Results 101 to 110 of about 416,500 (289)

Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains [PDF]

SIAM Journal on Numerical Analysis, 2019
In this paper, we propose a fast spectral-Galerkin method for solving PDEs involving integral fractional Laplacian in $\mathbb{R}^d$, which is built upon two essential components: (i) the Dunford-Taylor formulation of the fractional Laplacian; and (ii ...
Changtao Sheng, Jie Shen, T. Tang, Lilian Wang, Huifang Yuan   +4 more
semanticscholar   +1 more source

Fractional discrete Laplacian versus discretized fractional Laplacian

, 2015
25 pages, 13 ...
Ciaurri, Ó., Roncal, L., Stinga, P. R., Torrea, J. L., Varona, J. L.   +4 more
openaire   +2 more sources

Leveraging Compressed Sensing and Radiomics for Robust Feature Selection for Outcome Prediction in Personalized Ultra‐Fractionated Stereotactic Adaptive Radiotherapy

Advanced Intelligent Systems, EarlyView.
A compressed sensing (CS)‐based feature selection method is proposed to select the most informative elements in the radiomic features extracted from medical images of personalized ultra‐fractionated stereotactic adaptive treatment. The CS‐based approach is able to simplify the feature selection process and enhance the accuracy and robustness of a ...
Yajun Yu, Steve Jiang, Robert Timmerman, Hao Peng   +3 more
wiley   +1 more source

On the Laplacian and fractional Laplacian in an exterior domain

Advances in Differential Equations, 2012
We see that the generalized Fourier transform due to A.G. Ramm for the case of $n=3$ space dimensions remains valid, with some modifications, for all space dimensions $n\ge 2$. We use the resulting spectral representation of the exterior Laplacian to study exterior problems. In particular the Fourier splitting method developed by M.E.
Kosloff, Leonardo, Schonbek, Tomas
openaire   +2 more sources

Reactivity of Pnictaalumenes Towards 1,3‐Dipole Molecules

Angewandte Chemie International Edition, EarlyView.
Pnictaalumenes with a Pn═Al multiple bonds undergo azide or diazoalkene insertions rather than [3+2] cycloadditions. This results in AlN2P heterocycles, which show a great structural variety depending on the sterics of the azide. With TMS‐diazoalkane, thermal rearrangements afford rare cyanidoaluminates. Abstract Alkynes undergo 1,3‐dipolar cyclization
Tim Wellnitz, Edgar Zander, Leonie Wüst, Jakob Boardman, Max Neubauer, Samuel Nees, Holger Braunschweig, Christian Hering‐Junghans   +7 more
wiley   +1 more source

Multiplicity solutions for a class of p-Laplacian fractional differential equations via variational methods

Open Mathematics, 2022
While it is known that one can consider the existence of solutions to boundary-value problems for fractional differential equations with derivative terms, the situations for the multiplicity of weak solutions for the p-Laplacian fractional differential ...
Chen Yiru, Gu Haibo
doaj   +1 more source

Adaptive event‐based asynchronous approach for containment control of Markov jump multi‐agent systems with hidden Markov models

Asian Journal of Control, EarlyView.
Abstract This paper focuses on the issue of adaptive event‐triggered containment control for Markov jump multi‐agent systems characterized by hidden Markov jump parameters. The central objective is to design an output‐feedback controller for the Markov jump multi‐agent system by using an adaptive event‐triggered technique that not only ensures the ...
Parivallal Arumugam, Oh‐Min Kwon, Sangwoon Yun, Yoon Mo Jung   +3 more
wiley   +1 more source

Numerical approximation of the integral fractional Laplacian [PDF]

Numerische Mathematik, 2017
We propose a new nonconforming finite element algorithm to approximate the solution to the elliptic problem involving the fractional Laplacian. We first derive an integral representation of the bilinear form corresponding to the variational problem.
A. Bonito, Wenyu Lei, J. Pasciak
semanticscholar   +1 more source

Uniqueness of Radial Solutions for the Fractional Laplacian [PDF]

Communications on Pure and Applied Mathematics, 2015
AbstractWe prove general uniqueness results for radial solutions of linear and nonlinear equations involving the fractional Laplacian (−Δ)s with s ∊ (0,1) for any space dimensions N ≥ 1. By extending a monotonicity formula found by Cabré and Sire , we show that the linear equation urn:x-wiley:00103640:media:cpa21591:cpa21591-math-0001 has at most one
Frank, Rupert L., Lenzmann, Enno, Silvestre, Luis   +2 more
openaire   +6 more sources

Redox Cycling at Tellurium: Selective and Multiple Activation of Si─H Bonds in Common Organosilanes and SiH4

Chemistry – A European Journal, EarlyView.
The tellurenyl triflate [2‐(tBuNCH)C6H4Te][OTf] effectively activates the Si─H bonds of Et3SiH, Ph4–nSiHn (n = 1–3), SiH4, and complex H‐siloxanes and catalytically converts them in the presence of quinones into siloxylated phenols of high interest for the chemical industry.
Martin Hejda, Lukáš Doležal, Milan Erben, Emanuel Hupf, Aleš Růžička, Jens Beckmann, Libor Dostál   +6 more
wiley   +1 more source