A Restarted Induced Dimension Reduction method to approximate eigenpairs of large unsymmetric matrices

A new algorithm to compute eigenpairs of large unsymmetric matrices is presented. Using the Induced Dimension Reduction method (IDR), which was originally proposed for solving linear systems, we obtain a Hessenberg decomposition from which we approximate the eigen-values and eigenvectors of a matrix. This decomposition has two main advantages....

Linear temporal stability analysis: Of a thin layer of liquid sheared by an air stream

Aspects of second- and third-order panel methods demonstrated for the two-dimensional flat plate problem

Characteristics of three second-order and two third-order panel method formulations for the incompressible flow about a flat plate at incidence are investigated. The second order methods employ quadratic representations for the doublet distribution, either based on quadratic B-splines or on a combination of a Taylor series expansion and finite...

The application of piecewise polynomials to problems of curve and surface approximation

For many years, long, thin strips of wood or some other material have been used by draftsmen to fair in a smooth curve between specified points. These strips or mechanical splines are kept in place by attaching lead weights called "ducks " at points along the strip. In order to represent similar smooth curves mathematically, the concept of...