New third-order convex splitting methods and analysis for the phase field crystal equation

DOI10.1007/S11075-024-01782-3MaRDI QIDQ6660849

Zhoushun Zheng, Zhi-Lin Li, Zhijian Ye

Publication date: 10 January 2025

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

unique solvabilityenergy stabilityconvex splitting methodphase field crystal equationthird-order backward difference formula

Mathematics Subject Classification ID

Numerical analysis (65-XX)

Cites Work

• An unconditionally energy-stable method for the phase field crystal equation
• Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation
• An adaptive time-stepping strategy for solving the phase field crystal model
• First and second order operator splitting methods for the phase field crystal equation
• Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation
• Two finite difference schemes for the phase field crystal equation
• An efficient algorithm for solving the phase field crystal model
• First and second order numerical methods based on a new convex splitting for phase-field crystal equation
• Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model
• Convergence analysis and numerical implementation of a second order numerical scheme for the three-dimensional phase field crystal equation
• Stability and convergence analysis of fully discrete Fourier collocation spectral method for 3-D viscous Burgers' equation
• A second order accurate scalar auxiliary variable (SAV) numerical method for the square phase field crystal equation
• A stabilized fully-discrete scheme for phase field crystal equation
• Long-time simulation of the phase-field crystal equation using high-order energy-stable CSRK methods
• Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation
• Efficient modified stabilized invariant energy quadratization approaches for phase-field crystal equation
• Stability and error estimate of the operator splitting method for the phase field crystal equation
• An efficient and stable compact fourth-order finite difference scheme for the phase field crystal equation
• Improving the accuracy of convexity splitting methods for gradient flow equations
• Convergence analysis of a second order convex splitting scheme for the modified phase field crystal equation
• An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation
• Local Discontinuous Galerkin Method and High Order Semi-Implicit Scheme for the Phase Field Crystal Equation
• An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
• The computational method for nonlinear parabolic equation
• An adaptive BDF2 implicit time-stepping method for the phase field crystal model
• The Exponential Scalar Auxiliary Variable (E-SAV) Approach for Phase Field Models and Its Explicit Computing
• An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation
• A Third Order BDF Energy Stable Linear Scheme for the No-Slope-Selection Thin Film Model
• A simple and efficient scheme for phase field crystal simulation
• A Third Order Accurate in Time, BDF-Type Energy Stable Scheme for the Cahn-Hilliard Equation
• Benchmark Computations of the Phase Field Crystal and Functionalized Cahn-Hilliard Equations via Fully Implicit, Nesterov Accelerated Schemes
• A C⁰ interior penalty method for the phase field crystal equation
• Efficient and energy stable numerical schemes for the two-mode phase field crystal equation

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