References

• Aki, K., and Richards, P., 1980, Quantitative seismology: Freeman.

• Bishop, T.N., Bube, K.P., Cutler, R.T., Langan, R.T., Love, P.L., Resnick, J.R., Shuey, R.T., Spindler, D.A., and Wyld, H.W., 1985, Tomographic determination of velocity and depth in laterally varying media: Geophysics, 50, 903-923.

• Centrella, J., and Wilson, J., 1984, Planar numerical cosmology. II. The difference equations and numerical tests: Astrophysical Journal Supplement, 54, 229-249.

• Cervený, V., 1987, Ray tracing algorithms in three-dimensional laterally varying layered structures: Seismic Tomography, edited by G. Nolet, Riedel Publishing Company, 99-134.

• Crandall, G., and Lions, P., 1984, Two approximations of solutions of Hamilton-Jacobi equations: Math. Comp., 43, 1-19

• Dines, K.A., and Lytle, R.J., 1979, Computerized geophysical tomography: Proc. IEEE, 67, 1065-1073.

• Engquist, B., and Osher, S., 1980, Stable and entropy satisfying approximations for transonic flow calculations: Math. Comp., 34, no. 149, 45-75.

• Gray, S., 1986, Efficient traveltime calculations for Kirchhoff migration: Geophysics, 51, 1685-1688.

• Harten, A., Engquist, B., Osher, S., and Chakravarthy, J., 1987, Uniformly high order accurate essentially non-oscillatory schemes, III: J. Comput. Phys., 71, 231-303.

• Hawley, J., Smarr, L., and Wilson, J., 1984, A numerical study of nonspherical black hole accretion. II. finite differencing and code calibration: Astrophysical Journal Supplement, 55, 211-246.

• Lax, P., 1973, Hyperbolic systems of conservation laws and mathematical theory of shock waves: Reg. Conf. Series in Applied Math.

• Nolet, G., 1987, ed., Seismic tomography: D. Reidel Publ. Co.

• Reshef, M., and Kosloff, D., 1986, Migration of common shot gathers: Geophysics, 51, 324-331.

• Roache, P., 1976, Computational fluid dynamics: Hermosa, Albuquerque, New Mexico.

• Santosa, F., and Symes, W.W., 1989, An analysis of least-squares velocity inversion: SEG Geophysical Monograph Series, 4.

• Van Trier, 1989, Migration-velocity analysis using geological constraints: presented at the 59th annual SEG meeting, New Orleans.

• Vidale, J., 1988, Finite-difference calculation of traveltimes: Bull., Seis. Soc. Am., 78, no. 6, 2062-2076.

• Vidale, J., 1989, Rapid calculation of seismic amplitudes: submitted to Geophysics.

• Vidale, J., and Ammon, C., 1989, Efficient seismic traveltime and amplitude calculations and application to velocity inversion and migration: presented at the 1989 Fall Meeting of the AGU, San Francisco.