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07/26/2023
The stabilized exponential-SAV approach preserving maximum bound principle for nonlocal Allen-Cahn equation
The nonlocal Allen-Cahn equation with nonlocal diffusion operator is a g...
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07/26/2023
The high-order exponential semi-implicit scalar auxiliary variable approach for nonlocal Cahn-Hilliard equation
The nonlocal Cahn-Hilliard (NCH) equation with nonlocal diffusion operat...
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04/22/2023
A novel energy-optimal scalar auxiliary variable (EOP-SAV) approach for gradient flows
In recent years, the scalar auxiliary variable (SAV) approach has become...
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10/06/2022
A novel Lagrange Multiplier approach with relaxation for gradient flows
In this paper, we propose a novel Lagrange Multiplier approach, named ze...
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04/13/2022
Highly efficient exponential scalar auxiliary variable approaches with relaxation (RE-SAV) for gradient flows
For the past few years, scalar auxiliary variable (SAV) and SAV-type app...
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10/19/2020
A highly efficient and accurate exponential semi-implicit scalar auxiliary variable (ESI-SAV) approach for dissipative system
The scalar auxiliary variable (SAV) approach is a very popular and effic...
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02/21/2020
New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis
We construct new first- and second-order pressure correction schemes usi...
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12/29/2019
Step-by-step solving schemes based on scalar auxiliary variable and invariant energy quadratization approaches for gradient flows
In this paper, we propose several novel numerical techniques to deal wit...
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12/18/2019
The exponential scalar auxiliary variable (E-SAV) approach for phase field models and its explicit computing
In this paper, we consider an exponential scalar auxiliary variable (E-S...
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07/01/2019
Energy stable schemes for gradient flows based on novel auxiliary variable with energy bounded above
In this paper, we consider a novel auxiliary variable method to obtain e...
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07/01/2019