Results 111 to 120 of about 2,362 (222)

Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver

International Journal for Numerical Methods in Fluids, Volume 98, Issue 7, Page 804-839, July 2026.
A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
wiley   +1 more source

Singular critical elliptic problems with fractional Laplacian

Electronic Journal of Differential Equations, 2015
In this article, we consider the existence of solutions of the critical problem with a Hardy term for fractional Laplacian $$\displaylines{ (-\Delta)^s u -\mu \frac u{|x|^{2s}}= u^{2^*_s-1} \quad \text{in }\Omega,\cr u>0 \quad \text{in }\Omega, \cr
Xueqiao Wang, Jianfu Yang
doaj  

A finite-volume scheme for fractional diffusion on bounded domains

European Journal of Applied Mathematics
We propose a new fractional Laplacian for bounded domains, expressed as a conservation law and thus particularly suited to finite-volume schemes. Our approach permits the direct prescription of no-flux boundary conditions.
Rafael Bailo, José A. Carrillo, Stefano Fronzoni, David Gómez-Castro   +3 more
doaj   +1 more source

Stability of a Fully Discrete Local Discontinuous Galerkin Method for the Generalized Benjamin–Ono Equation

Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.
ABSTRACT The main purpose of this paper is to design a fully discrete local discontinuous Galerkin (LDG) scheme for the generalized Benjamin–Ono equation. First, we prove the L2$$ {L}^2 $$‐stability for the proposed semi‐discrete LDG scheme and obtained a suboptimal order of convergence for power nonlinear flux.
Mukul Dwivedi, Tanmay Sarkar
wiley   +1 more source

Mild solutions to Love-type equations on R^2

Electronic Journal of Differential Equations
In this article, we study a non-local Love problem on unbounded domains where the non-locality in the main equation is interpreted as a fractional Laplacian operator.
Bui Duc Nam, Bui Dai Nghia, Nguyen Anh Tuan   +2 more
doaj  

Geometric Planted Matchings Beyond the Gaussian Model

Random Structures &Algorithms, Volume 68, Issue 4, July 2026.
ABSTRACT We consider the problem of recovering an unknown matching between a set of n$$ n $$ randomly placed points in ℝd$$ {\mathbb{R}}^d $$ and random perturbations of these points. This can be seen as a model for particle tracking and more generally, entity resolution.
Lucas R. Schwengber, Roberto I. Oliveira
wiley   +1 more source

Higher differentiability for the fractional p-Laplacian

Mathematische Annalen
Abstract In this work, we study the higher differentiability of solutions to the inhomogeneous fractional p-Laplace equation under different regularity assumptions on the data. In the superquadratic case, we extend and sharpen several previous results, while in the subquadratic regime our results constitute completely novel developments even ...
Diening, Lars, Kim, Kyeongbae, Lee, Ho-Sik, Nowak, Simon Noah   +3 more
openaire   +3 more sources

Global Hotspots of Stalling Extratropical Cyclones

Geophysical Research Letters, Volume 53, Issue 11, 16 June 2026.
Abstract Extratropical cyclones (ETCs) are primary drivers of extreme weather in the mid‐to‐high latitudes. We introduce a new classification of particularly impactful events—“stalling” ETCs—defined by slow movement combined with intense precipitation. Using cyclone tracking data, we find that stalling ETCs cluster systematically along the east coasts ...
Valentina Ortiz‐Guzmán, Martin Jucker, Steven Sherwood   +2 more
wiley   +1 more source

New Results for p-Laplacian Fractional Instantaneous and Noninstantaneous Impulsive Differential Equations

Journal of Function Spaces
The p-Laplacian fractional differential equations have been studied extensively because of their numerous applications in science and engineering.
Wangjin Yao, Huiping Zhang
doaj   +1 more source

Null controllability from the exterior of fractional parabolic-elliptic coupled systems

Electronic Journal of Differential Equations, 2020
We analyze the null controllability properties from the exterior of two parabolic-elliptic coupled systems governed by the fractional Laplacian $(-d_x^2)^s$, $s\in(0,1)$, in one space dimension.
Carole Louis-Rose
doaj