8 citations · 14 across the 7 of their papers we have counts for
8 papers
Wave scattering in 1D: D'Alembert-type representations and a reconstruction method
Konstantinos Kalimeris, Leonidas Mindrinos
We derive the extension of the classical d'Alembert formula for the wave equation, which provides the analytical solution for the direct scattering problem for a medium with consta…
Dispersion estimates for the boundary integral operator associated with the fourth order Schrödinger equation posed on the half line
Türker Özsarı, Kıvılcım Alkan, Konstantinos Kalimeris
In this paper, we prove dispersion estimates for the boundary integral operator associated with the fourth order Schrödinger equation posed on the half line. Proofs of such estimat…
Numerical computation of Neumann controls for the heat equation on a finite interval
Konstantinos Kalimeris, Türker Özsarı, Nikolaos Dikaios
This paper presents a new numerical method which approximates Neumann type null controls for the heat equation and is based on the Fokas method. This is a direct method for solving…
An elementary proof of the lack of null controllability for the heat equation on the half line
Konstantinos Kalimeris, Turker Ozsari
In this note, we give an elementary proof of the lack of null controllability for the heat equation on the half line by employing the machinery inherited by the unified transform,…
Explicit asymptotics for certain single and double exponential sums
Konstantinos Kalimeris, Athanassios S. Fokas
By combining classical techniques together with two novel asymptotic identities contained in [FL], we analyse certain single sums of Riemann-zeta type. In addition, we analyse Eule…
Approximations of steady periodic water waves in flows with constant vorticity
Adrian Constantin, Konstantinos Kalimeris, Otmar Scherzer
We provide high-order approximations to periodic travelling wave profiles and to the velocity field and the pressure beneath the waves, in flows with constant vorticity over a flat…
A penalization method for calculating the flow beneath travelling water waves of large amplitude
Adrian Constantin, Konstantinos Kalimeris, Otmar Scherzer
A penalization method for a suitable reformulation of the governing equations as a constrained optimization problem provides accurate numerical simulations for large-amplitude trav…
Photoacoustic imaging in attenuating acoustic media based on strongly causal models
Konstantinos Kalimeris, Otmar Scherzer
In this paper we derive time reversal imaging functionals for two strongly causal acoustic attenuation models, which have been proposed recently. The time reversal techniques are b…