A modified Cayley transform for the discretized Navier-Stokes equations

In an earlier paper [5] a method for eigenvalue inclussion using a Gerschgorin type theory originating from Donnelly [2] was applied to the plane Orr-Sommerfeld problem in the case of a pure Poiseuile flow. In this paper the same method will be used to deal Poiseuile and Couette flow. Potter [6] has treated this case before with an approximative method.

Equality in Wielandt’s eigenvalue inequality

Shmuel Friedland (2015)

Special Matrices

Similarity:

In this paper we give necessary and sufficient conditions for the equality case in Wielandt’s eigenvalue inequality.

Displaying similar documents to “A modified Cayley transform for the discretized Navier-Stokes equations”

Algorithms. 42. BISEC. The eigenvalues of the symmetric eigenproblem 𝐀 x = λ 𝐁 x and related eigenproblems

On the Approximative Construction of the Eigenvectors Corresponding to a Pair of Complex Conjugated Eigenvalues

Locating real eigenvalues of a spectral problem in fluid-solid type structures.

Dependence of a differential equation on the first eigenvalue of a suitable problem

On some properties of eigenvalues and eigenfunctions of certain differential equations of the fourth order

Including eigenvalues of the plane Orr-Sommerfeld problem

Equality in Wielandt’s eigenvalue inequality

Algorithms. 42. BISEC. The eigenvalues of the symmetric eigenproblem $𝐀 x = λ 𝐁 x$ and related eigenproblems