Results 261 to 270 of about 1,456,699 (307)

Piecewise reproducing kernel method for linear impulsive delay differential equations with piecewise constant arguments

Applied Mathematics and Computation, 2019
In this paper, we introduce a piecewise reproducing kernel method for impulsive delay differential equations with piecewise constant arguments. The method is an improved reproducing kernel method.
Xiuying Li, Haixia Li, Boying Wu
semanticscholar   +1 more source

Reproducing kernel functions based univariate spline interpolation

Applied Mathematics Letters, 2021
F. Geng, Xinyuan Wu
semanticscholar   +1 more source

Reproducing Kernels and Discretization

2015
We give a short survey of a general discretization method based on the theory of reproducing kernels. We believe our method will become the next generation method for solving analytical problems by computers. For example, for solving linear PDEs with general boundary or initial value conditions, independently of the domains.
Castro, L. P., Fujiwara, H., Rodrigues, M. M., Saitoh, S., Tuan, V. K.   +4 more
openaire   +2 more sources

Reproducing Kernels and Finite Order Kernels

1991
Recent literature on density and regression function estimation has shown the interest of kernels of order s, i.e. kernels with (s-1) vanishing moments. We define here a multi-stage procedure to build estimates based on increasing order kernels and leading to a data-driven choice of both the order and the smoothing parameter. Some asymptotic as well as
openaire   +1 more source

Reproducing kernel particle methods

, 1995
Wing Kam Liu, S. Jun, Y. Zhang
semanticscholar   +1 more source

Reproducing kernels and Riccati equations.

2001
Summary: The purpose of this paper is to exhibit a connection between the Hermitian solutions of matrix Riccati equations and a class of finite-dimensional reproducing kernel Krein spaces. This connection is then exploited to obtain minimal factorizations of rational matrix-valued functions that are \(J\)-unitary on the imaginary axis in a natural way.
openaire   +1 more source

Reproducing kernel Hilbert spaces

2011
Hinter der Konstruktion von Hilberträumen mit reproduzierendem Kern verbirgt sich eine Theorie von Bijektionen bzw. Transformationen, die einen positiv definiten Kern mit einem Hilbertraum von Funktionen verbindet. Das Ziel dieser Diplomarbeit ist es einen Überblick über die Theorie der Hilberträume mit reproduzierendem Kern und ihrer Anwendungen zu ...
openaire   +1 more source

When and why PINNs fail to train: A neural tangent kernel perspective

Journal of Computational Physics, 2022
Sifan Wang, Xinling Yu
exaly  

An Introduction to the Theory of Reproducing Kernel Hilbert Spaces

, 2016
V. Paulsen, M. Raghupathi
semanticscholar   +1 more source

Reconfigurable mixed-kernel heterojunction transistors for personalized support vector machine classification

Nature Electronics, 2023
, Xuechun Wang, Vinod K Sangwan
exaly