Approximation theory and asymptotic methods form a foundational framework that bridges classical ideas with modern numerical analysis, enabling researchers to obtain practical, near‐optimal solutions ...
Dynamical low-rank approximation (DLRA) methods have emerged as a powerful numerical framework for addressing the challenges posed by high-dimensional problems. By restricting the evolution of a ...
In this talk we present few instances of multilevel approximation methods involving PDEs with random parameters and associated scalar output quantities of interest (QoI). Multilevel methods aim at ...
SIAM Journal on Numerical Analysis, Vol. 53, No. 2 (2015), pp. 852-873 (22 pages) We consider reproducing kernels K : Ω × Ω → ℝ in multiscale series expansion form, i.e., kernels of the form ...
This is a preview. Log in through your library . Abstract Practical use of Bayesian methods usually involves obtaining certain characteristics of the posterior distribution of the parameter of ...
Paper Approximation Methods for Determining Optimal Allocations in Response Adaptive Clinical Trials
Clinical trials have traditionally followed a fixed design, in which patient allocation to treatments is fixed throughout the trial and specified in the protocol. The primary goal of this static ...
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