This paper gives the analysis and numerics underlying a shooting method for approximating the eigenvalues of nonselfadjoint Sturm-Liouville problems. We consider even order problems with (equally divided) separated boundary conditions. The method can nd the eigenvalues in a rectangle and in a left half-plane. It combines the argument principle with the compound matrix method (using the Magnus e...

A higher order scheme is presented for the optimal correction method previously proposed by the authors for computing the 3-D position of corresponding points in a stereo image pair, and this method is compared with the Hartley-Sturm method. It is pointed out that the epipole is a singularity of the Harley-Sturm method, while the our method has no singularity. It is confirmed by numerical simul...

  Abstract.   The Sturm-Liouville boundary value problem of the multi-order fractional differential equation  is studied. Results on the existence of solutions are established. The analysis relies on a weighted function space and a fixed point theorem. An example is given to illustrate the efficiency of the main theorems.

This work is about the use of some classical spectral collocation methods as well with new software system Chebfun in order to compute eigenpairs high Sturm–Liouville eigenproblems. The analysis divided into two distinct directions. For problems clamped boundary conditions, we preconditioning differentiation matrices and for hinged end conditions equation transformed a second then conventional ...