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Analysis of adaptive BDF2 scheme for diffusion equations

Mathematics of computation, 2021-05, Vol.90 (329), p.1207-1226

2021

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Simple maximum principle preserving time-stepping methods for time-fractional Allen-Cahn equation

Advances in computational mathematics, 2020-04, Vol.46 (2), Article 37

2020

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Energy dissipation laws of time filtered BDF methods up to fourth-order for the molecular beam epitaxial equation

Communications in nonlinear science & numerical simulation, 2024-07, Vol.134, p.108017, Article 108017

2024

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Analysis of the second-order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection

Science China. Mathematics, 2021-05, Vol.64 (5), p.887-902

2021

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A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems

SIAM journal on numerical analysis, 2019-01, Vol.57 (1), p.218-237

2019

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Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations

BIT, 2023-09, Vol.63 (3), Article 39

2023

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A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations

Journal of computational physics, 2020-08, Vol.414, p.109473, Article 109473

2020

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Positive definiteness of real quadratic forms resulting from the variable-step L1-type approximations of convolution operators

Science China. Mathematics, 2024-02, Vol.67 (2), p.237-252

2024

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Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations

Numerical methods for partial differential equations, 2010-01, Vol.26 (1), p.37-60

2010

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SHARP ERROR ESTIMATE OF THE NONUNIFORM L1 FORMULA FOR LINEAR REACTION-SUBDIFFUSION EQUATIONS

SIAM journal on numerical analysis, 2018-01, Vol.56 (2), p.1112-1133

2018

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On Energy Stable, Maximum-Principle Preserving, Second-Order BDF Scheme with Variable Steps for the Allen--Cahn Equation

SIAM journal on numerical analysis, 2020-01, Vol.58 (4), p.2294-2314

2020

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An Energy Stable and Maximum Bound Preserving Scheme with Variable Time Steps for Time Fractional Allen--Cahn Equation

SIAM journal on scientific computing, 2021-01, Vol.43 (5), p.A3503-A3526

2021

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Unconditional Convergence of a Fast Two-Level Linearized Algorithm for Semilinear Subdiffusion Equations

Journal of scientific computing, 2019-07, Vol.80 (1), p.1-25

2019

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An adaptive BDF2 implicit time-stepping method for the phase field crystal model

IMA journal of numerical analysis, 2022-01, Vol.42 (1), p.649-679

2022

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Discrete Gradient Structure of a Second-Order Variable-Step Method for Nonlinear Integro-Differential Models

SIAM journal on numerical analysis, 2023-10, Vol.61 (5), p.2157-2181

2023

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NMDARs mediate peripheral and central sensitization contributing to chronic orofacial pain

Frontiers in cellular neuroscience, 2022-09, Vol.16, p.999509-999509

2022

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Stability of Variable-Step BDF2 and BDF3 Methods

SIAM journal on numerical analysis, 2022-01, Vol.60 (4), p.2253-2272

2022

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Finite difference methods for the time fractional diffusion equation on non-uniform meshes

Journal of computational physics, 2014-05, Vol.265, p.195-210

2014

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Adaptive Second-Order Crank--Nicolson Time-Stepping Schemes for Time-Fractional Molecular Beam Epitaxial Growth Models

SIAM journal on scientific computing, 2020-01, Vol.42 (3), p.B738-B760

2020

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Energy Stability of BDF Methods up to Fifth-Order for the Molecular Beam Epitaxial Model Without Slope Selection

Journal of scientific computing, 2022-05, Vol.91 (2), p.47, Article 47

2022

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An energy stable linear BDF2 scheme with variable time-steps for the molecular beam epitaxial model without slope selection

Communications in nonlinear science & numerical simulation, 2023-04, Vol.118, p.107047, Article 107047

2023

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High-order energy stable variable-step schemes for the time-fractional Cahn–Hilliard model

Mathematics and computers in simulation, 2024-09, Vol.223, p.171-182

2024

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Asymptotically Compatible Energy and Dissipation Law of the Nonuniform L2-1σ Scheme for Time Fractional Allen–Cahn Model

Journal of scientific computing, 2024-05, Vol.99 (2), p.46

2024

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A Unified L2 Norm Error Analysis of SAV-BDF Schemes for the Incompressible Navier–Stokes Equations

Journal of scientific computing, 2024-07, Vol.100 (1), p.5

2024

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A second-order fast compact scheme with unequal time-steps for subdiffusion problems

Numerical algorithms, 2021-03, Vol.86 (3), p.1011-1039

2021

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Analysis of adaptive BDF2 scheme for diffusion equations

Simple maximum principle preserving time-stepping methods for time-fractional Allen-Cahn equation

Energy dissipation laws of time filtered BDF methods up to fourth-order for the molecular beam epitaxial equation

Analysis of the second-order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection

A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems

Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations

A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations

Positive definiteness of real quadratic forms resulting from the variable-step L1-type approximations of convolution operators

Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations

SHARP ERROR ESTIMATE OF THE NONUNIFORM L1 FORMULA FOR LINEAR REACTION-SUBDIFFUSION EQUATIONS

On Energy Stable, Maximum-Principle Preserving, Second-Order BDF Scheme with Variable Steps for the Allen--Cahn Equation

An Energy Stable and Maximum Bound Preserving Scheme with Variable Time Steps for Time Fractional Allen--Cahn Equation

Unconditional Convergence of a Fast Two-Level Linearized Algorithm for Semilinear Subdiffusion Equations

An adaptive BDF2 implicit time-stepping method for the phase field crystal model

Discrete Gradient Structure of a Second-Order Variable-Step Method for Nonlinear Integro-Differential Models

NMDARs mediate peripheral and central sensitization contributing to chronic orofacial pain

Stability of Variable-Step BDF2 and BDF3 Methods

Finite difference methods for the time fractional diffusion equation on non-uniform meshes

Adaptive Second-Order Crank--Nicolson Time-Stepping Schemes for Time-Fractional Molecular Beam Epitaxial Growth Models

Energy Stability of BDF Methods up to Fifth-Order for the Molecular Beam Epitaxial Model Without Slope Selection

An energy stable linear BDF2 scheme with variable time-steps for the molecular beam epitaxial model without slope selection

High-order energy stable variable-step schemes for the time-fractional Cahn–Hilliard model

Asymptotically Compatible Energy and Dissipation Law of the Nonuniform L2-1σ Scheme for Time Fractional Allen–Cahn Model

A Unified L2 Norm Error Analysis of SAV-BDF Schemes for the Incompressible Navier–Stokes Equations

A second-order fast compact scheme with unequal time-steps for subdiffusion problems

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