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09/18/2022
A fast two-level Strang splitting method for multi-dimensional spatial fractional Allen-Cahn equations with discrete maximum principle
In this paper, we study the numerical solutions of the multi-dimensional...
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08/13/2021
Robust fast method for variable-order time-fractional diffusion equations without regularity assumptions
In this paper, we develop a robust fast method for mobile-immobile varia...
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02/23/2021
A preconditioner based on sine transform for two-dimensional Riesz space factional diffusion equations in convex domains
In this paper, we develop a fast numerical method for solving the time-d...
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02/05/2021
Fast second-order evaluation for variable-order Caputo fractional derivative with applications to fractional sub-diffusion equations
In this paper, we propose a fast second-order approximation to the varia...
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02/02/2021
Spectral analysis for preconditioning of multi-dimensional Riesz fractional diffusion equations
In this paper, we analyze the spectra of the preconditioned matrices ari...
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01/20/2021
Exponential-sum-approximation technique for variable-order time-fractional diffusion equations
In this paper, we study the variable-order (VO) time-fractional diffusio...
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02/27/2020