Numerical solution of eigenvalue problems using the compound matrix method

DOI10.1016/0021-9991(88)90066-6zbMath0641.65065OpenAlexW2019240113MaRDI QIDQ1100859

Stergios G. Yiantsios, Brian G. Higgins

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-9991(88)90066-6

zbMATH Keywords

linear stabilityeigenvalue problemsPoiseuille flowcompound matrix methodinterfacial boundary conditionsfourth order systemOrr- Sommerfeld system

Mathematics Subject Classification ID

Parallel shear flows in hydrodynamic stability (76E05) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)

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Cites Work

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• An initial value method for eigenvalue problems using compound matrices
• Totally positive differential systems
• Analysis of superposed fluids by the finite element method: Linear stability and flow development
• Instability due to viscosity stratification
• The Stability of Plane Poiseuille Flow