Continuum Limit Of The Toda Lattice

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A Continuum Limit Of The Toda Lattice
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Author : Percy Deift
language : en
Publisher: American Mathematical Soc.
Release Date : 1998
A Continuum Limit Of The Toda Lattice written by Percy Deift and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
In this book, the authors describe a continuum limit of the Toda ODE system, obtained by taking as initial data for the finite lattice successively finer discretizations of two smooth functions. Using the integrability of the finite Toda lattice, the authors adapt the method introduced by Lax and Levermore for the study of the small dispersion limit of the Korteweg de Vries equations to the case of the Toda lattice. A general class of initial data is considered which permits, in particular, the formation of shocks. A feature of the analysis in this book is an extensive use of techniques from the theory of Riemann-Hilbert problems.
Continuum Limit Of The Toda Lattice
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Author : Kenneth Dean T-R Mclaughlin
language : en
Publisher:
Release Date : 1995
Continuum Limit Of The Toda Lattice written by Kenneth Dean T-R Mclaughlin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
A Continuum Limit Of The Toda Lattice
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Author : Percy Deift
language : en
Publisher: Oxford University Press, USA
Release Date : 2014-09-11
A Continuum Limit Of The Toda Lattice written by Percy Deift and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-11 with SCIENCE categories.
Content Description #"January 1998, volume 131, number 624 (end of volume)."#Includes bibliographical references.
A Continuum Limit Of The Toda Lattice
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Author : Percy Deift
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
A Continuum Limit Of The Toda Lattice written by Percy Deift and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
In this book, the authors describe a continuum limit of the Toda ODE system, obtained by taking as initial data for the finite lattice successively finer discretizations of two smooth functions. A novel feature of the analysis in this book is an extensive use of techniques from the theory of Riemann-Hilbert problems.
Algebraic And Geometric Aspects Of Integrable Systems And Random Matrices
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Author : Anton Dzhamay
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-06-26
Algebraic And Geometric Aspects Of Integrable Systems And Random Matrices written by Anton Dzhamay and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-26 with Mathematics categories.
This volume contains the proceedings of the AMS Special Session on Algebraic and Geometric Aspects of Integrable Systems and Random Matrices, held from January 6-7, 2012, in Boston, MA. The very wide range of topics represented in this volume illustrates
Recent Advances In Partial Differential Equations Venice 1996
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Author : Peter D. Lax
language : en
Publisher: American Mathematical Soc.
Release Date : 1998
Recent Advances In Partial Differential Equations Venice 1996 written by Peter D. Lax and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
Lax and Nirenberg are two of the most distinguished mathematicians of our times. Their work on partial differential equations (PDEs) over the last half-century has dramatically advanced the subject and has profoundly influenced the course of mathematics. A huge part of the development in PDEs during this period has either been through their work, motivated by it or achieved by their postdocs and students. A large number of mathematicians honored these two exceptional scientists in a week-long conference in Venice (June 1996) on the occasion of their 70th birthdays. This volume contains the proceedings of the conference, which focused on the modern theory of nonlinear PDEs and their applications. Among the topics treated are turbulence, kinetic models of a rarefied gas, vortex filaments, dispersive waves, singular limits and blow-up solutions, conservation laws, Hamiltonian systems and others. The conference served as a forum for the dissemination of new scientific ideas and discoveries and enhanced scientific communication by bringing together such a large number of scientists working in related fields. THe event allowed the international mathematics community to honor two of its outstanding members.
Analysis Modeling And Simulation Of Multiscale Problems
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Author : Alexander Mielke
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-10-14
Analysis Modeling And Simulation Of Multiscale Problems written by Alexander Mielke and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-14 with Mathematics categories.
This book reports recent mathematical developments in the Programme "Analysis, Modeling and Simulation of Multiscale Problems", which started as a German research initiative in 2006. Multiscale problems occur in many fields of science, such as microstructures in materials, sharp-interface models, many-particle systems and motions on different spatial and temporal scales in quantum mechanics or in molecular dynamics. The book presents current mathematical foundations of modeling, and proposes efficient numerical treatment.
The Abel Prize
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Author : Helge Holden
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-01
The Abel Prize written by Helge Holden and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-01 with Mathematics categories.
The book presents the winners of the first five Abel Prizes in mathematics: 2003 Jean-Pierre Serre; 2004 Sir Michael Atiyah and Isadore Singer; 2005 Peter D. Lax; 2006 Lennart Carleson; and 2007 S.R. Srinivasa Varadhan. Each laureate provides an autobiography or an interview, a curriculum vitae, and a complete bibliography. This is complemented by a scholarly description of their work written by leading experts in the field and by a brief history of the Abel Prize. Interviews with the laureates can be found at http://extras.springer.com .
Semiclassical Soliton Ensembles For The Focusing Nonlinear Schrodinger Equation Am 154
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Author : Spyridon Kamvissis
language : en
Publisher: Princeton University Press
Release Date : 2003-09-07
Semiclassical Soliton Ensembles For The Focusing Nonlinear Schrodinger Equation Am 154 written by Spyridon Kamvissis and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-09-07 with Mathematics categories.
Providing an asymptotic analysis via completely integrable techniques, of the initial value problem for the focusing nonlinear Schrodinger equation in the semiclassical asymptotic regime, this text exploits complete integrability to establish pointwise asymptotics for this problem's solution.
Integrable Systems And Random Matrices
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Author : Jinho Baik
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Integrable Systems And Random Matrices written by Jinho Baik and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
This volume contains the proceedings of a conference held at the Courant Institute in 2006 to celebrate the 60th birthday of Percy A. Deift. The program reflected the wide-ranging contributions of Professor Deift to analysis with emphasis on recent developments in Random Matrix Theory and integrable systems. The articles in this volume present a broad view on the state of the art in these fields. Topics on random matrices include the distributions and stochastic processes associated with local eigenvalue statistics, as well as their appearance in combinatorial models such as TASEP, last passage percolation and tilings. The contributions in integrable systems mostly deal with focusing NLS, the Camassa-Holm equation and the Toda lattice. A number of papers are devoted to techniques that are used in both fields. These techniques are related to orthogonal polynomials, operator determinants, special functions, Riemann-Hilbert problems, direct and inverse spectral theory. Of special interest is the article of Percy Deift in which he discusses some open problems of Random Matrix Theory and the theory of integrable systems.