Cover Image

Asymptotically compatible energy of variable-step fractional BDF2 formula for time-fractional Cahn-Hilliard model

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Liao, Hong-lin, Liu, Nan, Zhao, Xuan
Format:	Preprint
Published:	2022
Subjects:	Numerical Analysis 35Q99, 65M06, 65M12, 74A50
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

$L^2$ norm error estimates of BDF methods up to fifth-order for the phase field crystal model
by: Liao, Hong-lin, et al.
Published: (2022)

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

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

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

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

Dynamic-stabilization-based linear schemes for the Allen-Cahn equation with degenerate mobility: MBP and energy stability
by: Fu, Hongfei, et al.
Published: (2025)

New highly efficient and accurate numerical scheme for the Cahn-Hilliard-Brinkman system
by: Chen, Dawei, et al.
Published: (2025)

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

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

Average energy dissipation rates of explicit exponential Runge-Kutta methods for gradient flow problems
by: Liao, Hong-lin, et al.
Published: (2024)

Energy-superconvergent Explicit Runge--Kutta Time Discretizations
by: Liu, Jinjie, et al.
Published: (2024)

Stability and error estimates of a linear and partitioned finite element method approximating nonlinear fluid-structure interactions
by: She, Bangwei, et al.
Published: (2026)

Average energy dissipation rates of additive implicit-explicit Runge-Kutta methods for gradient flow problems
by: Liao, Hong-lin, et al.
Published: (2024)

Original energy dissipation preserving corrections of integrating factor Runge-Kutta methods for gradient flow problems
by: Liao, Hong-lin, et al.
Published: (2024)

Stability and Robustness of Time-discretization Schemes for the Allen-Cahn Equation via Bifurcation and Perturbation Analysis
by: Hao, Wenrui, et al.
Published: (2024)

Edge-based discretizations on triangulations in $\mathbb{R}^d$, with special attention to four-dimensional space
by: Tufillaro, Nicholas, et al.
Published: (2024)

A Numerov-Crank-Nicolson-Strang scheme with discrete transparent boundary conditions for the Schrödinger equation on a semi-infinite strip
by: Zlotnik, Alexander, et al.
Published: (2013)

An exponential-free Runge--Kutta framework for developing third-order unconditionally energy stable schemes for the Cahn--Hilliard equation
by: Wang, Haifeng, et al.
Published: (2024)

Convergence of a finite volume method to weak solutions for the compressible Navier-Stokes-Fourier system
by: Feireisl, Eduard, et al.
Published: (2026)

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

Convergence analysis for a finite-volume scheme for the Euler- and Navier-Stokes-Korteweg system via energy-variational solutions
by: Eiter, Thomas, et al.
Published: (2026)

Convergence of a Finite Volume Scheme for the Navier-Stokes-Korteweg Model via Dissipative Solutions
by: Giesselmann, Jan, et al.
Published: (2026)

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows
by: Agnihotri, Jaya, et al.
Published: (2026)

A separable and asymptotic-preserving dynamical low-rank method for the Vlasov-Poisson-Fokker-Planck system
by: Zhang, Shiheng, et al.
Published: (2026)

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

Asymptotic preserving finite volume method for the compressible Euler equations: analysis via dissipative measure-valued solutions
by: Arun, K. R., et al.
Published: (2024)

Error estimates of linear decoupled structure-preserving incremental viscosity splitting methods for the Cahn--Hilliard--Navier--Stokes system
by: Kuang, Baolin, et al.
Published: (2025)

A decoupled, stable, and second-order integrator for the Landau--Lifshitz--Gilbert equation with magnetoelastic effects
by: Kružík, Martin, et al.
Published: (2025)

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

A decoupled, convergent and fully linear algorithm for the Landau--Lifshitz--Gilbert equation with magnetoelastic effects
by: Normington, Hywel, et al.
Published: (2023)

A Parametric Finite Element Approach for an Anisotropic Multi-Phase Mullins-Sekerka Problem with Kinetic Undercooling
by: Eto, Tokuhiro, et al.
Published: (2026)

An explicit computational approach for a three-dimensional system of nonlinear elastodynamic sine-Gordon problem
by: Ngondiep, Eric
Published: (2025)

A combined Lax-Wendroff/interpolation approach with finite element method for a three-dimensional system of tectonic deformation model: application to landslides in Cameroon
by: Ngondiep, Eric
Published: (2025)

A numerical view on α-dissipative solutions of the Hunter-Saxton equation
by: Christiansen, Thomas, et al.
Published: (2024)

A Convergent Numerical Algorithm for $α$-Dissipative Solutions of the Hunter-Saxton Equation
by: Christiansen, Thomas, et al.
Published: (2023)

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

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

Structure-preserving scheme for 1D KWC system
by: Okumura, Makoto, et al.
Published: (2025)

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