메뉴 건너뛰기




Volumn 48, Issue 3, 1999, Pages 307-317

Comparison of four software packages applied to a scattering problem

Author keywords

Boundary collocation; CADNA; Grating; Interval arithmetic; PROFIL; Rayleigh ansatz; Stochastic arithmetic

Indexed keywords


EID: 0347022331     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-4754(99)00003-8     Document Type: Article
Times cited : (3)

References (26)
  • 1
    • 0345899287 scopus 로고
    • Comparison of Four Computer Arithmetics through their Use in the Numerical Solution of Scattering Problems
    • Department of Mathematical Modelling, Technical University of Denmark
    • N.C. Albertsen, J.-M. Chesneaux, S. Christiansen, A. Wirgin, Comparison of Four Computer Arithmetics through their Use in the Numerical Solution of Scattering Problems, Department of Mathematical Modelling, Technical University of Denmark, Technical Report IMM-REP-1995-25 (1995).
    • (1995) Technical Report IMM-REP-1995-25
    • Albertsen, N.C.1    Chesneaux, J.-M.2    Christiansen, S.3    Wirgin, A.4
  • 5
    • 0003244710 scopus 로고
    • Study of the computing accuracy by using probabilistic approach
    • C. Ulrich (Ed.), J.C. Baltzer AG Scientific Publishing Co., IMACS
    • J.M. Chesneaux, Study of the computing accuracy by using probabilistic approach, in: C. Ulrich (Ed.), Contribution to Computer Arithmetic and Self-Validating Numerical Methods, J.C. Baltzer AG Scientific Publishing Co., IMACS, 1990, pp. 1-30.
    • (1990) Contribution to Computer Arithmetic and Self-Validating Numerical Methods , pp. 1-30
    • Chesneaux, J.M.1
  • 8
    • 0000341565 scopus 로고
    • Les fondements de l'arithmétique stochastique
    • J.M. Chesneaux, J. Vignes, Les fondements de l'arithmétique stochastique, C. R. Acad. Sci. Paris I 315 (1992) 1435-1440.
    • (1992) C. R. Acad. Sci. Paris I , vol.315 , pp. 1435-1440
    • Chesneaux, J.M.1    Vignes, J.2
  • 9
    • 0000060945 scopus 로고
    • L'algorithm de Gauss en arithmétique stochastique
    • J.M. Chesneaux, J. Vignes, L'algorithm de Gauss en arithmétique stochastique, C. R. Acad. Sci. Paris II 316 (1993) 171-176.
    • (1993) C. R. Acad. Sci. Paris II , vol.316 , pp. 171-176
    • Chesneaux, J.M.1    Vignes, J.2
  • 10
    • 0027933249 scopus 로고
    • Reflection from a corrugated surface revisited
    • J.M. Chesneaux, A. Wirgin, Reflection from a corrugated surface revisited, J. Acoust. Soc. Am. 96 (1994) 1116-1129.
    • (1994) J. Acoust. Soc. Am. , vol.96 , pp. 1116-1129
    • Chesneaux, J.M.1    Wirgin, A.2
  • 11
    • 0002402851 scopus 로고
    • The effective condition number applied to error analysis of certain boundary collocation methods
    • S. Christiansen, P.C. Hansen, The effective condition number applied to error analysis of certain boundary collocation methods, J. Comput. Appl. Math. 54 (1994) 15-36.
    • (1994) J. Comput. Appl. Math. , vol.54 , pp. 15-36
    • Christiansen, S.1    Hansen, P.C.2
  • 12
    • 0030270325 scopus 로고    scopus 로고
    • On a misconception involving point collocation and the Rayleigh hypothesis
    • S. Christiansen, R.E. Kleinman, On a misconception involving point collocation and the Rayleigh hypothesis, IEEE Trans. Antennas Propagat. 44 (1996) 1309-1316.
    • (1996) IEEE Trans. Antennas Propagat. , vol.44 , pp. 1309-1316
    • Christiansen, S.1    Kleinman, R.E.2
  • 13
    • 0347790610 scopus 로고
    • Using interval methods to investigate a point collocation method for solving PDE-boundary value problems
    • L. Atanassova, J. Herzberger (Eds.), Proceedings of the Third International IMACS-GAMM Symposium on Computer Arithmetic and Scientific Computing, North-Holland/Elsevier, Amsterdam
    • S. Christiansen, P.W. Pedersen, Using interval methods to investigate a point collocation method for solving PDE-boundary value problems, in: L. Atanassova, J. Herzberger (Eds.), Computer Arithmetic and Enclosure Methods, Proceedings of the Third International IMACS-GAMM Symposium on Computer Arithmetic and Scientific Computing, North-Holland/Elsevier, Amsterdam, 1992, pp. 351-360.
    • (1992) Computer Arithmetic and Enclosure Methods , pp. 351-360
    • Christiansen, S.1    Pedersen, P.W.2
  • 14
    • 0001292188 scopus 로고
    • PROFIL/BIAS - A fast interval library
    • O. Knüppel, PROFIL/BIAS - a fast interval library, Computing 53 (1994) 277-287.
    • (1994) Computing , vol.53 , pp. 277-287
    • Knüppel, O.1
  • 15
    • 0023541981 scopus 로고
    • Review of application of boundary collocation methods in mechanics of continuous media
    • J.A. Kolodziej, Review of application of boundary collocation methods in mechanics of continuous media, Solid Mech. Arch. 12 (1987) 187-231.
    • (1987) Solid Mech. Arch. , vol.12 , pp. 187-231
    • Kolodziej, J.A.1
  • 17
    • 0347790663 scopus 로고
    • MATLAB: MATLAB User's Guide & MATLAB Reference Guide
    • Natick, MA
    • MATLAB: MATLAB User's Guide & MATLAB Reference Guide, The MathWorks, Natick, MA, 1992.
    • (1992) The MathWorks
  • 19
    • 0001373668 scopus 로고
    • Sur la diffraction d'une onde plane par un réseau infiniment conducteur
    • R. Petit, M. Cadilhac, Sur la diffraction d'une onde plane par un réseau infiniment conducteur, C. R. Acad. Sci. Paris 262 (1966) 468-471.
    • (1966) C. R. Acad. Sci. Paris , vol.262 , pp. 468-471
    • Petit, R.1    Cadilhac, M.2
  • 20
    • 0018046614 scopus 로고
    • New methods for evaluating the validity of the results of mathematical computation
    • J. Vignes, New methods for evaluating the validity of the results of mathematical computation, Math. Comput. Simul. 20 (1978) 227-249.
    • (1978) Math. Comput. Simul. , vol.20 , pp. 227-249
    • Vignes, J.1
  • 22
    • 0009357109 scopus 로고
    • Estimation de la précision des résultats de logiciels numériques, la Vie des Sciences
    • J. Vignes, Estimation de la précision des résultats de logiciels numériques, La Vie des Sciences, C. R. Acad. Sci., Série Générale 7 (1990) 93-115.
    • (1990) C. R. Acad. Sci., Série Générale , vol.7 , pp. 93-115
    • Vignes, J.1
  • 23
    • 38249002969 scopus 로고
    • A stochastic arithmetic for reliable scientific computation
    • J. Vignes, A stochastic arithmetic for reliable scientific computation, Math. Comput. Simul. 35 (1993) 233-261.
    • (1993) Math. Comput. Simul. , vol.35 , pp. 233-261
    • Vignes, J.1
  • 24
    • 0019047043 scopus 로고
    • Reflection from a corrugated surface
    • A. Wirgin, Reflection from a corrugated surface, J. Acoust. Soc. Am. 68 (1980) 692-699.
    • (1980) J. Acoust. Soc. Am. , vol.68 , pp. 692-699
    • Wirgin, A.1
  • 25
    • 0013147497 scopus 로고
    • On Rayleigh's theory of sinusoidal diffraction gratings
    • A. Wirgin, On Rayleigh's theory of sinusoidal diffraction gratings, Opt. Acta 27 (1980) 1671-1692.
    • (1980) Opt. Acta , vol.27 , pp. 1671-1692
    • Wirgin, A.1
  • 26
    • 0042690077 scopus 로고
    • Reflection by a grating: Rayleigh methods: comments
    • A. Wirgin, Reflection by a grating: Rayleigh methods: comments, J. Opt. Soc. Am. 72 (1982) 963-969.
    • (1982) J. Opt. Soc. Am. , vol.72 , pp. 963-969
    • Wirgin, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.