Deniz Bilman
Deniz Bilman
Home
Publications
Posts
Courses
Contact
Toda lattice
Benchmarking numerical methods for lattice equations with the Toda lattice
We compare the performance of well-known numerical time-stepping methods that are widely used to compute solutions of the …
Deniz Bilman
,
Thomas Trogdon
July, 2018
Applied Numerical Mathematics
Cite
Code
DOI
ArXiv
Discrete integrable systems, Darboux transformations, and Yang–Baxter maps
This chapter is devoted to the integrability of discrete systems and their relation to the theory of Yang–Baxter (YB) maps. Lax pairs …
Deniz Bilman
,
Sotiris Konstantinou-Rizos
July, 2017
CRM Series in Mathematical Physics
Cite
DOI
ArXiv
Numerical inverse scattering for the Toda lattice
We present a method to compute the inverse scattering transform (IST) for the famed Toda lattice by solving the associated …
Deniz Bilman
,
Thomas Trogdon
January, 2017
Communications in Mathematical Physics
Cite
Code
DOI
ArXiv
On the evolution of scattering data under perturbations of the Toda lattice
We present the results of an analytical and numerical study of the long-time behavior for certain Fermi–Pasta–Ulam (FPU) lattices …
Deniz Bilman
,
Irina Nenciu
September, 2016
Physica D
Cite
DOI
ArXiv
Cite
×