沙漠
发表于 2025-3-25 03:49:25
Multivariate Mean Value Interpolation,Let ..,... ,..} ∈ ℝ be an arbitrary set of knots (not necessarily distinct) and µ. := {.. = ..} - the multiplicity of the point .. in .. The . of a function . is defined as a unique polynomial .. µπr (ℝ) satisfying (see Chapter 1) . where .., ..,...,.., are all the distinct points in ..
PACK
发表于 2025-3-25 09:12:28
Multivariate Pointwise Interpolation,In this chapter, we consider the problem of interpolation of values of a function and its partial derivatives by multivariate polynomials from a certain finite-dimensional space. The interpolation problem consists of the following components:
Esophagitis
发表于 2025-3-25 15:28:27
Interpolation by Algebraic Polynomials,ing attached to these words was that he could construct explicitly the algebraic polynomial of arbitrary degree . which assumes preassigned values ..,..., .. at given points .. < ... < ... Newton described this method in 1687 in the third book of his famous “Principia”. This is the way classical interpolation theory was born.
国家明智
发表于 2025-3-25 18:32:19
Natural Spline Functions,om π.. We shall denote by ..(..,..., ..) the class of natural spline functions of degree 2. - 1 with knots .. It is clear that ..(..,..., ..) consists of all splines . from ..(..,..., ..) which satisfy the boundary conditions:
调整
发表于 2025-3-25 23:01:36
Monosplines,tiplicities ..,..., .. respectively, is any expression of the form . with real coefficients {..} and {..}, 1 ⩽ .. ⩽ . = 1, ... .. The interest in monosplines comes from their close relation with quadrature formulae.
eardrum
发表于 2025-3-26 00:19:41
Multivariate Polynomial Interpolations Arising by Hyperplanes,given traces on the .-dimensional hyperplanes (0 ⩽ . ⩽ . - 1) which are intersections of some hyperplanes from .. We start with the case . = 0, i.e., pointwise interpolation with a node set arising by the hyperplanes ...
Nonconformist
发表于 2025-3-26 05:51:41
Mathematics and Its Applicationshttp://image.papertrans.cn/s/image/874531.jpg
修饰语
发表于 2025-3-26 12:15:45
http://reply.papertrans.cn/88/8746/874531/874531_28.png
刺耳的声音
发表于 2025-3-26 12:49:47
http://reply.papertrans.cn/88/8746/874531/874531_29.png
–DOX
发表于 2025-3-26 16:58:02
Studies in Computational Intelligencehttp://image.papertrans.cn/s/image/865575.jpg