- A single shooting method with approximate Fréchet derivative for computing geodesics on the Stiefel manifold, M. Sutti, Electron. Trans. Numer. Anal. (ETNA), Vol. 60, 501–519, September 2024.
bibtex
@article{Sutti:2024,
author = {Sutti, M.},
title = {A single shooting method with approximate {F}r\'{e}chet derivative for computing geodesics on the {S}tiefel manifold},
fjournal = {Electronic Transactions on Numerical Analysis},
journal = {Electron. Trans. Numer. Anal.},
volume = {60},
pages = {501--519},
month = {Sep},
year = {2024},
issn = {1068–9613},
doi = {10.1553/etna_vol60s501},
url = {https://etna.math.kent.edu/vol.60.2024/pp501-519.dir/pp501-519.pdf}
}
- Implicit low-rank Riemannian schemes for the time integration of stiff partial differential equations, M. Sutti, B. Vandereycken, Vol. 101, article number 3, J. Sci. Comput., 13 August 2024.
bibtex
@article{Sutti_V:2024,
author = {Sutti, M. and Vandereycken, B.},
title = {Implicit low-rank Riemannian schemes for the time integration of stiff partial differential equations},
fjournal = {Journal of Scientific Computing},
journal = {J. Sci. Comput.},
month = {Aug},
year = {2024},
day = {13},
volume = {101},
number = {1},
pages = {3},
issn = {1573-7691},
doi = {10.1007/s10915-024-02629-8},
url = {https://doi.org/10.1007/s10915-024-02629-8}
}
- Riemannian gradient descent for spherical area-preserving mappings, M. Sutti, M.-H. Yueh, AIMS Math., Vol. 9(7), 19414–19445, 12 June 2024.
bibtex
@article{Sutti_Yueh:2024,
author = {Sutti, M. and Yueh, M.-H.},
title = {Riemannian gradient descent for spherical area-preserving mappings},
fjournal = {AIMS Mathematics},
journal = {AIMS Math.},
volume = {9},
number = {7},
pages = {19414--19445},
year = {2024},
issn = {2473-6988},
doi = {10.3934/math.2024946},
url = {https://www.aimspress.com/article/doi/10.3934/math.2024946}
}
- Perfectly matched layers for the Boltzmann equation: Stability and sensitivity analysis, M. Sutti, J. S. Hesthaven, J. Comput. Phys., Vol. 509, 15 July 2024, 113047.
bibtex
@article{Sutti_H:2024,
author = {Sutti, M. and Hesthaven, J. S.},
title = {Perfectly matched layers for the {B}oltzmann equation: {S}tability and sensitivity analysis},
fjournal = {Journal of Computational Physics},
journal = {J. Comput. Phys.},
volume = {509},
pages = {113047},
issn = {0021-9991},
year = {2024},
doi = {10.1016/j.jcp.2024.113047}
}
- Riemannian multigrid line search for low-rank problems, M. Sutti, B. Vandereycken, SIAM J. Sci. Comput., 43(3), A1803–A1831, 2021.
bibtex
@article{Sutti_V:2021,
author = {Sutti, M. and Vandereycken, B.},
title = {Riemannian multigrid line search for low-rank problems},
journal = {SIAM J. Sci. Comput.},
volume = {43},
number = {3},
pages = {A1803--A1831},
year = {2021},
doi = {10.1137/20M1337430}
}
- Nonlinear Schwarz methods to compute geodesics on manifolds, M. Sutti, T. Vanzan, Tech. report, September 2024.
bibtex
@article{Sutti_Vanzan:2024,
author = {Sutti, M. and Vanzan, T.},
title = {{N}onlinear {S}chwarz methods to compute geodesics on manifolds},
journal = {arXiv preprint arXiv:2409.01023},
month = {Sep},
year = {2024}
}
- Shooting methods for computing geodesics on the Stiefel manifold, M. Sutti, Tech. report, September 2023.
bibtex
@article{Sutti:2023,
author = {Sutti, M.},
title = {Shooting methods for computing geodesics on the Stiefel manifold},
journal = {arXiv preprint arXiv:2309.03585},
month = {Sept},
year = {2023}
}
- The leapfrog algorithm as nonlinear Gauss-Seidel, M. Sutti, B. Vandereycken, Tech. report, January 2023.
bibtex
@article{Sutti_V:2023,
author = {Sutti, M. and Vandereycken, B.},
title = {The leapfrog algorithm as nonlinear {G}auss--{S}eidel},
journal = {arXiv preprint arXiv:2010.14137v3},
month = {Jan},
year = {2023}
}
- SPHM: a MATLAB package for Smoothed Particle Hydrodynamics simulations, M. Sutti, Tech. report, September 2022.
bibtex
@article{Sutti:2022a,
author = {Sutti, M.},
title = {SPHM: a MATLAB package for Smoothed Particle Hydrodynamics simulations},
journal = {arXiv preprint arXiv:2209.05189},
month = {Sept},
year = {2022}
}
- SSAF_2024_repo, MATLAB code associated with the paper A single shooting method with approximate Fréchet derivative for computing geodesics on the Stiefel manifold, June 2024.
If you use SSAF_2024_repo for your research, please kindly cite the paper A single shooting method with approximate Fréchet derivative for computing geodesics on the Stiefel manifold.
- PrecRTR, MATLAB code associated with the preprint Implicit low-rank Riemannian schemes for the time integration of stiff partial differential equations, September 2023.
If you use PrecRTR for your research, please kindly cite the preprint Implicit low-rank Riemannian schemes for the time integration of stiff partial differential equations.
- HZLS, MATLAB implementation of the Hager–Zhang line-search technique, November 2022.
- SPHM: A MATLAB package for SPH simulations, MATLAB code associated with the homonymous preprint, September 2022.
- LFMS_Stiefel, MATLAB code associated with the preprint The leapfrog algorithm as nonlinear Gauss-Seidel and my Ph.D. thesis, November 2021.
If you use LFMS_Stiefel for your research, please kindly cite chapter 2 of my Ph.D. thesis, and the preprint The leapfrog algorithm as nonlinear Gauss-Seidel.
- RMGLS: A MATLAB algorithm for Riemannian multilevel optimization. MATLAB code associated with the paper Riemannian multigrid line search for low-rank problems, available on Yareta doi.org/10/ghp6ng, June 2020.
If you use RMGLS for your research, please kindly cite the paper Riemannian multigrid line search for low-rank problems.