Costin, O. (Ovidiu) 1960
Overview
Works:  24 works in 92 publications in 2 languages and 1,317 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other, Thesis advisor 
Publication Timeline
.
Most widely held works by
O Costin
Asymptotics in dynamics, geometry and PDEs : generalized Borel summation by
Ovidiu Costin(
)
36 editions published between 2011 and 2012 in English and Italian and held by 766 WorldCat member libraries worldwide
These are the proceedings of a oneweek international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with  mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis,  local dynamics: parabolic systems, small denominator questions  new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values, and a new family of resurgent functions related to knot theory
36 editions published between 2011 and 2012 in English and Italian and held by 766 WorldCat member libraries worldwide
These are the proceedings of a oneweek international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with  mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis,  local dynamics: parabolic systems, small denominator questions  new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values, and a new family of resurgent functions related to knot theory
Analyzable functions and applications : International Workshop on Analyzable Functions and Applications, June 1721, 2002,
International Centre for Mathematical Sciences, Edinburgh, Scotland by
Edinburgh, Scotland) International Workshop on Analyzable Functions and Applications (2002(
Book
)
13 editions published between 2005 and 2012 in English and held by 212 WorldCat member libraries worldwide
13 editions published between 2005 and 2012 in English and held by 212 WorldCat member libraries worldwide
Asymptotics and borel summability by
O Costin(
Book
)
10 editions published in 2009 in English and held by 204 WorldCat member libraries worldwide
Providing a complete treatment of asymptotics, including exponential asymptotics and generalized Borel summability, this work provides a rigorous theoretical basis while also exploring applications to various problems in ordinary and partial differential equations and difference equations
10 editions published in 2009 in English and held by 204 WorldCat member libraries worldwide
Providing a complete treatment of asymptotics, including exponential asymptotics and generalized Borel summability, this work provides a rigorous theoretical basis while also exploring applications to various problems in ordinary and partial differential equations and difference equations
Asymptotics in Dynamics, Geometry and PDEs ; Generalized Borel Summation vol. I by
O Costin(
)
8 editions published in 2011 in English and held by 34 WorldCat member libraries worldwide
These are the proceedings of a oneweek international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with  mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis,  local dynamics: parabolic systems, small denominator questions,  new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values,  a new family of resurgent functions related to knot theory
8 editions published in 2011 in English and held by 34 WorldCat member libraries worldwide
These are the proceedings of a oneweek international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with  mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis,  local dynamics: parabolic systems, small denominator questions,  new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values,  a new family of resurgent functions related to knot theory
Asymptotics in dynamics, geometry and PDEs : generalized borel summation(
)
1 edition published in 2011 in English and held by 22 WorldCat member libraries worldwide
1 edition published in 2011 in English and held by 22 WorldCat member libraries worldwide
Asymptotics in Dynamics, Geometry and PDEs ; Generalized Borel Summation vol. II by
Ovidiu Costin(
)
3 editions published in 2011 in English and held by 22 WorldCat member libraries worldwide
These are the proceedings of a oneweek international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with: mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis, local dynamics: parabolic systems, small denominator questions, new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values, a new family of resurgent functions related to knot theory
3 editions published in 2011 in English and held by 22 WorldCat member libraries worldwide
These are the proceedings of a oneweek international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with: mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis, local dynamics: parabolic systems, small denominator questions, new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values, a new family of resurgent functions related to knot theory
Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation vol. II by
Ovidiu Costin(
)
1 edition published in 2011 in English and held by 18 WorldCat member libraries worldwide
1 edition published in 2011 in English and held by 18 WorldCat member libraries worldwide
Analyzable Functions and Applications by
O Costin(
)
1 edition published in 2005 in English and held by 10 WorldCat member libraries worldwide
1 edition published in 2005 in English and held by 10 WorldCat member libraries worldwide
Asymptotics and borel summability by
O Costin(
Book
)
3 editions published between 2008 and 2009 in English and held by 7 WorldCat member libraries worldwide
Providing a complete treatment of asymptotics, including exponential asymptotics and generalized Borel summability, Asymptotics and Borel Summability provides a rigorous theoretical basis while also exploring applications to various problems in ordinary and partial differential equations and difference equations. The book includes exercises making it suitable for selfstudy and a second course in asymptotic theory. It also includes open problems for future research. The book is intended for pure and applied mathematicians, as well as physicists
3 editions published between 2008 and 2009 in English and held by 7 WorldCat member libraries worldwide
Providing a complete treatment of asymptotics, including exponential asymptotics and generalized Borel summability, Asymptotics and Borel Summability provides a rigorous theoretical basis while also exploring applications to various problems in ordinary and partial differential equations and difference equations. The book includes exercises making it suitable for selfstudy and a second course in asymptotic theory. It also includes open problems for future research. The book is intended for pure and applied mathematicians, as well as physicists
Asymptotics in dynamics, geometry and PDEs; generalized Borel summation(
)
1 edition published in 2011 in English and held by 7 WorldCat member libraries worldwide
1 edition published in 2011 in English and held by 7 WorldCat member libraries worldwide
Asymptotics in dynamics, geometry and PDEs; generalized Borel summation(
)
1 edition published in 2011 in English and held by 6 WorldCat member libraries worldwide
These are the proceedings of a oneweek international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with  mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis,  local dynamics: parabolic systems, small denominator questions,  new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values,  a new family of resurgent functions related to knot theory
1 edition published in 2011 in English and held by 6 WorldCat member libraries worldwide
These are the proceedings of a oneweek international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with  mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis,  local dynamics: parabolic systems, small denominator questions,  new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values,  a new family of resurgent functions related to knot theory
Asymptotics in Dynamics, Geometry and PDEs ; Generalized Borel Summation vol. I by
Ovidiu Costin(
Book
)
1 edition published in 2011 in English and held by 5 WorldCat member libraries worldwide
1 edition published in 2011 in English and held by 5 WorldCat member libraries worldwide
Asymptotics and Borel summability by
Ovidiu Costin(
Book
)
2 editions published in 2008 in English and held by 2 WorldCat member libraries worldwide
Incorporating substantial developments from the last thirty years into one resource, Asymptotics and Borel Summability provides a selfcontained introduction to asymptotic analysis with special emphasis on topics not covered in traditional asymptotics books. The author explains basic ideas, concepts, and methods of generalized Borel summability, transseries, and exponential asymptotics. He provides complete mathematical rigor while supplementing it with heuristic material and examples, so that some proofs may be omitted by applicationsoriented readers. To give a sense of how new methods are used in a systematic way, the book analyzes in detail general nonlinear ordinary differential equations (ODEs) near a generic irregular singular point. It enables readers to master basic techniques, supplying a firm foundation for further study at more advanced levels. The book also examines difference equations, partial differential equations (PDEs), and other types of problems. Chronicling the progress made in recent decades, this book shows how Borel summability can recover exact solutions from formal expansions, analyze singular behavior, and vastly improve accuracy in asymptotic approximations
2 editions published in 2008 in English and held by 2 WorldCat member libraries worldwide
Incorporating substantial developments from the last thirty years into one resource, Asymptotics and Borel Summability provides a selfcontained introduction to asymptotic analysis with special emphasis on topics not covered in traditional asymptotics books. The author explains basic ideas, concepts, and methods of generalized Borel summability, transseries, and exponential asymptotics. He provides complete mathematical rigor while supplementing it with heuristic material and examples, so that some proofs may be omitted by applicationsoriented readers. To give a sense of how new methods are used in a systematic way, the book analyzes in detail general nonlinear ordinary differential equations (ODEs) near a generic irregular singular point. It enables readers to master basic techniques, supplying a firm foundation for further study at more advanced levels. The book also examines difference equations, partial differential equations (PDEs), and other types of problems. Chronicling the progress made in recent decades, this book shows how Borel summability can recover exact solutions from formal expansions, analyze singular behavior, and vastly improve accuracy in asymptotic approximations
Asymptotics and Borel summability by
Ovidiu Costin(
Book
)
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
New asymptotic methods in the study of analytic differential and dynamical systems by Hyejin Park(
)
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
In the first part of the dissertation, we prove Borel summability in nonsingular directions of heatlike equation u_t = a(z)u_zz in the complex domain where a(z) is a quartic polynomial and the initial condition is analytic. In the special case a(z) = z we obtain the detailed resurgent structure; even in such a simple case, the structure of the singular manifolds is quite intricate. In the second part of the disseration, we provide mainly two applications of transseries and Borel summation to interesting problems such as nonelementarity of a function, and analytic factorizability of a linear operator. In the third part, we consider the dynamical system arising in submonolayer deposition model, and analyze the asymptotic behavior of the solution as t goes to infinity
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
In the first part of the dissertation, we prove Borel summability in nonsingular directions of heatlike equation u_t = a(z)u_zz in the complex domain where a(z) is a quartic polynomial and the initial condition is analytic. In the special case a(z) = z we obtain the detailed resurgent structure; even in such a simple case, the structure of the singular manifolds is quite intricate. In the second part of the disseration, we provide mainly two applications of transseries and Borel summation to interesting problems such as nonelementarity of a function, and analytic factorizability of a linear operator. In the third part, we consider the dynamical system arising in submonolayer deposition model, and analyze the asymptotic behavior of the solution as t goes to infinity
New asymptotic methods for the global analysis of ordinary differential equations and for nonselfadjoint spectral problems by Xiaoyue Xia(
)
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
In this thesis we employ new asymptotic methods to study some problems in classical analysis and mathematical physics. The first problem is finding the global behavior in the complex plane of a class of analytic functions from the Taylor coefficients. Several explicit examples are presented, from which it is clear that combined with Laplace transformation and Borel transformation, the method has great potential in analyzing the solutions of differential equations. In the second problem we use methods originating from exponential asymptotics to study a nonselfajoint spectral problem in mathematical physics. In the third problem, tronquée solutions and tritronquée solutions of the third and fourth Painlevé equation are studied using the theory of Borel summation for analytic nonlinear rank one system of ODE's, which has been studied extensively in [2], [3] and [5]
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
In this thesis we employ new asymptotic methods to study some problems in classical analysis and mathematical physics. The first problem is finding the global behavior in the complex plane of a class of analytic functions from the Taylor coefficients. Several explicit examples are presented, from which it is clear that combined with Laplace transformation and Borel transformation, the method has great potential in analyzing the solutions of differential equations. In the second problem we use methods originating from exponential asymptotics to study a nonselfajoint spectral problem in mathematical physics. In the third problem, tronquée solutions and tritronquée solutions of the third and fourth Painlevé equation are studied using the theory of Borel summation for analytic nonlinear rank one system of ODE's, which has been studied extensively in [2], [3] and [5]
On the determination of spectral properties of certain families of operators by Charles Baker(
)
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
In this paper, we discuss the perturbations of the Harmonic Oscillator and Parabolic Cylinder Operators by an odd pair of point interactions. We prove that there is a convenient formula for the eigenvalues, and show that if the point interactions are purely imaginary in addition to being odd, that nonreal eigenvalues exist as the size of the perturbation grows
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
In this paper, we discuss the perturbations of the Harmonic Oscillator and Parabolic Cylinder Operators by an odd pair of point interactions. We prove that there is a convenient formula for the eigenvalues, and show that if the point interactions are purely imaginary in addition to being odd, that nonreal eigenvalues exist as the size of the perturbation grows
Generalized asymptotic expansions for differential equations and applications by
Ovidiu Costin(
)
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
Singular normal form for the Painlevé equation P1 by
Ovidiu Costin(
Book
)
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
Asymptotics in dynamics, geometry and PDEs; generalized Borel summation by
Ovidiu Costin(
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
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Related Identities
 Macintyre, A. (Angus) 1941 Other Editor
 Kruskal, Martin D. (Martin David) 19252006 Other Editor
 Fauvet, Frédéric Editor
 Sauzin, D. Editor
 Menous, Frédéric Other Editor
 Menous, F.
 American Mathematical Society
 Ohio State University
 International Workshop on Analyzable Functions and Applications (2002, Edinburgh, Scotland)
 OhioLINK Electronic Theses and Dissertations Center