ceaice_split_version/bib_ceaice/maths.bib

% , PETSc Users Manual,
% Technical Report ANL-95/11 - Revision 2.1.3, Argonne National Laboratory, 2002 
@Book{Bertsekas:1982,
  author =	 {D. P. Bertsekas},
  title =	 {Constrained Optimization and {L}agrange Multiplier
                  Methods},
  publisher =	 {Academic Press},
  year =	 1982,
  address =	 {London}
}

@techreport{Giering96a,
  author =	 "Ralf Giering and Thomas Kaminski",
  title =	 "{R}ecipes for {A}djoint {C}ode {C}onstruction",
  institution =	 {Max-Planck-Institut f\"ur Meteorologie},
  number =	 212,
  year =	 1996
}

@manual{Giering97a,
  author =	 "Ralf Giering",
  title =	 "{T}angent linear and {A}djoint {M}odel {C}ompiler,
                  Users manual 1.2",
  electronic =	 "http://puddle.mit.edu/~ralf/tamc",
  year =	 1997
}

@manual{Giering99a,
  author =	 "Ralf Giering",
  title =	 "{T}angent linear and {A}djoint {M}odel {C}ompiler,
                  Users manual 1.4",
  electronic =	 "http://puddle.mit.edu/~ralf/tamc",
  year =	 1999
}

@manual{Giering99b,
  author =	 {Ralf Giering},
  title =	 {{T}angent linear and {A}djoint {M}odel {C}ompiler,
                  Users manual 1.4},
  note =	 {{\newline
                  http://puddle.mit.edu/$\sim$ralf/tamc}},
  year =	 1999
}

@Book{Hamming:1987,
  author =	 "Richard W. Hamming",
  title =	 "Digitale Filter",
  publisher =	 "VCH Verlagsgesellschaft",
  year =	 1987,
  address =	 "Weinheim, Germany"
}

@Book{Kreyszik:1978,
  author =	 {Erwin Kreyszig},
  title =	 {Introductory Functional Analysis with Applications},
  publisher =	 {John Wiley \& Sons},
  year =	 1978,
  address =	 {New York}
}

@Book{Kulhanek:1976,
  author =	 "Ota Kulh{\'a}nek",
  title =	 "Introduction to Digital Filtering in Geophysics",
  publisher =	 "Elsevier Scientific Publishing Company",
  year =	 1976,
  address =	 "Amsterdam--Oxford--New York"
}

@Book{Lanczos:1961,
  author =	 {C. Lanczos},
  title =	 {Linear Differential Operators},
  publisher =	 {Van Nostrand, Reinhold},
  year =	 1961,
  address =	 {New York}
}

@BOOK(Lapack,
  AUTHOR    = "E. Anderson and Z. Bai and C. Bischof and J. Demmel and others",
  TITLE     = "LAPACK user's guide",
  PUBLISHER = "Society for Industrial and Applied Mathematics",
  ADDRESS   = "Philadelphia",
  YEAR      = 1992 )

@Book{Reed:1970,
  author =	 {Micheal Reed and Barry Simon},
  title =	 {Functional Analysis},
  publisher =	 {Academic Press, Inc.},
  year =	 1970,
  address =	 {San Diego}
}

@Article{Sasaki:1970,
  author =	 {Yohikazu Sasaki},
  title =	 {Some Basic Formalisms in Numerical Variational
                  Analysis},
  journal =	 mwr,
  year =	 1970,
  volume =	 98,
  number = 	 12,
  pages =	 {875--883}
}

@TechReport{balay02,
  author =	 {Satish Balay and William D. Gropp and Lois Curfman
                  McInnes and Barry F. Smith},
  title =	 {{PETSc} {U}sers {M}anual},
  institution =	 {Argonne National Laboratory},
  year =	 {2002},
  OPTkey =	 {},
  OPTtype =	 {},
  number =	 {ANL-95/11 -- Revision 2.1.3},
  OPTaddress =	 {},
  OPTmonth =	 {},
  OPTnote =	 {},
  OPTannote =	 {}
}

@Article{barber96:_qhull,
  author =	 {C. B. Barber and D.P. Dobkin and H.T. Huhdanpaa},
  title =	 {The Quickhull Algorithm for Convex Hulls},
  journal =	 toms,
  year =	 1996,
  volume =	 22,
  number =	 4,
  pages =	 {469--483}
}

@Book{bronstein91,
  author =	 {{Il'ja} N. Bronstein and Konstantin A. Semendjajew},
  title = 	 {Taschenbuch der Mathematik},
  publisher = 	 {B. G. Teubner Verlagsgesellschaft},
  year = 	 1991,
  address =	 {Stuttgart},
  edition =	 25,
  pages = 	 824
}

@BOOK(courant,
  AUTHOR    = "Richard Courant and David Hilbert",
  TITLE     = "Methoden der Mathematischen Physik {I}",
  PUBLISHER = "Springer",
  ADDRESS   = "Berlin",
  PAGES     = 469,
  YEAR      = 1968 ) 

@Article{daru04,
  author =	 {H. Daru and C. Tenaud},
  title =	 {High Order One-Step Monotonicity-Preserving Schemes
                  for Unsteady Compressible Flow Calculations},
  journal =	 jcp,
  year =	 2004,
  volume =	 193,
  pages =	 {563--594}
}

@BOOK(fischer,
  AUTHOR    = "Gerd Fischer",
  TITLE     = "Lineare Algebra",
  PUBLISHER = "Vieweg",
  ADDRESS   = "Braunschweig, Wiesbaden",
  YEAR      = 1989 )

@Book{fischer89,
  author =	 {Gerd Fischer},
  title = 	 {Lineare Algebra},
  publisher = 	 {Vieweg},
  year = 	 1989,
  pages = 	 248,
  address =	 {Braunschweig, Wiesbaden}
}

@BOOK(fox,
  AUTHOR    = "Fox, L.",
  TITLE     = "Numerical Solution of Ordinary and Partial Differential Equations",
  PUBLISHER = "Pergamon Press",
  ADDRESS   = "New York",
  PAGES     = "303 ff.",
  YEAR      = 1962 )

@InProceedings{giering01,
  author =	 {Ralf Giering and Thomas Kaminski},
  title =	 {Generating recomputations in reverse mode {AD}},
  booktitle =	 {Automatic Differentiation 2000: From Simulation to
                  Optimization},
  OPTcrossref =	 {},
  OPTkey =	 {},
  OPTpages =	 {},
  OPTyear =	 {},
  OPTeditor =	 {},
  OPTvolume =	 {},
  OPTnumber =	 {},
  OPTseries =	 {},
  OPTaddress =	 {},
  OPTmonth =	 {},
  OPTorganization ={},
  OPTpublisher = {Springer Verlag},
  OPTnote =	 {},
  OPTannote =	 {}
}

@Unpublished{giering01:_taf_manual,
  author =	 {Ralf Giering and Thomas Kaminski},
  title =	 {{TAF} Manual},
  note =	 {{F}ast{O}pt, Hamburg},
  year =	 2001
}

&Article{ayaremch:1998,
  author =	 "Alexey I. Yaremchuk and Jens Schr{\"o}ter",
  title =	 "Spectral Analysis of Symmetric Operators:
                  Application to the {L}aplace Tidal Model",
  journal =	 jcp,
  year =	 1998,
  volume =	 147,
  pages =	 "1--21"
}

@Article{giering98,
  author =	 {Ralf Giering and Thomas Kaminski},
  title =	 {Recipes for Adjoint Code Construction},
  journal =	 toms,
  year =	 1998,
  volume =	 24,
  number =	 4,
  pdf = 	 {http://www.FastOpt.com/papers/racc.pdf},
  pages =	 {437--474}
}

@ARTICLE{gilbert:89,
  AUTHOR =	 "Jean Charles Gilbert and Claude Lemar{\'e}chal",
  TITLE =	 "Some Numerical Experiments with Variable-storage
                  Quasi-{N}ewton Algorithms",
  JOURNAL =	 "Mathematical Programming",
  VOLUME =	 "45",
  PAGES =	 "407--435",
  YEAR =	 1989
}

@InProceedings{giles02,
  author =	 {Micheal B. Giles},
  title =	 {On the iterative solution of adjoint equations},
  booktitle =	 {Automatic Differentiation of Algorithms: From
                  Simulation to Optimization},
  pages =	 {145--152},
  year =	 2002,
  editor =	 {G. Corliss and C. Faure and A. Griewank and
                  L. Hascoet and U. Naumann},
  publisher =	 {Springer-Verlag}
}

@Book{gill88:_pract_optim,
  author =	 {Philip E. Gill and Walter Murray and Margaret H. Wright},
  title = 	 {Practial Optimization},
  publisher = 	 {Academic Press, Inc.},
  year = 	 1988,
  address =	 {London}
}

@Book{goldberg89,
  author =	 {David Goldberg},
  title =	 {Genetic Algorithms in Search, Optimization and
                  Machine Learning},
  publisher =	 {Addision-Wesley},
  year =	 1989
}

@Article{gordon93,
  author =	 {N. Gordon and D. Salmond and A. Smith},
  title =	 {Novel approach to nonlinear/non-{G}aussian
                  {B}ayesian state estimation},
  journal =	 {IEEE Proceedings, Part F},
  year =	 1993,
  volume =	 140,
  pages =	 {107--113}
}

@Book{griewank00,
  title =	 {Evaluating Derivatives. Principles and Techniques of
                  Algorithmic Differentiation},
  publisher =	 {SIAM},
  year =	 {2000},
  author =	 {A. Griewank},
  volume =	 {19},
  series =	 {Frontiers in Applied Mathematics},
  address =	 {Philadelphia},
  pages =	 {369},
}

@Article{hundsdorfer94,
  author =	 {Willem Hundsdorfer and R. A. Trompert},
  title =	 {Method of Lines and Direct Discretization: a
                  Comparison for Linear Advection},
  journal =	 {Applied Numerical Mathematics},
  year =	 1994,
  volume =	 13,
  number =	 6,
  pages =	 {469--490},
  doi =		 {10.1016/0168-9274(94)90009-4}
}

@Article{hundsdorfer95,
  author =	 {Willem Hundsdorfer and B. Koren and M. van Loon and
                  J. Verwer},
  title =	 {A Positive Finite-Difference Advection Scheme},
  journal =	 jcp,
  year =	 1995,
  volume =	 117,
  number =	 1,
  pages =	 {35--46}
}

@Book{kelley99,
  author =	 {Carl T. Kelley},
  title =	 {Iterative Methods for Optimization},
  publisher =	 {SIAM},
  year =	 1999,
  number =	 18,
  series =	 {Frontiers in Applied Mathematics},
  address =	 {Philadelphia},
  pages =	 180
}

@BOOK(linpack,
  AUTHOR    = "Dongarra, J. J. and J. R. Bunch and C. B. Moder and G. W. Stewart",
  TITLE     = "LINPACK users' guide",
  PUBLISHER = "SIAM",
  ADDRESS   = "Philadelphia",
  YEAR      = 1979 )

@Article{loehner87,
  author =	 {R. L{\"o}hner and K. Morgan and J. Peraire and
                  M. Vahdati},
  title =	 {Finite element flux-corrected transport ({FEM-FCT})
                  for the {E}uler and {N}avier-{S}tokes equations},
  journal =	 ijnmf,
  year =	 1987,
  volume =	 7,
  pages =	 {1093--1109}
}

@Book{mathews64,
  author =	 {Jon Mathews and Robert L. Walker},
  title =	 {Mathematical Methods of Physics},
  publisher =	 {Addison-Wesley Publishing Company},
  year =	 1964,
  pages =	 501
}

@BOOK(menke,
  AUTHOR    = "William Menke",
  TITLE     = "Geophysical Data Analysis: Discrete Inverse Theory",
  PUBLISHER = "International Geophysics Series; 45. Academic Press",
  ADDRESS   = "San Diego",
  PAGES     = "289 p.",
  YEAR      = 1989 )  

@ARTICLE(paige:82,
  AUTHOR  = "C. C. Paige and M. A. Saunders",
  TITLE   = "{LSQR}: {A}n Algorithm for Sparse Linear Equations Sparse 
               Least Squares",
  JOURNAL = "Association for Computing Machinery Transactions 
             on Mathematical Software",
  VOLUME  = 8,
  NUMBER  = 1,
  PAGES   = "43-71",
  YEAR    = 1982 )

@Book{preisendorfer,
  author =	 "Rudolph W. Preisendorfer",
  title =	 "Principal Component Analysis in Meteorology and
                  Oceanography",
  publisher =	 "Elsevier Science Publishing Company Inc.",
  year =	 1988,
  address =	 "New York"
}

@BOOK{recipes,
  AUTHOR =	 "William H. Press and Saul A. Teukolsky and William
                  T. Vetterling and Brian P. Flannery",
  TITLE =	 "Numerical Recipes in Fortran",
  PUBLISHER =	 "Cambridge University Press",
  ADDRESS =	 "New York",
  PAGES =	 963,
  YEAR =	 1992
}

@InCollection{roe85,
  author =	 {P. Roe},
  title =	 {Some contributions to the modelling of discontinuous
                  flows},
  booktitle =	 {Large-Scale Computations in Fluid Mechanics},
  pages =	 {163--193},
  publisher =	 {American Mathematical Society},
  year =	 1985,
  editor =	 {B. Engquist and S. Osher and R. Somerville},
  volume =	 22,
  series =	 {Lectures in Applied Mathematics}
}  

@Book{schwarz,
  author =	 {Hans Rudolf Schwarz},
  title =	 {Numerische Mathematik},
  publisher =	 {Teubner},
  year =	 1988,
  address =	 {Stuttgart}
}

@BOOK(stoer,
  AUTHOR    = "Stoer, Joseph",
  TITLE     = "Einf{\"u}hrung in die Numerische Mathematik I",
  PUBLISHER = "Springer Verlag",
  ADDRESS   = "Heidelberg Berlin",
  PAGES     = "303 ff.",
  YEAR      = 1973 )

@BOOK(tarantola,
  AUTHOR    = "Albert Tarantola",
  TITLE     = "Inverse Problem Theory",
  PUBLISHER = "Elsevier Scientific Publishing Company",
  ADDRESS   = "Amsterdam",
  PAGES     = "613",
  YEAR      = 1988 )

@BOOK{templates,
  AUTHOR =	 {R. Barrett and M. Berry and T. F. Chan and J. Demmel
                  and J. Donato and J. Dongarra and V. Eijkhout and
                  R. Pozo and C. Romine and H. Van der Vorst },
  TITLE =	 {Templates for the Solution of Linear Systems:
                  Building Blocks for Iterative Methods, 2nd Edition},
  PUBLISHER =	 {SIAM},
  YEAR =	 {1994},
  ADDRESS =	 {Philadelphia, PA}
}

@BOOK(thiebaux:94,
  AUTHOR =	 "H. Jean Thi\'ebaux",
  TITLE =	 "Statistical Data Analysis for Ocean and Atmospheric
                  Sciences",
  PUBLISHER =	 "Academic Press",
  ADDRESS =	 "San Diego",
  PAGES =	 "247 pp.",
  YEAR =	 1994
)

@Article{yaremch01:_local_stabil,
  author =	 {Alexey Yaremchuk and Maxim Yaremchuk and Jens Schr{\"o}ter
                  and Martin Losch},
  title =	 {Local Stability and Estimation of Uncertainty for
                  Solutions to Inverse Problems},
  journal =	 {Ocean Dynamics},
  year =	 2002,
  volume =	 52,
  number =	 2,
  pages =	 {71--78}
}

@Article{yaremch02:_local_stabil,
  author =	 {Alexey Yaremchuk and Maxim Yaremchuk and Jens Schr{\"o}ter
                  and Martin Losch},
  title =	 {Local Stability and Estimation of Uncertainty for
                  Solutions to Inverse Problems},
  journal =	 {Ocean Dynamics},
  year =	 2002,
  volume =	 52,
  number =	 2,
  pages =	 {71--78}
}

@Article{yaremchuk98:_spect_analy_symmet_operat,
  author =	 "Alexey I. Yaremchuk and Jens Schr{\"o}ter",
  title =	 "Spectral Analysis of Symmetric Operators:
                  Application to the {L}aplace Tidal Model",
  journal =	 jcp,
  year =	 1998,
  volume =	 147,
  pages =	 "1--21"
}

1	mlosch	1.3	% , PETSc Users Manual,
2			% Technical Report ANL-95/11 - Revision 2.1.3, Argonne National Laboratory, 2002
3	heimbach	1.1	@Book{Bertsekas:1982,
4			author = {D. P. Bertsekas},
5			title = {Constrained Optimization and {L}agrange Multiplier
6			Methods},
7			publisher = {Academic Press},
8			year = 1982,
9			address = {London}
10			}
11
12			@techreport{Giering96a,
13			author = "Ralf Giering and Thomas Kaminski",
14			title = "{R}ecipes for {A}djoint {C}ode {C}onstruction",
15			institution = {Max-Planck-Institut f\"ur Meteorologie},
16			number = 212,
17			year = 1996
18			}
19
20			@manual{Giering97a,
21			author = "Ralf Giering",
22			title = "{T}angent linear and {A}djoint {M}odel {C}ompiler,
23			Users manual 1.2",
24			electronic = "http://puddle.mit.edu/~ralf/tamc",
25			year = 1997
26			}
27
28			@manual{Giering99a,
29			author = "Ralf Giering",
30			title = "{T}angent linear and {A}djoint {M}odel {C}ompiler,
31			Users manual 1.4",
32			electronic = "http://puddle.mit.edu/~ralf/tamc",
33			year = 1999
34			}
35
36			@manual{Giering99b,
37			author = {Ralf Giering},
38			title = {{T}angent linear and {A}djoint {M}odel {C}ompiler,
39			Users manual 1.4},
40			note = {{\newline
41			http://puddle.mit.edu/$\sim$ralf/tamc}},
42			year = 1999
43			}
44
45			@Book{Hamming:1987,
46			author = "Richard W. Hamming",
47			title = "Digitale Filter",
48			publisher = "VCH Verlagsgesellschaft",
49			year = 1987,
50			address = "Weinheim, Germany"
51			}
52
53			@Book{Kreyszik:1978,
54			author = {Erwin Kreyszig},
55			title = {Introductory Functional Analysis with Applications},
56			publisher = {John Wiley \& Sons},
57			year = 1978,
58			address = {New York}
59			}
60
61			@Book{Kulhanek:1976,
62			author = "Ota Kulh{\'a}nek",
63			title = "Introduction to Digital Filtering in Geophysics",
64			publisher = "Elsevier Scientific Publishing Company",
65			year = 1976,
66			address = "Amsterdam--Oxford--New York"
67			}
68
69			@Book{Lanczos:1961,
70			author = {C. Lanczos},
71			title = {Linear Differential Operators},
72			publisher = {Van Nostrand, Reinhold},
73			year = 1961,
74			address = {New York}
75			}
76
77			@BOOK(Lapack,
78			AUTHOR = "E. Anderson and Z. Bai and C. Bischof and J. Demmel and others",
79			TITLE = "LAPACK user's guide",
80			PUBLISHER = "Society for Industrial and Applied Mathematics",
81			ADDRESS = "Philadelphia",
82			YEAR = 1992 )
83
84			@Book{Reed:1970,
85			author = {Micheal Reed and Barry Simon},
86			title = {Functional Analysis},
87			publisher = {Academic Press, Inc.},
88			year = 1970,
89			address = {San Diego}
90			}
91
92			@Article{Sasaki:1970,
93			author = {Yohikazu Sasaki},
94			title = {Some Basic Formalisms in Numerical Variational
95			Analysis},
96			journal = mwr,
97			year = 1970,
98			volume = 98,
99			number = 12,
100			pages = {875--883}
101			}
102
103	mlosch	1.3	@TechReport{balay02,
104			author = {Satish Balay and William D. Gropp and Lois Curfman
105			McInnes and Barry F. Smith},
106			title = {{PETSc} {U}sers {M}anual},
107			institution = {Argonne National Laboratory},
108			year = {2002},
109			OPTkey = {},
110			OPTtype = {},
111			number = {ANL-95/11 -- Revision 2.1.3},
112			OPTaddress = {},
113			OPTmonth = {},
114			OPTnote = {},
115			OPTannote = {}
116			}
117
118	heimbach	1.1	@Article{barber96:_qhull,
119			author = {C. B. Barber and D.P. Dobkin and H.T. Huhdanpaa},
120			title = {The Quickhull Algorithm for Convex Hulls},
121			journal = toms,
122			year = 1996,
123			volume = 22,
124			number = 4,
125			pages = {469--483}
126			}
127
128			@Book{bronstein91,
129			author = {{Il'ja} N. Bronstein and Konstantin A. Semendjajew},
130			title = {Taschenbuch der Mathematik},
131			publisher = {B. G. Teubner Verlagsgesellschaft},
132			year = 1991,
133			address = {Stuttgart},
134			edition = 25,
135			pages = 824
136			}
137
138			@BOOK(courant,
139			AUTHOR = "Richard Courant and David Hilbert",
140			TITLE = "Methoden der Mathematischen Physik {I}",
141			PUBLISHER = "Springer",
142			ADDRESS = "Berlin",
143			PAGES = 469,
144			YEAR = 1968 )
145
146			@Article{daru04,
147			author = {H. Daru and C. Tenaud},
148			title = {High Order One-Step Monotonicity-Preserving Schemes
149			for Unsteady Compressible Flow Calculations},
150			journal = jcp,
151			year = 2004,
152			volume = 193,
153			pages = {563--594}
154			}
155
156			@BOOK(fischer,
157			AUTHOR = "Gerd Fischer",
158			TITLE = "Lineare Algebra",
159			PUBLISHER = "Vieweg",
160			ADDRESS = "Braunschweig, Wiesbaden",
161			YEAR = 1989 )
162
163			@Book{fischer89,
164			author = {Gerd Fischer},
165			title = {Lineare Algebra},
166			publisher = {Vieweg},
167			year = 1989,
168			pages = 248,
169			address = {Braunschweig, Wiesbaden}
170			}
171
172			@BOOK(fox,
173			AUTHOR = "Fox, L.",
174			TITLE = "Numerical Solution of Ordinary and Partial Differential Equations",
175			PUBLISHER = "Pergamon Press",
176			ADDRESS = "New York",
177			PAGES = "303 ff.",
178			YEAR = 1962 )
179
180			@InProceedings{giering01,
181			author = {Ralf Giering and Thomas Kaminski},
182			title = {Generating recomputations in reverse mode {AD}},
183			booktitle = {Automatic Differentiation 2000: From Simulation to
184			Optimization},
185			OPTcrossref = {},
186			OPTkey = {},
187			OPTpages = {},
188			OPTyear = {},
189			OPTeditor = {},
190			OPTvolume = {},
191			OPTnumber = {},
192			OPTseries = {},
193			OPTaddress = {},
194			OPTmonth = {},
195			OPTorganization ={},
196			OPTpublisher = {Springer Verlag},
197			OPTnote = {},
198			OPTannote = {}
199			}
200
201			@Unpublished{giering01:_taf_manual,
202			author = {Ralf Giering and Thomas Kaminski},
203			title = {{TAF} Manual},
204			note = {{F}ast{O}pt, Hamburg},
205			year = 2001
206			}
207
208			&Article{ayaremch:1998,
209			author = "Alexey I. Yaremchuk and Jens Schr{\"o}ter",
210			title = "Spectral Analysis of Symmetric Operators:
211			Application to the {L}aplace Tidal Model",
212			journal = jcp,
213			year = 1998,
214			volume = 147,
215			pages = "1--21"
216			}
217
218			@Article{giering98,
219			author = {Ralf Giering and Thomas Kaminski},
220			title = {Recipes for Adjoint Code Construction},
221			journal = toms,
222			year = 1998,
223			volume = 24,
224			number = 4,
225			pdf = {http://www.FastOpt.com/papers/racc.pdf},
226			pages = {437--474}
227			}
228
229			@ARTICLE{gilbert:89,
230			AUTHOR = "Jean Charles Gilbert and Claude Lemar{\'e}chal",
231			TITLE = "Some Numerical Experiments with Variable-storage
232			Quasi-{N}ewton Algorithms",
233			JOURNAL = "Mathematical Programming",
234			VOLUME = "45",
235			PAGES = "407--435",
236			YEAR = 1989
237			}
238
239			@InProceedings{giles02,
240			author = {Micheal B. Giles},
241			title = {On the iterative solution of adjoint equations},
242			booktitle = {Automatic Differentiation of Algorithms: From
243			Simulation to Optimization},
244			pages = {145--152},
245			year = 2002,
246			editor = {G. Corliss and C. Faure and A. Griewank and
247			L. Hascoet and U. Naumann},
248			publisher = {Springer-Verlag}
249			}
250
251			@Book{gill88:_pract_optim,
252			author = {Philip E. Gill and Walter Murray and Margaret H. Wright},
253			title = {Practial Optimization},
254			publisher = {Academic Press, Inc.},
255			year = 1988,
256			address = {London}
257			}
258
259			@Book{goldberg89,
260			author = {David Goldberg},
261			title = {Genetic Algorithms in Search, Optimization and
262			Machine Learning},
263			publisher = {Addision-Wesley},
264			year = 1989
265			}
266
267			@Article{gordon93,
268			author = {N. Gordon and D. Salmond and A. Smith},
269			title = {Novel approach to nonlinear/non-{G}aussian
270			{B}ayesian state estimation},
271			journal = {IEEE Proceedings, Part F},
272			year = 1993,
273			volume = 140,
274			pages = {107--113}
275			}
276
277			@Book{griewank00,
278			title = {Evaluating Derivatives. Principles and Techniques of
279			Algorithmic Differentiation},
280			publisher = {SIAM},
281			year = {2000},
282			author = {A. Griewank},
283			volume = {19},
284			series = {Frontiers in Applied Mathematics},
285			address = {Philadelphia},
286			pages = {369},
287			}
288
289			@Article{hundsdorfer94,
290			author = {Willem Hundsdorfer and R. A. Trompert},
291			title = {Method of Lines and Direct Discretization: a
292			Comparison for Linear Advection},
293			journal = {Applied Numerical Mathematics},
294			year = 1994,
295			volume = 13,
296			number = 6,
297			pages = {469--490},
298	mlosch	1.2	doi = {10.1016/0168-9274(94)90009-4}
299	heimbach	1.1	}
300
301			@Article{hundsdorfer95,
302			author = {Willem Hundsdorfer and B. Koren and M. van Loon and
303			J. Verwer},
304			title = {A Positive Finite-Difference Advection Scheme},
305			journal = jcp,
306			year = 1995,
307			volume = 117,
308			number = 1,
309			pages = {35--46}
310			}
311
312			@Book{kelley99,
313			author = {Carl T. Kelley},
314			title = {Iterative Methods for Optimization},
315			publisher = {SIAM},
316			year = 1999,
317			number = 18,
318			series = {Frontiers in Applied Mathematics},
319			address = {Philadelphia},
320			pages = 180
321			}
322
323			@BOOK(linpack,
324			AUTHOR = "Dongarra, J. J. and J. R. Bunch and C. B. Moder and G. W. Stewart",
325			TITLE = "LINPACK users' guide",
326			PUBLISHER = "SIAM",
327			ADDRESS = "Philadelphia",
328			YEAR = 1979 )
329
330	mlosch	1.3	@Article{loehner87,
331			author = {R. L{\"o}hner and K. Morgan and J. Peraire and
332			M. Vahdati},
333			title = {Finite element flux-corrected transport ({FEM-FCT})
334			for the {E}uler and {N}avier-{S}tokes equations},
335			journal = ijnmf,
336			year = 1987,
337			volume = 7,
338			pages = {1093--1109}
339			}
340
341	heimbach	1.1	@Book{mathews64,
342			author = {Jon Mathews and Robert L. Walker},
343			title = {Mathematical Methods of Physics},
344			publisher = {Addison-Wesley Publishing Company},
345			year = 1964,
346			pages = 501
347			}
348
349			@BOOK(menke,
350			AUTHOR = "William Menke",
351			TITLE = "Geophysical Data Analysis: Discrete Inverse Theory",
352			PUBLISHER = "International Geophysics Series; 45. Academic Press",
353			ADDRESS = "San Diego",
354			PAGES = "289 p.",
355			YEAR = 1989 )
356
357			@ARTICLE(paige:82,
358			AUTHOR = "C. C. Paige and M. A. Saunders",
359			TITLE = "{LSQR}: {A}n Algorithm for Sparse Linear Equations Sparse
360			Least Squares",
361			JOURNAL = "Association for Computing Machinery Transactions
362			on Mathematical Software",
363			VOLUME = 8,
364			NUMBER = 1,
365			PAGES = "43-71",
366			YEAR = 1982 )
367
368			@Book{preisendorfer,
369			author = "Rudolph W. Preisendorfer",
370			title = "Principal Component Analysis in Meteorology and
371			Oceanography",
372			publisher = "Elsevier Science Publishing Company Inc.",
373			year = 1988,
374			address = "New York"
375			}
376
377			@BOOK{recipes,
378			AUTHOR = "William H. Press and Saul A. Teukolsky and William
379			T. Vetterling and Brian P. Flannery",
380			TITLE = "Numerical Recipes in Fortran",
381			PUBLISHER = "Cambridge University Press",
382			ADDRESS = "New York",
383			PAGES = 963,
384			YEAR = 1992
385			}
386
387			@InCollection{roe85,
388			author = {P. Roe},
389			title = {Some contributions to the modelling of discontinuous
390			flows},
391			booktitle = {Large-Scale Computations in Fluid Mechanics},
392			pages = {163--193},
393			publisher = {American Mathematical Society},
394			year = 1985,
395			editor = {B. Engquist and S. Osher and R. Somerville},
396			volume = 22,
397			series = {Lectures in Applied Mathematics}
398			}
399
400			@Book{schwarz,
401			author = {Hans Rudolf Schwarz},
402			title = {Numerische Mathematik},
403			publisher = {Teubner},
404			year = 1988,
405			address = {Stuttgart}
406			}
407
408			@BOOK(stoer,
409			AUTHOR = "Stoer, Joseph",
410			TITLE = "Einf{\"u}hrung in die Numerische Mathematik I",
411			PUBLISHER = "Springer Verlag",
412			ADDRESS = "Heidelberg Berlin",
413			PAGES = "303 ff.",
414			YEAR = 1973 )
415
416			@BOOK(tarantola,
417			AUTHOR = "Albert Tarantola",
418			TITLE = "Inverse Problem Theory",
419			PUBLISHER = "Elsevier Scientific Publishing Company",
420			ADDRESS = "Amsterdam",
421			PAGES = "613",
422			YEAR = 1988 )
423
424			@BOOK{templates,
425			AUTHOR = {R. Barrett and M. Berry and T. F. Chan and J. Demmel
426			and J. Donato and J. Dongarra and V. Eijkhout and
427			R. Pozo and C. Romine and H. Van der Vorst },
428			TITLE = {Templates for the Solution of Linear Systems:
429			Building Blocks for Iterative Methods, 2nd Edition},
430			PUBLISHER = {SIAM},
431			YEAR = {1994},
432			ADDRESS = {Philadelphia, PA}
433			}
434
435			@BOOK(thiebaux:94,
436			AUTHOR = "H. Jean Thi\'ebaux",
437			TITLE = "Statistical Data Analysis for Ocean and Atmospheric
438			Sciences",
439			PUBLISHER = "Academic Press",
440			ADDRESS = "San Diego",
441			PAGES = "247 pp.",
442			YEAR = 1994
443			)
444
445			@Article{yaremch01:_local_stabil,
446			author = {Alexey Yaremchuk and Maxim Yaremchuk and Jens Schr{\"o}ter
447			and Martin Losch},
448			title = {Local Stability and Estimation of Uncertainty for
449			Solutions to Inverse Problems},
450			journal = {Ocean Dynamics},
451			year = 2002,
452			volume = 52,
453			number = 2,
454			pages = {71--78}
455			}
456
457			@Article{yaremch02:_local_stabil,
458			author = {Alexey Yaremchuk and Maxim Yaremchuk and Jens Schr{\"o}ter
459			and Martin Losch},
460			title = {Local Stability and Estimation of Uncertainty for
461			Solutions to Inverse Problems},
462			journal = {Ocean Dynamics},
463			year = 2002,
464			volume = 52,
465			number = 2,
466			pages = {71--78}
467			}
468
469			@Article{yaremchuk98:_spect_analy_symmet_operat,
470			author = "Alexey I. Yaremchuk and Jens Schr{\"o}ter",
471			title = "Spectral Analysis of Symmetric Operators:
472			Application to the {L}aplace Tidal Model",
473			journal = jcp,
474			year = 1998,
475			volume = 147,
476			pages = "1--21"
477			}
478