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007 | cr nn 008mamaa | ||
008 | 170212s2015 gw | s |||| 0|eng d | ||
020 |
_a9783319203256 _9978-3-319-20325-6 |
||
024 | 7 |
_a10.1007/978-3-319-20325-6 _2doi |
|
035 | _ato000560281 | ||
040 |
_aSpringer _cSpringer _dRU-ToGU |
||
050 | 4 | _aQA313 | |
072 | 7 |
_aPBWR _2bicssc |
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072 | 7 |
_aMAT034000 _2bisacsh |
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082 | 0 | 4 |
_a515.39 _223 |
082 | 0 | 4 |
_a515.48 _223 |
100 | 1 |
_aLaw, Kody. _eauthor. _9466688 |
|
245 | 1 | 0 |
_aData Assimilation _helectronic resource _bA Mathematical Introduction / _cby Kody Law, Andrew Stuart, Konstantinos Zygalakis. |
250 | _a1st ed. 2015. | ||
260 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2015. |
||
300 |
_aXVIII, 242 p. 61 illus., 41 illus. in color. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
||
337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
||
490 | 1 |
_aTexts in Applied Mathematics, _x0939-2475 ; _v62 |
|
505 | 0 | _aMathematical background -- Discrete Time: Formulation -- Discrete Time: Smoothing Algorithms -- Discrete Time: Filtering Algorithms -- Discrete Time: MATLAB Programs -- Continuous Time: Formulation -- Continuous Time: Smoothing Algorithms -- Continuous Time: Filtering Algorithms -- Continuous Time: MATLAB Programs -- Index. . | |
520 | _aThis book provides a systematic treatment of the mathematical underpinnings of work in data assimilation, covering both theoretical and computational approaches. Specifically the authors develop a unified mathematical framework in which a Bayesian formulation of the problem provides the bedrock for the derivation, development and analysis of algorithms; the many examples used in the text, together with the algorithms which are introduced and discussed, are all illustrated by the MATLAB software detailed in the book and made freely available online. The book is organized into nine chapters: the first contains a brief introduction to the mathematical tools around which the material is organized; the next four are concerned with discrete time dynamical systems and discrete time data; the last four are concerned with continuous time dynamical systems and continuous time data and are organized analogously to the corresponding discrete time chapters. This book is aimed at mathematical researchers interested in a systematic development of this interdisciplinary field, and at researchers from the geosciences, and a variety of other scientific fields, who use tools from data assimilation to combine data with time-dependent models. The numerous examples and illustrations make understanding of the theoretical underpinnings of data assimilation accessible. Furthermore, the examples, exercises and MATLAB software, make the book suitable for students in applied mathema tics, either through a lecture course, or through self-study. . | ||
650 | 0 |
_amathematics. _9566183 |
|
650 | 0 |
_aDynamics. _9460472 |
|
650 | 0 |
_aErgodic theory. _9461180 |
|
650 | 0 |
_aComputer mathematics. _9460896 |
|
650 | 0 |
_aProbabilities. _9295556 |
|
650 | 0 |
_aStatistics. _9124796 |
|
650 | 1 | 4 |
_aMathematics. _9566184 |
650 | 2 | 4 |
_aDynamical Systems and Ergodic Theory. _9303500 |
650 | 2 | 4 |
_aProbability Theory and Stochastic Processes. _9303734 |
650 | 2 | 4 |
_aComputational Mathematics and Numerical Analysis. _9303505 |
650 | 2 | 4 |
_aStatistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. _9410653 |
700 | 1 |
_aStuart, Andrew. _eauthor. _9466689 |
|
700 | 1 |
_aZygalakis, Konstantinos. _eauthor. _9466690 |
|
710 | 2 |
_aSpringerLink (Online service) _9143950 |
|
773 | 0 | _tSpringer eBooks | |
830 | 0 |
_aTexts in Applied Mathematics, _9298055 |
|
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-319-20325-6 |
912 | _aZDB-2-SMA | ||
999 | _c414702 |