Sparse Grids and Applications

Sparse Grids and Applications PDF Author: Jochen Garcke
Publisher: Springer Science & Business Media
ISBN: 3642317022
Category : Mathematics
Languages : en
Pages : 290

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Book Description
In the recent decade, there has been a growing interest in the numerical treatment of high-dimensional problems. It is well known that classical numerical discretization schemes fail in more than three or four dimensions due to the curse of dimensionality. The technique of sparse grids helps overcome this problem to some extent under suitable regularity assumptions. This discretization approach is obtained from a multi-scale basis by a tensor product construction and subsequent truncation of the resulting multiresolution series expansion. This volume of LNCSE is a collection of the papers from the proceedings of the workshop on sparse grids and its applications held in Bonn in May 2011. The selected articles present recent advances in the mathematical understanding and analysis of sparse grid discretization. Aspects arising from applications are given particular attention.

Sparse Grids and Applications

Sparse Grids and Applications PDF Author: Jochen Garcke
Publisher: Springer Science & Business Media
ISBN: 3642317022
Category : Mathematics
Languages : en
Pages : 290

Get Book Here

Book Description
In the recent decade, there has been a growing interest in the numerical treatment of high-dimensional problems. It is well known that classical numerical discretization schemes fail in more than three or four dimensions due to the curse of dimensionality. The technique of sparse grids helps overcome this problem to some extent under suitable regularity assumptions. This discretization approach is obtained from a multi-scale basis by a tensor product construction and subsequent truncation of the resulting multiresolution series expansion. This volume of LNCSE is a collection of the papers from the proceedings of the workshop on sparse grids and its applications held in Bonn in May 2011. The selected articles present recent advances in the mathematical understanding and analysis of sparse grid discretization. Aspects arising from applications are given particular attention.

Theory of Fusion Plasmas

Theory of Fusion Plasmas PDF Author: Olivier Sauter
Publisher: American Institute of Physics
ISBN: 9780735406001
Category : Science
Languages : en
Pages : 400

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Book Description
The Joint Varenna-Lausanne International Workshop on Theory of Fusion Plasmas takes place every other year in a place particularly favorable for informal and in depth discussions. Invited and contributed papers present state-of-the art researches in theoretical plasma physics, covering all domains relevant to fusion plasmas. This workshop always allows a fruitful mix of experienced researchers and students, to allow for a better understanding of the key theoretical physics models and applications, such as: Theoretical issues related to burning plasmas; Anomalous Transport (Turbulence, Coherent Structures, Microinstabilities) RF Heating and Current Drive; Macroinstabilities; Plasma-Edge Physics and Divertors; Fast particles instabilities.

Turbulent Transport In Magnetized Plasmas

Turbulent Transport In Magnetized Plasmas PDF Author: C Wendell Horton, Jr
Publisher: World Scientific
ISBN: 9814483885
Category : Science
Languages : en
Pages : 518

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Book Description
The book explains how magnetized plasmas self-organize in states of electromagnetic turbulence that transports particles and energy out of the core plasma faster than anticipated by the fusion scientists designing magnetic confinement systems in the 20th century. It describes theory, experiments and simulations in a unified and up-to-date presentation of the issues of achieving nuclear fusion power.

Collisional Transport in Magnetized Plasmas

Collisional Transport in Magnetized Plasmas PDF Author: Per Helander
Publisher: Cambridge University Press
ISBN: 9780521020985
Category : Science
Languages : en
Pages : 316

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Book Description
A graduate level text treating transport theory, an essential element of theoretical plasma physics.

Flux Coordinates and Magnetic Field Structure

Flux Coordinates and Magnetic Field Structure PDF Author: William D. D'haeseleer
Publisher: Springer Science & Business Media
ISBN: 364275595X
Category : Science
Languages : en
Pages : 250

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Book Description
Flux Coordinates and Magnetic Field Structure gives a systematic and rigorous presentation of the mathematical framework and principles underlying the description of magnetically confined fusion plasmas. After a brief treatment of vector algebra in curvilinear coordinate systems the book introduces concepts such as flux surfaces, rotational transforms, and magnetic differential equations. The various specific types of coordinate system are dealt with in detail. Researchers and advanced students in plasma physics, electromagnetics, and mathematical physics will greatly benefit from this useful guide and reference book.

World Survey of Activities in Controlled Fusion Research

World Survey of Activities in Controlled Fusion Research PDF Author:
Publisher:
ISBN:
Category : Controlled fusion
Languages : en
Pages : 658

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Book Description


Turbulent Transport in Magnetized Plasmas

Turbulent Transport in Magnetized Plasmas PDF Author: Wendell Horton
Publisher: World Scientific
ISBN: 9814383546
Category : Science
Languages : en
Pages : 518

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Book Description
The book explains how magnetized plasmas self-organize in states of electromagnetic turbulence that transports particles and energy out of the core plasma faster than anticipated by the fusion scientists designing magnetic confinement systems in the 20th century. It describes theory, experiments and simulations in a unified and up-to-date presentation of the issues of achieving nuclear fusion power.

Energetic Particles in Tokamak Plasmas

Energetic Particles in Tokamak Plasmas PDF Author: Sergei Sharapov
Publisher: CRC Press
ISBN: 1351002813
Category : Science
Languages : en
Pages : 156

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Book Description
The study of energetic particles in magnetic fusion plasmas is key to the development of next-generation "burning" plasma fusion experiments, such as the International Thermonuclear Experimental Reactor (ITER) and the Demonstration Power Station (DEMO). This book provides a comprehensive introduction and analysis of the experimental data on how fast ions behave in fusion-grade plasmas, featuring the latest ground-breaking results from world-leading machines such as the Joint European Torus (JET) and the Mega Ampere Spherical Tokamak (MAST). It also details Alfvenic instabilities, driven by energetic ions, which can cause enhanced transport of energetic ions. MHD spectroscopy of plasma via observed Alfvenic waves called "Alfvén spectroscopy" is introduced and several applications are presented. This book will be of interest to graduate students, researchers, and academics studying fusion plasma physics. Features: Provides a comprehensive overview of the field in one cohesive text, with the main physics phenomena explained qualitatively first. Authored by an authority in the field, who draws on his extensive experience of working with energetic particles in tokamak plasmas. Is suitable for extrapolating energetic particle phenomena in fusion to other plasma types, such as solar and space plasmas.

Interfaces in Crystalline Materials

Interfaces in Crystalline Materials PDF Author: A.P. Sutton
Publisher: OUP Oxford
ISBN: 9780199211067
Category : Science
Languages : en
Pages : 0

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Book Description
The study of interfaces within and between materials is a central field which is relevant to almost all aspects of materials science. This book is intended to serve as a graduate text consisting of four inter-related parts spanning the structure, thermodynamics, kinetics, and properties of interfaces in crystalline materials.

100 Volumes of 'Notes on Numerical Fluid Mechanics'

100 Volumes of 'Notes on Numerical Fluid Mechanics' PDF Author: Ernst Heinrich Hirschel
Publisher: Springer Science & Business Media
ISBN: 3540708057
Category : Technology & Engineering
Languages : en
Pages : 507

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Book Description
In a book that will be required reading for engineers, physicists, and computer scientists, the editors have collated a number of articles on fluid mechanics, written by some of the world’s leading researchers and practitioners in this important subject area.