output
19952026
most citedInverse Problem for a Curved Quantum Guide

1k citations

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Showing 2011 · math.NAShow all

5 papers · 2 filters

math.NA2011★ 15 cited

On the Continuity of Multivariate Lagrange Interpolation at Chung-Yao Lattices

Jean-Paul Calvi, Phung Van Manh

We give a natural geometric condition that ensures that sequences of Chung-Yao interpolation polynomials (of fixed degree) of sufficiently differentiable functions converge to a Ta…

math.NA2011★ 19 cited

Uniform stability estimates for the discrete Calderon problems

S. Ervedoza, F. de Gournay

In this article, we focus on the analysis of discrete versions of the Calderon problem in dimension d \geq 3. In particular, our goal is to obtain stability estimates for the discr…

math.NA2011★ 33 cited

Adaptative Step Size Selection for Homotopy Methods to Solve Polynomial Equations

Jean-Pierre Dedieu, Gregorio Malajovich, Michael Shub

Given a C^1 path of systems of homogeneous polynomial equations f_t, t in [a,b] and an approximation x_a to a zero zeta_a of the initial system f_a, we show how to adaptively choos…

math.NA2011★ 45 cited

Lagrange interpolation at real projections of Leja sequences for the unit disk

Jean-Paul Calvi, Phung Van Manh

We show that the Lebesgue constant of the real projection of Leja sequences for the unit disk grows like a polynomial. The main application is the first construction of explicit mu…

math.NA2011★ 66 cited

An Asymptotic-Preserving method for highly anisotropic elliptic equations based on a micro-macro decomposition

Pierre Degond, Alexei Lozinski, Jacek Narski +1

The concern of the present work is the introduction of a very efficient Asymptotic Preserving scheme for the resolution of highly anisotropic diffusion equations. The characteristi…