Abstract Current statistical postprocessing methods for probabilistic weather forecasting are not capable of using full spatial patterns from the numerical prediction (NWP) model. In this paper, we incorporate wind speed information by convolutional neural networks (CNNs) and obtain forecasts in Netherlands 48 h ahead, based on KNMI’s deterministic HARMONIE-AROME NWP The CNNs shown to have high...

Solutions to a singular one-dimensional Vlasov equation are obtained as the semiclassical limit of the Wigner transform associated to a logarithmic Schrödinger equation. Two frameworks are considered, regarding in particular the initial position density: Gaussian initial density, or smooth initial density away from vacuum. For Gaussian initial densities, the analysis also yields global solution...

Nonlocal modeling has drawn more and attention becomes steadily powerful in scientific computing. In this paper, we demonstrate the superiority of a first-principle nonlocal model—Wigner function—in treating singular potentials which are often used to model interaction between point charges quantum science. The nature Wigner equation is fully exploited convert potential into kernel with weak or...

We compute the equilibrium measure in dimension $$d=s+4$$ associated to a Riesz s-kernel interaction with an external field given by power of Euclidean norm. Our study reveals that can be mixture continuous part and singular part. Depending on value power, threshold phenomenon occurs consists reduction or condensation In particular, logarithmic case $$s=0$$ ( $$d=4$$ ), there is sphere special ...

Abstract We present a new variant of the Chambolle–Pock primal–dual algorithm with Bregman distances, analyze its convergence, and apply it to centering problem in sparse semidefinite programming. The novelty method is line search procedure for selecting suitable step sizes. obviates need estimating norm constraint matrix strong convexity constant kernel. As an application, we discuss large-sca...

Based on the Kazama-Suzuki type coset construction and its inverse between subregular $\mathcal{W}$-algebras for $\mathfrak{sl}_n$ principal $\mathcal{W}$-superalgebras $\mathfrak{sl}_{1|n}$, we prove weight-wise linear equivalences of their representation categories. Our main results are then improvements these correspondences incorporating monoidal structures. Firstly, in rational case, obtai...

Abstract We study the following Choquard type equation in whole plane $$\begin{aligned} (C)\quad -\Delta u+V(x)u=(I_2*F(x,u))f(x,u),\quad x\in \mathbb {R}^2 \end{aligned}$$ ( C ) - Δ ...

peanuts, an oilseed crop, contain about 46% oil. the peanut shell can be used as fuel or pallets and its dry matter as feedstuff. the whole pods consist of 1-6 kernels. shelling is done at harvest time when the pod moisture content is 5-10%. in this research, a peanut sheller was designed and developed to separate the shell from the pod. the sheller included a hopper, sheller cylinder, concave,...