A second-order Strang splitting scheme for the generalized Allen-Cahn type phase-field crystal model with FCC ordering structure (Q6591822)

scientific article; zbMATH DE number 7900565

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English	A second-order Strang splitting scheme for the generalized Allen-Cahn type phase-field crystal model with FCC ordering structure	scientific article; zbMATH DE number 7900565

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scholarly article

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title

A second-order Strang splitting scheme for the generalized Allen-Cahn type phase-field crystal model with FCC ordering structure (English)

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Communications in Nonlinear Science and Numerical Simulation

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publication date

22 August 2024

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zbMATH Keywords

phase-field crystal model

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FCC ordering structure

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operator splitting method

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Fourier spectral method

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SSP-RK method

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MaRDI profile type

Publication

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cites work

An energy stable, hexagonal finite difference scheme for the 2D phase field crystal amplitude equations

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The numerical simulation of the phase field crystal (PFC) and modified phase field crystal (MPFC) models via global and local meshless methods

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A second order accurate scalar auxiliary variable (SAV) numerical method for the square phase field crystal equation

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Numerical approximation of the square phase-field crystal dynamics on the three-dimensional objects

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First and second order operator splitting methods for the phase field crystal equation

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First- and second-order energy stable methods for the modified phase field crystal equation

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Efficient modified stabilized invariant energy quadratization approaches for phase-field crystal equation

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A second order unconditionally stable scheme for the modified phase field crystal model with elastic interaction and stochastic noise effect

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On efficient numerical schemes for a two-mode phase field crystal model with face-centered-cubic (FCC) ordering structure

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Generalized Allen-Cahn-type phase-field crystal model with FCC ordering structure and its conservative high-order accurate algorithm

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An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation

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Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation

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Convergence analysis and numerical implementation of a second order numerical scheme for the three-dimensional phase field crystal equation

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An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

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An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation

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Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation

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Convergence Analysis of a Second Order Convex Splitting Scheme for the Modified Phase Field Crystal Equation

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On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations

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Convergence of a Fast Explicit Operator Splitting Method for the Epitaxial Growth Model with Slope Selection

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Error analysis of the Strang time-splitting Laguerre-Hermite/Hermite collocation methods for the Gross-Pitaevskii equation

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Convergence Analysis of High-Order Time-Splitting Pseudospectral Methods for Nonlinear Schrödinger Equations

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A second-order Strang splitting scheme with exponential integrating factor for the Allen-Cahn equation with logarithmic Flory-Huggins potential

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Error analysis and numerical simulations of Strang splitting method for space fractional nonlinear Schrödinger equation

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A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance

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Convergence Analysis of the Variational Operator Splitting Scheme for a Reaction-Diffusion System with Detailed Balance

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A Second-Order Accurate, Operator Splitting Scheme for Reaction-Diffusion Systems in an Energetic Variational Formulation

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Error bounds for exponential operator splittings

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Accurate partial difference methods. II: Non-linear problems

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Convergence Analysis for Operator-Splitting Methods Applied to Conservation Laws with Stiff Source Terms

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Stability and error estimate of the operator splitting method for the phase field crystal equation

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A new Allen-Cahn type two-model phase-field crystal model for fcc ordering and its numerical approximation

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Total variation diminishing Runge-Kutta schemes

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Comparison study on the different dynamics between the Allen-Cahn and the Cahn-Hilliard equations

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A second order operator splitting numerical scheme for the ``good'' Boussinesq equation

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A second-order exponential time differencing multi-step energy stable scheme for Swift-Hohenberg equation with quadratic-cubic nonlinear term

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Identifiers

DOI

10.1016/j.cnsns.2024.108143

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6591822