISBN: 3662140241 ISBN-13(EAN): 9783662140246
Издательство: Springer
Рейтинг:
Цена: 104480.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Small-scale structures in turbulent flows appear as a subtle mixture of order and chaos that could play an important role in the energetics.

Автор: A.F.G. Wyatt; H.J. Lauter
Название: Excitations in Two-Dimensional and Three-Dimensional Quantum Fluids
ISBN: 1468459392 ISBN-13(EAN): 9781468459395
Издательство: Springer
Рейтинг:
Цена: 104480.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Proceedings of a NATO ARW held in Exeter, UK, August 10--15, 1990

Автор: Massimiliano Berti; Jean-Marc Delort
Название: Almost Global Solutions of Capillary-Gravity Water Waves Equations on the Circle
ISBN: 3319994859 ISBN-13(EAN): 9783319994857
Издательство: Springer
Рейтинг:
Цена: 41920.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The goal of this monograph is to prove that any solution of the Cauchy problem for the capillary-gravity water waves equations, in one space dimension, with periodic, even in space, small and smooth enough initial data, is almost globally defined in time on Sobolev spaces, provided the gravity-capillarity parameters are taken outside an exceptional subset of zero measure. In contrast to the many results known for these equations on the real line, with decaying Cauchy data, one cannot make use of dispersive properties of the linear flow. Instead, a normal forms-based procedure is used, eliminating those contributions to the Sobolev energy that are of lower degree of homogeneity in the solution. Since the water waves equations form a quasi-linear system, the usual normal forms approaches would face the well-known problem of losses of derivatives in the unbounded transformations. To overcome this, after a paralinearization of the capillary-gravity water waves equations, we perform several paradifferential reductions to obtain a diagonal system with constant coefficient symbols, up to smoothing remainders. Then we start with a normal form procedure where the small divisors are compensated by the previous paradifferential regularization. The reversible structure of the water waves equations, and the fact that we seek solutions even in space, guarantees a key cancellation which prevents the growth of the Sobolev norms of the solutions.