An An's Books

Ray Tracing and Beyond

Phase Space Methods in Plasma Wave Theory

By: E. R. Tracy,A. J. Brizard,A. S. Richardson,A. N. Kaufman

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Ray Tracing and Beyond

Phase Space Methods in Plasma Wave Theory

By: E. R. Tracy,A. J. Brizard,A. S. Richardson,A. N. Kaufman

This complete introduction to the use of modern ray tracing techniques in plasma physics describes the powerful mathematical methods generally applicable to vector wave equations in non-uniform media, and clearly demonstrates the application of these methods to simplify and solve important problems in plasma wave theory. Key analytical concepts are carefully introduced as needed, encouraging the development of a visual intuition for the underlying methodology, with more advanced mathematical concepts succinctly explained in the appendices, and supporting Matlab and Raycon code available online. Covering variational principles, covariant formulations, caustics, tunnelling, mode conversion, weak dissipation, wave emission from coherent sources, incoherent wave fields, and collective wave absorption and emission, all within an accessible framework using standard plasma physics notation, this is an invaluable resource for graduate students and researchers in plasma physics.

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Page Count

545

Publisher

Cambridge University Press

Published Date

ISBN 10

0521768063

ISBN 13

9780521768061

Mathematics

Its Content, Methods and Meaning

By: A. D. Aleksandrov,A. N. Kolmogorov,M. A. Lavrent’ev

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Mathematics

Its Content, Methods and Meaning

By: A. D. Aleksandrov,A. N. Kolmogorov,M. A. Lavrent’ev

Major survey offers comprehensive, coherent discussions of analytic geometry, algebra, differential equations, calculus of variations, functions of a complex variable, prime numbers, linear and non-Euclidean geometry, topology, functional analysis, more. 1963 edition.

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Page Count

1123

Publisher

Courier Corporation

Published Date

ISBN 10

0486157873

ISBN 13

9780486157870

A Collection of Problems on Mathematical Physics

International Series of Monographs in Pure and Applied Mathematics

By: B. M. Budak,A. A. Samarskii,A. N. Tikhonov

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A Collection of Problems on Mathematical Physics

International Series of Monographs in Pure and Applied Mathematics

By: B. M. Budak,A. A. Samarskii,A. N. Tikhonov

A Collection of Problems on Mathematical Physics is a translation from the Russian and deals with problems and equations of mathematical physics. The book contains problems and solutions. The book discusses problems on the derivation of equations and boundary condition. These Problems are arranged on the type and reduction to canonical form of equations in two or more independent variables. The equations of hyperbolic type concerns derive from problems on vibrations of continuous media and on electromagnetic oscillations. The book considers the statement and solutions of boundary value problems pertaining to equations of parabolic types when the physical processes are described by functions of two, three or four independent variables such as spatial coordinates or time. The book then discusses dynamic problems pertaining to the mechanics of continuous media and problems on electrodynamics. The text also discusses hyperbolic and elliptic types of equations. The book is intended for students in advanced mathematics and physics, as well as, for engineers and workers in research institutions.

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Page Count

783

Publisher

Elsevier

Published Date

ISBN 10

1483184862

ISBN 13

9781483184869

Problems Of Multiphase Fluid Filtration

By: A N Konovalov

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Problems Of Multiphase Fluid Filtration

By: A N Konovalov

This book deals with a spectrum of problems related to the mathematical modeling of multiphase filtration. Emphasis is placed on an inseparable triad: model — algorithm — computer code. An analysis of new and traditional filtration problems from the point of view of both their numerical implementation and the reproduction of one or another technological characteristics of the processes under consideration is given. The basic principles which underlie the construction of efficient numerical methods taking into account the filtration problems are discussed: non-evolutionary nature, degeneration, strongly varying coefficients, the (temporal) duration of the processes involved, etc. Also attention is paid to the splitting method in terms of the physical processes involved, the method of fictitious domains and the method of front separation in grid solution. A modular analysis is performed with computational algorithms, making it possible to set up simultaneously the structure of the algorithms themselves and the structure of programs to implement these algorithms on a computer. In conclusion, the author discusses issues concerning the possibility of constructing a model of an oil deposit on a computer.

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Page Count

190

Publisher

World Scientific

Published Date

ISBN 10

9814502138

ISBN 13

9789814502139

Book's by An An

Ray Tracing and Beyond

Ray Tracing and Beyond

Mathematics

Mathematics

A Collection of Problems on Mathematical Physics

A Collection of Problems on Mathematical Physics

Problems Of Multiphase Fluid Filtration

Problems Of Multiphase Fluid Filtration

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