Copertina

A class of refined implicit-explicit Runge-Kutta methods with robust time adaptability and unconditional convergence for the Cahn-Hilliard model

Fuente: arXiv

Salvato in:

Dettagli Bibliografici
Autori principali:	Liao, Hong-lin, Tang, Tao, Wang, Xuping, Zhou, Tao
Natura:	Preprint
Pubblicazione:	2024
Soggetti:	Numerical Analysis 35K58, 65L20, 65M06, 65M12
Accesso online:	Acceder al recurso
Tags:	Aggiungi Tag Nessun Tag, puoi essere il primo ad aggiungerne!!

Documenti analoghi

Average energy dissipation rates of additive implicit-explicit Runge-Kutta methods for gradient flow problems
di: Liao, Hong-lin, 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)

Original energy dissipation preserving corrections of integrating factor Runge-Kutta methods for gradient flow problems
di: Liao, Hong-lin, 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)

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

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)

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)

Long-time stability of implicit-explicit Runge-Kutta methods for two-dimensional incompressible flows
di: Liao, Hong-lin, et al.
Pubblicazione: (2026)

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

Mesh-robust stability and convergence of variable-step deferred correction methods based on the BDF2 formula
di: Yue, Jiahe, 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)

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

The Runge--Kutta discontinuous Galerkin method with compact stencils for hyperbolic conservation laws
di: Chen, Qifan, et al.
Pubblicazione: (2023)

Performance evaluation of mixed-precision Runge-Kutta methods for the solution of partial differential equations
di: Dravins, Ivo, et al.
Pubblicazione: (2024)

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

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

The Runge--Kutta discontinuous Galerkin method with stage-dependent polynomial spaces for hyperbolic conservation laws
di: Chen, Qifan, et al.
Pubblicazione: (2024)

Extending Irksome: improvements in automated Runge--Kutta time stepping for finite element methods
di: Kirby, Robert C., et al.
Pubblicazione: (2024)

A fully discrete evolving surface finite element method for the Cahn-Hilliard equation with a regular potential
di: Elliott, Charles M., et al.
Pubblicazione: (2024)

Exponential Runge-Kutta methods for parabolic equations with state-dependent delay
di: Huang, Qiumei, 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)

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

Stability theory of TASE-Runge-Kutta methods with inexact Jacobian
di: Conte, D., et al.
Pubblicazione: (2024)

A robust time-split linearized explicit/implicit technique for two-dimensional hydrodynamic model: an application to floods in Cameroon far north region
di: Ngondiep, Eric
Pubblicazione: (2024)

Exponential Runge-Kutta methods of collocation type for parabolic equations with time-dependent delay
di: Huang, Qiumei, et al.
Pubblicazione: (2025)

Nonsmooth data error estimates for exponential Runge-Kutta methods and applications to split exponential integrators
di: Huang, Qiumei, et al.
Pubblicazione: (2025)

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

BDF2-type integrator for Landau-Lifshitz-Gilbert equation in micromagnetics: unconditional weak convergence to weak solutions
di: Aldé, Michele, et al.
Pubblicazione: (2025)

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

A strong two-stage explicit/implicit approach combined with mixed finite element methods for a three-dimensional nonlinear radiation-conduction model in anisotropic media
di: Ngondiep, Eric
Pubblicazione: (2025)

Multirate Runge-Kutta for Nonlinearly Partitioned Systems
di: Buvoli, Tommaso, et al.
Pubblicazione: (2025)

A first-order hyperbolic reformulation of the Cahn-Hilliard equation
di: Dhaouadi, Firas, et al.
Pubblicazione: (2024)

A Discontinuous Galerkin Scheme for the Cahn-Hilliard Equations with Discrete Maximum Principle for Arbitrary Polynomial Order
di: Gunnarsson, Jimmy Kornelije, et al.
Pubblicazione: (2026)

Implicit-explicit Runge-Kutta for radiation hydrodynamics I: gray diffusion
di: Southworth, Ben S., et al.
Pubblicazione: (2023)

Explicit Runge-Kutta-Chebyshev methods of second order with monotonic stability polynomial
di: Faleichik, Boris, et al.
Pubblicazione: (2025)

On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws
di: Ranocha, Hendrik, et al.
Pubblicazione: (2023)

An unconditionally stable numerical approach for solving a nonlinear distributed delay Sobolev model
di: Ngondiep, Eric
Pubblicazione: (2025)

A second-order dynamical low-rank mass-lumped finite element method for the Allen-Cahn equation
di: Yang, Jun, 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)

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)