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@article{DBLP:journals/jcam/HasegawaS24,
author = {Takemitsu Hasegawa and
Hiroshi Sugiura},
title = {An automatic quadrature method for semi-infinite integrals of exponentially
decaying functions and its Matlab code},
journal = {J. Comput. Appl. Math.},
volume = {437},
pages = {115450},
year = {2024},
url = {https://doi.org/10.1016/j.cam.2023.115450},
doi = {10.1016/J.CAM.2023.115450},
timestamp = {Sat, 14 Oct 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcam/HasegawaS24.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/YoshiokaTTYH22,
author = {Hidekazu Yoshioka and
Motoh Tsujimura and
Tomohiro Tanaka and
Yumi Yoshioka and
Ayumi Hashiguchi},
title = {Modeling and computation of an integral operator Riccati equation
for an infinite-dimensional stochastic differential equation governing
streamflow discharge},
journal = {Comput. Math. Appl.},
volume = {126},
pages = {115--148},
year = {2022},
url = {https://doi.org/10.1016/j.camwa.2022.09.009},
doi = {10.1016/J.CAMWA.2022.09.009},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cma/YoshiokaTTYH22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2204-05716,
author = {Hidekazu Yoshioka and
Motoh Tsujimura and
Tomohiro Tanaka and
Yumi Yoshioka and
Ayumi Hashiguchi},
title = {Modeling and computation of an integral operator Riccati equation
for an infinite-dimensional stochastic differential equation governing
streamflow discharge},
journal = {CoRR},
volume = {abs/2204.05716},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2204.05716},
doi = {10.48550/ARXIV.2204.05716},
eprinttype = {arXiv},
eprint = {2204.05716},
timestamp = {Wed, 20 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2204-05716.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cam/DasHPV21,
author = {Anupam Das and
Bipan Hazarika and
Panda Sumati Kumari and
V. Vijayakumar},
title = {An existence result for an infinite system of implicit fractional
integral equations via generalized Darbo's fixed point theorem},
journal = {Comput. Appl. Math.},
volume = {40},
number = {4},
year = {2021},
url = {https://doi.org/10.1007/s40314-021-01537-z},
doi = {10.1007/S40314-021-01537-Z},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cam/DasHPV21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1910-00807,
author = {Hidenori Ogata},
title = {A numerical method of computing Hadamard finite-part integrals with
an integral power singularity at the endpoint on a half infinite interval},
journal = {CoRR},
volume = {abs/1910.00807},
year = {2019},
url = {http://arxiv.org/abs/1910.00807},
eprinttype = {arXiv},
eprint = {1910.00807},
timestamp = {Fri, 04 Oct 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1910-00807.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/HazarikaSAR18,
author = {Bipan Hazarika and
H. M. Srivastava and
Reza Arab and
Mohsen Rabbani},
title = {Existence of solution for an infinite system of nonlinear integral
equations via measure of noncompactness and homotopy perturbation
method to solve it},
journal = {J. Comput. Appl. Math.},
volume = {343},
pages = {341--352},
year = {2018},
url = {https://doi.org/10.1016/j.cam.2018.05.011},
doi = {10.1016/J.CAM.2018.05.011},
timestamp = {Tue, 10 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/HazarikaSAR18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/Kang18,
author = {Hongchao Kang},
title = {Numerical integration of oscillatory Airy integrals with singularities
on an infinite interval},
journal = {J. Comput. Appl. Math.},
volume = {333},
pages = {314--326},
year = {2018},
url = {https://doi.org/10.1016/j.cam.2017.11.009},
doi = {10.1016/J.CAM.2017.11.009},
timestamp = {Thu, 20 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/Kang18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/symmetry/SrivastavaEG18,
author = {Hari M. Srivastava and
Ahmed M. A. El{-}Sayed and
Fatma M. Gaafar},
title = {A Class of Nonlinear Boundary Value Problems for an Arbitrary Fractional-Order
Differential Equation with the Riemann-Stieltjes Functional Integral
and Infinite-Point Boundary Conditions},
journal = {Symmetry},
volume = {10},
number = {10},
pages = {508},
year = {2018},
url = {https://doi.org/10.3390/sym10100508},
doi = {10.3390/SYM10100508},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/symmetry/SrivastavaEG18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/DasHAM17,
author = {Anupam Das and
Bipan Hazarika and
Reza Arab and
Mohammad Mursaleen},
title = {Solvability of the infinite system of integral equations in two variables
in the sequence spaces c\({}_{\mbox{0}}\) and l\({}_{\mbox{1}}\)},
journal = {J. Comput. Appl. Math.},
volume = {326},
pages = {183--192},
year = {2017},
url = {https://doi.org/10.1016/j.cam.2017.05.035},
doi = {10.1016/J.CAM.2017.05.035},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcam/DasHAM17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/appml/Wang15a,
author = {Guotao Wang},
title = {Explicit iteration and unbounded solutions for fractional integral
boundary value problem on an infinite interval},
journal = {Appl. Math. Lett.},
volume = {47},
pages = {1--7},
year = {2015},
url = {https://doi.org/10.1016/j.aml.2015.03.003},
doi = {10.1016/J.AML.2015.03.003},
timestamp = {Fri, 27 Dec 2019 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/appml/Wang15a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/ChenA14,
author = {Ruyun Chen and
Congpei An},
title = {On the evaluation of infinite integrals involving Bessel functions},
journal = {Appl. Math. Comput.},
volume = {235},
pages = {212--220},
year = {2014},
url = {https://doi.org/10.1016/j.amc.2014.03.016},
doi = {10.1016/J.AMC.2014.03.016},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/ChenA14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/toms/RatnanatherKZDL14,
author = {J. Tilak Ratnanather and
Jung H. Kim and
Sirong Zhang and
Anthony M. J. Davis and
Stephen K. Lucas},
title = {Algorithm 935: \texttt{IIPBF}, a \texttt{MATLAB} toolbox for infinite
integral of products of two Bessel functions},
journal = {{ACM} Trans. Math. Softw.},
volume = {40},
number = {2},
pages = {14:1--14:12},
year = {2014},
url = {https://doi.org/10.1145/2508435},
doi = {10.1145/2508435},
timestamp = {Tue, 16 Aug 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/toms/RatnanatherKZDL14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cdc/MironchenkoI14,
author = {Andrii Mironchenko and
Hiroshi Ito},
title = {Integral input-to-state stability of bilinear infinite-dimensional
systems},
booktitle = {53rd {IEEE} Conference on Decision and Control, {CDC} 2014, Los Angeles,
CA, USA, December 15-17, 2014},
pages = {3155--3160},
publisher = {{IEEE}},
year = {2014},
url = {https://doi.org/10.1109/CDC.2014.7039876},
doi = {10.1109/CDC.2014.7039876},
timestamp = {Fri, 04 Mar 2022 13:29:15 +0100},
biburl = {https://dblp.org/rec/conf/cdc/MironchenkoI14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/Mehrem13,
author = {Rami Mehrem},
title = {Analytical evaluation of an infinite integral over four spherical
Bessel functions},
journal = {Appl. Math. Comput.},
volume = {219},
number = {21},
pages = {10506--10509},
year = {2013},
url = {https://doi.org/10.1016/j.amc.2013.04.025},
doi = {10.1016/J.AMC.2013.04.025},
timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/amc/Mehrem13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/ChenW12,
author = {Yi{-}zhou Chen and
Z. X. Wang},
title = {Boundary integral equation method for periodic dissimilar elastic
inclusions in an infinite plate},
journal = {Appl. Math. Comput.},
volume = {218},
number = {17},
pages = {8578--8591},
year = {2012},
url = {https://doi.org/10.1016/j.amc.2012.02.021},
doi = {10.1016/J.AMC.2012.02.021},
timestamp = {Tue, 23 Aug 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/amc/ChenW12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mcm/RzepkaS07,
author = {Beata Rzepka and
Kishin B. Sadarangani},
title = {On solutions of an infinite system of singular integral equations},
journal = {Math. Comput. Model.},
volume = {45},
number = {9-10},
pages = {1265--1271},
year = {2007},
url = {https://doi.org/10.1016/j.mcm.2006.11.006},
doi = {10.1016/J.MCM.2006.11.006},
timestamp = {Wed, 17 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/mcm/RzepkaS07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/toms/DeunC06,
author = {Joris Van Deun and
Ronald Cools},
title = {Algorithm 858: Computing infinite range integrals of an arbitrary
product of bessel functions},
journal = {{ACM} Trans. Math. Softw.},
volume = {32},
number = {4},
pages = {580--596},
year = {2006},
url = {https://doi.org/10.1145/1186785.1186790},
doi = {10.1145/1186785.1186790},
timestamp = {Tue, 16 Aug 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/toms/DeunC06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/Espelid05,
author = {Terje O. Espelid},
title = {Computation of an infinite integral using series acceleration},
journal = {Numer. Algorithms},
volume = {40},
number = {1},
pages = {17--22},
year = {2005},
url = {https://doi.org/10.1007/s11075-005-1514-6},
doi = {10.1007/S11075-005-1514-6},
timestamp = {Sat, 25 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/Espelid05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/JezequelC04,
author = {Fabienne J{\'{e}}z{\'{e}}quel and
Jean Marie Chesneaux},
title = {Computation of an Infinite Integral Using Romberg'S Method},
journal = {Numer. Algorithms},
volume = {36},
number = {3},
pages = {265--283},
year = {2004},
url = {https://doi.org/10.1023/B:NUMA.0000040066.63826.46},
doi = {10.1023/B:NUMA.0000040066.63826.46},
timestamp = {Sat, 25 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/JezequelC04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamrev/Villacampa-Esteve97,
author = {Yolanda Villacampa{-}Esteve and
{\'{A}}ngel Balaguer and
Josep Lluis Us{\'{o}}{-}Dom{\'{e}}nech},
title = {Classroom Note: {A} Study of a Semi-Infinite Integral},
journal = {{SIAM} Rev.},
volume = {39},
number = {3},
pages = {494--495},
year = {1997},
url = {https://doi.org/10.1137/S0036144595286786},
doi = {10.1137/S0036144595286786},
timestamp = {Fri, 16 Apr 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamrev/Villacampa-Esteve97.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/HasegawaS96,
author = {Takemitsu Hasegawa and
Avram Sidi},
title = {An automatic integration procedure for infinite range integrals involving
oscillatory kernels},
journal = {Numer. Algorithms},
volume = {13},
number = {1},
pages = {1--19},
year = {1996},
url = {https://doi.org/10.1007/BF02143123},
doi = {10.1007/BF02143123},
timestamp = {Sat, 25 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/HasegawaS96.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/CecchiP95,
author = {Maria Morandi Cecchi and
E. Pirozzi},
title = {A recursive algorithm by the moments method to evaluate a class of
numerical integrals over an infinite interval},
journal = {Numer. Algorithms},
volume = {10},
number = {1},
pages = {155--165},
year = {1995},
url = {https://doi.org/10.1007/BF02198301},
doi = {10.1007/BF02198301},
timestamp = {Sat, 25 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/CecchiP95.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamrev/Davis94,
author = {A. M. J. Davis},
title = {An Infinite Integral {(J.} Billingham)},
journal = {{SIAM} Rev.},
volume = {36},
number = {1},
pages = {115},
year = {1994},
url = {https://doi.org/10.1137/1036016},
doi = {10.1137/1036016},
timestamp = {Tue, 29 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamrev/Davis94.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamrev/Miller94,
author = {A. R. Miller},
title = {An Infinite Integral of Four Bessel Functions {(M.} L. Glasser)},
journal = {{SIAM} Rev.},
volume = {36},
number = {2},
pages = {285--287},
year = {1994},
url = {https://doi.org/10.1137/1036066},
doi = {10.1137/1036066},
timestamp = {Tue, 29 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamrev/Miller94.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamrev/Billingham93,
author = {John Billingham},
title = {An Infinite Integral},
journal = {{SIAM} Rev.},
volume = {35},
number = {2},
pages = {298},
year = {1993},
url = {https://doi.org/10.1137/1035050},
doi = {10.1137/1035050},
timestamp = {Tue, 29 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamrev/Billingham93.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamrev/Glasser93a,
author = {M. L. Glasser},
title = {An Infinite Integral of Four Bessel Functions},
journal = {{SIAM} Rev.},
volume = {35},
number = {2},
pages = {299},
year = {1993},
url = {https://doi.org/10.1137/1035053},
doi = {10.1137/1035053},
timestamp = {Tue, 29 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamrev/Glasser93a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamrev/X93a,
title = {An Infinite Integral (Quickie)},
journal = {{SIAM} Rev.},
volume = {35},
number = {2},
pages = {307},
year = {1993},
url = {https://doi.org/10.1137/1035057},
doi = {10.1137/1035057},
timestamp = {Tue, 29 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamrev/X93a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamrev/Newberger91,
author = {Barry Newberger},
title = {An Infinite Integral},
journal = {{SIAM} Rev.},
volume = {33},
number = {3},
pages = {473},
year = {1991},
url = {https://doi.org/10.1137/1033106},
doi = {10.1137/1033106},
timestamp = {Tue, 29 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamrev/Newberger91.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/issac/Takayama90a,
author = {Nobuki Takayama},
editor = {Shunro Watanabe and
Morio Nagata},
title = {An Algorithm of Constructing the Integral of a Module - an Infinite
Dimensional Analog of Gr{\"{o}}bner Basis},
booktitle = {Proceedings of the International Symposium on Symbolic and Algebraic
Computation, {ISSAC} '90, Tokyo, Japan, August 20-24, 1990},
pages = {206--211},
publisher = {{ACM}},
year = {1990},
url = {https://doi.org/10.1145/96877.96929},
doi = {10.1145/96877.96929},
timestamp = {Tue, 06 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/issac/Takayama90a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/computing/WimpKG86,
author = {Jet Wimp and
Robert Kline and
Andrew Galardi},
title = {Algorithms based on difference equations of infinite order and the
computation of Laplace-type integrals},
journal = {Computing},
volume = {37},
number = {1},
pages = {1--18},
year = {1986},
url = {https://doi.org/10.1007/BF02252730},
doi = {10.1007/BF02252730},
timestamp = {Thu, 06 Aug 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/computing/WimpKG86.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/dm/Roitman84,
author = {Moshe Roitman},
title = {An infinite family of integral graphs},
journal = {Discret. Math.},
volume = {52},
number = {2-3},
pages = {313--315},
year = {1984},
url = {https://doi.org/10.1016/0012-365X(84)90095-5},
doi = {10.1016/0012-365X(84)90095-5},
timestamp = {Fri, 12 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/dm/Roitman84.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/computing/DonckerP76,
author = {Elise de Doncker and
Robert Piessens},
title = {Algorithm 32 automatic computation of integrals with singular integrand,
over a finite or an infinite range},
journal = {Computing},
volume = {17},
number = {3},
pages = {265--279},
year = {1976},
url = {https://doi.org/10.1007/BF02259651},
doi = {10.1007/BF02259651},
timestamp = {Thu, 06 Aug 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/computing/DonckerP76.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
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