- Berkhout, AJ, 1984. Multidimensional linearized inversion and seismic migration, Geophysics 49 (1984), pp. 1881–1895.
- Levy, B, and Esmersoy, C, 1988. Variable background Born inversion by wavefield back propagation, SIAM Journal on Applied Mathematics 84 (1988), pp. 952–972.
- Torantola, A, 1986. A strategy for nonlinear elastic inversion of seismic reflection data, Geophysics 51 (1986), pp. 1893–1903.
- Pica, A, Tarantola, A, and Diet, JP, 1990. Nonlinear inversion seismic reflection data in a laterally invariant medium, Geophysics 55 (1990), pp. 284–292.
- Wang, SD, Liu, JQ, and Xie, GQ, 1996. 2-D acoustic wave equation inversion combining plane-wave seismograms with well logs, Geophysics 61 (1996), pp. 735–741.
- Yang, WC, 1992. Theory and problem for nonlinear wave equation geophysical inversion, Progress in Geophysics 7 (1992), pp. 9–19.
- Kold, P, Collino, F, and Lailly, P, 1984. Pre-stack inversion of a 1-D medium, Proc. IEEE 74 (1984), pp. 498–508.
- Bunks, C, Saleck, FM, Zaleski, S, and Chavent, G, 1995. Multiscale seismic waveform inversion, Geophysics 60 (1995), pp. 1457–1473.
- Saleck, FM, Bunks, C, Zaleski, C, and Chavent, G, 1993. "Combining the multigrid and gradient methods to solve the seismic inversion problem". In: 63rd Ann. Intern. Mty, Soc. Expl.. 1993. p. pp. 688–691, Geophys. Expanded Abstracts.
- Liu, J, 1993. A multiresolution method for distributed parameter estimation, SIAM Journal on Scientific Computing 14 (1993), pp. 389–405.
- Rieder, A, 1997. A wavelet multigrid method for ill-posed problems stabilized by Tikhonov regularization, Numerical Mathematics 75 (1997), pp. 501–522.
- Allgower, E, and Georg, K, 1990. Numerical Continuation Methods. Berlin. 1990.
- Keller, HB, and Perozzi, DJ, 1983. Fast seismic ray tracing, SIAM Journal on Applied Mathematics 43 (1983), pp. 981–992.
- Vasco, DW, 1994. Singularity and branching: a path-following formalism for geophysical inverse problems, Geophysical Journal International 119 (1994), pp. 809–830.
- Han, B, Shao, JQ, and Guo, BQ, 1994. A widely convergent method for determining the distributed parameters of an elliptical equation, Applied Mathematics and Computation 60 (1994), pp. 139–146.
- Han, B, Zhang, ML, and Liu, JQ, 1997. A widely convergent generalized pulse-spectrum technique for the coefficient inverse problem of differential equations, Applied Mathematics and Computation 81 (1997), pp. 97–112.
- Everett, ME, 1996. Homotopy, polynomial equations, gross boundary data, and small Helmholtz systems, Journal of Computational Physics 124 (1996), pp. 431–441.
- Jegen, MD, Evegrett, ME, and Schultz, A, 2001. Using homotopy to invert geophysical data, Geophysics 66 (2001), pp. 1749–1760.
- Bao, G, and Liu, J, 2003. Numerical solution of inverse scattering problems with multi-experimental limited aperture, SIAM Journal on Scientific Computing 25 (2003), pp. 1102–1117.
- Tikhonov, AN, and Arsenin, VY, 1977. Solution of Ill-posed Problems. New York. 1977.
- Airapetyan, RG, Ramm, AG, and Smirnova, AB, 1999. Continuous analog of the Gauss–Newton method, Mathmatical Models and Methods in Applied Sciences 9 (1999), pp. 463–474.
- Bakushinskii, AB, 1992. The problem of the convergence of the iteratively regularized Gauss–Newton method, Computational Mathematics and Mathematical Physics 32 (1992), pp. 1353–1359.
- Fu, HS, and Han, B, 2004. A wavelet multiscale method for the inverse problems of a two-dimensional wave equation, Inverse Problems in Science and Engineering 12 (2004), pp. 643–656.
- Szarski, J, 1967. Differential Inequalities. Warszawa. 1967.
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