Lederman, Roy R Numerical Algorithms for the Computation of Generalized Prolate Spheroidal Functions Technical Report 2017. Abstract | Links | BibTeX | Tags: Algorithms, cryo-EM, Fourier Transform, Numerical Analysis, Prolate, Slepian, Software @techreport{lederman_numerical_2017,
title = {Numerical Algorithms for the Computation of Generalized Prolate Spheroidal Functions},
author = {Roy R Lederman},
url = {https://arxiv.org/abs/1710.02874v1},
year = {2017},
date = {2017-10-01},
urldate = {2020-08-13},
abstract = {Generalized Prolate Spheroidal Functions (GPSF) are the eigenfunctions of the
truncated Fourier transform, restricted to D-dimensional balls in the spatial
domain and frequency domain. Despite their useful properties in many
applications, GPSFs are often replaced by crude approximations. The purpose of
this paper is to review the elements of computing GPSFs and associated
eigenvalues. This paper is accompanied by open-source code.},
keywords = {Algorithms, cryo-EM, Fourier Transform, Numerical Analysis, Prolate, Slepian, Software},
pubstate = {published},
tppubtype = {techreport}
}
Generalized Prolate Spheroidal Functions (GPSF) are the eigenfunctions of the
truncated Fourier transform, restricted to D-dimensional balls in the spatial
domain and frequency domain. Despite their useful properties in many
applications, GPSFs are often replaced by crude approximations. The purpose of
this paper is to review the elements of computing GPSFs and associated
eigenvalues. This paper is accompanied by open-source code. |
Lederman, Roy R; Rokhlin, V On the Analytical and Numerical Properties of the Truncated Laplace Transform. Part II Journal Article SIAM Journal on Numerical Analysis, 54 (2), pp. 665–687, 2016, ISSN: 0036-1429, 1095-7170. Links | BibTeX | Tags: Algorithms, Laplace Transform, Numerical Analysis @article{lederman_analytical_2016,
title = {On the Analytical and Numerical Properties of the Truncated Laplace Transform. Part II},
author = {Roy R Lederman and V Rokhlin},
url = {http://epubs.siam.org/doi/10.1137/15M1028583},
doi = {10.1137/15M1028583},
issn = {0036-1429, 1095-7170},
year = {2016},
date = {2016-01-01},
urldate = {2020-08-13},
journal = {SIAM Journal on Numerical Analysis},
volume = {54},
number = {2},
pages = {665--687},
keywords = {Algorithms, Laplace Transform, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
Lederman, Roy R; Rokhlin, V On the Analytical and Numerical Properties of the Truncated Laplace Transform I. Journal Article SIAM Journal on Numerical Analysis, 53 (3), pp. 1214–1235, 2015, ISSN: 0036-1429, 1095-7170. Links | BibTeX | Tags: Algorithms, Laplace Transform, Numerical Analysis @article{lederman_analytical_2015,
title = {On the Analytical and Numerical Properties of the Truncated Laplace Transform I.},
author = {Roy R Lederman and V Rokhlin},
url = {http://epubs.siam.org/doi/10.1137/140990681},
doi = {10.1137/140990681},
issn = {0036-1429, 1095-7170},
year = {2015},
date = {2015-01-01},
urldate = {2020-08-13},
journal = {SIAM Journal on Numerical Analysis},
volume = {53},
number = {3},
pages = {1214--1235},
keywords = {Algorithms, Laplace Transform, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
Lederman, Roy R On the Analytical and Numerical Properties of the Truncated Laplace Transform Technical Report Yale CS (YALEU/DCS/TR-1490), 2014. BibTeX | Tags: Algorithms, Laplace Transform, Numerical Analysis @techreport{lederman_analytical_2014,
title = {On the Analytical and Numerical Properties of the Truncated Laplace Transform},
author = {Roy R Lederman},
year = {2014},
date = {2014-01-01},
number = {YALEU/DCS/TR-1490},
pages = {82},
institution = {Yale CS},
keywords = {Algorithms, Laplace Transform, Numerical Analysis},
pubstate = {published},
tppubtype = {techreport}
}
|
