Deniz Bilman
Deniz Bilman
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numerical inverse scattering
Computation of large-genus solutions of the Korteweg-de Vries equation
We consider the numerical computation of finite-genus solutions of the Korteweg-de Vries equation when the genus is large. Our method …
Deniz Bilman
,
Patrik Nabelek
,
Thomas Trogdon
April, 2022
submitted for publication
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ArXiv
On numerical inverse scattering for the Korteweg-de Vries equation with discontinuous step-like data
We present a method to compute dispersive shock wave solutions of the Korteweg–de Vries equation that emerge from initial data with …
Deniz Bilman
,
Thomas Trogdon
March, 2020
Nonlinearity
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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
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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
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