Numerical implementation of complex orthogonalization, parallel transport on Stiefel bundles, and analyticity
DOI10.1016/j.physd.2010.02.013zbMath1192.65103OpenAlexW2101411678MaRDI QIDQ979117
Thomas J. Bridges, Daniele Avitabile
Publication date: 25 June 2010
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2010.02.013
hydrodynamic stabilityNewton's methodnumerical examplesOrr-Sommerfeld equationgeometric integrationconstraintsorthonormalizationPoincaré indexStiefel bundlesGauss-Legendre Runge-Kutta (GLRK) algorithms
Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Linear ordinary differential equations and systems in the complex domain (34M03)
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