Results 51 to 60 of about 47,892 (174)

Recovering Heat Source from Fourth-Order Inverse Problems by Weighted Gradient Collocation

Mathematics, 2022
The weighted gradient reproducing kernel collocation method is introduced to recover the heat source described by Poisson’s equation. As it is commonly known that there is no unique solution to the inverse heat source problem, the weak solution based on ...
Judy P. Yang, Hsiang-Ming Li
doaj   +1 more source

A New Application of the Reproducing Kernel Hilbert Space Method to Solve MHD Jeffery-Hamel Flows Problem in Nonparallel Walls

Abstract and Applied Analysis, 2013
The present paper emphasizes Jeffery-Hamel flow: fluid flow between two rigid plane walls, where the angle between them is 2α. A new method called the reproducing kernel Hilbert space method (RKHSM) is briefly introduced.
Mustafa Inc, Ali Akgül, Adem Kılıçman   +2 more
doaj   +1 more source

Approximate solution to a multi-point boundary value problem involving nonlocal integral conditions by reproducing kernel method

Mathematical Modelling and Analysis, 2013
In this work, we investigate a sequence of approximations converging to the existing unique solution of a multi-point boundary value problem(BVP) given by a linear fourth-order ordinary differential equation with variable coeffcients involving nonlocal ...
Kemal Ozen, Kamil Orucoglu
doaj   +1 more source

End-to-End Kernel Learning with Supervised Convolutional Kernel Networks [PDF]

, 2016
In this paper, we introduce a new image representation based on a multilayer kernel machine. Unlike traditional kernel methods where data representation is decoupled from the prediction task, we learn how to shape the kernel with supervision.
Mairal, Julien
core   +3 more sources

Reproducing kernel particle method and its modification [PDF]

Mathematica Bohemica, 2010
Summary: Meshless methods have become an effective tool for solving problems from engineering practice in last years. They have been successfully applied to problems in solid and fluid mechanics. One of their advantages is that they do not require any explicit mesh in computation. This is the reason why they are useful in the case of large deformations,
openaire   +2 more sources

Numerical Solution of Fractional Order Burgers’ Equation with Dirichlet and Neumann Boundary Conditions by Reproducing Kernel Method

Fractal and Fractional, 2020
In this research, obtaining of approximate solution for fractional-order Burgers’ equation will be presented in reproducing kernel Hilbert space (RKHS). Some special reproducing kernel spaces are identified according to inner products and norms.
Onur Saldır, Mehmet Giyas Sakar, Fevzi Erdogan   +2 more
doaj   +1 more source

Applications of Bergman kernel functions [PDF]

, 2003
In this paper we revisit the so-called Bergman kernel method (BKM) for solving conformal mapping problems. This method is based on the reproducing property of the Bergman kernel function.
Bock, S., Falcão, M. I., Gürlebeck, K.
core  

Numerical Algorithm for the Third-Order Partial Differential Equation with Three-Point Boundary Value Problem

Abstract and Applied Analysis, 2014
A numerical method based on the reproducing kernel theorem is presented for the numerical solution of a three-point boundary value problem with an integral condition.
Jing Niu, Ping Li
doaj   +1 more source

The high-order smooth interpolated reproducing kernel particle method for elastodynamics problems

Boundary Value Problems, 2022
Combining the interpolation reproducing kernel particle method (IRKPM) with the integral weak form of elastodynamics, we present a high-order smooth interpolated reproducing kernel particle method for an elastodynamics plane problem.
Jinpeng Gu, Yixiao Qin, Zhonghua Li
doaj   +1 more source

Kernel Bayes' rule [PDF]

, 2011
A nonparametric kernel-based method for realizing Bayes' rule is proposed, based on representations of probabilities in reproducing kernel Hilbert spaces. Probabilities are uniquely characterized by the mean of the canonical map to the RKHS.
Fukumizu, Kenji, Gretton, Arthur, Song, Le   +2 more
core   +1 more source