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Volumn , Issue , 2013, Pages 175-182

Multiple-precision evaluation of the Airy Ai function with reduced cancellation

Author keywords

algorithm; arbitrary precision; asymptotics; correct rounding; error bounds; Miller method; numerical evaluation; Special functions

Indexed keywords

ARBITRARY PRECISION; ASYMPTOTICS; CORRECT ROUNDING; ERROR BOUND; MILLER METHOD; NUMERICAL EVALUATION; SPECIAL FUNCTIONS;

EID: 84881257549     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ARITH.2013.33     Document Type: Conference Paper
Times cited : (5)

References (21)
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    • S. Chevillard, The functions erf and erfc computed with arbitrary precision and explicit error bounds, Information and Computation 216 (2012), 72-95.
    • (2012) Information and Computation , vol.216 , pp. 72-95
    • Chevillard, S.1
  • 6
    • 34547422405 scopus 로고    scopus 로고
    • MPFR: A multiple-precision binary floating-point library with correct rounding
    • L. Fousse, G. Hanrot, V. Lefèvre, P. Pélissier, and P. Zimmermann, MPFR: A multiple-precision binary floating-point library with correct rounding, ACM TOMS 33 (2007), no. 2, 13:1-13:15.
    • (2007) ACM TOMS , vol.33 , Issue.2
    • Fousse, L.1    Hanrot, G.2    Lefèvre, V.3    Pélissier, P.4    Zimmermann, P.5
  • 7
    • 55549132651 scopus 로고    scopus 로고
    • Reduced cancellation in the evaluation of entire functions and applications to the error function
    • W. Gawronski, J. Müller, and M. Reinhard, Reduced cancellation in the evaluation of entire functions and applications to the error function, SIAM Journal on Numerical Analysis 45 (2007), no. 6, 2564-2576.
    • (2007) SIAM Journal on Numerical Analysis , vol.45 , Issue.6 , pp. 2564-2576
    • Gawronski, W.1    Müller, J.2    Reinhard, M.3
  • 13
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    • On the number of nonscalar multiplications necessary to evaluate polynomials
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    • (1973) SIAM Journal on Computing , vol.2 , Issue.1 , pp. 60-66
    • Paterson, M.S.1    Stockmeyer, L.J.2
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    • D. M. Smith, Efficient multiple-precision evaluation of elementary functions, Mathematics of Computation 52 (1989), no. 185, 131-134.
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    • Smith, D.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.