## Accurate spectral collocation computations of high order eigenvalues for singular Schrödinger equations-revisited

AbstractIn this paper, we continue to solve as accurately as possible singular eigenvalues problems attached to the Schrödinger equation. We…

## Spectral collocation solutions to second order singular Sturm-Liouville eigenproblems

AbstractWe comparatively use some classical spectral collocation methods as well as highly performing Chebfun algorithms in order to compute the…

## An implicit numerical spline method for systems for ODEs

Abstract An implicit numerical method is introduced that gives piecewise polynomial spline approximations for the solution of an initial value…

## Spectral Methods for Differential Problems

Book summarySummary of the book… Book cover Contents clickableI First Part 1 Chebyshev polynomials 1.1 General properties 1.2 Fourier and…

## Spectral collocation solutions to a class of pseudo-parabolic equations

AbstractIn this paper we solve by method of lines (MoL) a class of pseudo-parabolic PDEs defined on the real line.…

## Invariant sets and attractors for Hanusse-type chemical systems with diffusions

AbstractWe are concerned with Hanusse-type chemical models with diffusions. We show that some bounded invariant sets ⊂R^{N} found for the…