

@article{piazzola.eal:SIR,
  author = {Piazzola, C. and Tamellini, L. and Tempone, R.},
  title  = {A note on tools for prediction under uncertainty and identifiability of {SIR}-like dynamical systems for epidemiology},
  journal= {Mathematical Biosciences},
  year   = {2021},
  volume = {332},
  number = {},
  pages = {108514},
  doi = {10.1016/j.mbs.2020.108514}
}

@article{marchi:leja,
  title={On {L}eja sequences: some results and applications},
  author={De Marchi, S.},
  journal={Appl. Math. Comput.},
  year={2004},
  volume={152},
  pages={621-647},
  doi = {10.1016/S0096-3003(03)00580-0}
}

@article{Chkifa:leja,
	title = "On the {L}ebesgue constant of {L}eja sequences for the complex unit disk and of their real projection ",
	journal = "Journal of Approximation Theory ",
	volume = "166",
	number = "0",
	pages = "176 - 200",
	year = "2013",
	author = "Chkifa, A.",
}

@Incollection{nobile.etal:leja,
	year={2015},
	booktitle={Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM '14},
	volume={106},
	series={Lecture Notes in Computational Science and Engineering},
	editor={Kirby, R. M. and Berzins, M. and Hesthaven, J. S.},
	title={Comparison of {C}lenshaw–{C}urtis and {L}eja {Q}uasi-{O}ptimal {S}parse {G}rids for the {A}pproximation of {R}andom {PDE}s},
	publisher={Springer International Publishing},
	author={Nobile, F. and Tamellini, L. and Tempone, R.},
	pages={475-482},
	doi={10.1007/978-3-319-19800-2_44}
}

@article{piazzola.tamellini:SGK,
        author = {Piazzola, C. and Tamellini, L.},
        title  = {Algorithm 1040: {The Sparse Grids Matlab Kit} - a {Matlab} implementation of sparse grids for high-dimensional function approximation and uncertainty quantification},
        journal= {ACM Trans. Math. Softw.},
        year   = {2024},
        month  = mar,
        volume = {50},
        number = {1},
        pages = {7:1--7:22},
        articleno = {7},
        numpages = {22},
        url = {https://doi.org/10.1145/3630023},
        doi = {10.1145/3630023},
}

@article{Seelinger2023:umbridge,
doi = {10.21105/joss.04748},
url = {https://doi.org/10.21105/joss.04748},
year = {2023},
publisher = {The Open Journal},
volume = {8},
number = {83},
pages = {4748},
author = {L. Seelinger and V. Cheng-Seelinger and A. Davis and M. Parno and A. Reinarz},
title = {{UM-Bridge: Uncertainty quantification and modeling bridge}},
journal = {Journal of Open Source Software} }

@Book{		  gautschi:orthogonal,
	author	= {Gautschi, W.},
	title		= {Orthogonal Polynomials: Computation and Approximation},
	publisher	= {Oxford University Press},
	address	= {Oxford},
	year		= {2004},
	doi       = {10.1093/oso/9780198506720.001.0001}
}

@Article{	  gerstner.griebel:adaptive,
	author	= {Gerstner, T. and Griebel, M.},
	title		= {Dimension-adaptive tensor-product quadrature},
	journal	= {Computing},
	volume	= {71},
	year		= {2003},
	number	= {1},
	pages		= {65--87},
	issn		= {0010-485X},
	coden		= {CMPTA2},
	mrclass	= {65D30},
	mrnumber	= {2009651 (2004k:65036)},
	mrreviewer	= {Marc Prevost},
	doi		= {10.1007/s00607-003-0015-5},
	myurl		= {http://dx.doi.org/10.1007/s00607-003-0015-5}
}

@article{narayan:Leja,
	author = {A. Narayan and J. D. Jakeman},
	title = {Adaptive {L}eja {S}parse {G}rid {C}onstructions for {S}tochastic {C}ollocation and {H}igh-{D}imensional {A}pproximation},
	journal = {SIAM Journal on Scientific Computing},
	volume = {36},
	number = {6},
	pages = {A2952-A2983},
	year = {2014},
	doi = {10.1137/140966368},
}

@Article{	  trefethen:comparison,
	author	= {Trefethen, L. N.},
	title		= {Is {G}auss quadrature better than {C}lenshaw-{C}urtis?},
	journal	= {SIAM Rev.},
	fjournal	= {SIAM Review},
	volume	= {50},
	year		= {2008},
	number	= {1},
	pages		= {67--87},
	issn		= {0036-1445},
	mrclass	= {65D32 (41A20 41A55)},
	mrnumber	= {2403058 (2009c:65061)},
	mrreviewer	= {Kai Diethelm},
	doi		= {10.1137/060659831},
	myurl		= {http://dx.doi.org/10.1137/060659831}
}

@article {genz.keister:kpnquad,
	AUTHOR = {Genz, A. and Keister, B. D.},
	TITLE = {Fully symmetric interpolatory rules for multiple integrals
	over infinite regions with {G}aussian weight},
	JOURNAL = {J. Comput. Appl. Math.},
	FJOURNAL = {Journal of Computational and Applied Mathematics},
	VOLUME = {71},
	YEAR = {1996},
	NUMBER = {2},
	PAGES = {299--309},
	ISSN = {0377-0427},
	DOI = {10.1016/0377-0427(95)00232-4},
}

@Book{		  quarteroni.sacco.eal:numerical,
	author	= {Quarteroni, A. and Sacco, R. and Saleri, F.},
	title		= {Numerical mathematics},
	series	= {Texts in Applied Mathematics},
	volume	= 37,
	edition	= {Second},
	publisher	= {Springer-Verlag},
	address	= {Berlin},
	year		= 2007,
	pages		= {xviii+655},
	isbn		= {978-3-540-34658-6; 3-540-34658-9},
	doi       = {10.1007/b98885},
	mrclass	= {65-01},
	mrnumber	= {MR2265914 (2007f:65001)}
}
