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Discretization and index-robust error analysis for constrained high-index saddle dynamics on the high-dimensional sphere

Science China. Mathematics, 2023-10, Vol.66 (10), p.2347-2360

2023

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High-Index Optimization-Based Shrinking Dimer Method for Finding High-Index Saddle Points

SIAM journal on scientific computing, 2019-01, Vol.41 (6), p.A3576-A3595

2019

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Construction of a Pathway Map on a Complicated Energy Landscape

Physical review letters, 2020-03, Vol.124 (9), p.090601-090601, Article 090601

2020

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Solution landscape of a reduced Landau–de Gennes model on a hexagon

Nonlinearity, 2021-04, Vol.34 (4), p.2048-2069

2021

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

Communications in computational physics, 2024-01, Vol.35 (1), p.38-69

2024

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Mathematical and Numerical Analysis to Shrinking-Dimer Saddle Dynamics with Local Lipschitz Conditions

CSIAM Transactions on Applied Mathematics, 2023, Vol.4 (1), p.157-176

2023

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Error Estimate for Semi-implicit Method of Sphere-Constrained High-Index Saddle Dynamics

Chinese annals of mathematics. Serie B, 2023-09, Vol.44 (5), p.765-780

2023

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A Direct Numerical Simulation (DNS) Study on the Effect of Particle Configuration on Drag

Communications in computational physics, 2021-09, Vol.30 (3), p.799-819

2021

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A Deep Spatio-Temporal Forecasting Model for Multi-Site Weather Prediction Post-Processing

Communications in computational physics, 2022-01, Vol.31 (1), p.131-153

2022

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A model-free shrinking-dimer saddle dynamics for finding saddle point and solution landscape

Japan journal of industrial and applied mathematics, 2023, Vol.40 (3), p.1677-1693

2023

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Onsager-theory-based dynamic model for nematic phases of bent-core molecules and star molecules

Journal of non-Newtonian fluid mechanics, 2018-01, Vol.251, p.43-55

2018

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Calculating elastic constants of bent-core molecules from Onsager-theory-based tensor model

Liquid crystals, 2018-01, Vol.45 (1), p.22-31

2018

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A model-free shrinking-dimer saddle dynamics for finding saddle point and solution landscape

Japan journal of industrial and applied mathematics, 2023-09, Vol.40 (3), p.1677-1693

2023

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

Communications in computational physics, 2020-10, Vol.28 (4), p.1305-1320

2020

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Machine Learning-based Weather Support for the 2022 Winter Olympics

Advances in atmospheric sciences, 2020, Vol.37 (9), p.927-932

2020

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Nucleation of ordered phases in block copolymers

Physical review letters, 2010-04, Vol.104 (14), p.148301-148301, Article 148301

2010

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Detecting Particle Clusters in Particle-Fluid Systems by a Density Based Method

Communications in computational physics, 2019, Vol.26 (5), p.1617-1630

2019

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Rigid linear particles confined on a spherical surface: phase diagram of nematic defect states

The Journal of chemical physics, 2014-12, Vol.141 (24), p.244901-244901

2014

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A station-data-based model residual machine learning method for fine-grained meteorological grid prediction

Applied mathematics and mechanics, 2022-02, Vol.43 (2), p.155-166

English ed., 2022

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A Model Output Machine Learning Method for Grid Temperature Forecasts in the Beijing Area

Advances in atmospheric sciences, 2019-10, Vol.36 (10), p.1156-1170

2019

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A Strategy to Explore Stable and Metastable Ordered Phases of Block Copolymers

The journal of physical chemistry. B, 2013-05, Vol.117 (17), p.5296-5305

2013

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Improved freezing rain forecast using machine learning

Weather and climate extremes, 2024-06, Vol.44, p.100690, Article 100690

2024

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Shaping future low-carbon energy and transportation systems: Digital technologies and applications

iEnergy (Piscataway, N.J.), 2022-09, Vol.1 (3), p.285-305

2022

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Discontinuous Galerkin methods for dispersive and lossy Maxwell's equations and PML boundary conditions

Journal of computational physics, 2004-11, Vol.200 (2), p.549-580

2004

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Discontinuous galerkin time-domain method for GPR simulation in dispersive media

IEEE transactions on geoscience and remote sensing, 2005-01, Vol.43 (1), p.72-80

2005

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Discretization and index-robust error analysis for constrained high-index saddle dynamics on the high-dimensional sphere

High-Index Optimization-Based Shrinking Dimer Method for Finding High-Index Saddle Points

Construction of a Pathway Map on a Complicated Energy Landscape

Solution landscape of a reduced Landau–de Gennes model on a hexagon

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

Mathematical and Numerical Analysis to Shrinking-Dimer Saddle Dynamics with Local Lipschitz Conditions

Error Estimate for Semi-implicit Method of Sphere-Constrained High-Index Saddle Dynamics

A Direct Numerical Simulation (DNS) Study on the Effect of Particle Configuration on Drag

A Deep Spatio-Temporal Forecasting Model for Multi-Site Weather Prediction Post-Processing

A model-free shrinking-dimer saddle dynamics for finding saddle point and solution landscape

Onsager-theory-based dynamic model for nematic phases of bent-core molecules and star molecules

Calculating elastic constants of bent-core molecules from Onsager-theory-based tensor model

A model-free shrinking-dimer saddle dynamics for finding saddle point and solution landscape

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

Machine Learning-based Weather Support for the 2022 Winter Olympics

Nucleation of ordered phases in block copolymers

Detecting Particle Clusters in Particle-Fluid Systems by a Density Based Method

Rigid linear particles confined on a spherical surface: phase diagram of nematic defect states

A station-data-based model residual machine learning method for fine-grained meteorological grid prediction

A Model Output Machine Learning Method for Grid Temperature Forecasts in the Beijing Area

A Strategy to Explore Stable and Metastable Ordered Phases of Block Copolymers

Improved freezing rain forecast using machine learning

Shaping future low-carbon energy and transportation systems: Digital technologies and applications

Discontinuous Galerkin methods for dispersive and lossy Maxwell's equations and PML boundary conditions

Discontinuous galerkin time-domain method for GPR simulation in dispersive media

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