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09/18/2023
Latent assimilation with implicit neural representations for unknown dynamics
Data assimilation is crucial in a wide range of applications, but it oft...
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12/29/2022
A model-free shrinking-dimer saddle dynamics for finding saddle point and solution landscape
We propose a model-free shrinking-dimer saddle dynamics for finding any-...
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10/10/2022
Numerical Analysis of Computing Quasiperiodic Systems
Quasiperiodic systems, related to irrational numbers, are important spac...
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07/20/2022
Mathematical and numerical analysis to shrinking-dimer saddle dynamics with local Lipschitz conditions
We present a mathematical and numerical investigation to the shrinkingdi...
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06/21/2022
Discretization and index-robust error analysis for constrained high-index saddle dynamics on high-dimensional sphere
We develop and analyze numerical discretization to the constrained high-...
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11/09/2021
Optimal-order error estimates for Euler discretization of high-index saddle dynamics
High-index saddle dynamics provides an effective means to compute the an...
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08/06/2021
Computing solution landscape of nonlinear space-fractional problems via fast approximation algorithm
The nonlinear space-fractional problems often allow multiple stationary ...
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04/20/2021
Solution landscape of Onsager functional identifies non-axisymmetric critical points
We investigate the solution landscapes of the Onsager free-energy functi...
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04/06/2021
Modeling and Computation of Liquid Crystals
Liquid crystal is a typical kind of soft matter that is intermediate bet...
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04/02/2020