Results 21 to 30 of about 1,456,699 (307)

The Polyanalytic Reproducing Kernels [PDF]

open access: yesComplex Analysis and Operator Theory, 2019
17
Hicham Hachadi, El Hassan Youssfi
openaire   +3 more sources

New Reproducing Kernel Functions [PDF]

open access: yesMathematical Problems in Engineering, 2015
Some new reproducing kernel functions on time scales are presented. Reproducing kernel functions have not been found on time scales till now. These functions are very important on time scales and they will be very useful for researchers. We need these functions to solve dynamic equations on time scales with the reproducing kernel method.
openaire   +4 more sources

Theory of Reproducing Kernels [PDF]

open access: yesTransactions of the American Mathematical Society, 1950
Abstract : The present paper may be considered as a sequel to our previous paper in the Proceedings of the Cambridge Philosophical Society, Theorie generale de noyaux reproduisants-Premiere partie (vol. 39 (1944)) which was written in 1942-1943. In the introduction to this paper we outlined the plan of papers which were to follow.
openaire   +3 more sources

Permutationally Invariant, Reproducing Kernel-Based Potential Energy Surfaces for Polyatomic Molecules: From Formaldehyde to Acetone. [PDF]

open access: yesJournal of Chemical Theory and Computation, 2020
Constructing accurate, high-dimensional molecular potential energy surfaces (PESs) for polyatomic molecules is challenging. Reproducing kernel Hilbert space (RKHS) interpolation is an efficient way to construct such PESs.
Debasish Koner, M. Meuwly
semanticscholar   +1 more source

A nice asymptotic reproducing kernel

open access: yesCubo, 2023
We extend the assertion of Problem 12340 in Amer. Math. Monthly 129 (2022), 686, by deriving some additional asymptotic behaviour of that special kernel.
Raymond Mortini
doaj   +1 more source

Using Reproducing Kernel for Solving a Class of Fractional Order Integral Differential Equations

open access: yesAdvances in Mathematical Physics, 2020
This paper is devoted to the numerical scheme for a class of fractional order integrodifferential equations by reproducing kernel interpolation collocation method with reproducing kernel function in the form of Jacobi polynomials.
Zhiyuan Li   +3 more
doaj   +1 more source

Reproducing kernel functions-based meshless method for variable order fractional advection-diffusion-reaction equations

open access: yesAlexandria Engineering Journal, 2020
In this paper, on the basis of the reproducing kernel functions, a novel meshless algorithm is explored for fractional advection–diffusion-reaction equations (ADREs) with Caputo time variable order.
Xiuying Li, Boying Wu
doaj   +1 more source

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

Solving the Lane–Emden Equation within a Reproducing Kernel Method and Group Preserving Scheme

open access: yesMathematics, 2017
We apply the reproducing kernel method and group preserving scheme for investigating the Lane–Emden equation. The reproducing kernel method is implemented by the useful reproducing kernel functions and the numerical approximations are given.
Mir Sajjad Hashemi   +4 more
doaj   +1 more source

A Novel Approach to Calculation of Reproducing Kernel on Infinite Interval and Applications to Boundary Value Problems

open access: yesAbstract and Applied Analysis, 2013
A new analytical method for the computation of reproducing kernel is proposed and tested on some examples. The expression of reproducing kernel on infinite interval is obtained concisely in polynomial form for the first time. Furthermore, as a particular
Jing Niu, Yingzhen Lin, Minggen Cui
doaj   +1 more source

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