3 citations · 5 across the 6 of their papers we have counts for
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A new conservative discontinuous Galerkin method via implicit penalization for the generalized KdV equation
Yanlai Chen, Bo Dong, Rebecca Pereira
We design, analyze, and implement a new conservative Discontinuous Galerkin (DG) method for the simulation of solitary wave solutions to the generalized Korteweg-de Vries (KdV) Equ…
A micro-macro decomposed reduced basis method for the time-dependent radiative transfer equation
Zhichao Peng, Yanlai Chen, Yingda Cheng +1
Kinetic transport equations are notoriously difficult to simulate because of their complex multiscale behaviors and the need to numerically resolve a high dimensional probability d…
An EIM-degradation free reduced basis method via over collocation and residual hyper reduction-based error estimation
Yanlai Chen, Sigal Gottlieb, Lijie Ji +1
The need for multiple interactive, real-time simulations using different parameter values has driven the design of fast numerical algorithms with certifiable accuracies. The reduce…
L1-based reduced over collocation and hyper reduction for steady state and time-dependent nonlinear equations
Yanlai Chen, Lijie Ji, Akil Narayan +1
The task of repeatedly solving parametrized partial differential equations (pPDEs) in, e.g. optimization or interactive applications, makes it imperative to design highly efficient…
Adaptive greedy algorithms based on parameter-domain decomposition and reconstruction for the reduced basis method
Jiahua Jiang, Yanlai Chen
The reduced basis method (RBM) empowers repeated and rapid evaluation of parametrized partial differential equations through an offline-online decomposition, a.k.a. a learning-exec…
L1-ROC and R2-ROC: L1- and R2-based Reduced Over-Collocation methods for parametrized nonlinear partial differential equations
Yanlai Chen, Sigal Gottlieb, Lijie Ji +2
The onerous task of repeatedly resolving certain parametrized partial differential equations (pPDEs) in, e.g. the optimization context, makes it imperative to design vastly more ef…