Results 81 to 90 of about 12,008 (303)

A graph discretization of the Laplace-Beltrami operator [PDF]

, 2013
We show that eigenvalues and eigenfunctions of the Laplace–Beltrami operator on a Riemannian manifold are approximated by eigenvalues and eigenvectors of a (suitably weighted) graph Laplace operator of a proximity graph on an epsilon ...
Sergei Ivanov, Dmitri Burago, Kurylev, Y, Ivanov, S, Yaroslav Kurylev, Burago, D   +5 more
core  

Laplace-Beltrami operator on the orthogonal group in Cartesian coordinates

, 2023
Using the embedded gradient vector field method (see P. Birtea, D. Comanescu, Hessian operators on constraint manifolds, J. Nonlinear Science 25, 2015), we present a general formula for the Laplace-Beltrami operator defined on a constraint manifold ...
Birtea, Petre, Casu, Ioan, Comanescu, Dan   +2 more
core   +1 more source

On some possible applications of Laplace operator in a revolved coordinate system for numerical calculations

Тонкие химические технологии, 2013
The Laplace operator in a revolved coordinate system (the “revolved” Laplace operator) is introduced in numerical mesh method along diagonal lines. In this paper an attempt is made to use it for numerical solution of the two-dimensional Poisson equation.
A. B. Chaadaev
doaj  

Pervasiveness of the p-Laplace operator under localization of fractional g-Laplace operators

Journal of Nonlinear and Variational Analysis
In this work we analyze the behavior of truncated functionals as \begin{equation*} \int_{\mathbb{R}^N}\int_{B(x,δ)} G\left(\frac{|u(x)-u(y)|}{|x-y|^{s}}\right)\frac{dydx}{|x-y|^N}\qquad\text{for }δ\to0^+. \end{equation*} Here the function $G$ is an Orlicz function that in addition is assumed to be a regularly varying function at $0$.
openaire   +4 more sources

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

An Efficient Analytical Technique, for The Solution of Fractional-Order Telegraph Equations

Mathematics, 2019
In the present article, fractional-order telegraph equations are solved by using the Laplace-Adomian decomposition method. The Caputo operator is used to define the fractional derivative.
Hassan Khan, Rasool Shah, Poom kumam, Dumitru Baleanu, Muhammad Arif   +4 more
doaj   +1 more source

[Three-dimensional reconstruction of femur based on Laplace operator and statistical shape model]. [PDF]

Sheng Wu Yi Xue Gong Cheng Xue Za Zhi, 2023
Zhang Z, Zhang X, Zhang Y, Jin Z.
europepmc   +1 more source

Design, Control, and Clinical Applications of Magnetic Actuation Systems: Challenges and Opportunities

Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.
This review aims to provide a broad understanding for interdisciplinary researchers in engineering and clinical applications. It addresses the development and control of magnetic actuation systems (MASs) in clinical surgeries and their revolutionary effects in multiple clinical applications.
Yingxin Huo, Lidong Yang, Tiantian Xu, Dong Sun   +3 more
wiley   +1 more source

A natural Finsler-Laplace operator [PDF]

, 2018
We give a new definition of a Laplace operator for Finsler metric as an average with regard to an angle measure of the second directional derivatives. This definition uses a dynamical approach due to Foulon that does not require the use of connections or
Barthelmé, Thomas
core  

Gegenbauer type polynomial solutions for the higher spin laplace operator

, 2016
: In this paper we study special polynomial solutions to the higher spin Laplace operator, which is a conformally invariant second-order operator acting on fields taking values in the space of symmetric tensors.
David Eelbode, Tim Janssens, Eelbode, David, Janssens, Tim   +3 more
core   +1 more source