Results 21 to 30 of about 35,914 (259)

Equivariant Hypergraph Diffusion Neural Operators

CoRR, 2022
Code: https://github.com/Graph-COM/ED ...
Peihao Wang, Shenghao Yang 0002, Yunyu Liu, Zhangyang Wang, Pan Li 0005   +4 more
openaire   +3 more sources

A reduced basis method for fractional diffusion operators II [PDF]

Journal of Numerical Mathematics, 2021
Abstract We present a novel numerical scheme to approximate the solution map s ↦ u(s) := 𝓛–s f to fractional PDEs involving elliptic operators. Reinterpreting 𝓛–s as an interpolation operator allows us to write u(s) as an integral including solutions to a parametrized family of ...
Tobias Danczul, Joachim Schöberl
openaire   +4 more sources

Arbitrary-Order Finite-Time Corrections for the Kramers–Moyal Operator

Entropy, 2021
With the aim of improving the reconstruction of stochastic evolution equations from empirical time-series data, we derive a full representation of the generator of the Kramers–Moyal operator via a power-series expansion of the exponential operator.
Leonardo Rydin Gorjão, Dirk Witthaut, Klaus Lehnertz, Pedro G. Lind   +3 more
doaj   +1 more source

An Operator-Based Approach for Modeling Influence Diffusion in Complex Social Networks

Journal of Social Computing, 2021
Social media have dramatically changed the mode of information dissemination. Various models and algorithms have been developed to model information diffusion and address the influence maximization problem in complex social networks.
Chenting Jiang, Anthony D’Arienzo, Weihua Li, Shiqing Wu, Quan Bai   +4 more
doaj   +1 more source

Eigenvalues of diffusion operators and Prime numbers

Cumhuriyet Science Journal, 2017
In this paper, the relationship between the positive eigenvalues ofdiffusion operators and prime numbers is investigated. We also propose a Sturm-Liouvilleproblem with Coulomb singularity that shows eigenvalues the distribution ofprime numbers.
Rauf Amirov, İbrahim Adalar
doaj   +1 more source

Integral Representation for Solution of Discontinuous Diffusion Operator with Jump Conditions

Cumhuriyet Science Journal, 2018
In this study, the diffusion operator with discontinuity function andthe jump conditions is considered. Under certain initial and discontinuityconditions, integral equations have been derived for the solutions.
Abdullah Ergün
doaj   +1 more source

One-Dimensional Degenerate Diffusion Operators [PDF]

Mediterranean Journal of Mathematics, 2013
The aim of this paper is to present some results about generation, sectoriality and gradient estimates both for the semigroup and for the resolvent of suitable realizations of the operators [\Ab u(x)=γxu"(x) + b u'(x),] with constants $γ>0$ and $b\geq 0$, in the space $C([0,\infty])$
ALBANESE, Angela Anna, MANGINO, Elisabetta Maria   +1 more
openaire   +2 more sources

Advection–Diffusion Lattice Boltzmann Method With and Without Dynamical Filter

Frontiers in Physics, 2022
In multi-component flow and/or thermal flows, when the diffusion coefficient of the advection–diffusion equation is relatively small, the relaxation coefficient in the lattice Boltzmann method will be close to 0.5, which will lead to numerical ...
Zhihong Zhang, Zhiqiang Li, Yunke Wu
doaj   +1 more source

Fractional view analysis of the diffusion equations via a natural Atangana-Baleanu operator

Alexandria Engineering Journal, 2023
In this article, the natural transform decomposition method (NTDM) is applied to evaluate the fractional-order diffusion equations utilizing the Atangana-Baleanu operator.
Himayat Ullah Jan, Hakeem Ullah, Mehreen Fiza, Ilyas Khan, Sayed M. Eldin   +4 more
doaj   +1 more source

An anomalous diffusion model based on a new general fractional operator with the Mittag-Leffler function of Wiman type

Advances in Difference Equations, 2018
In this article, an anomalous diffusion model via a new Liouville-Caputo general fractional operator with the Mittag-Leffler function of Wiman type is investigated for the first time.
Xin Liang, Feng Gao, Chun-Bo Zhou, Zhen Wang, Xiao-Jun Yang   +4 more
doaj   +1 more source