Download

SISMatlab is distributed under the terms of the GNU General Public License 3.0

Matlab files

SISMatlab.zip  —  zip file containing SISMatlab functions

Documentation

SISMatlab.pdf  —  description of the spectral integration method and Matlab routines

Description of user-level functions

SISMatlab.pdf provides an in-depth description of SISMatlab features.

sisSolves.m  —  solution to a forced two-point boundary value problem (TPBVP)
sisEigs.m  —  eigenvalue decomposition of an operator that can be represented by a TPBVP
sisSvdfrs.m  —  singular value decomposition of the frequency response operator that can be represented by a TPBVP
sisHinf.m  —  \(H_\infty\) norm of a stable linear system that can be represented by a TPBVP

Citation

If you use SISMatlab in your research or teaching, please cite our paper:

@article{harkumjovJCP20,
author  = {G. Hariharan and S. Kumar and M. R. Jovanovi\'c},
title   = {Well-conditioned ultraspherical and spectral integration methods for
resolvent analysis of channel flows of {N}ewtonian and viscoelastic fluids},
journal = {J. Comput. Phys.},
year    = {2020},
note    = {submitted; also arXiv:2005.04493},
pdf     = {https://arxiv.org/abs/2005.04493}
}