Linear and Nonlinear Inverse Problems
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[1] R. Snieder,et al. Correlation between shear wave upper mantle structure and tectonic surface expressions: Application to central and southern Germany , 1996 .
[2] John H. Woodhouse,et al. Mapping the upper mantle: Three‐dimensional modeling of earth structure by inversion of seismic waveforms , 1984 .
[3] M. Cara. Regional variations of higher Rayleigh-mode phase velocities: a spatial-filtering method , 1978 .
[4] René Marklein,et al. Three-dimensional imaging system based on Fourier transform synthetic aperture focusing technique , 1990 .
[5] Jeannot Trampert,et al. Simultaneous iterative reconstruction technique: Physical interpretation based on the generalized least squares solution , 1990 .
[6] G. Nolet. The upper mantle under Western Europe inferred from the dispersion of Rayleigh modes , 1977 .
[7] Roel Snieder,et al. Model Estimations Biased by Truncated Expansions: Possible Artifacts in Seismic Tomography , 1996, Science.
[8] R. Parker,et al. Occam's inversion; a practical algorithm for generating smooth models from electromagnetic sounding data , 1987 .
[9] R. Snieder,et al. Surface wave waveform inversions for local shear‐wave velocities under eastern Australia , 1997 .
[10] Roel Snieder,et al. PERTURBATION THEORY FOR TRAVEL TIMES , 1995 .
[11] D. L. Anderson,et al. Preliminary reference earth model , 1981 .
[12] H. Takeuchi,et al. Seismic Surface Waves , 1972 .
[13] R. Parker. Geophysical Inverse Theory , 1994 .
[14] M. Gerver,et al. Determination of a Seismic Wave Velocity from the Travel-Time Curve , 1966 .
[15] Guust Nolet,et al. Linearized Inversion of (Teleseismic) Data , 1981 .
[16] Klaus Mosegaard,et al. Resolution analysis of general inverse problems through inverse Monte Carlo sampling , 1998 .
[17] Robert D. van der Hilst,et al. Travel-time tomography of the European-Mediterranean mantle down to 1400 km , 1993 .
[18] R. Snieder,et al. Linearized scattering of surface waves on a spherical earth , 1987 .
[19] R. Snieder,et al. Using differential waveform data to retrieve local S velocity structure or path‐averaged S velocity gradients , 1995 .
[20] Roel Snieder,et al. The stability of one-dimensional inverse scattering , 1994 .
[21] Roel Snieder,et al. Large-scale waveform inversions of surface waves for lateral heterogeneity , 1988 .
[22] A. Messiah. Quantum Mechanics , 1961 .
[23] G. Nolet. Partitioned waveform inversion and two‐dimensional structure under the network of autonomously recording seismographs , 1990 .
[24] G. Nolet,et al. Seismic wave propagation and seismic tomography , 1987 .
[25] R. Snieder. 3-D linearized scattering of surface waves and a formalism for surface wave holography , 1986 .
[26] Roel Snieder,et al. What is noise , 1998 .
[27] A. Tarantola,et al. Inverse problems = Quest for information , 1982 .
[28] Guust Nolet,et al. Seismic tomography : with applications in global seismology and exploration geophysics , 1987 .
[29] R. Snieder. A perturbative analysis of non-linear inversion , 1990 .
[30] Kenneth Levenberg. A METHOD FOR THE SOLUTION OF CERTAIN NON – LINEAR PROBLEMS IN LEAST SQUARES , 1944 .
[31] M. Sambridge,et al. Genetic algorithms in seismic waveform inversion , 1992 .
[32] Ari Ben-Menahem,et al. Seismic waves and sources , 1981 .
[33] E. R. Engdahl,et al. Evidence for deep mantle circulation from global tomography , 1997, Nature.
[34] Guust Nolet,et al. Seismic heterogeneity in the upper mantle , 1994 .
[35] Jeannot Trampert,et al. High resolution global phase velocity distributions , 1996 .
[36] Guust Nolet,et al. Solving or resolving inadequate and noisy tomographic systems , 1985 .
[37] P. Schultz,et al. Fundamentals of geophysical data processing , 1979 .
[38] J. Scales,et al. Bayesian seismic waveform inversion: Parameter estimation and uncertainty analysis , 1998 .
[39] G. Backus,et al. Uniqueness in the inversion of inaccurate gross Earth data , 1970, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.
[40] J Trampert. Global seismic tomography: the inverse problem and beyond , 1998 .
[41] Robert Burridge,et al. The Gelfand-Levitan, the Marchenko, and the Gopinath-Sondhi integral equations of inverse scattering theory, regarded in the context of inverse impulse-response problems , 1980 .
[42] T. Tanimoto. Free oscillations of a slightly anisotropic earth , 1986 .
[43] Göran Borg. Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe , 1946 .
[44] C. D. Gelatt,et al. Optimization by Simulated Annealing , 1983, Science.
[45] Michael A. Saunders,et al. LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares , 1982, TOMS.
[46] Roel Snieder,et al. To Bayes or not to Bayes , 1997 .
[47] R. Snieder. Large-scale waveform inversions of surface waves for lateral heterogeneity: 1. Theory and numerical examples , 1988 .
[48] Roel Snieder,et al. Obtaining smooth solutions to large, linear, inverse problems , 1994 .
[49] G. Backus,et al. The Resolving Power of Gross Earth Data , 1968 .
[50] Surface wave holography , 1987 .
[51] R. Snieder,et al. An alternative parameterisation for surface waves in a transverse isotropic medium , 2000 .
[52] R. Snieder,et al. Solving large linear inverse problems by projection , 1990 .
[53] Albert Tarantola,et al. Monte Carlo sampling of solutions to inverse problems , 1995 .
[54] J. Keller,et al. Determination of the Potential from Scattering Data , 1956 .
[55] Naoshi Hirata,et al. Generalized least-squares solutions to quasi-linear inverse problems with a priori information. , 1982 .
[56] Hendrik Jan van Heijst,et al. Measuring surface-wave overtone phase velocities using a mode-branch stripping technique , 1997 .
[57] D. Gesellschaft. Zeitschrift für Geophysik , 1925 .
[58] Öz Yilmaz,et al. Seismic data processing , 1987 .
[59] R. Snieder,et al. Shear wave velocity structure in North America from large-scale waveform inversions of surface waves , 1996 .
[60] A. Tarantola. LINEARIZED INVERSION OF SEISMIC REFLECTION DATA , 1984 .
[61] B. Kennett,et al. Upper Mantle Structure Beneath Australia from Portable Array Deployments , 1998 .
[62] A. Tarantola,et al. Generalized Nonlinear Inverse Problems Solved Using the Least Squares Criterion (Paper 1R1855) , 1982 .
[63] Filip Neele,et al. The effect of small‐scale structure on normal mode frequencies and global inversions , 1991 .
[64] H. A. van der Vorst,et al. Numerical solution of large, sparse linear algebraic systems arising from tomographic problems , 1987 .
[65] Jon F. Claerbout,et al. Imaging the Earth's Interior , 1985 .
[66] Daniel H. Rothman,et al. Nonlinear inversion, statistical mechanics, and residual statics estimation , 1985 .
[67] Roel Snieder,et al. The contrast in upper mantle shear-wave velocity between the east european platform and tectonic Europe obtained with genetic algorithm inversion of rayleigh-wave group dispersion , 1995 .
[68] J. Gillis,et al. Linear Differential Operators , 1963 .
[69] Roel Snieder. An extension of Backus-Gilbert theory to nonlinear inverse problems , 1991 .
[70] W. Menke. Geophysical data analysis : discrete inverse theory , 1984 .
[71] Roel Snieder,et al. The influence of topography on the propagation and scattering of surface waves , 1986 .
[72] Jeannot Trampert,et al. Global phase velocity maps of Love and Rayleigh waves between 40 and 150 seconds , 1995 .
[73] Roel Snieder,et al. The ambiguity in ray perturbation theory , 1993 .
[74] R. Snieder,et al. Ensemble inference in terms of empirical orthogonal functions , 1996 .
[75] Roger G. Newton,et al. Inversion of reflection data for layered media: a review of exact methods , 1981 .
[76] Roel Snieder,et al. Wavefield smoothing and the effect of rough velocity perturbations on arrival times and amplitudes , 1996 .
[77] Mrinal K. Sen,et al. Rapid sampling of model space using genetic algorithms: examples from seismic waveform inversion , 1992 .
[78] J. Tromp,et al. Theoretical Global Seismology , 1998 .
[79] R. Cassinis,et al. The Solution of the inverse problem in geophysical interpretation , 1981 .
[80] Roel Snieder,et al. The role of the Born approximation in nonlinear inversion , 1990 .
[81] Short Note: Linearization of the eikonal equation , 1994 .
[82] H. Nataf,et al. A simple method for inverting the azimuthal anisotropy of surface waves , 1986 .
[83] G. Backus,et al. Numerical Applications of a Formalism for Geophysical Inverse Problems , 1967 .
[84] P. Weidelt. The inverse problem of geomagnetic induction , 1973 .
[85] Michael A. Saunders,et al. Algorithm 583: LSQR: Sparse Linear Equations and Least Squares Problems , 1982, TOMS.
[86] Malcolm Sambridge,et al. Non-linear arrival time inversion: constraining velocity anomalies by seeking smooth models in 3-D , 1990 .
[87] Roger G. Newton,et al. Inverse Schrödinger scattering in three dimensions , 1989 .
[88] Discrete ambiguities and equivalent potentials , 1973 .