Hanoi National University of Education

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20032024

most citedRecommended isolated-line profile for representing high-resolution spectroscopic transitions (IUPAC Technical Report)

300 citations

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6 papers · 1 filter

math.NA2015★ 3 cited

Linear collective collocation and Galerkin approximations for parametric and stochastic elliptic PDEs

Dinh Dũng

Consider the parametric elliptic problem \begin{equation} - \operatorname{dv} \big(a(y)(x)\nabla u(y)(x)\big) \ = \ f(x) \quad x \in D, \ y \in [-1,1]^\infty, \quad u|_{\partial D}…

math.NA2015★ 3 cited

High-dimensional periodic sampling on Smolyak grids based on B-spline quasi-interpolation

Dinh Dũng

We constructed linear algorithms of sampling recovery and cubature formulas on Smolyak grids parametrized by $m \in N$ of periodic $d$ -variate functions having Lipschitz-H…

math.NA2015★ 1 cited

Hyperbolic cross approximation in infinite dimensions

Dinh Dũng, Michael Griebel

We give tight upper and lower bounds of the cardinality of the index sets of certain hyperbolic crosses which reflect mixed Sobolev-Korobov-type smoothness and mixed Sobolev-analyt…

math.NA2012★ 4 cited

Sampling and cubature on sparse grids based on a B-spline quasi-interpolation

Dinh Dũng

Let $X_{n} = {x^{j}}_{j = 1}^{n}$ be a set of $n$ points in the $d$ -cube $[0, 1]^{d}$ , and $Φ_{n} = {φ_{j}}_{j = 1}^{n}$ a family of $n$ functions on $[0, 1]^{d}$ . We consider the approximate recov…

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★ 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…