| 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", |
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institution = {Max-Planck-Institut f\"ur Meteorologie}, |
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number = 212, |
| 15 |
year = 1996 |
| 16 |
} |
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|
| 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 |
} |
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|
| 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 |
|
| 43 |
@Book{Hamming:1987, |
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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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@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 |
|
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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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@Book{Lanczos:1961, |
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author = {C. Lanczos}, |
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title = {Linear Differential Operators}, |
| 70 |
publisher = {Van Nostrand, Reinhold}, |
| 71 |
year = 1961, |
| 72 |
address = {New York} |
| 73 |
} |
| 74 |
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| 75 |
@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 |
YEAR = 1992 ) |
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|
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@Book{Reed:1970, |
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author = {Micheal Reed and Barry Simon}, |
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title = {Functional Analysis}, |
| 85 |
publisher = {Academic Press, Inc.}, |
| 86 |
year = 1970, |
| 87 |
address = {San Diego} |
| 88 |
} |
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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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@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 |
journal = toms, |
| 105 |
year = 1996, |
| 106 |
volume = 22, |
| 107 |
number = 4, |
| 108 |
pages = {469--483} |
| 109 |
} |
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@Book{bronstein91, |
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author = {{Il'ja} N. Bronstein and Konstantin A. Semendjajew}, |
| 113 |
title = {Taschenbuch der Mathematik}, |
| 114 |
publisher = {B. G. Teubner Verlagsgesellschaft}, |
| 115 |
year = 1991, |
| 116 |
address = {Stuttgart}, |
| 117 |
edition = 25, |
| 118 |
pages = 824 |
| 119 |
} |
| 120 |
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| 121 |
@BOOK(courant, |
| 122 |
AUTHOR = "Richard Courant and David Hilbert", |
| 123 |
TITLE = "Methoden der Mathematischen Physik {I}", |
| 124 |
PUBLISHER = "Springer", |
| 125 |
ADDRESS = "Berlin", |
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PAGES = 469, |
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YEAR = 1968 ) |
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@Article{daru04, |
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author = {H. Daru and C. Tenaud}, |
| 131 |
title = {High Order One-Step Monotonicity-Preserving Schemes |
| 132 |
for Unsteady Compressible Flow Calculations}, |
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journal = jcp, |
| 134 |
year = 2004, |
| 135 |
volume = 193, |
| 136 |
pages = {563--594} |
| 137 |
} |
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| 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 |
|
| 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 |
|
| 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 |
|
| 272 |
@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 |
|
| 329 |
@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 |
AUTHOR = {R. Barrett and M. Berry and T. F. Chan and J. Demmel |
| 385 |
and J. Donato and J. Dongarra and V. Eijkhout and |
| 386 |
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 |
Solutions to Inverse Problems}, |
| 409 |
journal = {Ocean Dynamics}, |
| 410 |
year = 2002, |
| 411 |
volume = 52, |
| 412 |
number = 2, |
| 413 |
pages = {71--78} |
| 414 |
} |
| 415 |
|
| 416 |
@Article{yaremch02:_local_stabil, |
| 417 |
author = {Alexey Yaremchuk and Maxim Yaremchuk and Jens Schr{\"o}ter |
| 418 |
and Martin Losch}, |
| 419 |
title = {Local Stability and Estimation of Uncertainty for |
| 420 |
Solutions to Inverse Problems}, |
| 421 |
journal = {Ocean Dynamics}, |
| 422 |
year = 2002, |
| 423 |
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 |
} |
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