Results 261 to 270 of about 4,894 (291)

Constructing re-substitution entropy estimator with discontinuous kernels

2013 International Conference on Wavelet Analysis and Pattern Recognition, 2013
Gaussian kernel is a continous kernel which is always used in the re-substitution entropy estimator (RSEE) to estimate the underlying entropy for the continuous random variable. Meanwhile, there are also some other discontinuous kernels that can be used to conduct the probability density function estimation and kernel regression analysis.
Cheng Xu, Su-Juan Wang, Yulin He
exaly   +2 more sources

Kernel‐based active subspaces with application to computational fluid dynamics parametric problems using the discontinuous Galerkin method

International Journal for Numerical Methods in Engineering, 2022
Nonlinear extensions to the active subspaces method have brought remarkable results for dimension reduction in the parameter space and response surface design. We further develop a kernel-based nonlinear method. In particular we introduce it in a broader
Marco Tezzele, Gianluigi Rozza
exaly   +3 more sources

Kernel-free boundary integral method for two-phase Stokes equations with discontinuous viscosity on staggered grids

Journal of Computational Physics, 2023
A discontinuous viscosity coefficient makes the jump conditions of the velocity and normal stress coupled together, which brings great challenges to some commonly used numerical methods to obtain accurate solutions. To overcome the difficulties, a kernel
Haixia Dong, Shuwang Li, Wenjun Ying
exaly   +2 more sources

ON DISCONTINUITY OF THE BERGMAN KERNEL FUNCTION

International Journal of Mathematics, 1999
Let [Formula: see text] be a Ck-smoothly (with k≥1) bounded pseudoconvex domain and [Formula: see text] denote its Bergman kernel function. In this article the question is investigated, whether the function [Formula: see text] is continuous up to the boundary in the topology of the extended real line [Formula: see text].
Diederich, Klas, Herbort, Gregor
openaire   +1 more source

A sampling theorem for transforms with discontinuous kernels

Applicable Analysis, 2004
We present a sampling representation for the transform where the kernel is a solution of an nth order differential equation l (y) = λy. Here the differential expression l is defined to be l = l1 on [−1,0) and l = l2 on (0,1], l1 and l2 are in general two different nth order differential expressions.
Mahmoud Annaby, Gerhard Freiling
openaire   +1 more source

A simplified discontinuous reproducing kernel method for impulsive differential equations

Applied Mathematics and Computation
Liangcai Mei, Yingzhen Lin, Boying Wu
exaly   +2 more sources

Kernel estimators for probability densities with discontinuities

Statistics, 1990
There is studied the behaviour of kernel estimators, particularly, convergence in probability, convergence a.s.
openaire   +1 more source

Treatment of discontinuity in the reproducing kernel element method

International Journal for Numerical Methods in Engineering, 2005
AbstractA discontinuous reproducing kernel element approximation is proposed in the case where weak discontinuity exists over an interface in the physical domain. The proposed method can effectively take care of the discontinuity of the derivative by truncating the window function and global partition polynomials.
Hongsheng Lu, Do Wan Kim, Wing Kam Liu
openaire   +1 more source

Uniform Approximation Theory for Integral Equations with Discontinuous Kernels

SIAM Journal on Numerical Analysis, 1967
In effect, (1.2) provides an interpolation formula for gn (x) in terms of the gn (tnk ) . There have been many studies of this approximation method, mostly with g (x), h (x) and K (x, y) continuous for 0 < x, y < 1. Recent references include Buickner [1], [2], [3], Kantorovitch and Krylov [4], Mysovskih [5], [6], [7], Brakhage [8], Anselone and Moore ...
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Inversion of integral operators with kernels discontinuous on the diagonal

Mathematical Notes, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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