## A new approach to the solution of large, full matrix equations: a two-dimensional potential flow feasibility studyR. M. James, R. W. Clark, United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch, Langley Research Center National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1979 - Mathematics - 79 pages |

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a-smoothing application approximated arc length basic fitting basic method behavior boundary condition calculation column vectors convergence direct matrix solution direct solution dominant diagonal Douglas Aircraft Company E33 airfoil eigenvector method eigenvector series expansion coefficients Fast Fourier Transform FFT algorithm fit the matrix fittability fitting method fitting procedure Fourier coefficients Fourier series Green's identity Hess improved influence coefficients influence matrix integral equation iterative method Kutta condition Laplace's equation large number leads lifting airfoil linear fitting linear simultaneous equations matrix equation mode functions mode-function approach mode-function concept mode-function method nonlifting number of terms operation count operations required panel method point number possesses a dominant Potential Flow presented in section pure source distribution pure vortex distribution reduced results obtained results presented section 4.5 sharp trailing edge shown in figures singularity distribution singularity strengths solved source density source strength technique thin airfoil three-dimensional problems tion truncated solution values velocity distribution