6 papers
Sampling recovery in Bochner spaces and applications to parametric PDEs
Felix Bartel, Dinh DÅ©ng
We prove convergence rates of linear sampling recovery of functions in abstract Bochner spaces satisfying weighted summability of their generalized polynomial chaos expansion coeff…
Simultaneous spatial-parametric collocation approximation for parametric PDEs with log-normal random inputs
Dinh DÅ©ng, Dinh Dũng
We establish convergence rates for a fully discrete, multi-level, linear collocation method solving parametric elliptic PDEs on bounded polygonal domains with log-normal inputs. Th…
Weighted approximate sampling recovery and integration based on B-spline interpolation and quasi-interpolation
Dinh DÅ©ng
We propose novel methods for approximate sampling recovery and integration of functions in the Freud-weighted Sobolev space . The approximation error of samp…
Laguerre- and Laplace-weighted integration of mixed-smoothness functions
Dinh DÅ©ng
We investigate the approximation of generalized Laguerre- or Laplace-weighted integrals over or of functions from generalized Laguerre- or Laplace-w…
Weighted sampling recovery of functions with mixed smoothness
Dinh DÅ©ng
We studied linear weighted sampling algorithms and their optimality for approximate recovery of functions with mixed smoothness on from a set of their sampled va…
Weighted hyperbolic cross polynomial approximation
Dinh DÅ©ng
We study linear polynomial approximation of functions in weighted Sobolev spaces of mixed smoothness , and their optimality in terms of…