Results 21 to 30 of about 430 (61)
Discrete differential operators in multidimensional Haar wavelet spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 44, Page 2347-2355, 2004., 2004 We consider a class of discrete differential operators acting on multidimensional Haar wavelet basis with the aim of finding wavelet approximate solutions of partial differential problems. Although these operators depend on the interpolating method used for the Haar wavelets regularization and the scale dimension space, they can be easily used to ...
Carlo Cattani, Luis M. Sánchez Ruiz
wiley +1 more source
Reconstruction in time‐warped weighted shift‐invariant spaces with application to spline subspaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 65, Page 4131-4137, 2003., 2003 We discuss the reproducing kernel structure in shift‐invariant spaces and the weighted shift‐invariant spaces, and obtain the reconstruction formula in time‐warped weighted shift‐invariant spaces, then apply them to a spline subspace. In the spline subspace, we give a reconstruction formula in a time‐warped spline subspace.
Jun Xian, Yongjin Li
wiley +1 more source
Reproducing Kernel Hilbert Space and Coalescence Hidden-variable Fractal Interpolation Functions
Demonstratio Mathematica, 2019 Reproducing Kernel Hilbert Spaces (RKHS) and their kernel are important tools which have been found to be incredibly useful in many areas like machine learning, complex analysis, probability theory, group representation theory and the theory of integral ...
Prasad Srijanani Anurag
doaj +1 more source
Journal of Ocean Engineering and Science, 2018 A numerical treatment for self-adjoint singularly perturbed second-order two-point boundary value problems using trigonometric quintic B-splines is presented, which depend on different engineering applications.
Khalid K. Ali +2 more
doaj +1 more source
A note on quasi‐monotone operators
International Journal of Mathematics and Mathematical Sciences, Volume 10, Issue 1, Page 203-204, 1987., 1987 The treatment of nonlinear problems using a general framework is often a delicate issue. This is illustrated by the fact that the quasi‐monotone operators of M. A. Noor are constant operators.
S. S. Chow
wiley +1 more source
Error estimates for the finite element solutions of variational inequalities
International Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 3, Page 565-570, 1981., 1980 For piecewise linear approximation of variational inequalities associated with the mildly nonlinear elliptic boundary value problems having auxiliary constraint conditions, we prove that the error estimate for u − uh in the W1,2‐norm is of order h.
M. Aslam Noor
wiley +1 more source
About one algorithm of bidimensional interpolation using splines [PDF]
Computer Science Journal of Moldova, 2011 In the paper an explicit algorithm for the problem of two-dimensional spline interpolation on a rectangular grid is proposed. MSC2000: 41A05, 41A15, 65D05, 65D07.
Igor Verlan
doaj
Finite element differential forms on curvilinear cubic meshes and their approximation properties [PDF]
, 2013 We study the approximation properties of a wide class of finite element differential forms on curvilinear cubic meshes in n dimensions. Specifically, we consider meshes in which each element is the image of a cubical reference element under a ...
Arnold, Douglas N. +2 more
core +3 more sources
Robust Localization of the Best Error with Finite Elements in the Reaction-Diffusion Norm [PDF]
, 2014 We consider the approximation in the reaction-diffusion norm with continuous finite elements and prove that the best error is equivalent to a sum of the local best errors on pairs of elements.
Tantardini, Francesca +2 more
core +2 more sources
Convexity preserving interpolation by splines of arbitrary degree [PDF]
Computer Science Journal of Moldova, 2010 In the present paper an algorithm of $C^{2}$ interpolation of discrete set of data is given using splines of arbitrary degree, which preserves the convexity of given set of data.
Igor Verlan
doaj