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Compatible L <sup>2</sup> Norm Convergence of Variable-Step L1 Scheme for the Time-Fractional MBE Mobel with Slope Selection

https://doi.org/10.2139/ssrn.3958854
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Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.

7 without a DOI — not checked. A reference deposited without a DOI is never matched by title or guessed at; it stays outside the checked set, and this line discloses that.

The 26 checked references that resolve
resolves10.1134/S0012266110050058
A priori estimates for solutions of boundary value problems for fractional-order equations
resolves10.1137/16M1075302
Analysis and Approximation of a Fractional Cahn--Hilliard Equation
resolves10.1007/s10915-011-9559-2
A Linear Energy Stable Scheme for a Thin Film Model Without Slope Selection
resolves10.1016/j.cpc.2019.07.008
An accurate and efficient algorithm for the time-fractional molecular beam epitaxy model with slope selection
resolves10.1093/imanum/draa015
Blow-up of error estimates in time-fractional initial-boundary value problems
resolves10.1557/PROC-529-39
Unconditionally Gradient Stable Time Marching the Cahn-Hilliard Equation
resolves10.1002/num.22271
A second‐order energy stable backward differentiation formula method for the epitaxial thin film equation with slope selection
resolves10.1016/j.aml.2019.02.002
Energy-stable Runge–Kutta schemes for gradient flow models using the energy quadratization approach
resolves10.1137/19M1259675
Adaptive Second-Order Crank--Nicolson Time-Stepping Schemes for Time-Fractional Molecular Beam Epitaxial Growth Models
resolves10.1137/16M1089320
Numerical Analysis of Nonlinear Subdiffusion Equations
resolves10.1002/cpa.10103
Upper bound on the coarsening rate for an epitaxial growth model
resolves10.1137/16M1175742
A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems
resolves10.1007/s10915-019-00927-0
Unconditional Convergence of a Fast Two-Level Linearized Algorithm for Semilinear Subdiffusion Equations
resolves10.1090/mcom/3585
Analysis of adaptive BDF2 scheme for diffusion equations
resolves10.1137/20M1384105
An Energy Stable and Maximum Bound Preserving Scheme with Variable Time Steps for Time Fractional Allen--Cahn Equation
resolves10.1016/j.camwa.2019.08.008
Regularity theory for time-fractional advection–diffusion–reaction equations
resolves10.1103/PhysRevE.61.6190
Interfacial coarsening dynamics in epitaxial growth with slope selection
resolves10.3934/dcds.2010.28.1669
Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
resolves10.1016/j.jcp.2017.10.021
The scalar auxiliary variable (SAV) approach for gradient flows
resolves10.1137/17M1150153
A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
resolves10.1137/16M1082329
Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
resolves10.1137/18M1203560
On Energy Dissipation Theory and Numerical Stability for Time-Fractional Phase-Field Equations
resolves10.3934/dcds.2010.28.405
Unconditionally stable schemes for equations of thin film epitaxy
resolves10.1137/080738143
An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
resolves10.1137/050628143
Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models
resolves10.1016/j.cma.2018.09.017
On the stability and accuracy of partially and fully implicit schemes for phase field modeling
The 7 references without a DOI — listed, not checked
no DOI — not checkedThe time-fractional Cahn-Hilliard equation: analysis and approximation
no DOI — not checkedTime-fractional Allen-Cahn equations: analysis and numerical methods
no DOI — not checkedSimple maximum priciple preserving time-stepping methods for time-fractional Allen-Cahn equation
no DOI — not checkedAn adaptive BDF2 implicit time-stepping method for the phase field crystal model
no DOI — not checkedref18
no DOI — not checkedThe variable-step L1 time-stepping scheme preserving a compatible energy law for the time-fractional Allen-Cahn equation
no DOI — not checkedref25
What this badge says. CiteStamped means the CHECKABLE references of this work were clean at the dated check: each resolved to a known work in a public registry, and none carried a retraction notice at that time. It says nothing about the quality, findings, or importance of the work itself, and nothing about references deposited without a DOI.

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