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Nonlinear Waves: Theory, Computer Simulation, Experiment, M.D. Todorov


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Автор: M.D. Todorov
Название:  Nonlinear Waves: Theory, Computer Simulation, Experiment
ISBN: 9781643270449
Издательство: Mare Nostrum (Eurospan)
Классификация:


ISBN-10: 1643270443
Обложка/Формат: Paperback
Страницы: 184
Вес: 0.33 кг.
Дата издания: 30.09.2018
Серия: Physics
Язык: English
Размер: 254 x 178 x 10
Ключевые слова: Classical mechanics,Dynamics & statics,Mathematical physics, SCIENCE / Mechanics / General,SCIENCE / Mechanics / Dynamics,SCIENCE / Physics / Mathematical & Computational
Подзаголовок: Theory, computer simulation, experiment
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Поставляется из: Англии
Описание: The Boussinesq equation is the first model of surface waves in shallow water that considers the nonlinearity and the dispersion and their interaction as a reason for wave stability known as the Boussinesq paradigm. This balance bears solitary waves that behave like quasi-particles. At present, there are some Boussinesq-like equations. The prevalent part of the known analytical and numerical solutions, however, relates to the 1d case while for multidimensional cases, almost nothing is known so far. An exclusion is the solutions of the Kadomtsev-Petviashvili equation. The difficulties originate from the lack of known analytic initial conditions and the nonintegrability in the multidimensional case. Another problem is which kind of nonlinearity will keep the temporal stability of localized solutions.The system of coupled nonlinear Schroedinger equations known as well as the vector Schroedinger equation is a soliton supporting dynamical system. It is considered as a model of light propagation in Kerr isotropic media. Along with that, the phenomenology of the equation opens a prospect of investigating the quasi-particle behavior of the interacting solitons. The initial polarization of the vector Schroedinger equation and its evolution evolves from the vector nature of the model. The existence of exact (analytical) solutions usually is rendered to simpler models, while for the vector Schroedinger equation such solutions are not known. This determines the role of the numerical schemes and approaches. The vector Schroedinger equation is a spring-board for combining the reduced integrability and conservation laws in a discrete level.The experimental observation and measurement of ultrashort pulses in waveguides is a hard job and this is the reason and stimulus to create mathematical models for computer simulations, as well as reliable algorithms for treating the governing equations. Along with the nonintegrability, one more problem appears here - the multidimensionality and necessity to split and linearize the operators in the appropriate way.


Nonlinear Waves: Theory, Computer Simulation, Experiment

Автор: M.D. Todorov
Название: Nonlinear Waves: Theory, Computer Simulation, Experiment
ISBN: 1643270486 ISBN-13(EAN): 9781643270487
Издательство: Mare Nostrum (Eurospan)
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Цена: 14692.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The Boussinesq equation is the first model of surface waves in shallow water that considers the nonlinearity and the dispersion and their interaction as a reason for wave stability known as the Boussinesq paradigm. This balance bears solitary waves that behave like quasi-particles. At present, there are some Boussinesq-like equations. The prevalent part of the known analytical and numerical solutions, however, relates to the 1d case while for multidimensional cases, almost nothing is known so far. An exclusion is the solutions of the Kadomtsev-Petviashvili equation. The difficulties originate from the lack of known analytic initial conditions and the nonintegrability in the multidimensional case. Another problem is which kind of nonlinearity will keep the temporal stability of localized solutions.The system of coupled nonlinear Schroedinger equations known as well as the vector Schroedinger equation is a soliton supporting dynamical system. It is considered as a model of light propagation in Kerr isotropic media. Along with that, the phenomenology of the equation opens a prospect of investigating the quasi-particle behavior of the interacting solitons. The initial polarization of the vector Schroedinger equation and its evolution evolves from the vector nature of the model. The existence of exact (analytical) solutions usually is rendered to simpler models, while for the vector Schroedinger equation such solutions are not known. This determines the role of the numerical schemes and approaches. The vector Schroedinger equation is a spring-board for combining the reduced integrability and conservation laws in a discrete level.The experimental observation and measurement of ultrashort pulses in waveguides is a hard job and this is the reason and stimulus to create mathematical models for computer simulations, as well as reliable algorithms for treating the governing equations. Along with the nonintegrability, one more problem appears here - the multidimensionality and necessity to split and linearize the operators in the appropriate way.

Computer Simulation Studies in Condensed-Matter Physics XVII

Автор: David P. Landau; Steven P. Lewis; Heinz-Bernd Sch?
Название: Computer Simulation Studies in Condensed-Matter Physics XVII
ISBN: 3642065872 ISBN-13(EAN): 9783642065873
Издательство: Springer
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Цена: 28732.00 р.
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Описание: Over ?fteen years ago, because of the tremendous increase in the power and utility of computer simulations, The University of Georgia formed the ?rst institutional unit devoted to the use of simulations in research and teaching: The Center for Simulational Physics.

Computer Simulation Studies in Condensed-Matter Physics XIV

Автор: D.P. Landau; S.P. Lewis; H.-B. Sch?ttler
Название: Computer Simulation Studies in Condensed-Matter Physics XIV
ISBN: 3642639674 ISBN-13(EAN): 9783642639678
Издательство: Springer
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Цена: 18284.00 р.
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Описание: Over the last 30 years, Professor David P. This event was held in conjunction with and immediately following the annual computer simulations workshop that Professor Landau founded 14 years ago.

Computer Simulation of Ion-Solid Interactions

Автор: Wolfgang Eckstein
Название: Computer Simulation of Ion-Solid Interactions
ISBN: 3642735150 ISBN-13(EAN): 9783642735158
Издательство: Springer
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Цена: 14365.00 р.
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Описание: In this book the author discusses the investigation of ion bombardment of solids by computer simulation, with the aim of demonstrating the usefulness of this approach to the problem of interactions of ions with solids.

Computer simulation of liquids

Автор: Allen, Michael Patrick Tildesley, Dominic J.
Название: Computer simulation of liquids
ISBN: 0198803206 ISBN-13(EAN): 9780198803201
Издательство: Oxford Academ
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Цена: 10296.00 р.
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Описание: This is the second edition of a widely used practical guide to computer simulations of liquids. The technique uses a model for the way molecules interact, to predict how large numbers of them behave in liquid state. This essential introduction to this rapidly growing field is complete with illustrative computer code.

Computer Simulation Studies in Condensed-Matter Physics XVI

Автор: David P. Landau; Steven P. Lewis; Heinz-Bernd Sch?
Название: Computer Simulation Studies in Condensed-Matter Physics XVI
ISBN: 3642639232 ISBN-13(EAN): 9783642639234
Издательство: Springer
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Цена: 18284.00 р.
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Описание: This status report features the most recent developments in the field, spanning a wide range of topical areas in the computer simulation of condensed matter/materials physics.

Computer Simulation Studies in Condensed-Matter Physics VI

Автор: David P. Landau; K.K. Mon; Heinz-Bernd Sch?ttler
Название: Computer Simulation Studies in Condensed-Matter Physics VI
ISBN: 364278450X ISBN-13(EAN): 9783642784507
Издательство: Springer
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Цена: 18284.00 р.
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Описание: Computer Simulation Studies in Condensed-Matter Physics VI provides a broad overview of recent developments in this field. Based on the last workshop, it presents invited and contributed papers which describe new physical results, simulational techniques and ways of interpreting simulational data. Both classical and quantum systems are discussed.

Computer Simulation in Chemical Physics

Автор: M.P. Allen; D.J. Tildesley
Название: Computer Simulation in Chemical Physics
ISBN: 9401047340 ISBN-13(EAN): 9789401047340
Издательство: Springer
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Цена: 12157.00 р.
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Описание: Proceedings of the NATO Advanced Study Institute on `New Perspectives in Computer Simulation in Chemical Physics`, Alghero, Sardinia, Italy, September 14-24, 1992

Computer Simulation Tools for X-ray Analysis

Автор: S?rgio Luiz Morelh?o
Название: Computer Simulation Tools for X-ray Analysis
ISBN: 3319372963 ISBN-13(EAN): 9783319372969
Издательство: Springer
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Цена: 9141.00 р.
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Описание: The main goal of this book is to break down the huge barrier of difficulties faced by beginners from many fields (Engineering, Physics, Chemistry, Biology, Medicine, Material Science, etc.) in using X-rays as an analytical tool in their research.

Computer Simulation of Dynamic Phenomena

Автор: Mark L. Wilkins
Название: Computer Simulation of Dynamic Phenomena
ISBN: 3642083153 ISBN-13(EAN): 9783642083150
Издательство: Springer
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Цена: 18284.00 р.
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Описание: This text describes computer programs for simulating phenomena in hydro- dynamics, gas dynamics, and elastic plastic flow in one, two, and three dimen- sions. Included in the two-dimensional program are Maxwell's equations and thermal and radiation diffusion. The programs were developed by the author during the years 1952-1985 at the Lawrence Livermore National Laboratory. The largest main-frame computers available in the early 1950s were re- quired to solve hydrodynamic problems in one space dimension by using forty mass points. Subsequently, numerical methods were developed for solv- ing problems in two and three space dimensions, but application of these methods had to wait until the main-frame computers were large enough to tackle meaningful problems. At the present time, lap-top computers can use these methods to solve problems in three space dimensions with the detail of 10 000 mass points. The numerical procedures described in the text permit the exact con- servation of physical properties in the solutions of the fundamental laws of mechanics: (1) conservation of mass, (2) conservation of momentum, (3) con- servation of energy. The laws of mechanics are universal in their application. Examples are given for the same computer simulation programs solving prob- lems of penetration mechanics, surface waves from earthquakes, shock waves in solids and gases, failure of materials.

Computer Simulation Studies in Condensed Matter Physics II

Автор: David P. Landau; Kin K. Mon; Heinz-Bernd Sch?ttler
Название: Computer Simulation Studies in Condensed Matter Physics II
ISBN: 3642752365 ISBN-13(EAN): 9783642752360
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Topics covered include: - parallelization and vectorization - cellular automata, fractals and aggregation - damage spreading - molecular dynamics of proteins and rotating molecules in solids - quantum Monte Carlo studies of strongly correlated electron systems

Computer Simulation Studies in Condensed Matter Physics III

Автор: David P. Landau; K.K. Mon; Heinz-Bernd Sch?ttler
Название: Computer Simulation Studies in Condensed Matter Physics III
ISBN: 3642763847 ISBN-13(EAN): 9783642763847
Издательство: Springer
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Цена: 16769.00 р.
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Описание: Aseparate section is devoted to invited papers on quantum systems, including new results for strongly correlated electron and quantum spin models believed to be important for the description of high-Tc superconductors.


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