aniso.bib

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@Article{ags,
  author = 	 {F[] Bornemann and C[] Rasch},
  title = 	 {Finite-element discretization of static {Hamilton-Jacobi} equations based on a local variational principle},
  journal = 	 {Preprint},
  year = 	 2004
}

@Article{sweep,
  author = 	 {Y[] R[] Tsai and  L[] T[] Cheng and  S[] Osher and H[] K[] Zhao},
  title = 	 {Fast Sweeping Algorithms for a Class of {Hamilton-Jacobi} Equations},
  journal = 	 {SIAM J. on Numerical Analysis},
  year = 	 2003,
  volume =	 41,
  pages =	 {673-694}
}

@Article{sweep2,
  author = 	 {C[] Y[] Kao and S[] Osher and J[] Qian},
  title = 	 {{Lax-Friedrichs} Sweeping scheme for static {Hamilton-Jacobi} Equations},
  journal = 	 {J. of Computational Physics, in press},
  year = 	 2004
}

@Article{fowler,
  author = 	 {P[] J[] Fowler},
  title = 	 {Practical {VTI} approximations: a systematic
  anatomy},
  journal = 	 {J. of Applied Geophysics},
  year = 	 2003,
  volume =	 54,
  pages =	 {347-367}
}

@Article{jse,
  author = 	 {J[oseph] Dellinger and F[rancis] Muir and M[artin] Karrenbach},
  title = 	 {Anelliptic approximations for {TI} media},
  journal = 	 {Jour. Seis. Expl.},
  year = 	 1993,
  volume =	 2,
  pages =	 {23-40}
}

@Article{malov,
  author = {A[lexey] A[] Malovichko},
  title = {A New Representation of the Traveltime Curve of Reflected Waves
   in Horizontally Layered Media},
  journal = {Applied Geophysics (in Russian)},
  year = {1978},
  volume = {91},
  number = {1},
  pages = {47-53, English translation in~\protect\cite{Sword.sep.51.313}},
  annote = {in Russian}
}

@Book{tsvankin,
  author =	 {I[] D[] Tsvankin},
  title = 	 {Seismic Signatures and Analysis of Reflection Data in Anisotropic Media},
  publisher = 	 {Pergamon Press},
  year = 	 2001
}

@Article{mystolt,
  author = 	 {S[ergey] Fomel and L[] Vaillant},
  title = 	 {Evaluating the {Stolt}-stretch parameter},
  journal = 	 {Journal of Seismic Exploration},
  year = 	 2001,
  volume =	 9,
  pages =	 {319-335}
}

@Article{gassmann,
  author = 	 {F[] Gassmann},
  title = 	 {Introduction to seismic travel time methods in anisotropic media},
  journal = 	 {Pageoph.},
  year = 	 1964,
  volume =	 58,
  pages =	 {63-112}
}

@Book{white,
  author =	 {J[] E[] White},
  title = 	 {Underground Sound: Application of Seismic Waves},
  publisher = 	 {Elsevier Science Ltd},
  year = 	 1983
}

@Article{backus,
  author = 	 {G[] E[] Backus},
  title = 	 {Long-wave elastic anisotropy produced by horizontal layering},
  journal = 	 {J. Geoph. Res.},
  year = 	 1962,
  volume =	 67,
  pages =	 {4427-4440}
}

@Article{paper,
  author =       {J[ames] A[] Sethian},
  title =        {A fast marching level set method for monotonically advancing fronts},
  journal =      {Proc. Nat. Acad. Sci.},
  year =         1996,
  volume =       93,
  number =       4,
  pages =        {1591-1595}
}

@Article{osher,
  author =       {S[] Osher and J[ames] A[] Sethian},
  title =        {Fronts propagating with curvature-dependent speed:
{Algorithms} based on {Hamilton}-{Jacobi} formulation},
  journal =      {Jour. of Comp. Phys.},
  year =         1988,
  volume =       79,
  pages =        {12-49}
}

@Book{book,
  author =	 {Sethian, J.A.},
  title = 	 {Level Set Methods and Fast Marching Methods: 
{Evolving} Interfaces in
Computational Geometry, Fluid Mechanics, Computer Vision and Materials
Sciences},
  publisher = 	 {Cambridge University Press},
  year = 	 1999
}

@Article{kim,
  author = 	 {S[] Kim},
  title = 	 {{3-D} eikonal solvers: {First} arrival traveltimes},
  journal = 	 {Geophysics},
  year = 	 2002,
  volume =	 67,
  number =	 4,
  pages =	 {1225-1231}
}

@Article{alex,
  author = 	 {J[] A[] Sethian and A[] Vladi\-mirsky},
  title = 	 {Ordered Upwind Methods for Static 
{Hamilton-Jacobi} Equations},
  journal = 	 {Proc. Nat. Acad. Sci.},
  year = 	 2001,
  volume =	 98,
  pages =	 {11069-11074}
}

@Article{alex2,
  author = 	 {J[] A[] Sethian and A[] Vladi\-mirsky},
  title = 	 {Ordered Upwind Methods for Static {Hamilton-Jacobi} 
Equations: {Theory} and Applications},
  journal = 	 {SIAM Journal on Numerical Analysis},
  volume =       41,
  pages =        {325-363},
  year = 	 2003,
}

@Article{tariq,
  author = 	 {T[ariq] Alkhalifah},
  title = 	 {Traveltime computation with the 
linearized eikonal equation for anisotropic media},
  journal = 	 {Geoph. Prosp.},
  year = 	 2002,
  volume =	 50,
  pages =	 {373-382}
}

@Article{schneider,
  author = 	 {W[illiam] A[] Schneider},
  title = 	 {Linearization of the {P-wave} eikonal equation for weak vertical transverse isotropy},
  journal = 	 {Geophysics, in press},
  year = 	 2003
}

@Article{qin,
  author = 	 {J[] Qin and W[] Symes},
  title = 	 {Finite-difference quasi-P traveltimes for anisotropic media},
  journal = 	 {Geophysics},
  year = 	 2002,
  volume =	 67,
  number =	 01,
  pages =	 {147-155}
}

@incollection{linbin,
	   author = {L[inbin] Zhang and J[] W[] Rector and G[] M[] Hoversten},
	   booktitle = {72nd Ann. Internat. Mtg, Soc. Expl. Geophys., Expanded Abstracts},
	   pages = {1955-1958},
	   publisher = {Soc. of Expl. Geophys.},
	   title = {An eikonal solver in tilted {TI} media},
	   year = {2002}
	}

@Article{pratt,
  author = 	 {C[] H[] Chapman and R[] G[] Pratt},
  title = 	 {Traveltime tomography in anisotropic media--{I:} {Theory}},
  journal = 	 {Geophys. J. Internat.},
  year = 	 1992,
  volume =	 109,
  pages =	 {1-19}
}

@incollection{Alkhalifah.sep.95.tariq3,
title={An anisotropic {Marmousi} model},
author={T[ariq] Alkhalifah},
pages={265--282},
type={SEP-Report},
publisher={Stanford Exploration Project},
year={1997},
booktitle={SEP--\textbf{95}},
}

Fomel.sep.95.sergey3

@incollection{Muir.sep.44.55,
	 organization={SEP},
	 author={F[rancis] Muir and J[oe] Dellinger},
	 title={ A Practical Anisotropic System},
	 year={1985},
	 booktitle={SEP--\textbf{44}},
	 pages={55--58},
	 publisher={Stanford Exploration Project},
	}

@incollection{Sword.sep.51.313,
publisher={Stanford Exploration Project},
	 author={Ch[arles] H[] Sword},
	 title={A {Soviet} Look at Datum Shift},
	 year={1987},
	 booktitle={SEP--\textbf{51}},
	 pages={313--316}
}

@incollection{Fomel.sep.95.sergey3,
title={A variational formulation of the fast marching eikonal solver},
author={S[ergey] Fomel},
pages={127--147},
publisher={Stanford Exploration Project},
booktitle={SEP--\textbf{95}},
year={1997}
}


@Article{podvin.gji.91,
  author =       "P[] Podvin and I[] Lecomte",
  title =        "Finite Difference Computation of Traveltimes in Very
                Contrasted Velocity Models:  A Massively Parallel Approach
                and its Associated Tools",
  journal =      "Geophysical Journal International",
  year =         1991,
  volume =       105,
  pages =        "271--284"
}