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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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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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04/01/2022
Convergence analysis of discrete high-index saddle dynamics
Saddle dynamics is a time continuous dynamics to efficiently compute the...
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03/22/2022
Analysis and Petrov-Galerkin numerical approximation for variable coefficient two-sided fractional diffusion, advection, reaction equations
In this paper we investigate the variable coefficient two-sided fraction...
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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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10/10/2021
Numerical approximation for a nonlinear variable-order fractional differential equation via an integral equation method
We study a numerical approximation for a nonlinear variable-order fracti...
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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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02/06/2020
Optimal Petrov-Galerkin spectral approximation method for the fractional diffusion, advection, reaction equation on a bounded interval
In this paper we investigate the numerical approximation of the fraction...
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07/05/2019