6 citations · 29 across the 34 of their papers we have counts for
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math.NA2018★ 6 cited
A reduced basis method for the nonlinear Poisson-Boltzmann equation
Lijie Ji, Yanlai Chen, Zhenli Xu
In numerical simulations of many charged systems at the micro/nano scale, a common theme is the repeated solution of the Poisson-Boltzmann equation. This task proves challenging, i…
math.NA2018★ 3 cited
Certified reduced basis methods for fractional Laplace equations via extension
Harbir Antil, Yanlai Chen, Akil Narayan
Fractional Laplace equations are becoming important tools for mathematical modeling and prediction. Recent years have shown much progress in developing accurate and robust algorith…
math.NA2018★ 3 cited
Reduced-basis method for the iterative solution of parametrized symmetric positive-definite linear systems
Ngoc-Cuong Nguyen, Yanlai Chen
We present a class of reduced basis (RB) methods for the iterative solution of parametrized symmetric positive-definite (SPD) linear systems. The essential ingredients are a Galerk…