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dc.contributor.authorSarmiento, A.
dc.contributor.authorEspath, L.
dc.contributor.authorVignal, P.
dc.contributor.authorDalcin, L.
dc.contributor.authorParsani, M.
dc.contributor.authorCalo, Victor
dc.identifier.citationSarmiento, A. and Espath, L. and Vignal, P. and Dalcin, L. and Parsani, M. and Calo, V. 2017. An energy-stable generalized-α method for the Swift-Hohenberg equation. Journal of Computational and Applied Mathematics. 344: pp. 836-851.

We propose a second-order accurate energy-stable time-integration method that controls the evolution of numerical instabilities introducing numerical dissipation in the highest-resolved frequencies. Our algorithm further extends the generalized-a method and provides control over dissipation via the spectral radius. We derive the first and second laws of thermodynamics for the Swift-Hohenberg equation and provide a detailed proof of the unconditional energy stability of our algorithm. Finally, we present numerical results to verify the energy stability and its second-order accuracy in time.

dc.titleAn energy-stable generalized-α method for the Swift-Hohenberg equation
dc.typeJournal Article
dcterms.source.titleJournal of Computational and Applied Mathematics
curtin.departmentSchool of Earth and Planetary Sciences (EPS)
curtin.accessStatusOpen access

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