Results 31 to 40 of about 434 (57)

Simultaneous approximation with the RAFU method

, 2016
Let f be a function k times continuously differentiable in [a,b] , then we will prove that the RAFU method provides a sequence (Hn)n defined in [a,b] such that for each j = 0, ...,k ∥∥ f ( j) −H j) n ∥∥ [ M−m √ n +ω ( f (k), b−a n )] (b−a)k− j being n 2 ,
E. Corbacho
semanticscholar   +1 more source

Severi-Bouligand tangents, Frenet frames and Riesz spaces [PDF]

, 2014
It was recently proved that a compact set $X\subseteq \mathbb R^2$ has an outgoing Severi-Bouligand tangent vector $u\not=0$ at $x\in X$ iff some principal ideal of the Riesz space $\mathcal R(X)$ of piecewise linear functions on $X$ is not an ...
Cabrer, Leonardo Manuel, Mundici, Daniele   +1 more
core   +3 more sources

Taylor Series for Adomian Decomposition Method

, 2011
In the paper we analyse the exact solutions to scalar PDEs obtained thanks to summable Taylor series provided by Adomian's decomposition method. We propose the modification of the method which makes the calculations of Taylor coefficients easier and more
Kutafina, Ekaterina
core   +1 more source

Two-dimensional body of maximum mean resistance [PDF]

, 2009
A two-dimensional body, exhibiting a slight rotational movement, moves in a rarefied medium of particles which collide with it in a perfectly elastic way.
Alexander Plakhov, Brock, Buttazzo, Buttazzo, Buttazzo, Comte, Delfim F.M. Torres, Hook, Horstmann, Kernighan, Lachand-Robert, Lachand-Robert, Lachand-Robert, Paulo D.F. Gouveia, Plakhov, Plakhov, Plakhov, Plakhov, Plakhov, Plakhov   +19 more
core   +3 more sources

An extended Prony’s interpolation scheme on an equispaced grid

Open Mathematics, 2015
An interpolation scheme on an equispaced grid based on the concept of the minimal order of the linear recurrent sequence is proposed in this paper.
Karalienė Dovile, Navickas Zenonas, Čiegis Raimondas, Ragulskis Minvydas   +3 more
doaj   +1 more source

Adaptive meshless refinement schemes for RBF-PUM collocation

, 2018
In this paper we present an adaptive discretization technique for solving elliptic partial differential equations via a collocation radial basis function partition of unity method. In particular, we propose a new adaptive scheme based on the construction
Cavoretto, R., De Rossi, A.
core   +1 more source

Variants of the Empirical Interpolation Method: symmetric formulation, choice of norms and rectangular extension

, 2015
The Empirical Interpolation Method (EIM) is a greedy procedure that constructs approximate representations of two-variable functions in separated form. In its classical presentation, the two variables play a non-symmetric role.
Casenave, Fabien, Ern, Alexandre, Lelièvre, Tony   +2 more
core   +3 more sources

Bell wavelets method to solve class of fractional differential equations arising in fluid mechanics

Partial Differential Equations in Applied Mathematics
This study introduces a new Bell wavelet matrix method to solve a class of fractional differential equations arising in fluid mechanics. The class under consideration comprises the fractional relaxation-oscillation equation (R-OE) as a special case.
Pooja Yadav, Shah Jahan, Kottakkaran Sooppy Nisar   +2 more
doaj   +1 more source

Enhanced curve representations using piecewise non-linear binary subdivision scheme

Arab Journal of Basic and Applied Sciences
This study presents a piecewise non-linear binary subdivision scheme based on a four-point linear binary subdivision scheme. This scheme is first transformed into a piecewise linear subdivision scheme and then into a piecewise non-linear subdivision ...
Rabia Hameed, Areeb Jamil, Jihad Younis
doaj   +1 more source

A kind of univariate improved Shepard-Euler operators

Open Mathematics
In this paper, a kind of univariate Shepard-Euler operators is studied by combining the known Shepard operator with the generalized Taylor polynomial as the expansion in the Euler polynomials.
Wu Ruifeng
doaj   +1 more source