Computing the maximum amplification of the solution norm of differential-algebraic systems

DOI10.1007/S10598-012-9132-3zbMath1258.65072OpenAlexW1999315003WikidataQ61664553 ScholiaQ61664553MaRDI QIDQ1929330

Miloud Sadkane, Yuri M. Nechepurenko, Andrey V. Boiko

Publication date: 7 January 2013

Published in: Computational Mathematics and Modeling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10598-012-9132-3

zbMATH Keywords

stabilitynumerical exampleslaminar flowslinear differential-algebraic systemslaminar-turbulent transition analysislinearized viscous incompressible flow equationsmaximum amplification

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Implicit ordinary differential equations, differential-algebraic equations (34A09) Numerical methods for differential-algebraic equations (65L80) Transition to turbulence (76F06)

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Uses Software

• Eigtool
• MATLAB expm
• mftoolbox

Cites Work

• Unnamed Item
• Stability and transition in shear flows
• Technique for the numerical analysis of the riblet effect on temporal stability of plane flows
• Fast computation of optimal disturbances for duct flows with a given accuracy
• A Low-Rank Approximation for Computing the Matrix Exponential Norm
• Hydrodynamic Stability Without Eigenvalues
• Numerical spectral analysis of temporal stability of laminar duct flows with constant cross sections
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
• The Scaling and Squaring Method for the Matrix Exponential Revisited
• Functions of Matrices

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