15 citations · 139 across the 32 of their papers we have counts for
4 papers · 1 filter
Some New Convergence Analysis and Applications of POD-Greedy Algorithms
Yuwen Li, Yupeng Wang
In this article, we derive a novel convergence estimate for the weak POD-Greedy method with multiple POD modes and variable greedy thresholds in terms of the entropy numbers of the…
A new rational approximation algorithm via the empirical interpolation method
Aidi Li, Yuwen Li
We present a new rational approximation algorithm based on the empirical interpolation method for interpolating a family of parametrized functions to rational polynomials with inva…
Reduced Krylov Basis Methods for Parametric Partial Differential Equations
Yuwen Li, Ludmil T. Zikatanov, Cheng Zuo
This work is on a user-friendly reduced basis method for solving a family of parametric PDEs by preconditioned Krylov subspace methods including the conjugate gradient method, gene…
A new analysis of empirical interpolation methods and Chebyshev greedy algorithms
Yuwen Li
We present new convergence estimates of generalized empirical interpolation methods in terms of the entropy numbers of the parametrized function class. Our analysis is transparent…