Results 61 to 70 of about 3,790 (213)
On the Mean‐Field Limit of Consensus‐Based Methods
Mathematical Methods in the Applied Sciences, Volume 49, Issue 5, Page 4214-4240, 30 March 2026.ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
wiley +1 more source
Internal Lee Waves Control Deep Ocean Turbulent Mixing in the Antarctic Circumpolar Current at 50°E
Geophysical Research Letters, Volume 53, Issue 6, 28 March 2026.Abstract Full‐depth (Surface‐to‐bottom) turbulent kinetic energy dissipation (TKED) observed with fast‐response thermistors across the Antarctic Circumpolar Current (ACC) at 50° $\mathit{{}^{\circ}}$E is compared with the energy flux of bottom‐generated internal waves estimated with high‐resolution multibeam bathymetry.
Yusuke Sasaki, Ichiro Yasuda
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AxiomsWe obtain a new extended description of the exceptional set in the asymptotic Borel-type relation in terms of the maximum of the integrand function for the Laplace–Stieltjes integrals.
Oleh Skaskiv +3 more
doaj +1 more source
An integral that counts the zeros of a function
Open Mathematics, 2018 Given a real function f on an interval [a, b] satisfying mild regularity conditions, we determine the number of zeros of f by evaluating a certain integral. The integrand depends on f, f′ and f″.
Hungerbühler Norbert, Wasem Micha
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Multiscale homogenization of convex functionals with discontinuous integrand
, 2005 This article is devoted to obtain the $ $-limit, as $ $ tends to zero, of the family of functionals $$F_ (u)=\int_ f\Bigl(x,\frac{x} ,..., \frac{x}{ ^n},\nabla u(x)\Bigr)dx$$, where $f=f(x,y^1,...,y^n,z)$ is periodic in $y^1,...,y^n$, convex in $z$ and satisfies a very weak regularity assumption with respect to $x,y^1,...,y^n$.
openaire +4 more sources
Journal of Geophysical Research: Atmospheres, Volume 131, Issue 6, 28 March 2026.Abstract Gravity waves (GWs) are a fundamental driver of circulation, tracer transport, and mixing in the middle and upper atmosphere, but their treatment in global circulation models remains incomplete. In particular, standard parameterizations typically restrict propagation to the vertical and treat GW–turbulence interactions in only a rudimentary ...
T. Banerjee +9 more
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IEEE AccessThis work presents a hybrid analytical-numerical procedure that allows the efficient computation of the flux linkage of two misaligned circular coils placed above a stratified ground, which may include non-magnetic as well as magnetic materials.
Mauro Parise +2 more
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Regularity Results for Local Minimizers of Functionals with Discontinuous Coefficients
Bruno Pini Mathematical Analysis Seminar, 2016 We give an overview on recent regularity results of local vectorial minimizers of under two main features: the energy density is uniformly convex with respect to the gradient variable only at infinity and it depends on the spatial variable through a ...
Raffaella Giova +1 more
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Journal of Geophysical Research: Atmospheres, Volume 131, Issue 5, 16 March 2026.Abstract In situ measurements of stratospheric aerosol are the only measurements that provide sufficient detail to determine aerosol number, size, surface area, volume/mass, and effective radius; however, these measurements are limited in space and time.
Terry Deshler, Lars E. Kalnajs
wiley +1 more source