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Hailiang Liu

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An Adaptive Gradient Method with Energy and Momentum

Journal Article

An Adaptive Gradient Method with Energy and Momentum

Annals of Applied Mathematics, Vol. 38 (2022), Iss. 2 : pp. 183–222

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Unconditional Positivity-Preserving and Energy Stable Schemes for a Reduced Poisson-Nernst-Planck System

Journal Article

Unconditional Positivity-Preserving and Energy Stable Schemes for a Reduced Poisson-Nernst-Planck System

Communications in Computational Physics, Vol. 27 (2020), Iss. 5 : pp. 1505–1529

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Mass- and Energy-Conserved Numerical Schemes for Nonlinear Schrödinger Equations

Journal Article

Mass- and Energy-Conserved Numerical Schemes for Nonlinear Schrödinger Equations

Communications in Computational Physics, Vol. 26 (2019), Iss. 5 : pp. 1365–1396

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