Publications

Stefan Kunis and Ines Melzer.
A stable and accurate butterfly sparse Fourier transform. SIAM J. Numer. Anal. 50(3):1777–1800, 2012.
URL BibTeX

@article{KuMe12,
	author = "Kunis, Stefan and Melzer, Ines",
	title = "A stable and accurate butterfly sparse {F}ourier transform",
	journal = "{SIAM J. Numer. Anal.}",
	volume = 50,
	year = 2012,
	number = 3,
	pages = "1777--1800",
	issn = "0036-1429",
	coden = "SJNAAM",
	mrclass = "65T50 (42A15)",
	mrnumber = 2970765,
	mrreviewer = "Manfred Tasche",
	url = "/data/publications/paper/KuMe12.pdf"
}

Ines Melzer.
Schnelle Fourier-Transformation für dünne Daten. Diplomarbeit, TU Chemnitz, 2010.
BibTeX

@misc{Mel10,
	author = "Ines Melzer",
	title = "Schnelle {F}ourier-{T}ransformation für dünne {D}aten",
	howpublished = "Diplomarbeit, {TU} {C}hemnitz",
	year = 2010,
	note = {{Remark: An invalid Bernstein inequality was used in the proof of the error estimate in chapter 5. This error was corrected in "A Stable and Accurate Butterfly Sparse Fourier Transform"}.}
}

Lutz Kämmerer, Stefan Kunis, Ines Melzer, Daniel Potts and Toni Volkmer.
Computational methods for the Fourier analysis of sparse high-dimensional functions. In Extraction of quantifiable information from complex systems. Lect. Notes Comput. Sci. Eng. series, volume 102, Springer, Cham, 2014, pages 347–363.
URL, DOI BibTeX

@incollection{KaKuMePoVo14,
	author = {K{\"a}mmerer, Lutz and Kunis, Stefan and Melzer, Ines and Potts, Daniel and Volkmer, Toni},
	title = "Computational methods for the {F}ourier analysis of sparse high-dimensional functions",
	booktitle = "Extraction of quantifiable information from complex systems",
	series = "Lect. Notes Comput. Sci. Eng.",
	volume = 102,
	pages = "347--363",
	publisher = "Springer, Cham",
	year = 2014,
	mrclass = "65T50 (42A10)",
	mrnumber = 3329345,
	doi = "10.1007/978-3-319-08159-5_17",
	url = "http://dx.doi.org/10.1007/978-3-319-08159-5_17"
}

Stefan Kunis and Ines Melzer.
Butterfly Sparse Fast Fourier Transform. Poster, 2014.
URL BibTeX

@misc{KuMe14_Poster,
	author = "Kunis, Stefan and Melzer, Ines",
	title = "Butterfly Sparse Fast Fourier Transform",
	howpublished = "Poster",
	year = 2014,
	url = "/data/publications/paper/poster.pdf"
}

Stefan Kunis and Ines Melzer.
Fast evaluation of real and complex exponential sums. Electron. Trans. Numer. Anal. 46:23-35, 2017.
URL BibTeX

@article{KuMe17,
	author = "Stefan Kunis and Ines Melzer",
	title = "Fast evaluation of real and complex exponential sums",
	journal = "{Electron. Trans. Numer. Anal.}",
	volume = 46,
	year = 2017,
	url = "/data/publications/paper/KuMe16.pdf",
	pages = "23-35"
}

Ines Melzer.
Fast and approximate computation of Laplace and Fourier transforms. Thesis, available at Logos Verlag or as pdf at repOSitorium, Universität Osnabrück, März 2016.
BibTeX

@phdthesis{Me16,
	author = "Ines Melzer",
	title = "{Fast and approximate computation of Laplace and Fourier transforms}",
	type = {Thesis, available at Logos Verlag or as pdf at repOSitorium},
	publisher = "Logos Verlag, Berlin",
	school = "Universität Osnabrück",
	isbn = "978-3-8325-4226-9",
	month = 3,
	year = 2016
}