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C.I. Gheorghiu and J. Rommes Application of the Jacobi–Davidson method to accurate analysis of singular linear hydrodynamic stability problems International Journal for Numerical Methods in Fluids 71

Article first published online: 26 MAR 2012 | DOI: 10.1002/fld.3669

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Arnoldi-based and Jacobi-Davidson-based eigenvalue solvers (real and complex) are applied to non-Hermitian generalized eigenvalue problems with a singular matrix, arising in linear hydrodynamic stability analysis. Accuracy, convergence, and pseudospectra are analyzed.

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