Results 11 to 20 of about 2,700 (198)

Analytical Solutions of the Diffusion–Wave Equation of Groundwater Flow with Distributed-Order of Atangana–Baleanu Fractional Derivative

open access: yesApplied Sciences, 2021
A generalized mathematical model of the radial groundwater flow to or from a well is studied using the time-fractional derivative with Mittag-Lefler kernel.
Nehad Ali Shah   +4 more
doaj   +1 more source

Renormalization, wavelets, and the Dirichlet-Shannon kernels

open access: yesPhysical Review D, 2023
In constructive quantum field theory (CQFT) it is customary to first regularise the theory at finite UV and IR cut-off. Then one first removes the UV cutoff using renormalisation techniques applied to families of CQFT's labelled by finite UV resolutions and then takes the thermodynamic limit.
openaire   +2 more sources

Generalized Jacobi reproducing kernel method in Hilbert spaces for solving the Black-Scholes option pricing problem arising in financial modelling

open access: yesMathematical Modelling and Analysis, 2018
Based on the reproducing kernel Hilbert space method, a new approach is proposed to approximate the solution of the Black-Scholes equation with Dirichlet boundary conditions and introduce the reproducing kernel properties in which the initial conditions ...
Mohammadreza Foroutan   +2 more
doaj   +1 more source

An application of the inequality for modified Poisson kernel

open access: yesJournal of Inequalities and Applications, 2016
As an application of an inequality for modified Poisson kernel obtained by Qiao and Deng (Bull. Malays. Math. Sci. Soc. (2) 36(2):511-523, 2013), we give the generalized solution of the Dirichlet problem with arbitrary growth data.
Gaixian Xue, Junfei Wang
doaj   +1 more source

A Numerical Study for the Dirichlet Problem of the Helmholtz Equation

open access: yesMathematics, 2021
In this paper, an effective numerical method for the Dirichlet problem connected with the Helmholtz equation is proposed. We choose a single-layer potential approach to obtain the boundary integral equation with the density function, and then we deal ...
Yao Sun, Shijie Hao
doaj   +1 more source

Orthonormal sets with non-negative Dirichlet kernels [PDF]

open access: yesTransactions of the American Mathematical Society, 1960
are much more accessible than otherwise. In particular, if S= [0, 1] and fo(s) -1, it is immediate that Ln(s) 1 for all n. This is exactly the situation one finds in the case of the classical Haar functions (see [1] or [3]). The uniform boundedness of the functions Ln(s) leads to a proof that the expansion of a continuous function g(x) on [0, 1] in ...
openaire   +2 more sources

Boundary conformal invariants and the conformal anomaly in five dimensions

open access: yesPhysics Letters B, 2021
In odd dimensions the integrated conformal anomaly is entirely due to the boundary terms [1]. In this paper we present a detailed analysis of the anomaly in five dimensions.
Amin Faraji Astaneh   +1 more
doaj   +1 more source

Minimax properties of Dirichlet kernel density estimators

open access: yesJournal of Multivariate Analysis, 2023
18 pages, 1 ...
Bertin, Karine   +3 more
openaire   +5 more sources

The Gaussian free field and strict plane partitions [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2013
We study height fluctuations around the limit shape of a measure on strict plane partitions. It was shown in our earlier work that this measure is a Pfaffian process. We show that the height fluctuations converge to a pullback of the Green's function for
Mirjana Vuletić
doaj   +1 more source

Dirichlet heat kernel for unimodal Lévy processes

open access: yesStochastic Processes and their Applications, 2014
38 ...
Bogdan, Krzysztof   +2 more
openaire   +3 more sources

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