메뉴 건너뛰기




Volumn 33, Issue 4, 1996, Pages 1266-1302

Construction and analysis of fourth-order finite difference schemes for the acoustic wave equation in nonhomogeneous media

Author keywords

Finite differences; L2 stability; Reflected and transmitted waves; Wave equation

Indexed keywords


EID: 0000996995     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142993246445     Document Type: Article
Times cited : (84)

References (18)
  • 1
    • 0016332370 scopus 로고
    • Accuracy of finite difference modeling of the acoustic wave equation
    • R. M. ALFORD, K. R. KELLY, AND D. M. BOORE, Accuracy of finite difference modeling of the acoustic wave equation, Geophysics, 39 (1974), pp. 834-842.
    • (1974) Geophysics , vol.39 , pp. 834-842
    • Alford, R.M.1    Kelly, K.R.2    Boore, D.M.3
  • 2
    • 0343745171 scopus 로고
    • Etude de schémas numériques pour les équations de l'élasdodynamique linéaire
    • INRIA, Le Chesnay, France
    • A. BAMBERGER, G. CHAVENT, AND P. LAILLY, Etude de schémas numériques pour les équations de l'élasdodynamique linéaire, Rapport RR41, INRIA, Le Chesnay, France, 1980.
    • (1980) Rapport RR41
    • Bamberger, A.1    Chavent, G.2    Lailly, P.3
  • 4
    • 0022767765 scopus 로고
    • A fourth accurate finite difference scheme for the computation of elastic waves
    • A. BAYLISS, K. E. JORDAN, B. LEMESURIER, AND E. TURKEL, A fourth accurate finite difference scheme for the computation of elastic waves, Bull. Seismol. Soc. Amer., 76 (1988), pp. 1115-1132.
    • (1988) Bull. Seismol. Soc. Amer. , vol.76 , pp. 1115-1132
    • Bayliss, A.1    Jordan, K.E.2    Lemesurier, B.3    Turkel, E.4
  • 5
    • 0019924761 scopus 로고
    • Dispersion analysis of finite element semi discretization of the two dimensional wave equation
    • T. BELYTSCHKO AND R. MULLEN, Dispersion analysis of finite element semi discretization of the two dimensional wave equation, Internal. J. Numer. Methods Engrg., 18 (1982), pp. 11-19.
    • (1982) Internal. J. Numer. Methods Engrg. , vol.18 , pp. 11-19
    • Belytschko, T.1    Mullen, R.2
  • 7
    • 84919141004 scopus 로고
    • Schemes, fourth order in time and space, for 2-D elastodynamics equations
    • Anaheim, CA, October 31-November 4
    • _, Schemes, fourth order in time and space, for 2-D elastodynamics equations, in Proc. of the 58th SEG Annual International Meeting, Anaheim, CA, October 31-November 4, 1988.
    • (1988) Proc. of the 58th SEG Annual International Meeting
  • 8
    • 0022928681 scopus 로고
    • The application of high order differencing for the scalar wave equation
    • M. A. DABLAIN, The application of high order differencing for the scalar wave equation, Geophysics, 1 (1986), pp. 54-66.
    • (1986) Geophysics , vol.1 , pp. 54-66
    • Dablain, M.A.1
  • 9
    • 84968486120 scopus 로고
    • Stability theory of difference approximations for mixed initial boundary value problems II
    • B. GUSTAFSSON, H. O. KREISS, AND A. SUNDSTROM, Stability theory of difference approximations for mixed initial boundary value problems II, Math. Comp., 25 (1972), pp. 649-686.
    • (1972) Math. Comp. , vol.25 , pp. 649-686
    • Gustafsson, B.1    Kreiss, H.O.2    Sundstrom, A.3
  • 10
    • 1542610128 scopus 로고
    • New stability criteria for difference approximations of hyperbolic problems
    • M. GOLDBERG AND E. TADMOR, New stability criteria for difference approximations of hyperbolic problems, Lectures in Appl. Math., 22 (1985), pp. 177-192.
    • (1985) Lectures in Appl. Math. , vol.22 , pp. 177-192
    • Goldberg, M.1    Tadmor, E.2
  • 11
    • 1542505577 scopus 로고
    • A Generalized Image Principle for the Wave Equation with Absorbing Boundary Conditions and Applications to Fourth Order Schemes
    • INRIA, Le Chesnay, France
    • T. HA DUONG AND P. JOLY, A Generalized Image Principle for the Wave Equation with Absorbing Boundary Conditions and Applications to Fourth Order Schemes, Rapport RR1333, INRIA, Le Chesnay, France, 1990.
    • (1990) Rapport RR1333
    • Ha Duong, T.1    Joly, P.2
  • 14
    • 84980172444 scopus 로고
    • Initial boundary value problems for hyperbolic systems
    • H. O. KREISS, Initial boundary value problems for hyperbolic systems, Comm. Pure Appl. Math., 23 (1970), pp. 277-298.
    • (1970) Comm. Pure Appl. Math. , vol.23 , pp. 277-298
    • Kreiss, H.O.1
  • 17
    • 0000611937 scopus 로고
    • A modified equation approach to constructing fourth order methods for acoustic wave propagation
    • G. R. SHUBIN AND J. B. BELL, A modified equation approach to constructing fourth order methods for acoustic wave propagation, SIAM J. Sci. Statist. Comput., 2 (1987), pp. 135-151.
    • (1987) SIAM J. Sci. Statist. Comput. , vol.2 , pp. 135-151
    • Shubin, G.R.1    Bell, J.B.2
  • 18
    • 0003243537 scopus 로고
    • Fourier analysis of numerical approximation of hyperbolic equation
    • Society for Industrial and Applied Mathematics, Philadelphia, PA
    • R. VICHNEVETSKY AND J. B. BOWLES, Fourier analysis of numerical approximation of hyperbolic equation, SIAM Studies in Applied Mathemathics, Society for Industrial and Applied Mathematics, Philadelphia, PA, 1982.
    • (1982) SIAM Studies in Applied Mathemathics
    • Vichnevetsky, R.1    Bowles, J.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.