Results 51 to 60 of about 5,678 (257)
Polynomial Interpolation of the Function of Two Variables with Large Gradients in the Boundary Layers [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2016 The problem of interpolation of the function of two variables with large gradients in the boundary layers is investigated. It is assumed that the function has large gradients near the boundaries of a rectangular domain.
A.I. Zadorin, N.A. Zadorin
doaj
Lagrange interpolation for continuous piecewise smooth functions
, 2008 This note is devoted to Lagrange interpolation for continuous piecewise smooth functions. A new family of interpolatory functions with explicit approximation error bounds is obtained.
Amat, Sergio +3 more
core +1 more source
Advanced Intelligent Systems, EarlyView.This paper proposes a novel control framework to ensure safety of a robotic swarm. A feedback optimization controller is capable of driving the swarm toward a target density while keeping risk‐zone exposure below a safety threshold. Theory and experiments show how safety is more effectively achieved for sparsely connected swarms.
Longchen Niu, Gennaro Notomista
wiley +1 more source
Sur la géométrie des ensembles de nœuds pour l’interpolation de Lagrange en plusieurs variables
Comptes Rendus. Mathématique, 2023 Given a valid set $X$ of interpolation points for Lagrange interpolation of degree $d$ in $n$ variables we study how many subsets of $X$ can be chosen in order to obtain a valid set of interpolation points of degree $d-1$.
Bertrand, François
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Bivariate Lagrange interpolation at the Chebyshev nodes
, 2010 We discuss Lagrange interpolation on two sets of nodes in two dimensions where the coordinates of the nodes are Chebyshev points having either the same or opposite parity.
Lawrence Harris
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Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
wiley +1 more source
Journal Focus Action of Research MathematicPenelitian ini bertujuan untuk mengeksplorasi penggunaan metode interpolasi polinom Lagrange dan interpolasi polinom Newton-Gregory forward dalam mengestimasi tren pendaftaran mahasiswa baru di beberapa program studi di Fakultas Tarbiyah IAIN Kediri ...
Ahmad Syamsudin, M. Syamsul Ma'arif
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Error Bounds for Lagrange Interpolation
Journal of Approximation Theory, 1995 Consider an interpolation of functions \(f\in W_ \infty^ m [a,b]\) by Lagrange polynomials \(\ell_{m-1}\), \(\Delta(f)\) of degree \(m-1\) at the mesh \(\Delta\) of the interpolating nodes \(\{t_ j\}^ m_ 1\). Error bounds due to this approximation is evaluated as \[ L_{m,k} (\Delta)= \sup_{x\in [a,b]} L_{m,k} (\Delta,x)= {\textstyle {1\over m ...
openaire +1 more source
Front Propagation Through a Perforated Wall
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki +2 more
wiley +1 more source
A continuity property of multivariate Lagrange interpolation [PDF]
Mathematics of Computation, 1997 Let { S t
Thomas Bloom, Jean-Paul Calvi
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