Lie-jun Xie

HJB-POD-Based Feedback Design for the Optimal Control of Evolution Problems

Karl Kunisch, Stefan Volkwein, Lie-jun Xie · SIAM Journal on Applied Dynamical Systems · 2004 · 149 citations

Numerical Analysis, Reduced Order Modeling, Engineering +17

POD-based feedback control of the burgers equation by solving the evolutionary HJB equation

Karl Kunisch, Lie-jun Xie · Computers & Mathematics with Applications · 2005 · 45 citations

Burgers Equation, Evolution Equation, Evolutionary Hjb Equation +2

An effective numerical method to solve a class of nonlinear singular boundary value problems using improved differential transform method

Lie-jun Xie, Cai-lian Zhou, Song Xu · SpringerPlus · 2016 · 37 citations · Full text

From theoretical guarantee to practical performance: selectable and optimal step-lengths for IHT and HTP algorithms in compressed sensing

Lie-jun Xie, Jin Wen · Computational and Applied Mathematics · 2024 · 16 citations

Solving the Systems of Equations of Lane-Emden Type by Differential Transform Method Coupled with Adomian Polynomials

Lie-jun Xie, Cai-lian Zhou, Song Xu · Mathematics · 2019 · 15 citations · Full text

Numerical Analysis, Convergent Series, Lane-emden Type +3