Multiple numerical solutions of inviscid transonic flow over several airfoils exist at certain Mach number and angle of attack. Global linear stability analysis of the multiple solutions is conducted in this paper. Linear perturbation equations of the Euler equations around a steady-state solution are formed, an eigenvalue problem is then constructed using the modal analysis approach, then it i...

Introduction and Basic Concepts.- Regularization Theory for Equations of the First Kind.- by Discretization.- Inverse Eigenvalue Problems.- An Problem in Electrical Impedance Tomography.- Scattering Problem.- References.- Index

Eigenvalue problems arise in many areas of physics, from solving a classical electromagnetic problem to calculating the quantum bound states hydrogen atom. In textbooks, eigenvalue are defined for linear problems, particularly differential equations such as time-independent Schr\"odinger equations. Eigenfunctions exhibit several standard features independent form underlying As discussed Bender ...