In the paper, we determine the eigenvalues and eigenfunctions of the generalized Sturm–
Liouville problems, whose potentials may be nonlinear functions of eigen-parameter, by …

The Chebyshev collocation method implemented in Chebfun is used in order to solve a
class of second order one-dimensional singular and genuinely nonlinear boundary value …

This paper investigates the numerical approximation of the eigenvalues of regular and
singular second-order non-self-adjoint Sturm–Liouville problems using an efficient …

The spectral Tau method to compute eigenpairs of ordinary differential equations is
implemented as part of the Tau Toolbox—a numerical library for the solution of integro …

In this paper, we continue to solve as accurately as possible singular eigenvalues problems
attached to the Schrödinger equation. We use the conventional ChC and SiC as well as …

This work is about the use of some classical spectral collocation methods as well as with the
new software system Chebfun in order to compute the eigenpairs of some high order Sturm …

The present work deals with the stability theory of fluid flows. The central subject is the
question under which circumstances a flow becomes unstable. Instabilities are a frequent …