Copertina

Dynamic-stabilization-based linear schemes for the Allen-Cahn equation with degenerate mobility: MBP and energy stability

Fuente: arXiv

Salvato in:

Dettagli Bibliografici
Autori principali:	Fu, Hongfei, Hou, Dianming, Qiao, Zhonghua, Zhang, Bingyin
Natura:	Preprint
Pubblicazione:	2025
Soggetti:	Numerical Analysis 35K55, 65M06, 65M12, 65M15, 65M50
Accesso online:	Acceder al recurso
Tags:	Aggiungi Tag Nessun Tag, puoi essere il primo ad aggiungerne!!

Documenti analoghi

High-order nonuniform time-stepping and MBP-preserving linear schemes for the time-fractional Allen-Cahn equation
di: Zhang, Bingyin, et al.
Pubblicazione: (2025)

A linear unconditionally structure-preserving L1 scheme for the time-fractional Allen-Cahn equation
di: Hou, Dianming, et al.
Pubblicazione: (2025)

An efficient two-grid fourth-order compact difference scheme with variable-step BDF2 method for the semilinear parabolic equation
di: Zhang, Bingyin, et al.
Pubblicazione: (2023)

Strang splitting structure-preserving high-order compact difference schemes for nonlinear convection diffusion equations
di: Kuang, Baolin, et al.
Pubblicazione: (2024)

Adaptive time-stepping and maximum-principle preserving Lagrangian schemes for gradient flows
di: Liu, Qianqian, et al.
Pubblicazione: (2025)

High-order exponential time differencing multi-resolution alternative finite difference WENO methods for nonlinear degenerate parabolic equations
di: Xu, Ziyao, et al.
Pubblicazione: (2024)

On the stability of the low-rank projector-splitting integrators for hyperbolic and parabolic equations
di: Zhang, Shiheng, et al.
Pubblicazione: (2025)

Long-time stability analysis of an explicit exponential Runge-Kutta scheme for Cahn-Hilliard equations
di: Guo, Jing
Pubblicazione: (2025)

Convergence analysis of Schwarz-like methods for degenerate elliptic-parabolic equations
di: Eisenmann, Monika, et al.
Pubblicazione: (2026)

Fractional-step High-order and Bound-preserving Method for Convection Diffusion Equations
di: Kuang, Baolin, et al.
Pubblicazione: (2024)

An Unconditionally Linearly Convergent ADMM Approach for the Allen-Cahn Equation with Flory-Huggins Potential
di: Jiang, Peng, et al.
Pubblicazione: (2026)

Domain-of-dependence-stabilized cut-cell discretizations of linear kinetic models with summation-by-parts properties
di: Petri, Louis, et al.
Pubblicazione: (2026)

A unified framework on the original energy laws of three effective classes of Runge-Kutta methods for phase field crystal type models
di: Wang, Xuping, et al.
Pubblicazione: (2024)

Asymptotically compatible energy and dissipation law of the nonuniform L2-$1_σ$ scheme for time fractional Allen-Cahn model
di: Liao, Hong-lin, et al.
Pubblicazione: (2023)

A "converse" stability condition is necessary for a compact higher order scheme on non-uniform meshes
di: Zlotnik, Alexander, et al.
Pubblicazione: (2017)

The Efficient Variable Time-stepping DLN Algorithms for the Allen-Cahn Model
di: Chen, YiMing, et al.
Pubblicazione: (2024)

A semi-generating function approach to the stability of implicit-explicit multistep methods for nonlinear parabolic equations
di: Liao, Hong-lin, et al.
Pubblicazione: (2026)

On the stability analysis of perfectly matched layer for the elastic wave equation in layered media
di: Duru, Kenneth, et al.
Pubblicazione: (2022)

On compact 4th order finite-difference schemes for the wave equation
di: Zlotnik, Alexander, et al.
Pubblicazione: (2020)

On properties of an explicit in time fourth-order vector compact scheme for the multidimensional wave equation
di: Zlotnik, Alexander
Pubblicazione: (2021)

Unconditionally optimal error estimate of a linearized variable-time-step BDF2 scheme for nonlinear parabolic equations
di: Zhao, Chengchao, et al.
Pubblicazione: (2022)

Optimal ${L^2}$ error estimates for 2D/3D incompressible Cahn--Hilliard--magnetohydrodynamic equations
di: Su, Haiyan, et al.
Pubblicazione: (2025)

Convergence analysis of a second order numerical scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes system
di: Chen, Wenbin, et al.
Pubblicazione: (2024)

On properties of a semi-explicit in time fourth-order vector compact scheme for the multidimensional acoustic wave equation
di: Zlotnik, Alexander, et al.
Pubblicazione: (2024)

High-order mass- and energy-conserving methods for the nonlinear Schrödinger equation and its hyperbolization
di: Ranocha, Hendrik, et al.
Pubblicazione: (2025)

Time-relaxation structure-preserving explicit low-regularity integrators for the nonlinear Schrödinger equation
di: Li, Hang, et al.
Pubblicazione: (2025)

A collocation scheme that is equivalent to discontinuous Galerkin discretizations
di: Hicken, Jason
Pubblicazione: (2026)

Maximum-Norm Error Estimates of Fourth-Order Compact and ADI Compact Finite Difference Methods for Nonlinear Coupled Bacterial Systems
di: Xu, Jie, et al.
Pubblicazione: (2024)

Compact finite-difference scheme for some Sobolev type equations with Dirichlet boundary conditions
di: Salian, Lavanya V, et al.
Pubblicazione: (2024)

Mesh-robust stability and convergence of variable-step deferred correction methods based on the BDF2 formula
di: Yue, Jiahe, et al.
Pubblicazione: (2024)

Unconditional energy dissipation of Strang splitting for the matrix-valued Allen-Cahn equation
di: Quan, Chaoyu, et al.
Pubblicazione: (2025)

On a family of finite-difference schemes with discrete transparent boundary conditions for a parabolic equation on the half-axis
di: Zlotnik, Alexander, et al.
Pubblicazione: (2012)

Convergence analysis of three semi-discrete numerical schemes for nonlocal geometric flows including perimeter terms
di: Wei, Jiang, et al.
Pubblicazione: (2024)

A compact higher-order finite-difference scheme for the wave equation can be strongly non-dissipative on non-uniform meshes
di: Zlotnik, Alexander, et al.
Pubblicazione: (2020)

High order Lagrange-Galerkin methods for the conservative formulation of the advection-diffusion equation
di: Bermejo, Rodolfo, et al.
Pubblicazione: (2024)

On the stability of IMEX BDF methods for DDEs and PDDEs
di: Tercero-Báez, Ana, et al.
Pubblicazione: (2024)

Discrete energy analysis of the third-order variable-step BDF time-stepping for diffusion equations
di: Liao, Hong-lin, et al.
Pubblicazione: (2022)

Stable and asymptotic preserving space-time discretizations of a linear kinetic transport equation in diffusive scaling
di: Gjesteland, Anita, et al.
Pubblicazione: (2026)

A class of refined implicit-explicit Runge-Kutta methods with robust time adaptability and unconditional convergence for the Cahn-Hilliard model
di: Liao, Hong-lin, et al.
Pubblicazione: (2024)

Entropy-split multidimensional summation-by-parts discretization of the Euler and compressible Navier-Stokes equations
di: Worku, Zelalem Arega, et al.
Pubblicazione: (2023)