Computational convex analysis algorithms have been rediscovered several times in the past
by researchers from different fields. To further communications between practitioners, we …

In this paper, we study the propagation of high-intensity acoustic noise in free space and in
waveguide systems. A mathematical model generalizing the Burgers equation is used. It …

We present several sequential exact Euclidean distance transform algorithms. The
algorithms are based on fundamental transforms of convex analysis: The Legendre …

A new computational framework for computer-aided convex analysis is proposed and
investigated. Existing computational frameworks are reviewed and their limitations pointed …

The spectral behaviour of random sawtooth waves propagating in the inner surf zone is
investigated in this study. We show that the elevation energy spectrum exhibits a universal …

The present article summarizes the state of the art algorithms to compute the discrete
Moreau envelope, and presents a new linear-time algorithm, named NEP for NonExpansive …

We study the one-dimensional Burgers equation in the inviscid limit for Brownian initial
velocity (ie the initial velocity is a two-sided Brownian motion that starts from the origin x= 0) …

The paper investigates the nonlinear evolution of complex signals and structures having two
significantly different scales at the input: a high-frequency noise carrier and a regular …

Одной из важных задач нелинейной акустики является восстановление параметров
излучаемого сигнала по измеренному акустическому полю вдали от излучателя. В …

The evolution of random nonlinear waves (high-intensity noise) in a dissipative and
dispersive media is studied. To describe wave processes, the mathematical model in the …