| 1 |
mlosch |
1.2 |
@Book{Bertsekas:1982, |
| 2 |
|
|
author = {D. P. Bertsekas}, |
| 3 |
|
|
title = {Constrained Optimization and {L}agrange Multiplier |
| 4 |
|
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Methods}, |
| 5 |
|
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publisher = {Academic Press}, |
| 6 |
|
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year = 1982, |
| 7 |
|
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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 |
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number = 212, |
| 15 |
|
|
year = 1996 |
| 16 |
|
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} |
| 17 |
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| 18 |
|
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@manual{Giering97a, |
| 19 |
|
|
author = "Ralf Giering", |
| 20 |
|
|
title = "{T}angent linear and {A}djoint {M}odel {C}ompiler, |
| 21 |
|
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Users manual 1.2", |
| 22 |
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electronic = "http://puddle.mit.edu/~ralf/tamc", |
| 23 |
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|
year = 1997 |
| 24 |
|
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} |
| 25 |
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| 26 |
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@manual{Giering99a, |
| 27 |
|
|
author = "Ralf Giering", |
| 28 |
|
|
title = "{T}angent linear and {A}djoint {M}odel {C}ompiler, |
| 29 |
|
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Users manual 1.4", |
| 30 |
|
|
electronic = "http://puddle.mit.edu/~ralf/tamc", |
| 31 |
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year = 1999 |
| 32 |
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} |
| 33 |
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| 34 |
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@manual{Giering99b, |
| 35 |
|
|
author = {Ralf Giering}, |
| 36 |
|
|
title = {{T}angent linear and {A}djoint {M}odel {C}ompiler, |
| 37 |
|
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Users manual 1.4}, |
| 38 |
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note = {{\newline |
| 39 |
|
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http://puddle.mit.edu/$\sim$ralf/tamc}}, |
| 40 |
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year = 1999 |
| 41 |
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} |
| 42 |
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| 43 |
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@Book{Hamming:1987, |
| 44 |
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author = "Richard W. Hamming", |
| 45 |
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title = "Digitale Filter", |
| 46 |
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publisher = "VCH Verlagsgesellschaft", |
| 47 |
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year = 1987, |
| 48 |
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address = "Weinheim, Germany" |
| 49 |
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} |
| 50 |
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| 51 |
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@Book{Kreyszik:1978, |
| 52 |
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author = {Erwin Kreyszig}, |
| 53 |
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title = {Introductory Functional Analysis with Applications}, |
| 54 |
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publisher = {John Wiley \& Sons}, |
| 55 |
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year = 1978, |
| 56 |
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address = {New York} |
| 57 |
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} |
| 58 |
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| 59 |
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@Book{Kulhanek:1976, |
| 60 |
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author = "Ota Kulh{\'a}nek", |
| 61 |
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title = "Introduction to Digital Filtering in Geophysics", |
| 62 |
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publisher = "Elsevier Scientific Publishing Company", |
| 63 |
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year = 1976, |
| 64 |
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address = "Amsterdam--Oxford--New York" |
| 65 |
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} |
| 66 |
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| 67 |
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@Book{Lanczos:1961, |
| 68 |
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author = {C. Lanczos}, |
| 69 |
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title = {Linear Differential Operators}, |
| 70 |
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publisher = {Van Nostrand, Reinhold}, |
| 71 |
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year = 1961, |
| 72 |
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address = {New York} |
| 73 |
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} |
| 74 |
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| 75 |
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@BOOK(Lapack, |
| 76 |
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AUTHOR = "E. Anderson and Z. Bai and C. Bischof and J. Demmel and others", |
| 77 |
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TITLE = "LAPACK user's guide", |
| 78 |
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PUBLISHER = "Society for Industrial and Applied Mathematics", |
| 79 |
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ADDRESS = "Philadelphia", |
| 80 |
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YEAR = 1992 ) |
| 81 |
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| 82 |
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@Book{Reed:1970, |
| 83 |
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author = {Micheal Reed and Barry Simon}, |
| 84 |
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title = {Functional Analysis}, |
| 85 |
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publisher = {Academic Press, Inc.}, |
| 86 |
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year = 1970, |
| 87 |
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address = {San Diego} |
| 88 |
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} |
| 89 |
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| 90 |
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@Article{Sasaki:1970, |
| 91 |
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author = {Yohikazu Sasaki}, |
| 92 |
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title = {Some Basic Formalisms in Numerical Variational |
| 93 |
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Analysis}, |
| 94 |
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journal = mwr, |
| 95 |
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year = 1970, |
| 96 |
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volume = 98, |
| 97 |
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number = 12, |
| 98 |
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pages = {875--883} |
| 99 |
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} |
| 100 |
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| 101 |
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@Article{barber96:_qhull, |
| 102 |
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author = {C. B. Barber and D.P. Dobkin and H.T. Huhdanpaa}, |
| 103 |
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title = {The Quickhull Algorithm for Convex Hulls}, |
| 104 |
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journal = toms, |
| 105 |
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year = 1996, |
| 106 |
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volume = 22, |
| 107 |
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number = 4, |
| 108 |
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pages = {469--483} |
| 109 |
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} |
| 110 |
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| 111 |
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@Book{bronstein91, |
| 112 |
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author = {{Il'ja} N. Bronstein and Konstantin A. Semendjajew}, |
| 113 |
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title = {Taschenbuch der Mathematik}, |
| 114 |
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publisher = {B. G. Teubner Verlagsgesellschaft}, |
| 115 |
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year = 1991, |
| 116 |
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address = {Stuttgart}, |
| 117 |
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edition = 25, |
| 118 |
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pages = 824 |
| 119 |
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} |
| 120 |
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| 121 |
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@BOOK(courant, |
| 122 |
|
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AUTHOR = "Richard Courant and David Hilbert", |
| 123 |
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TITLE = "Methoden der Mathematischen Physik {I}", |
| 124 |
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PUBLISHER = "Springer", |
| 125 |
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ADDRESS = "Berlin", |
| 126 |
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PAGES = 469, |
| 127 |
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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 |
|
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title = {High Order One-Step Monotonicity-Preserving Schemes |
| 132 |
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for Unsteady Compressible Flow Calculations}, |
| 133 |
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journal = jcp, |
| 134 |
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year = 2004, |
| 135 |
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volume = 193, |
| 136 |
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pages = {563--594} |
| 137 |
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} |
| 138 |
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| 139 |
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@BOOK(fischer, |
| 140 |
|
|
AUTHOR = "Gerd Fischer", |
| 141 |
|
|
TITLE = "Lineare Algebra", |
| 142 |
|
|
PUBLISHER = "Vieweg", |
| 143 |
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ADDRESS = "Braunschweig, Wiesbaden", |
| 144 |
|
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YEAR = 1989 ) |
| 145 |
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| 146 |
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@Book{fischer89, |
| 147 |
|
|
author = {Gerd Fischer}, |
| 148 |
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title = {Lineare Algebra}, |
| 149 |
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publisher = {Vieweg}, |
| 150 |
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year = 1989, |
| 151 |
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pages = 248, |
| 152 |
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address = {Braunschweig, Wiesbaden} |
| 153 |
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} |
| 154 |
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| 155 |
|
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@BOOK(fox, |
| 156 |
|
|
AUTHOR = "Fox, L.", |
| 157 |
|
|
TITLE = "Numerical Solution of Ordinary and Partial Differential Equations", |
| 158 |
|
|
PUBLISHER = "Pergamon Press", |
| 159 |
|
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ADDRESS = "New York", |
| 160 |
|
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PAGES = "303 ff.", |
| 161 |
|
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YEAR = 1962 ) |
| 162 |
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| 163 |
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@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 |
|
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year = 2001 |
| 189 |
|
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} |
| 190 |
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| 191 |
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&Article{ayaremch:1998, |
| 192 |
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author = "Alexey I. Yaremchuk and Jens Schr{\"o}ter", |
| 193 |
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title = "Spectral Analysis of Symmetric Operators: |
| 194 |
|
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Application to the {L}aplace Tidal Model", |
| 195 |
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journal = jcp, |
| 196 |
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year = 1998, |
| 197 |
|
|
volume = 147, |
| 198 |
|
|
pages = "1--21" |
| 199 |
|
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} |
| 200 |
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| 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 |
|
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|
| 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 |
|
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} |
| 221 |
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| 222 |
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@InProceedings{giles02, |
| 223 |
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author = {Micheal B. Giles}, |
| 224 |
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title = {On the iterative solution of adjoint equations}, |
| 225 |
|
|
booktitle = {Automatic Differentiation of Algorithms: From |
| 226 |
|
|
Simulation to Optimization}, |
| 227 |
|
|
pages = {145--152}, |
| 228 |
|
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year = 2002, |
| 229 |
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|
editor = {G. Corliss and C. Faure and A. Griewank and |
| 230 |
|
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L. Hascoet and U. Naumann}, |
| 231 |
|
|
publisher = {Springer-Verlag} |
| 232 |
|
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} |
| 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 |
|
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} |
| 241 |
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| 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 |
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| 250 |
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@Article{gordon93, |
| 251 |
|
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author = {N. Gordon and D. Salmond and A. Smith}, |
| 252 |
|
|
title = {Novel approach to nonlinear/non-{G}aussian |
| 253 |
|
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{B}ayesian state estimation}, |
| 254 |
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|
journal = {IEEE Proceedings, Part F}, |
| 255 |
|
|
year = 1993, |
| 256 |
|
|
volume = 140, |
| 257 |
|
|
pages = {107--113} |
| 258 |
|
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} |
| 259 |
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|
| 260 |
|
|
@Book{griewank00, |
| 261 |
|
|
title = {Evaluating Derivatives. Principles and Techniques of |
| 262 |
|
|
Algorithmic Differentiation}, |
| 263 |
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|
publisher = {SIAM}, |
| 264 |
|
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year = {2000}, |
| 265 |
|
|
author = {A. Griewank}, |
| 266 |
|
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volume = {19}, |
| 267 |
|
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series = {Frontiers in Applied Mathematics}, |
| 268 |
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address = {Philadelphia}, |
| 269 |
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pages = {369}, |
| 270 |
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} |
| 271 |
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| 272 |
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@Article{hundsdorfer94, |
| 273 |
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author = {Willem Hundsdorfer and R. A. Trompert}, |
| 274 |
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title = {Method of Lines and Direct Discretization: a |
| 275 |
|
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Comparison for Linear Advection}, |
| 276 |
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journal = {Applied Numerical Mathematics}, |
| 277 |
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year = 1994, |
| 278 |
|
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volume = 13, |
| 279 |
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number = 6, |
| 280 |
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pages = {469--490}, |
| 281 |
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note = {doi:10.1016/0168-9274(94)90009-4} |
| 282 |
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} |
| 283 |
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| 284 |
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@Article{hundsdorfer95, |
| 285 |
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author = {Willem Hundsdorfer and B. Koren and M. van Loon and |
| 286 |
|
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J. Verwer}, |
| 287 |
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title = {A Positive Finite-Difference Advection Scheme}, |
| 288 |
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journal = jcp, |
| 289 |
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year = 1995, |
| 290 |
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volume = 117, |
| 291 |
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number = 1, |
| 292 |
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pages = {35--46} |
| 293 |
|
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} |
| 294 |
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| 295 |
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@Book{kelley99, |
| 296 |
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author = {Carl T. Kelley}, |
| 297 |
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title = {Iterative Methods for Optimization}, |
| 298 |
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publisher = {SIAM}, |
| 299 |
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year = 1999, |
| 300 |
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number = 18, |
| 301 |
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series = {Frontiers in Applied Mathematics}, |
| 302 |
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address = {Philadelphia}, |
| 303 |
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pages = 180 |
| 304 |
|
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} |
| 305 |
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| 306 |
|
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@BOOK(linpack, |
| 307 |
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AUTHOR = "Dongarra, J. J. and J. R. Bunch and C. B. Moder and G. W. Stewart", |
| 308 |
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TITLE = "LINPACK users' guide", |
| 309 |
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PUBLISHER = "SIAM", |
| 310 |
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ADDRESS = "Philadelphia", |
| 311 |
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YEAR = 1979 ) |
| 312 |
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| 313 |
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@Book{mathews64, |
| 314 |
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author = {Jon Mathews and Robert L. Walker}, |
| 315 |
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title = {Mathematical Methods of Physics}, |
| 316 |
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publisher = {Addison-Wesley Publishing Company}, |
| 317 |
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year = 1964, |
| 318 |
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pages = 501 |
| 319 |
mlosch |
1.3 |
} |
| 320 |
mlosch |
1.2 |
|
| 321 |
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@BOOK(menke, |
| 322 |
|
|
AUTHOR = "William Menke", |
| 323 |
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|
TITLE = "Geophysical Data Analysis: Discrete Inverse Theory", |
| 324 |
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|
PUBLISHER = "International Geophysics Series; 45. Academic Press", |
| 325 |
|
|
ADDRESS = "San Diego", |
| 326 |
|
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PAGES = "289 p.", |
| 327 |
mlosch |
1.3 |
YEAR = 1989 ) |
| 328 |
mlosch |
1.2 |
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| 329 |
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@ARTICLE(paige:82, |
| 330 |
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AUTHOR = "C. C. Paige and M. A. Saunders", |
| 331 |
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TITLE = "{LSQR}: {A}n Algorithm for Sparse Linear Equations Sparse |
| 332 |
|
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Least Squares", |
| 333 |
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JOURNAL = "Association for Computing Machinery Transactions |
| 334 |
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on Mathematical Software", |
| 335 |
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VOLUME = 8, |
| 336 |
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NUMBER = 1, |
| 337 |
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PAGES = "43-71", |
| 338 |
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YEAR = 1982 ) |
| 339 |
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| 340 |
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@Book{preisendorfer, |
| 341 |
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author = "Rudolph W. Preisendorfer", |
| 342 |
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title = "Principal Component Analysis in Meteorology and |
| 343 |
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Oceanography", |
| 344 |
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publisher = "Elsevier Science Publishing Company Inc.", |
| 345 |
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year = 1988, |
| 346 |
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address = "New York" |
| 347 |
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} |
| 348 |
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| 349 |
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@BOOK{recipes, |
| 350 |
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AUTHOR = "William H. Press and Saul A. Teukolsky and William |
| 351 |
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T. Vetterling and Brian P. Flannery", |
| 352 |
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TITLE = "Numerical Recipes in Fortran", |
| 353 |
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PUBLISHER = "Cambridge University Press", |
| 354 |
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ADDRESS = "New York", |
| 355 |
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PAGES = 963, |
| 356 |
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YEAR = 1992 |
| 357 |
mlosch |
1.3 |
} |
| 358 |
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| 359 |
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@InCollection{roe85, |
| 360 |
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author = {P. Roe}, |
| 361 |
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title = {Some contributions to the modelling of discontinuous |
| 362 |
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flows}, |
| 363 |
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booktitle = {Large-Scale Computations in Fluid Mechanics}, |
| 364 |
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pages = {163--193}, |
| 365 |
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publisher = {American Mathematical Society}, |
| 366 |
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year = 1985, |
| 367 |
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editor = {B. Engquist and S. Osher and R. Somerville}, |
| 368 |
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volume = 22, |
| 369 |
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series = {Lectures in Applied Mathematics} |
| 370 |
mlosch |
1.2 |
} |
| 371 |
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| 372 |
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@Book{schwarz, |
| 373 |
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|
author = {Hans Rudolf Schwarz}, |
| 374 |
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title = {Numerische Mathematik}, |
| 375 |
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publisher = {Teubner}, |
| 376 |
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year = 1988, |
| 377 |
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address = {Stuttgart} |
| 378 |
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} |
| 379 |
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| 380 |
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@BOOK(stoer, |
| 381 |
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|
AUTHOR = "Stoer, Joseph", |
| 382 |
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|
TITLE = "Einf{\"u}hrung in die Numerische Mathematik I", |
| 383 |
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PUBLISHER = "Springer Verlag", |
| 384 |
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|
ADDRESS = "Heidelberg Berlin", |
| 385 |
|
|
PAGES = "303 ff.", |
| 386 |
|
|
YEAR = 1973 ) |
| 387 |
|
|
|
| 388 |
|
|
@BOOK(tarantola, |
| 389 |
|
|
AUTHOR = "Albert Tarantola", |
| 390 |
|
|
TITLE = "Inverse Problem Theory", |
| 391 |
|
|
PUBLISHER = "Elsevier Scientific Publishing Company", |
| 392 |
|
|
ADDRESS = "Amsterdam", |
| 393 |
|
|
PAGES = "613", |
| 394 |
|
|
YEAR = 1988 ) |
| 395 |
|
|
|
| 396 |
|
|
@BOOK{templates, |
| 397 |
|
|
AUTHOR = {R. Barrett and M. Berry and T. F. Chan and J. Demmel |
| 398 |
|
|
and J. Donato and J. Dongarra and V. Eijkhout and |
| 399 |
|
|
R. Pozo and C. Romine and H. Van der Vorst }, |
| 400 |
|
|
TITLE = {Templates for the Solution of Linear Systems: |
| 401 |
|
|
Building Blocks for Iterative Methods, 2nd Edition}, |
| 402 |
|
|
PUBLISHER = {SIAM}, |
| 403 |
|
|
YEAR = {1994}, |
| 404 |
|
|
ADDRESS = {Philadelphia, PA} |
| 405 |
|
|
} |
| 406 |
|
|
|
| 407 |
|
|
@BOOK(thiebaux:94, |
| 408 |
|
|
AUTHOR = "H. Jean Thi\'ebaux", |
| 409 |
|
|
TITLE = "Statistical Data Analysis for Ocean and Atmospheric |
| 410 |
|
|
Sciences", |
| 411 |
|
|
PUBLISHER = "Academic Press", |
| 412 |
|
|
ADDRESS = "San Diego", |
| 413 |
|
|
PAGES = "247 pp.", |
| 414 |
|
|
YEAR = 1994 |
| 415 |
|
|
) |
| 416 |
|
|
|
| 417 |
|
|
@Article{yaremch01:_local_stabil, |
| 418 |
|
|
author = {Alexey Yaremchuk and Maxim Yaremchuk and Jens Schr{\"o}ter |
| 419 |
|
|
and Martin Losch}, |
| 420 |
|
|
title = {Local Stability and Estimation of Uncertainty for |
| 421 |
|
|
Solutions to Inverse Problems}, |
| 422 |
|
|
journal = {Ocean Dynamics}, |
| 423 |
|
|
year = 2002, |
| 424 |
|
|
volume = 52, |
| 425 |
|
|
number = 2, |
| 426 |
|
|
pages = {71--78} |
| 427 |
|
|
} |
| 428 |
|
|
|
| 429 |
|
|
@Article{yaremch02:_local_stabil, |
| 430 |
|
|
author = {Alexey Yaremchuk and Maxim Yaremchuk and Jens Schr{\"o}ter |
| 431 |
|
|
and Martin Losch}, |
| 432 |
|
|
title = {Local Stability and Estimation of Uncertainty for |
| 433 |
|
|
Solutions to Inverse Problems}, |
| 434 |
|
|
journal = {Ocean Dynamics}, |
| 435 |
|
|
year = 2002, |
| 436 |
|
|
volume = 52, |
| 437 |
|
|
number = 2, |
| 438 |
|
|
pages = {71--78} |
| 439 |
|
|
} |
| 440 |
|
|
|
| 441 |
|
|
@Article{yaremchuk98:_spect_analy_symmet_operat, |
| 442 |
|
|
author = "Alexey I. Yaremchuk and Jens Schr{\"o}ter", |
| 443 |
|
|
title = "Spectral Analysis of Symmetric Operators: |
| 444 |
|
|
Application to the {L}aplace Tidal Model", |
| 445 |
|
|
journal = jcp, |
| 446 |
|
|
year = 1998, |
| 447 |
|
|
volume = 147, |
| 448 |
|
|
pages = "1--21" |
| 449 |
|
|
} |
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