High accuracy periodic solutions to the Sivashinsky equation

DOI10.1016/S0021-9991(03)00164-5zbMath1022.65141MaRDI QIDQ1399632

Vladimir Karlin, Gunther Schmidt, Vladimir Gilelevich Maz'ya

Publication date: 30 July 2003

Published in: Journal of Computational Physics (Search for Journal in Brave)

zbMATH Keywords

algorithmperiodic solutionsstabilizationerror boundsSivashinsky equationspectral methodslaminar premixed flamelong wave instability

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Periodic solutions of integral equations (45M15) Stability theory for integral equations (45M10)

Related Items (2)

ESTIMATION OF THE LINEAR TRANSIENT GROWTH OF PERTURBATIONS OF CELLULAR FLAMES ⋮ Turbulent propagation of premixed flames in the presence of Darrieus–Landau instability

Cites Work

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• Pseudospectra of Linear Operators
• On approximate approximations using Gaussian kernels
• Numerical Solution of Nonlinear Hypersingular Integral Equations of the Peierls Type in Dislocation Theory
• Stability of Pole Solutions for Planar Propagating Flames: I. Exact Eigenvalues and Eigenfunctions

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