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 novel ...
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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 novel feature of the analysis in this book is an extensive use of techniques from the theory of Riemann-Hilbert problems.
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Add this copy of A Continuum Limit of the Toda Lattice (Memoirs of the to cart. $27.95, good condition, Sold by Bulrushed Books rated 5.0 out of 5 stars, ships from Moscow, ID, UNITED STATES, published 1998 by Oxford University Press, USA.
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Good. Good or better condition. Pages have scattered marks and notes, but completely legible, binding is good. Covers mostly clean, minor scuffing or stickers. Solid reading copies.
Add this copy of A Continuum Limit of the Toda Lattice (Memoirs of the to cart. $64.95, new condition, Sold by Book Forest rated 4.0 out of 5 stars, ships from San Rafael, CA, UNITED STATES, published 1998 by Oxford University Press, USA.
Add this copy of A Continuum Limit of the Toda Lattice (Memoirs of the to cart. $79.77, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1998 by Amer Mathematical Society.
