Pseudospectra of Linear Operators |
Common terms and phrases
applications behavior biharmonic Böttcher boundary condition BuFa Center circular pipe complex plane compute pseudospectra condition number Contours corresponds curve denote differential operators discrete DrRe DrTr du/dt eigenfunctions Eigenmodes eigenvalue analysis eigenvalues may determine eigenvectors exp(tA exponentially Figure finite Fluid Mech Fourier parameters function GoKr Hilbert space Hille and Phillips Hille-Phillips operator HiPh imaginary axis infinite Jordan block L. N. Trefethen laminar flow left half-plane linear operator log scale Math matrix or operator methods Navier-Stokes Navier-Stokes equations nilpotent non-normal operators normal numerical range Orr-Sommerfeld operator P. J. Schmid paper Papkovich-Fadle perturbations physical pipe Poiseuille flow Plane Poiseuille flow Poiseuille flow operator problem pseudospectra resolvent norm ReTr Reynolds number Riesz basis right half-plane S. C. Reddy semigroup singular value solution spectral abscissa spectrum Stokes flow theory three-dimensional Toeplitz matrix Tollmien-Schlichting waves transient growth transition to turbulence Tre2 TTRD upper bound upper plot Wei Yuan Wiener-Hopf integral operator Yuying