Cover Image

Global-in-time energy stability analysis for the exponential time differencing Runge-Kutta scheme for the phase field crystal equation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Li, Xiao, Qiao, Zhonghua, Wang, Cheng, Zheng, Nan
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Maximum bound principle and original energy dissipation of arbitrarily high-order rescaled exponential time differencing Runge-Kutta schemes for Allen--Cahn equations
by: Quan, Chaoyu, et al.
Published: (2024)

Convergence analysis of exponential time differencing scheme for the nonlocal Cahn-Hilliard equation
by: Zhang, Danni, et al.
Published: (2024)

Maximum bound principle preserving and energy decreasing exponential time differencing schemes for the matrix-valued Allen-Cahn equation
by: Liu, Yaru, et al.
Published: (2023)

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

Stability and convergence analysis of unconditionally original energy dissipative implicit-explicit Runge--Kutta methods for the phase field crystal models without Lipschitz assumptions
by: Li, Xiaoli, et al.
Published: (2026)

Energy stable and maximum bound principle preserving schemes for the Q-tensor flow of liquid crystals
by: Hou, Dianming, et al.
Published: (2023)

Multi-rate Runge-Kutta methods: stability analysis and applications
by: Bachmann, Bernhard, et al.
Published: (2024)

A structure-preserving implicit exponential time differencing scheme for Maxwell-Amp`ere Nernst-Planck model
by: Guo, Yunzhuo, et al.
Published: (2024)

A fourth-order exponential time differencing scheme with dimensional splitting for non-linear reaction-diffusion systems
by: Asante-Asamani, E. O., et al.
Published: (2024)

Convergence and stability analysis of energy stable and bound‐preserving numerical schemes for binary fluid‐surfactant phase‐field equations
by: Jiayi Duan, et al.
Published: (2024)

A Randomized Runge-Kutta Method for time-irregular delay differential equations
by: Difonzo, Fabio V., et al.
Published: (2024)

A class of flexible and efficient partitioned Runge-Kutta-Chebyshev methods for some time-dependent partial differential equations
by: Tang, Xiao, et al.
Published: (2025)

Segregated Runge-Kutta schemes for the time integration of the incompressible Navier-Stokes equations in presence of pressure stabilization
by: Bakhvalov, Pavel
Published: (2025)

Efficient implementation of high-order isospectral symplectic Runge-Kutta schemes
by: da Silva, Clauson Carvalho, et al.
Published: (2025)

Stability analysis of Runge-Kutta methods for nonlinear delay-integro-differential-algebraic equations
by: Wang, Gehao, et al.
Published: (2025)

A fourth-order exponential time differencing scheme with real and distinct poles rational approximation for solving non-linear reaction-diffusion systems
by: Attipoe, Wisdom Kwame, et al.
Published: (2025)

Numerical and statistical analysis of NeuralODE with Runge-Kutta time integration
by: Ehrhardt, Emily C., et al.
Published: (2025)

Automated Runge-Kutta-Nyström time stepping for finite element methods in Irksome
by: Kirby, Robert C., et al.
Published: (2025)

On the maximum bound principle and energy dissipation of exponential time differencing methods for the chiral liquid crystal blue phases
by: Hu, Wenshuai, et al.
Published: (2025)

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)

Two new families of fourth-order explicit exponential Runge--Kutta methods with four stages for first-order differential systems
by: Hu, Xianfa, et al.
Published: (2022)

Quasi-Orthogonal Runge-Kutta Projection Methods
by: Najafian, Mohammad R., et al.
Published: (2024)

Decoupling Runge-Kutta schemes for elliptic-parabolic problems
by: Altmann, Robert, et al.
Published: (2026)

Second order finite volume IMEX Runge-Kutta schemes for two dimensional parabolic PDEs in finance
by: López-Salas, J. G., et al.
Published: (2024)

High-order implicit Runge-Kutta time integrators for component-based model reduction of FSI problems
by: Taddei, Tommaso, et al.
Published: (2025)

Comparison of the high-order Runge-Kutta discontinuous Galerkin method and gas-kinetic scheme for inviscid compressible flow simulations
by: Wang, Yixiao, et al.
Published: (2024)

Modified Singly-Runge-Kutta-TASE methods for the numerical solution of stiff differential equations
by: Calvo, M., et al.
Published: (2024)

Asymptotic stability of many numerical schemes for phase-field modeling
by: Li, Pansheng, et al.
Published: (2024)

High-Order and Energy-Stable Implicit-Explicit Relaxation Runge-Kutta Schemes for Gradient Flows
by: Cheng, Yuxiu, et al.
Published: (2025)

Learning phase-space flows using time-discrete implicit Runge-Kutta PINNs
by: Corral, Álvaro Fernández, et al.
Published: (2024)

Energy Conservative Relaxation-Free Runge-Kutta Schemes
by: Najafian, Mohammad R., et al.
Published: (2024)

Explicit radial basis function Runge-Kutta methods
by: Gu, Jiaxi, et al.
Published: (2024)

Order Conditions for Nonlinearly Partitioned Runge-Kutta Methods
by: Tran, Brian K., et al.
Published: (2024)

Pseudo-Energy-Preserving Explicit Runge-Kutta Methods
by: de León, Gabriel A. Barrios, et al.
Published: (2024)

Derivation of sixth-order exponential Runge--Kutta methods for stiff systems
by: Luan, Vu Thai, et al.
Published: (2023)

Smooth perturbations of diagonally implicit Runge--Kutta methods
by: Driscoll, John, et al.
Published: (2026)

An extended framework of continuous-stage Runge-Kutta methods
by: Tang, Wensheng
Published: (2018)

A priori error estimates of Runge-Kutta discontinuous Galerkin schemes to smooth solutions of fractional conservation laws
by: Leotta, Fabio, et al.
Published: (2024)

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

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