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