A Spectral Algorithm for Solving the Relativistic Vlasov-Maxwell Equations

A Spectral Algorithm for Solving the Relativistic Vlasov-Maxwell Equations PDF Author: John V. Shebalin
Publisher:
ISBN:
Category : Algorithms
Languages : en
Pages : 30

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Book Description
A spectral method algorithm is developed for the numerical solution of the full six-dimensional Vlasov-Maxwell system of equations. Here, the focus is on the electron ditribution function, with positive ions providing a constant background. The algorithm consists of a Jacobi polynomial-spherical harmonic formulation in velocity space and a trigonometric formulation in position space. A transform procedure is used to evaluate nonlinear terms. The algorithm is suitable for performing moderate resolution simulations on currently available supercomputers for both scientific and engineering applications.

A Spectral Algorithm for Solving the Relativistic Vlasov-Maxwell Equations

A Spectral Algorithm for Solving the Relativistic Vlasov-Maxwell Equations PDF Author: John V. Shebalin
Publisher:
ISBN:
Category : Algorithms
Languages : en
Pages : 30

Get Book Here

Book Description
A spectral method algorithm is developed for the numerical solution of the full six-dimensional Vlasov-Maxwell system of equations. Here, the focus is on the electron ditribution function, with positive ions providing a constant background. The algorithm consists of a Jacobi polynomial-spherical harmonic formulation in velocity space and a trigonometric formulation in position space. A transform procedure is used to evaluate nonlinear terms. The algorithm is suitable for performing moderate resolution simulations on currently available supercomputers for both scientific and engineering applications.

Mathematical Reviews

Mathematical Reviews PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1884

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The Cauchy Problem in Kinetic Theory

The Cauchy Problem in Kinetic Theory PDF Author: Robert T. Glassey
Publisher: SIAM
ISBN: 0898713676
Category : Science
Languages : en
Pages : 246

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Book Description
Studies the basic equations of kinetic theory in all of space, and contains up-to-date, state-of-the-art treatments of initial-value problems for the major kinetic equations. This is the only existing book to treat Boltzmann-type problems and Vlasov-type problems together. Although describing very different phenomena, these equations share the same streaming term.

INIS Atomindex

INIS Atomindex PDF Author:
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 640

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SIAM Journal on Scientific Computing

SIAM Journal on Scientific Computing PDF Author:
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 806

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Applied Mechanics Reviews

Applied Mechanics Reviews PDF Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 1380

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Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports PDF Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1134

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International Aerospace Abstracts

International Aerospace Abstracts PDF Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 944

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Plasma Physics via Computer Simulation

Plasma Physics via Computer Simulation PDF Author: C.K. Birdsall
Publisher: CRC Press
ISBN: 1482263068
Category : Science
Languages : en
Pages : 504

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Book Description
Divided into three main parts, the book guides the reader to an understanding of the basic concepts in this fascinating field of research. Part 1 introduces you to the fundamental concepts of simulation. It examines one-dimensional electrostatic codes and electromagnetic codes, and describes the numerical methods and analysis. Part 2 explores the mathematics and physics behind the algorithms used in Part 1. In Part 3, the authors address some of the more complicated simulations in two and three dimensions. The book introduces projects to encourage practical work Readers can download plasma modeling and simulation software — the ES1 program — with implementations for PCs and Unix systems along with the original FORTRAN source code. Now available in paperback, Plasma Physics via Computer Simulation is an ideal complement to plasma physics courses and for self-study.

Global Pseudo-differential Calculus on Euclidean Spaces

Global Pseudo-differential Calculus on Euclidean Spaces PDF Author: Fabio Nicola
Publisher: Springer Science & Business Media
ISBN: 376438512X
Category : Mathematics
Languages : en
Pages : 309

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Book Description
This book presents a global pseudo-differential calculus in Euclidean spaces, which includes SG as well as Shubin classes and their natural generalizations containing Schroedinger operators with non-polynomial potentials. This calculus is applied to study global hypoellipticity for several pseudo-differential operators. The book includes classic calculus as a special case. It will be accessible to graduate students and of benefit to researchers in PDEs and mathematical physics.