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Creators/Authors contains: "Yuan, Yaping"

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  1. ; (, SIAM/ASA Journal on Uncertainty Quantification)
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  2. ; ; ; ; ; (, Plant, Cell & Environment)
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  3. ; (, Journal of Dynamics and Differential Equations)
    This paper studies computational methods for quasi-stationary distributions (QSDs). We first proposed a data-driven solver that solves Fokker–Planck equations for QSDs. Similar to the case of Fokker–Planck equations for invariant probability measures, we set up an optimization problem that minimizes the distance from a low-accuracy reference solution, under the constraint of satisfying the linear relation given by the discretized Fokker–Planck operator. Then we use coupling method to study the sensitivity of a QSD against either the change of boundary condition or the diffusion coefficient. The 1-Wasserstein distance between a QSD and the corresponding invariant probability measure can be quantitatively estimated. Some numerical results about both computation of QSDs and their sensitivity analysis are provided. 
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  4. ; ; ; ; ; ; ; (, iScience)
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