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
.
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 RiemannHilbert 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
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 RiemannHilbert 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
23 editions published between 2000 and 2002 in English and Undetermined and held by 1,013 WorldCat member libraries worldwide
Annotation
Painlevé transcendents : the RiemannHilbert approach by
Athanassios S Fokas(
Book
)
12 editions published between 2006 and 2014 in English and held by 308 WorldCat member libraries worldwide
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
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 initialboundary value problems for integrable partial differential equations
11 editions published in 2008 in English and held by 263 WorldCat member libraries worldwide
This text presents a new approach to analysing initialboundary 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 biHamiltonian 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 biHamiltonian 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
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 biHamiltonian 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 biHamiltonian 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 PotsdamV Kiev workshop at Clarkson University, Potsdam, NY, USA,
August 111, 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 uptodate 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
14 editions published between 1991 and 1993 in English and held by 204 WorldCat member libraries worldwide
This book gives an uptodate 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 stateoftheart research in mathematical physics addressed to a broad spectrum of readers, including graduate students, researchers, and others interested in this topic."Jacket
4 editions published in 2002 in English and held by 135 WorldCat member libraries worldwide
"This volume presents stateoftheart 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 stateoftheart 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 wellestablished 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]
6 editions published in 2015 in English and held by 101 WorldCat member libraries worldwide
This book describes stateoftheart 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 wellestablished 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: nonlocal 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
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: nonlocal 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
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  KatoRellich theorem  Boundary triples and selfadjointness  Spectral theorem  Applications of the spectral theorem  Convergence of selfadjoint operators  Spectral decomposition I  Spectral decomposition II  Spectrum and quantum dynamics  Some quantum relations
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  KatoRellich theorem  Boundary triples and selfadjointness  Spectral theorem  Applications of the spectral theorem  Convergence of selfadjoint 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
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
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 stateoftheart 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 wellestablished 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
3 editions published in 2015 in English and held by 10 WorldCat member libraries worldwide
This book describes stateoftheart 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 wellestablished 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
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
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
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
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. selfinduced transparence, and selffocussing 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; RiemannHilbert 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 integrodifferential equations; the BenjaminOno equation, the intermediate Long Wave Equation, the SineHilbert 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 SineGordon and wave equations arising in differential geometry; Algebraic methods and symmetries of multidimensional nonlinear evolution equations; and Solutions to semiperiodic multidimensional equations
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. selfinduced transparence, and selffocussing 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; RiemannHilbert 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 integrodifferential equations; the BenjaminOno equation, the intermediate Long Wave Equation, the SineHilbert 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 SineGordon 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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Related Identities
 Ablowitz, Mark J. Author
 Zakharov, V. E. (Vladimir Evgenʹevich) Other Editor
 Gelʹfand, I. M. (Izrailʹ Moiseevich) Other Editor
 Dorfman, Irene Other Honoree
 Boutet de Monvel, Anne Other Author
 Sternheimer, D. Other
 Berenstein, C. Other
 Tracy, C. Other
 Kaiser, Gerald Other
 Berry, M. Other
Useful Links
Associated Subjects
Algebra Boundary value problems Differentiable dynamical systems Differential equations, Nonlinear Differential equations, NonlinearAsymptotic theory Differential equations, Partial Dynamics Engineering Engineering mathematics Functional analysis Functions of complex variables Global analysis (Mathematics) Homogenization (Differential equations) Integral equations Integral equationsNumerical solutions Linear operators Mathematical optimization Mathematical physics Mathematics Nonlinear theories Oscillations Painlevé equations Physics Quantum statistics Quantum theory Quantum theoryMathematics RiemannHilbert problems Solitons SolitonsMathematics Spectral theory (Mathematics) Statistical physics
Covers
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