{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,7]],"date-time":"2025-10-07T11:54:43Z","timestamp":1759838083693,"version":"3.41.0"},"reference-count":13,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2002,5,1]],"date-time":"2002-05-01T00:00:00Z","timestamp":1020211200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2002,5,1]],"date-time":"2002-05-01T00:00:00Z","timestamp":1020211200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Numerical Algorithms"],"published-print":{"date-parts":[[2002,5]]},"DOI":"10.1023\/a:1015636825525","type":"journal-article","created":{"date-parts":[[2002,12,29]],"date-time":"2002-12-29T19:13:07Z","timestamp":1041189187000},"page":"11-23","source":"Crossref","is-referenced-by-count":19,"title":["Computing Complex Airy Functions by Numerical Quadrature"],"prefix":"10.1007","volume":"30","author":[{"given":"Amparo","family":"Gil","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Javier","family":"Segura","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nico M.","family":"Temme","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"397515_CR1","series-title":"National Bureau of Standards Applied Mathematics Series","volume-title":"Handbook of Mathematical Functions","year":"1964","unstructured":"M. Abramowitz and I.A. Stegun (eds.), Handbook of Mathematical Functions, National Bureau of Standards Applied Mathematics Series No. 55 (US Government Printing Office, Washington, DC, 1964)."},{"key":"397515_CR2","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1145\/7921.214331","volume":"12","author":"D.E. Amos","year":"1986","unstructured":"D.E. Amos, Algorithm 644: A portable package for Bessel functions of a complex argument and nonnegative order, ACM Trans. Math. Softw. 12 (1986) 265-273.","journal-title":"ACM Trans. Math. Softw."},{"key":"397515_CR3","doi-asserted-by":"crossref","first-page":"106","DOI":"10.1016\/0021-9991(92)90279-8","volume":"99","author":"R.M. Corless","year":"1992","unstructured":"R.M. Corless, D.J. Jeffrey and H. Rasmussen, Numerical evaluation of Airy functions with complex arguments, J. Comput. Phys. 99 (1992) 106-114.","journal-title":"J. Comput. Phys."},{"key":"397515_CR4","doi-asserted-by":"crossref","first-page":"110","DOI":"10.1023\/A:1021974203359","volume":"42","author":"W. Gautschi","year":"2002","unstructured":"W. Gautschi, Computation of Bessel and Airy functions and of related Gaussian quadrature, BIT 42 (2002) 110-118.","journal-title":"BIT"},{"key":"397515_CR5","doi-asserted-by":"crossref","first-page":"1183","DOI":"10.1090\/S0025-5718-00-01268-0","volume":"70","author":"A. Gil","year":"2001","unstructured":"A. Gil, J. Segura and N.M. Temme, On non-oscillating integrals for computing inhomogeneous Airy functions, Math. Comput. 70 (2001) 1183-1194.","journal-title":"Math. Comput."},{"key":"397515_CR6","unstructured":"A. Gil, J. Segura and N.M. Temme, AiZ: a Fortran program for the computation of complex Airy functions (submitted)."},{"key":"397515_CR7","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1017\/S0305004100024786","volume":"45","author":"E.T. Goodwin","year":"1949","unstructured":"E.T. Goodwin, The evaluation of integrals of the form \n$$\\smallint _{ - \\infty }^\\infty  f(x){\\text{e}}^{ - x^2 } {\\text{d}}x$$\n, Cambridge Phil. Soc. Proc. 45 (1949) 241-245.","journal-title":"Cambridge Phil. Soc. Proc."},{"key":"397515_CR8","doi-asserted-by":"crossref","unstructured":"D.W. Lozier and F.W.J. Olver, Numerical evaluation of special functions, in: AMS Proceedings of Symposia in Applied Mathematics, Vol. 48, ed. W. Gautschi (1994) pp. 79-125.","DOI":"10.1090\/psapm\/048\/1314844"},{"key":"397515_CR9","volume-title":"The Special Functions and Their Approximations, Vol. I-II","author":"Y.L. Luke","year":"1969","unstructured":"Y.L. Luke, The Special Functions and Their Approximations, Vol. I-II (Academic Press, New York, 1969)."},{"key":"397515_CR10","volume-title":"Asymptotics and Special Functions","author":"F.W.J. Olver","year":"1974","unstructured":"F.W.J. Olver, Asymptotics and Special Functions (Academic Press, New York, 1974, reprinted by A.K. Peters, 1997)."},{"key":"397515_CR11","doi-asserted-by":"crossref","first-page":"60","DOI":"10.1016\/0021-9991(79)90062-7","volume":"31","author":"Z. Schulten","year":"1979","unstructured":"Z. Schulten, D.G.M. Anderson and R.G. Gordon, An algorithm for the evaluation of complex Airy functions, J. Comput. Phys. 31 (1979) 60-75.","journal-title":"J. Comput. Phys."},{"key":"397515_CR12","doi-asserted-by":"crossref","DOI":"10.1002\/9781118032572","volume-title":"Special Functions: An Introduction to the Classical Functions of Mathematical Physics","author":"N.M. Temme","year":"1996","unstructured":"N.M. Temme, Special Functions: An Introduction to the Classical Functions of Mathematical Physics (Wiley, New York, 1996)."},{"key":"397515_CR13","volume-title":"Asymptotic Approximations of Integrals","author":"R. Wong","year":"1989","unstructured":"R. Wong, Asymptotic Approximations of Integrals (Academic Press, New York, 1989)."}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1015636825525.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1015636825525\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1015636825525.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,7]],"date-time":"2025-07-07T07:20:23Z","timestamp":1751872823000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1015636825525"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,5]]},"references-count":13,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2002,5]]}},"alternative-id":["397515"],"URL":"https:\/\/doi.org\/10.1023\/a:1015636825525","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"type":"print","value":"1017-1398"},{"type":"electronic","value":"1572-9265"}],"subject":[],"published":{"date-parts":[[2002,5]]}}}