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Improved Analysis of PINNs: Alleviate the CoD for Compositional Solutions

Journal Article

Improved Analysis of PINNs: Alleviate the CoD for Compositional Solutions

Annals of Applied Mathematics, Vol. 39 (2023), Iss. 3 : pp. 239–263

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Analysis of Moving Mesh Methods Based on Geometrical Variables

Journal Article

Analysis of Moving Mesh Methods Based on Geometrical Variables

Journal of Computational Mathematics, Vol. 19 (2001), Iss. 1 : pp. 41–54

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An Adaptive Method Based on Local Dynamic Mode Decomposition for Parametric Dynamical Systems

Journal Article

An Adaptive Method Based on Local Dynamic Mode Decomposition for Parametric Dynamical Systems

Communications in Computational Physics, Vol. 35 (2024), Iss. 1 : pp. 38–69

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Error Analysis of a Pressure Penalty Scheme for the Reformulated Ericksen-Leslie System with Variable Density

Journal Article

Error Analysis of a Pressure Penalty Scheme for the Reformulated Ericksen-Leslie System with Variable Density

Advances in Applied Mathematics and Mechanics, Vol. 16 (2024), Iss. 4 : pp. 952–979

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Probabilistic Error Estimate for Numerical Discretization of High-Index Saddle Dynamics with Inaccurate Models

Journal Article

Probabilistic Error Estimate for Numerical Discretization of High-Index Saddle Dynamics with Inaccurate Models

Annals of Applied Mathematics, Vol. 40 (2024), Iss. 1 : pp. 1–20

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Improved Analysis of PINNs: Alleviate the CoD for Compositional Solutions

Journal Article

Improved Analysis of PINNs: Alleviate the CoD for Compositional Solutions

Annals of Applied Mathematics, Vol. 39 (2023), Iss. 3 : pp. 239–263

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A Data-Driven Random Subfeature Ensemble Learning Algorithm for Weather Forecasting

Journal Article

A Data-Driven Random Subfeature Ensemble Learning Algorithm for Weather Forecasting

Communications in Computational Physics, Vol. 28 (2020), Iss. 4 : pp. 1305–1320

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A QMC-Deep Learning Method for Diffusivity Estimation in Random Domains

Journal Article

A QMC-Deep Learning Method for Diffusivity Estimation in Random Domains

Numerical Mathematics: Theory, Methods and Applications, Vol. 13 (2020), Iss. 4 : pp. 908–927

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A New Ensemble HDG Method for Parameterized Convection Diffusion PDEs

Journal Article

A New Ensemble HDG Method for Parameterized Convection Diffusion PDEs

Numerical Mathematics: Theory, Methods and Applications, Vol. 14 (2021), Iss. 1 : pp. 144–175

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Energy Stable Finite Element/Spectral Method for Modified Higher-Order Generalized Cahn-Hilliard Equations

Journal Article

Energy Stable Finite Element/Spectral Method for Modified Higher-Order Generalized Cahn-Hilliard Equations

Journal of Mathematical Study, Vol. 51 (2018), Iss. 3 : pp. 253–293

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A Sharp Estimate of a Simplified Viscosity Splitting Scheme

Journal Article

A Sharp Estimate of a Simplified Viscosity Splitting Scheme

Journal of Computational Mathematics, Vol. 11 (1993), Iss. 3 : pp. 205–210

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A Family of Viscosity Splitting Scheme for the Navier-Stokes Equations

Journal Article

A Family of Viscosity Splitting Scheme for the Navier-Stokes Equations

Journal of Computational Mathematics, Vol. 11 (1993), Iss. 1 : pp. 20–36

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