WorldCat Identities

Fokas, A. S. 1952-

Overview
Works: 57 works in 210 publications in 1 language and 4,996 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Other, htt
Publication Timeline
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Most widely held works by A. S Fokas
Complex variables : introduction and applications by Mark J Ablowitz( )

43 editions published between 1997 and 2011 in English and held by 2,192 WorldCat member libraries worldwide

Publisher's description: Complex variables offer very efficient methods for attacking many difficult problems, and it is the aim of this book to offer a thorough review of these methods and their applications. Part I is an introduction to the subject, including residue calculus and transform methods. Part II advances to conformal mappings, and the study of Riemann-Hilbert problems. An extensive array of examples and exercises are included. This new edition has been improved throughout and is ideal for use in introductory undergraduate and graduate level courses in complex variables
Mathematical physics 2000 by Athanassios S Fokas( )

23 editions published between 2000 and 2002 in English and Undetermined and held by 1,013 WorldCat member libraries worldwide

Annotation
Painlevé transcendents : the Riemann-Hilbert approach by Athanassios S Fokas( Book )

12 editions published between 2006 and 2014 in English and held by 308 WorldCat member libraries worldwide

Important developments in soliton theory by A. S Fokas( Book )

14 editions published between 1993 and 2013 in English and held by 263 WorldCat member libraries worldwide

In the last ten to fifteen years there have been many important developments in the theory of integrable equations. This period is marked in particular by the strong impact of soliton theory in many diverse areas of mathematics and physics; for example, algebraic geometry (the solution of the Schottky problem), group theory (the discovery of quantum groups), topology (the connection of Jones polynomials with integrable models), and quantum gravity (the connection of the KdV with matrix models). This is the first book to present a comprehensive overview of these developments. Numbered among the authors are many of the most prominent researchers in the field
A unified approach to boundary value problems by Athanassios S Fokas( Book )

11 editions published in 2008 in English and held by 263 WorldCat member libraries worldwide

This text presents a new approach to analysing initial-boundary value problems for integrable partial differential equations
Algebraic aspects of integrable systems : in memory of Irene Dorfman by A. S Fokas( Book )

17 editions published between 1996 and 1997 in English and held by 258 WorldCat member libraries worldwide

Irene Dorfman died in Moscow on April 6, 1994, shortly after seeing her beautiful book on Dirac structures [I]. The present volume contains a collection of papers aiming at celebrating her outstanding contributions to mathematics. Her most important discoveries are associated with the algebraic structures arising in the study of integrable equations. Most of the articles contained in this volume are in the same spirit. Irene, working as a student of Israel Gel'fand made the fundamental dis covery that integrability is closely related to the existence of bi-Hamiltonian structures [2], [3]. These structures were discovered independently, and al most simultaneously, by Magri [4] (see also [5]). Several papers in this book are based on this remarkable discovery. In particular Fokas, Olver, Rosenau construct large classes on integrable equations using bi-Hamiltonian struc tures, Fordy, Harris derive such structures by considering the restriction of isospectral flows to stationary manifolds and Fuchssteiner discusses similar structures in a rather abstract setting
Nonlinear processes in physics : proceedings of the III Potsdam-V Kiev workshop at Clarkson University, Potsdam, NY, USA, August 1-11, 1991 by A. S Fokas( Book )

14 editions published between 1991 and 1993 in English and held by 204 WorldCat member libraries worldwide

This book gives an up-to-date survey of the application of nonlinear mathematical techniques to a variety of physical problems. Examples of the areas covered are inverse scattering, nonlinear optics, fluids, plasmas and ionoshperic physics
Highlights of mathematical physics by International Conference on Mathematical Physics( Book )

4 editions published in 2002 in English and held by 135 WorldCat member libraries worldwide

"This volume presents state-of-the-art research in mathematical physics addressed to a broad spectrum of readers, including graduate students, researchers, and others interested in this topic."--Jacket
Unified transform for boundary value problems : applications and advances( Book )

6 editions published in 2015 in English and held by 101 WorldCat member libraries worldwide

This book describes state-of-the-art advances and applications of the unified transform and its relation to the boundary element method. The authors present the solution of boundary value problems from several different perspectives, in particular the type of problems modeled by partial differential equations (PDEs). They discuss recent applications of the unified transform to the analysis and numerical modeling of boundary value problems for linear and integrable nonlinear PDEs and the closely related boundary element method, a well-established numerical approach for solving linear elliptic PDEs. The text is divided into three parts: Part I contains new theoretical results on linear and nonlinear evolutionary and elliptic problems. Novel explicit solution representations for several classes of boundary value problems are constructed and rigorously analyzed. Part II is a detailed overview of variational formulations for elliptic problems. It places the unified transform approach in a classic context alongside the boundary element method and stresses its novelty. Part III presents recent numerical applications based on the boundary element method and on the unified transform.--[Source inconnue]
Homogenization of partial differential equations by V. A Marchenko( )

5 editions published in 2006 in English and Undetermined and held by 87 WorldCat member libraries worldwide

Homogenization is a method for modeling processes in microinhomogeneous media, which are encountered in radiophysics, filtration theory, rheology, elasticity theory, and other domains of mechanics, physics, and technology. These processes are described by PDEs with rapidly oscillating coefficients or boundary value problems in domains with complex microstructure. From the technical point of view, given the complexity of these processes, the best techniques to solve a wide variety of problems involve constructing appropriate macroscopic (homogenized) models. The present monograph is a comprehensive study of homogenized problems, based on the asymptotic analysis of boundary value problems as the characteristic scales of the microstructure decrease to zero. The work focuses on the construction of nonstandard models: non-local models, multicomponent models, and models with memory. Along with complete proofs of all main results, numerous examples of typical structures of microinhomogeneous media with their corresponding homogenized models are provided. Graduate students, applied mathematicians, physicists, and engineers will benefit from this monograph, which may be used in the classroom or as a comprehensive reference text
Highly oscillatory problems( )

3 editions published in 2009 in English and Undetermined and held by 54 WorldCat member libraries worldwide

Review papers from experts in areas of active research into highly oscillatory problems, with an emphasis on computation
Intermediate spectral theory and quantum dynamics by César R. de Oliveira( )

3 editions published in 2009 in English and Undetermined and held by 22 WorldCat member libraries worldwide

Linear operators and spectra -- Adjoint operator -- Fourier transform and free Hamiltonian -- Operators via sesquilinear forms -- Unitary evolution groups -- Kato-Rellich theorem -- Boundary triples and self-adjointness -- Spectral theorem -- Applications of the spectral theorem -- Convergence of self-adjoint operators -- Spectral decomposition I -- Spectral decomposition II -- Spectrum and quantum dynamics -- Some quantum relations
The spin : Poincaré Seminar 2007 by Bertrand Duplantier( )

1 edition published in 2009 in English and held by 11 WorldCat member libraries worldwide

This book is the eighth in a series of Proceedings for the S´ eminaire Poincar´ e, which is directed towards a large audience of physicists and of mathematicians. The goal of this seminar is to provide up to date information about general topics of great interest in physics. Both the theoretical and experimental aspects are covered, with some historical background. Inspired by the Bourbaki seminar in mathematics in its organization, hence nicknamed “Bourbaphy”, this Poincar´ e SeminarisheldattheInstitutHenriPoincar´ einParis,withcontributionsprepared inadvance.Particularcareisdevotedtothepedagogicalnatureofthepresentation so as to ful?ll the goal of being readable by a large audience of scientists. This new volume of the Poincar´ e Seminar series “The Spin” corresponds to the eleventh such Seminar, held on December 8, 2007. It describes how this once mysterious quantum reality called spin has become ubiquitous in modern physics from the most theoretical aspects down to the most practical applications of miniaturizing electronic and computer devices or helping medical diagnosis
A unified approach to boundary value problems by Athanassios S Fokas( Book )

1 edition published in 2008 in English and held by 10 WorldCat member libraries worldwide

Unified transform for boundary value problems : applications and advances by A. S Fokas( )

3 editions published in 2015 in English and held by 10 WorldCat member libraries worldwide

This book describes state-of-the-art advances and applications of the unified transform and its relation to the boundary element method. The authors present the solution of boundary value problems from several different perspectives, in particular the type of problems modeled by partial differential equations (PDEs). They discuss recent applications of the unified transform to the analysis and numerical modeling of boundary value problems for linear and integrable nonlinear PDEs and the closely related boundary element method, a well-established numerical approach for solving linear elliptic PDEs. The text is divided into three parts: Part I contains new theoretical results on linear and nonlinear evolutionary and elliptic problems. Novel explicit solution representations for several classes of boundary value problems are constructed and rigorously analyzed. Part II is a detailed overview of variational formulations for elliptic problems. It places the unified transform approach in a classic context alongside the boundary element method and stresses its novelty. Part III presents recent numerical applications based on the boundary element method and on the unified transform
A unified approach to boundary value problems by A. S Fokas( )

1 edition published in 2008 in English and held by 8 WorldCat member libraries worldwide

The Spin Poincaré Seminar 2007 by Anne Boutet de Monvel( )

3 editions published in 2009 in English and Undetermined and held by 7 WorldCat member libraries worldwide

This book is the eighth in a series of Proceedings for the Sþ eminaire Poincarþ e, which is directed towards a large audience of physicists and of mathematicians. The goal of this seminar is to provide up to date information about general topics of great interest in physics. Both the theoretical and experimental aspects are covered, with some historical background. Inspired by the Bourbaki seminar in mathematics in its organization, hence nicknamed "Bourbaphy", this Poincarþ e SeminarisheldattheInstitutHenriPoincarþ einParis, withcontributionsprepared inadvance. Particularcareisdevotedtothepedagogicalnatureofthepresentation so as to ful?ll the goal of being readable by a large audience of scientists. This new volume of the Poincarþ e Seminar series "The Spin" corresponds to the eleventh such Seminar, held on December 8, 2007. It describes how this once mysterious quantum reality called spin has become ubiquitous in modern physics from the most theoretical aspects down to the most practical applications of miniaturizing electronic and computer devices or helping medical diagnosis
The Spin : Poincar? Seminar 2007 by Anne Boutet de Monvel( )

1 edition published in 2009 in English and held by 7 WorldCat member libraries worldwide

Integrability, topological solitons and beyond( Book )

1 edition published in 2003 in English and held by 3 WorldCat member libraries worldwide

Nonlinear Waves( Book )

3 editions published between 1987 and 1989 in English and held by 3 WorldCat member libraries worldwide

This work has important applications in fluid dynamics (e.g. long waves in stratified fluids, solitons generated by ships), nonlinear optics (e.g. self-induced transparence, and self-focussing of light), digital communications via solitons, inverse scattering in one and higher dimensions. Areas of Study Include: Solutions of nonlinear multidimensional systems; arising in Physics; inverse problems, especially in multidimensions; and DBAR methodololgy; Riemann-Hilbert boundary value problems; and inverse problems; Solitons in multidimensional systems, solitons, generated by ships in narrow channels; Nonlinear systems with external focussing; Semi infinite boundary value problems; IST for nonlinear singular integro-differential equations; the Benjamin-Ono equation, the intermediate Long Wave Equation, the Sine-Hilbert equation, multidimensional generalizations; Discrete IST and numerical simulations; Painleve equations; Focussing singularities in nonlinear wave propagation; Applications to surface waves, internal waves, shear flows; nonlinear optics, S.I.T., relativity etc; Direct linearizing methods for nonlinear evolution equations; Multidimensional generalizations of the Sine-Gordon and wave equations arising in differential geometry; Algebraic methods and symmetries of multidimensional nonlinear evolution equations; and Solutions to semiperiodic multidimensional equations
 
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Complex variables : introduction and applications
Covers
Mathematical physics 2000Painlevé transcendents : the Riemann-Hilbert approachA unified approach to boundary value problemsHighlights of mathematical physicsHomogenization of partial differential equationsHighly oscillatory problemsIntermediate spectral theory and quantum dynamicsA unified approach to boundary value problems
Alternative Names
Athanassios Fokas

Athanassios S. Fokas Greek mathematician

Athanassios S. Fokas grekisk matematiker

Athanassios S. Fokas griechischer Mathematiker

Athanassios S. Fokas matemàtic grec

Athanassios S. Fokas matemático griego

Athanassios S. Fokas mathématicien grec

Athanassios S. Fokas wiskundige uit Griekenland

Fokas, A.

Fokas, A. 1952-

Fokas, A. S.

Fokas, A. S. 1952-

Fokas, Athanasios S. 1952-

Fokas, Athanassios 1952-

Fokas, Athanassios S.

Fokas, Athanassios Spyridon 1952-

Αθανάσιος Φωκάς

Афанасіос Фокас

Фокас, Афанасиос

Languages
English (164)