메뉴 건너뛰기




Volumn 31, Issue 9, 1996, Pages 63-70

A note on the tau-method approximations for the Bessel functions Y0(z) and Y1(z)

Author keywords

Automated method; Bessel functions; Chebyshev series; Symbolic Faber polynomials

Indexed keywords

CHEBYSHEV APPROXIMATION; FUNCTIONS; NUMERICAL METHODS; PERTURBATION TECHNIQUES; POLYNOMIALS;

EID: 0030150294     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/0898-1221(96)00043-0     Document Type: Article
Times cited : (4)

References (26)
  • 3
    • 84968466647 scopus 로고
    • Explicit faber polynomials on circular sectors
    • K. Gatermann, C. Hoffmann and G. Opfer, Explicit Faber polynomials on circular sectors, Math. Comp. 58, 241-253, (1992).
    • (1992) Math. Comp. , vol.58 , pp. 241-253
    • Gatermann, K.1    Hoffmann, C.2    Opfer, G.3
  • 4
    • 24244432656 scopus 로고
    • Supplement to explicit faber polynomials on circular sectors
    • K. Gatermann, C. Hoffmann and G. Opfer, Supplement to explicit Faber polynomials on circular sectors, Math. Comp. 58, S1-S6, (1992).
    • (1992) Math. Comp. , vol.58
    • Gatermann, K.1    Hoffmann, C.2    Opfer, G.3
  • 5
    • 84966236586 scopus 로고
    • Faber polynomials for circular sectors
    • J.P. Coleman and R.A. Smith, Faber polynomials for circular sectors, Math. Comp. 49, 231-241, (1987).
    • (1987) Math. Comp. , vol.49 , pp. 231-241
    • Coleman, J.P.1    Smith, R.A.2
  • 6
    • 84968495212 scopus 로고
    • Supplement to faber polynomials for circular sectors
    • J.P. Coleman and R.A. Smith, Supplement to Faber polynomials for circular sectors, Math. Comp. 49, S1-S4, (1987).
    • (1987) Math. Comp. , vol.49
    • Coleman, J.P.1    Smith, R.A.2
  • 7
    • 84968480356 scopus 로고
    • The faber polynomials for annular sectors
    • J.P. Coleman and N.J. Myers, The Faber polynomials for annular sectors, Math. Comp. 64, 181-203, (1995).
    • (1995) Math. Comp. , vol.64 , pp. 181-203
    • Coleman, J.P.1    Myers, N.J.2
  • 8
    • 85029978591 scopus 로고
    • Supplement to the faber polynomials for annular sectors
    • J.P. Coleman and N.J. Myers, Supplement to the Faber polynomials for annular sectors, Math. Comp. 64, S1-S6, (1995).
    • (1995) Math. Comp. , vol.64
    • Coleman, J.P.1    Myers, N.J.2
  • 10
    • 1642281513 scopus 로고
    • A numerical method for the computation of faber polynomials for starlike domains
    • N. Papamichael, M.J. Soares and N.S. Stylianopoulos, A numerical method for the computation of Faber polynomials for starlike domains, IMA J. Numer. Anal. 13, 181-193, (1993).
    • (1993) IMA J. Numer. Anal. , vol.13 , pp. 181-193
    • Papamichael, N.1    Soares, M.J.2    Stylianopoulos, N.S.3
  • 11
    • 0000854079 scopus 로고
    • A study of semiiterative methods for non-symmetric systems of linear equations
    • M. Eiermann, W. Niethammer and R.S. Varga, A study of semiiterative methods for non-symmetric systems of linear equations, Numer. Math. 47, 505-533, (1985).
    • (1985) Numer. Math. , vol.47 , pp. 505-533
    • Eiermann, M.1    Niethammer, W.2    Varga, R.S.3
  • 12
    • 0000714087 scopus 로고
    • On semiiterative methods generated by faber polynomials
    • M. Eiermann, On semiiterative methods generated by Faber polynomials, Numer. Math. 56, 139-156, (1989).
    • (1989) Numer. Math. , vol.56 , pp. 139-156
    • Eiermann, M.1
  • 13
    • 21144469327 scopus 로고
    • A hybrid arnoldi-faber iterative method for nonsymmetric systems of linear equations
    • G. Stark and R.S. Varga, A hybrid Arnoldi-Faber iterative method for nonsymmetric systems of linear equations, Numer. Math. 64, 213-240, (1993).
    • (1993) Numer. Math. , vol.64 , pp. 213-240
    • Stark, G.1    Varga, R.S.2
  • 14
    • 84968475567 scopus 로고
    • A faber series approach to cardinal interpolation
    • C.K. Chui, J. Stöckler and J.D. Ward, A Faber series approach to cardinal interpolation, Math. Comp. 58, 255-273, (1992).
    • (1992) Math. Comp. , vol.58 , pp. 255-273
    • Chui, C.K.1    Stöckler, J.2    Ward, J.D.3
  • 16
    • 84966244685 scopus 로고
    • Computation of faber series with application to numerical polynomial approximation in the complex plane
    • S.W. Ellacott, Computation of Faber series with application to numerical polynomial approximation in the complex plane, Math. Comp. 40, 575-587, (1983).
    • (1983) Math. Comp. , vol.40 , pp. 575-587
    • Ellacott, S.W.1
  • 17
    • 0043059450 scopus 로고
    • On clenshaw's method and a generalization to faber series
    • S.W. Ellacott, On Clenshaw's method and a generalization to Faber series, Numer. Math. 52, 499-509, (1988).
    • (1988) Numer. Math. , vol.52 , pp. 499-509
    • Ellacott, S.W.1
  • 18
    • 0023346295 scopus 로고
    • Polynomial approximations in the complex plane
    • J.P. Coleman, Polynomial approximations in the complex plane, J. Comp. Appl. Math. 18, 193-211, (1987).
    • (1987) J. Comp. Appl. Math. , vol.18 , pp. 193-211
    • Coleman, J.P.1
  • 19
    • 0022812925 scopus 로고
    • Complex polynomial approximations by the lanczos τ-method: Dawson's integral
    • J.P. Coleman, Complex polynomial approximations by the Lanczos τ-method: Dawson's integral, J. Comp. Appl. Math. 20, 137-151, (1987).
    • (1987) J. Comp. Appl. Math. , vol.20 , pp. 137-151
    • Coleman, J.P.1
  • 20
    • 0042057737 scopus 로고
    • On the faber transformation and efficient numerical rational approximation
    • S.W. Ellacot, On the Faber transformation and efficient numerical rational approximation, SIAM J. Numer. Anal. 20, 989-1000, (1983).
    • (1983) SIAM J. Numer. Anal. , vol.20 , pp. 989-1000
    • Ellacot, S.W.1
  • 23
    • 0042558607 scopus 로고
    • Preprint, Department of Mathematics, The University of Queensland, Australia
    • n(z) with complex argument, Preprint, Department of Mathematics, The University of Queensland, Australia, (1992).
    • (1992) n(z) with Complex Argument
    • Belward, J.A.1    Zhang, J.2
  • 24
    • 0013455464 scopus 로고
    • Chebyshev series for mathematical functions
    • HMSO London
    • C.W. Clenshaw, Chebyshev series for mathematical functions, NPL Mathematical Tables 5, HMSO London, (1962).
    • (1962) Npl Mathematical Tables , vol.5
    • Clenshaw, C.W.1
  • 25
    • 0042057736 scopus 로고
    • The lanczos tau-method
    • J.P. Coleman, The Lanczos tau-method, J. Inst. Math. Appl. 17, 85-97, (1976).
    • (1976) J. Inst. Math. Appl. , vol.17 , pp. 85-97
    • Coleman, J.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.