Parallel Homotopy Algorithm For Large Sparse Generalized Eigenvalue Problems: Application to Hydrodynamic Stability Analysis

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discrete Laplacian, locally finite graphs, eigenvalues, asymptotic, pla- narity, sparse, functional

With this configuration, the normal mode basis is not sufficient to stabilize the complex modes in the higher frequency band and the residual error is not improved for 10% of modes,

These estimates lead to log type stability inequalities for the problem of recovering the solution of the Stokes and Navier-Stokes equations from both boundary and

The Lorentz eigenvalue problem is the prototype example of a cone-constrained eigenvalue problem involving a nonpolyhedral convex cone... The equilibrium law (39) is as

If a standard Krylov technique were to be applied to the propagator of the linear equations of motion alone, only the single unstable shear-layer mode could be extracted, all

For second-order state constraints, a shooting approach can be used for the stability analysis if all the touch points are reducible, see [20, 8], but not in presence of