Results 11 to 20 of about 114,795,099 (259)
Smooth polynomial interpolation to boundary data on triangles [PDF]
, 1973 Boolean sum interpolation theory is used to derive a polynomial interpolant which interpolates a function F ∈ CN(∂T), and its derivatives of order N and less, on the boundary 3T of a triangle T.
Gregory, JA, Barnhill, RE
core +6 more sources
Interpolation remainder theory from taylor expansions with non-rectangular domains of influence [PDF]
, 1972 Sobolev norm error bounds are derived for interpolation remainders on triangles using two types of Taylor expansion. These bounds are applied to the finite element analysis of Poisson's equation on a triangulation of a polygonal ...
Gregory, JA, Barnhill, RE
core +6 more sources
Error bound for radial basis interpolation in terms of a growth function [PDF]
, 2007 We suggest an improvement of Wu-Schaback local error bound for radial basis interpolation by using a polynomial growth function. The new bound is valid without any assumptions about the density of the interpolation centers.
Davydov, Oleg
core +3 more sources
Cubic spline interpolation of harmonic functions [PDF]
, 1973 It is shown that for the two dimensional Laplace equation a univariate cubic spline approximation in either space direction together with a difference approximation in the other leads to the well-known nine-point finite-difference formula.
Whiteman, J R, Papamichael, N
core +6 more sources
Shape preserving piecewise rational interpolation [PDF]
, 1983 An explicit representation of a C1 piecewise rational cubic function is developed which can be used to solve the problem of shape preserving interpolation.
Gregory, JA, Delbourgo, R
core +6 more sources
Interpolation of several multiparametric approximation spaces [PDF]
, 2004 We prove a general interpolation theorem for linear operators acting simultaneously in several approximation spaces which are defined by multiparametric approximation families.
Asekritova, Irina, +3 more
core +1 more source
Solving Poisson Equations by the MN-Curve Approach
Mathematics, 2022 In this paper, we adopt the choice theory of the shape parameters contained in the smooth radial basis functions to solve Poisson equations. Luh’s choice theory, based on harmonic analysis, is mathematically complicated and applies only to function ...
Lin-Tian Luh
doaj +1 more source
Modified Fourier expansions: theory, construction and applications [PDF]
, 2010 Modified Fourier expansions present an alternative to more standard algorithms for the approximation of nonperiodic functions in bounded domains. This thesis addresses the theory of such expansions, their effective construction and computation, and ...
core +2 more sources
Interpolation and scattered data fitting on manifolds using projected Powell–Sabin splines [PDF]
, 2008 We present methods for either interpolating data or for fitting scattered data on a two-dimensional smooth manifold. The methods are based on a local bivariate Powell-Sabin interpolation scheme, and make use of a family of charts {(Uξ , ξ)}ξ∈ satisfying ...
Schumaker, L.L., Davydov, O.
core +2 more sources
Quadratic Interpolation and Linear Lifting Design
EURASIP Journal on Image and Video Processing, 2007 A quadratic image interpolation method is stated. The formulation is connected to the optimization of lifting steps. This relation triggers the exploration of several interpolation possibilities within the same context, which uses the theory of convex ...
Joel Solé, Philippe Salembier
doaj +2 more sources