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12/16/2022
Roundoff error problem in L2-type methods for time-fractional problems
Roundoff error problems have occurred frequently in interpolation method...
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12/01/2022
Long time H^1-stability of fast L2-1_σ method on general nonuniform meshes for subdiffusion equations
In this work, the global-in-time H^1-stability of a fast L2-1_σ method o...
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08/02/2022
On stability and convergence of L2-1_σ method on general nonuniform meshes for subdiffusion equation
In this work the L2-1_σ method on general nonuniform meshes is studied f...
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05/12/2022
H^1-stability of an L2-type method on general nonuniform meshes for subdiffusion equation
In this work the H^1-stability of an L2 method on general nonuniform mes...
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04/17/2022
On an interior-exterior nonoverlapping domain decomposition method for the Poisson–Boltzmann equation
A nonoverlapping domain decomposition method is studied for the lineariz...
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03/01/2022
Computation of forces arising from the linear Poisson–Boltzmann method in the domain-decomposition paradigm
The Linearized Poisson–Boltzmann (LPB) equation is a popular and widely ...
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02/24/2022
A decreasing upper bound of energy for time-fractional phase-field equations
In this article, we study the energy dissipation property of time-fracti...
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11/09/2021
An F-modulated stability framework for multistep methods
We introduce a new 𝐅-modulated energy stability framework for general li...
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08/25/2021
Energy stability of Strang splitting for vector-valued and matrix-valued Allen-Cahn equations
We consider the second-order in time Strang-splitting approximation for ...
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08/19/2021
Energy Stable L2 Schemes for Time-Fractional Phase-Field Equations
In this article, the energy stability of two high-order L2 schemes for t...
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08/11/2021
Energy dissipation of Strang splitting for Allen–Cahn
We consider a class of second-order Strang splitting methods for Allen-C...
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07/15/2021
Negative time splitting is stable
For high order (than two) in time operator-splitting methods applied to ...
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07/12/2021
On the energy stability of Strang-splitting for Cahn-Hilliard
We consider a Strang-type second order operator-splitting discretization...
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07/03/2021
The operator-splitting method for Cahn-Hilliard is stable
We prove energy stability of a standard operator-splitting method for th...
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06/30/2021
On a sinc-type MBE model
We introduce a new sinc-type molecular beam epitaxy model which is deriv...
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06/21/2021
Energy-dissipation for time-fractional phase-field equations
We consider a class of time-fractional phase field models including the ...
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06/16/2021
Sharp convergence to steady states of Allen-Cahn
In our recent work we found a surprising breakdown of symmetry conservat...
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06/15/2021
The BDF3/EP3 scheme for MBE with no slope selection is stable
We consider the classical molecular beam epitaxy (MBE) model with logari...
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06/12/2021
On a parabolic sine-Gordon model
We consider a parabolic sine-Gordon model with periodic boundary conditi...
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09/14/2020