NAEV method guarantees positivity of the square-root functional and unconditional energy stability for gradient-flow schemes without the bounded-below restrictions required by SAV and IEQ.
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Proves unconditional energy stability and second-order temporal convergence for SAV Fourier-spectral schemes applied to the phase field crystal equation.
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Energy stable schemes for gradient flows based on novel auxiliary variable with energy bounded above
NAEV method guarantees positivity of the square-root functional and unconditional energy stability for gradient-flow schemes without the bounded-below restrictions required by SAV and IEQ.
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Stability and Error estimates of the SAV Fourier-spectral method for the Phase Field Crystal Equation
Proves unconditional energy stability and second-order temporal convergence for SAV Fourier-spectral schemes applied to the phase field crystal equation.