Copertina

$L^2$ norm error estimates of BDF methods up to fifth-order for the phase field crystal model

Fuente: arXiv

Salvato in:

Dettagli Bibliografici
Autori principali:	Liao, Hong-lin, Kang, Yuanyuan
Natura:	Preprint
Pubblicazione:	2022
Soggetti:	Numerical Analysis 35Q99, 65M06, 65M12
Accesso online:	Acceder al recurso
Tags:	Aggiungi Tag Nessun Tag, puoi essere il primo ad aggiungerne!!

Documenti analoghi

Asymptotically compatible energy of variable-step fractional BDF2 formula for time-fractional Cahn-Hilliard model
di: Liao, Hong-lin, et al.
Pubblicazione: (2022)

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)

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

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

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)

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

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

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

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

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)

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

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)

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

Filtered Lie-Trotter splitting for the "good" Boussinesq equation: low regularity error estimates
di: Ji, Lun, et al.
Pubblicazione: (2024)

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

BDF2-type integrator for Landau-Lifshitz-Gilbert equation in micromagnetics: a-priori error estimates
di: Aldé, Michele, et al.
Pubblicazione: (2026)

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

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)

Low regularity full error estimates for the cubic nonlinear Schrödinger equation
di: Ji, Lun, et al.
Pubblicazione: (2023)

Low regularity error estimates for the time integration of 2D NLS
di: Ji, Lun, et al.
Pubblicazione: (2023)

Low regularity error estimates for high dimensional nonlinear Schrödinger equations
di: Ji, Lun, et al.
Pubblicazione: (2023)

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

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

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

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

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

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

A splitting higher order scheme with discrete transparent boundary conditions for the Schrödinger equation in a semi-infinite parallelepiped
di: Ducomet, Bernard, et al.
Pubblicazione: (2013)

Stable $C^1$-conforming finite element methods for a class of nonlinear fourth-order evolution equations
di: Soenjaya, Agus L., et al.
Pubblicazione: (2023)

On high-order/low-order and micro-macro methods for implicit time-stepping of the BGK model
di: Hauck, Cory, et al.
Pubblicazione: (2024)

Semi-implicit-explicit Runge-Kutta method for nonlinear differential equations
di: Ding, Lingyun
Pubblicazione: (2025)

Efficient bound preserving and asymptotic preserving semi-implicit schemes for the fast reaction-diffusion system
di: Zhao, Yu, et al.
Pubblicazione: (2024)

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)

Stability and error analysis of fully discrete original energy-dissipative and length-preserving scheme for the Landau-Lifshitz-Gilbert equation
di: Li, Binghong, et al.
Pubblicazione: (2026)

A second-order product-type implicit-explicit Runge-Kutta method preserving unit length and energy dissipation structures for gradient flows of vector fields
di: Li, Jianan, et al.
Pubblicazione: (2026)

On the Practical Impact of Local Linear Instabilities in Entropy-Stable Schemes
di: Bercik, Alex, et al.
Pubblicazione: (2026)

Convergence of a moving window method for the Schrödinger equation with potential on $\mathbb{R}^d$
di: Iserles, Arieh, et al.
Pubblicazione: (2024)

Optimal pressure approximation for the nonstationary Stokes problem by a variational method in time with post-processing
di: Anselmann, Mathias, et al.
Pubblicazione: (2025)

The splitting in potential Crank-Nicolson scheme with discrete transparent boundary conditions for the Schrödinger equation on a semi-infinite strip
di: Ducomet, Bernard, et al.
Pubblicazione: (2013)

Mixed finite element methods for the Landau--Lifshitz--Baryakhtar and the regularised Landau--Lifshitz--Bloch equations in micromagnetics
di: Soenjaya, Agus L.
Pubblicazione: (2024)