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Qiang Du

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Numerical Discretization of Variational Phase Field Model for Phase Transitions in Ferroelectric Thin Films

Journal Article

Numerical Discretization of Variational Phase Field Model for Phase Transitions in Ferroelectric Thin Films

Communications in Computational Physics, Vol. 29 (2021), Iss. 3 : pp. 729–746

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A Distributed Optimal Control Problem with Averaged Stochastic Gradient Descent

Journal Article

A Distributed Optimal Control Problem with Averaged Stochastic Gradient Descent

Communications in Computational Physics, Vol. 27 (2020), Iss. 3 : pp. 753–774

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Nonlocal Wave Propagation in Unbounded Multi-Scale Media

Journal Article

Nonlocal Wave Propagation in Unbounded Multi-Scale Media

Communications in Computational Physics, Vol. 24 (2018), Iss. 4 : pp. 1049–1072

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Artificial Boundary Conditions for Nonlocal Heat Equations on Unbounded Domain

Journal Article

Artificial Boundary Conditions for Nonlocal Heat Equations on Unbounded Domain

Communications in Computational Physics, Vol. 21 (2017), Iss. 1 : pp. 16–39

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Finding Critical Nuclei in Phase Transformations by Shrinking Dimer Dynamics and Its Variants

Journal Article

Finding Critical Nuclei in Phase Transformations by Shrinking Dimer Dynamics and Its Variants

Communications in Computational Physics, Vol. 16 (2014), Iss. 3 : pp. 781–798

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Retrieving Topological Information of Implicitly Represented Diffuse Interfaces with Adaptive Finite Element Discretization

Journal Article

Retrieving Topological Information of Implicitly Represented Diffuse Interfaces with Adaptive Finite Element Discretization

Communications in Computational Physics, Vol. 13 (2013), Iss. 5 : pp. 1209–1226

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Convergent Adaptive Finite Element Method Based on Centroidal Voronoi Tessellations and Superconvergence

Journal Article

Convergent Adaptive Finite Element Method Based on Centroidal Voronoi Tessellations and Superconvergence

Communications in Computational Physics, Vol. 10 (2011), Iss. 2 : pp. 339–370

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Simultaneous Prediction of Morphologies of a Critical Nucleus and an Equilibrium Precipitate in Solids

Journal Article

Simultaneous Prediction of Morphologies of a Critical Nucleus and an Equilibrium Precipitate in Solids

Communications in Computational Physics, Vol. 7 (2010), Iss. 4 : pp. 674–682

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Analysis of Coarse-Grained Lattice Models and Connections to Nonlocal Interactions

Journal Article

Analysis of Coarse-Grained Lattice Models and Connections to Nonlocal Interactions

CSIAM Transactions on Applied Mathematics, Vol. 1 (2020), Iss. 1 : pp. 155–185

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Nonlocal-in-Time Dynamics and Crossover of Diffusive Regimes

Journal Article

Nonlocal-in-Time Dynamics and Crossover of Diffusive Regimes

International Journal of Numerical Analysis and Modeling, Vol. 20 (2023), Iss. 3 : pp. 353–370

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Uniform $L^p$-Bound of the Allen-Cahn Equation and Its Numerical Discretization

Journal Article

Uniform Lp-Bound of the Allen-Cahn Equation and Its Numerical Discretization

International Journal of Numerical Analysis and Modeling, Vol. 15 (2018), Iss. 1-2 : pp. 213–227

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Deep ReLU Networks Overcome the Curse of Dimensionality for Generalized Bandlimited Functions

Journal Article

Deep ReLU Networks Overcome the Curse of Dimensionality for Generalized Bandlimited Functions

Journal of Computational Mathematics, Vol. 39 (2021), Iss. 6 : pp. 801–815

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