A Continuum Limit of the Toda Lattice is popular PDF and ePub book, written by Percy Deift in 1998, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, A Continuum Limit of the Toda Lattice can be Read Online from any device for your convenience.
A Continuum Limit of the Toda Lattice Book PDF Summary
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.
Detail Book of A Continuum Limit of the Toda Lattice PDF
- Author : Percy Deift
- Release : 01 October 1998
- Publisher : American Mathematical Soc.
- ISBN : 9780821806913
- Genre : Mathematics
- Total Page : 233 pages
- Language : English
- PDF File Size : 7,8 Mb
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