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08/17/2023
A low-rank algorithm for strongly damped wave equations with visco-elastic damping and mass terms
Damped wave equations have been used in many real-world fields. In this ...
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03/19/2023
A fast compact difference scheme with unequal time-steps for the tempered time-fractional Black-Scholes model
The Black-Scholes (B-S) equation has been recently extended as a kind of...
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10/28/2022
An adaptive low-rank splitting approach for the extended Fisher–Kolmogorov equation
The extended Fisher–Kolmogorov (EFK) equation has been used to describe ...
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09/14/2021
On the bilateral preconditioning for an L2-type all-at-once system arising from time-space fractional Bloch-Torrey equations
Time-space fractional Bloch-Torrey equations (TSFBTEs) are developed by ...
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11/04/2020
An efficient second-order energy stable BDF scheme for the space fractional Cahn-Hilliard equation
The space fractional Cahn-Hilliard phase-field model is more adequate an...
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10/11/2020
A low-rank Lie-Trotter splitting approach for nonlinear fractional complex Ginzburg-Landau equations
Fractional Ginzburg-Landau equations as the generalization of the classi...
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07/29/2020
A parallel preconditioning technique for an all-at-once system from subdiffusion equations with variable time steps
Volterra subdiffusion problems with weakly singular kernel describe the ...
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05/18/2020
Fast second-order implicit difference schemes for time distributed-order and Riesz space fractional diffusion-wave equations
In this paper, fast numerical methods are established for solving a clas...
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03/16/2020
A note on parallel preconditioning for the all-at-once solution of Riesz fractional diffusion equations
The p-step backwards difference formula (BDF) for solving the system of ...
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02/27/2020
Fast implicit difference schemes for time-space fractional diffusion equations with the integral fractional Laplacian
In this paper, we develop two fast implicit difference schemes for solvi...
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09/16/2019