## A Chebyshev matrix method for spatial modes of the Orr-Sommerfeld equationNational Aeronautics and Space Administration, Scientific and Technical Information Div., 1989 - Mathematics - 16 pages |

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1989 A Chebyshev adapted to problems Aerospace Engineering Sciences basic state velocity Biringen Blausius Boundary Layer boundary layer flows Bridges and Morris6 calculations channel and boundary channel flow Chebyshev collocation matrix Chebyshev domain Chebyshev matrix collocation Chebyshev Matrix Method Chebyshev polynomials Chebyshev-tau method collocation matrix method collocation points companion matrix method companion matrix technique complex wave number conditions requiring different Danabasoglu Department of Aerospace Derivative of eigenfunction eigenvalue spectrum eigenvector equation 12 equation for Poiseuille free stream velocity imaginary Jordinson7 Khorrami et aJ.3 Langley Research Center last four rows Laurien4 Least Damped Eigenvalue mapping transformation matrix collocation method Method for Spatial NASA nonlinear eigenvalue problem number of collocation obtain the spatial Orr-Sommerfeld equation parallel shear flows Performing Organization Poiseuille flow problem is linearized QZ algorithm requiring different transformations Reynolds stress Security Classif semi-infinite domain simple column operations solve the temporal Spatial Modes Spatial Stability University of Colorado VAX/VMS velocity profile viscosity