메뉴 건너뛰기




Volumn 64, Issue 210, 1995, Pages 745-762

Computing the hilbert transform on the real line

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84968466771     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1995-1277773-8     Document Type: Article
Times cited : (80)

References (26)
  • 3
    • 84902775564 scopus 로고
    • Internal waves of permanent form in fluids of great depth
    • T. B. Benjamin, Internal waves of permanent form in fluids of great depth, J. Fluid. Mech. 25(1967), 559-592.
    • (1967) J. Fluid. Mech , vol.25 , pp. 559-592
    • Benjamin, T.B.1
  • 5
    • 0001718791 scopus 로고
    • Spectral methods using rational basis functions on an infinite interval
    • J. Boyd, Spectral methods using rational basis functions on an infinite interval, J. Comput. Phys. 69(1987), 112-142.
    • (1987) J. Comput. Phys , vol.69 , pp. 112-142
    • Boyd, J.1
  • 6
    • 0348094750 scopus 로고
    • The orthogonal rational functions ofHiggins and Christov and algebraically mapped Chebyshev polynomials
    • J. Boyd, The orthogonal rational functions ofHiggins and Christov and algebraically mapped Chebyshev polynomials, J. Approx. Theory 61 (1990), 98-105.
    • (1990) J. Approx. Theory , vol.61 , pp. 98-105
    • Boyd, J.1
  • 8
    • 0000265963 scopus 로고
    • A complete orthonormal system of functions in L2(-∞,∞) space, SIAM
    • C. I. Christov, A complete orthonormal system of functions in L2(-∞,∞) space, SIAM J. Appl. Math. 42 (1982), 1337-1344.
    • (1982) J. Appl. Math , vol.42 , pp. 1337-1344
    • Christov, C.I.1
  • 14
    • 84968472754 scopus 로고    scopus 로고
    • Pseudospectral methods for the Benjamin-Ono equation
    • Oregon State Unversity (unpublished)
    • R. James, Pseudospectral methods for the Benjamin-Ono equation, Master's Paper, Oregon State Unversity (unpublished).
    • Master's Paper
    • James, R.1
  • 15
    • 0039596687 scopus 로고
    • Pseudospectral methods for the Benjamin-Ono equation
    • (R. Vichnevetsky, D. Knight, and G. Richter, eds.), IMACS, New Brunswick
    • R. James and J. A. C. Weideman, Pseudospectral methods for the Benjamin-Ono equation, Advances in Computer Methods for Partial Differential Equations-7 (R. Vichnevetsky, D. Knight, and G. Richter, eds.), IMACS, New Brunswick, 1992, pp. 371-377
    • (1992) Advances in Computer Methods for Partial Differential Equations , vol.7 , pp. 371-377
    • James, R.1    Weideman, J.A.2
  • 16
    • 84983962268 scopus 로고
    • Anwendung der Rechteckregel auf die reelle Hilberttransformation mit unendlichem Intervall
    • R. Kress and E. Martensen, Anwendung der Rechteckregel auf die reelle Hilberttransformation mit unendlichem Intervall, Z. Angew. Math. Mech. 50 (1970), T61-T64.
    • (1970) Z. Angew. Math. Mech , vol.50
    • Kress, R.1    Martensen, E.2
  • 17
    • 0016459710 scopus 로고
    • Algebraic solitary waves in stratified fluids
    • Japan
    • H. Ono, Algebraic solitary waves in stratified fluids, J. Phys. Soc. Japan 39 (1975), 1082-1091.
    • (1975) J. Phys. Soc , vol.39 , pp. 1082-1091
    • Ono, H.1
  • 20
    • 0000107982 scopus 로고
    • Approximations via Whittaker's cardinal function
    • F. Stenger, Approximations via Whittaker's cardinal function, J. Approx. Theory 17 (1976), 222-240.
    • (1976) J. Approx. Theory , vol.17 , pp. 222-240
    • Stenger, F.1
  • 21
    • 34250254116 scopus 로고
    • Numerical computation of the Fourier transform using Laguerre functions and the fast Fourier transform, Numer
    • H. Weber, Numerical computation of the Fourier transform using Laguerre functions and the fast Fourier transform, Numer. Math. 36 (1981), 197-209.
    • (1981) Math , vol.36 , pp. 197-209
    • Weber, H.1
  • 22
    • 0001665007 scopus 로고
    • Numerical inversion of Laplace transforms using Laguerre functions
    • W. T. Weeks, Numerical inversion of Laplace transforms using Laguerre functions, J. Assoc. Comput. Mach. 13 (1966), 419-429.
    • (1966) J. Assoc. Comput. Mach , vol.13 , pp. 419-429
    • Weeks, W.T.1
  • 23
    • 0000818701 scopus 로고
    • The eigenvalues of Hermite and rational spectral differentiation matrices, Numer
    • J. A. C. Weideman, The eigenvalues of Hermite and rational spectral differentiation matrices, Numer. Math. 61 (1992), 409-432.
    • (1992) Math , vol.61 , pp. 409-432
    • Weideman, J.1
  • 24
    • 0028516997 scopus 로고
    • Computation of the complex error function
    • J. A. C. Weideman, Computation of the complex error function, SIAM J. Numer. Anal. 31 (1994), 1497-1518.
    • (1994) SIAM J. Numer. Anal , vol.31 , pp. 1497-1518
    • Weideman, J.1
  • 25
    • 84968514626 scopus 로고
    • Computing integrals of the complex error function, Mathematics of Computation
    • 1943-1993: A half-century of computational mathematics (W. Gautschi, ed.)
    • J. A. C. Weideman, Computing integrals of the complex error function, Mathematics of Computation 1943-1993: A half-century of computational mathematics (W. Gautschi, ed.), Proc. Sympos. Appl. Math., vol. 48, 1994, pp. 403-407.
    • (1994) Proc. Sympos. Appl. Math , vol.48 , pp. 403-407
    • Weideman, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.