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Volumn 190, Issue 1-2, 2006, Pages 437-452

Hyperasymptotic evaluation of the Pearcey integral via Hadamard expansions

Author keywords

Caustic curve; Hadamard expansions; Hyperasymptotics; Pearcey integral; Stokes set

Indexed keywords

COALESCENCE; COMPUTATION THEORY;

EID: 31944442217     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.01.038     Document Type: Conference Paper
Times cited : (18)

References (14)
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    • Hyperasymptotics for integrals with saddles
    • M.V. Berry, and C.J. Howls Hyperasymptotics for integrals with saddles Proc. Roy. Soc. London A 434 1991 657 675
    • (1991) Proc. Roy. Soc. London A , vol.434 , pp. 657-675
    • Berry, M.V.1    Howls, C.J.2
  • 3
    • 0007029452 scopus 로고
    • A method for the numerical evaluation of the oscillatory integrals associated with the cuspoid catastrophes: Application to Pearcey's integral and its derivatives
    • J.N.L. Connor, and P.R. Curtis A method for the numerical evaluation of the oscillatory integrals associated with the cuspoid catastrophes: application to Pearcey's integral and its derivatives J. Phys. A 15 1982 1179 1190
    • (1982) J. Phys. A , vol.15 , pp. 1179-1190
    • Connor, J.N.L.1    Curtis, P.R.2
  • 5
    • 0002327308 scopus 로고
    • Asymptotic expansion of the Pearcey integral near the caustic
    • D. Kaminski Asymptotic expansion of the Pearcey integral near the caustic SIAM J. Math. Anal. 20 1989 987 1005
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 987-1005
    • Kaminski, D.1
  • 6
  • 7
    • 0004074709 scopus 로고
    • Academic Press New York; reprinted by A.K. Peters Wellesley, Massachussets
    • F.W.J. Olver, Asymptotics and Special Functions, Academic Press 1974, New York; reprinted by A.K. Peters, 1997, Wellesley, Massachussets.
    • (1974) Asymptotics and Special Functions
    • Olver, F.W.J.1
  • 8
    • 0002341808 scopus 로고
    • The asymptotic behaviour of Pearcey's integral for complex variables
    • R.B. Paris The asymptotic behaviour of Pearcey's integral for complex variables Proc. Roy. Soc. London A 432 1991 391 426
    • (1991) Proc. Roy. Soc. London A , vol.432 , pp. 391-426
    • Paris, R.B.1
  • 9
    • 2442426040 scopus 로고    scopus 로고
    • On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals: I. Real variable
    • R.B. Paris On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals: I. Real variable J. Comput. Appl. Math. 167 2004 293 319
    • (2004) J. Comput. Appl. Math. , vol.167 , pp. 293-319
    • Paris, R.B.1
  • 10
    • 17144382795 scopus 로고    scopus 로고
    • Exactification of the method of steepest descents: The Bessel functions of large order and argument
    • R.B. Paris Exactification of the method of steepest descents: the Bessel functions of large order and argument Proc. Roy. Soc. London A 460 2004 2737 2759
    • (2004) Proc. Roy. Soc. London A , vol.460 , pp. 2737-2759
    • Paris, R.B.1
  • 14
    • 0008830482 scopus 로고
    • The Stokes set of the cusp diffraction catastrophe
    • F.J. Wright The Stokes set of the cusp diffraction catastrophe J. Phys. A 13 1980 2913 2928
    • (1980) J. Phys. A , vol.13 , pp. 2913-2928
    • Wright, F.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.