000 | 04030nam a22006135i 4500 | ||
---|---|---|---|
001 | 978-3-540-45658-2 | ||
003 | DE-He213 | ||
005 | 20190213151556.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s2002 gw | s |||| 0|eng d | ||
020 |
_a9783540456582 _9978-3-540-45658-2 |
||
024 | 7 |
_a10.1007/b84019 _2doi |
|
050 | 4 | _aQA331-355 | |
072 | 7 |
_aPBKD _2bicssc |
|
072 | 7 |
_aMAT034000 _2bisacsh |
|
072 | 7 |
_aPBKD _2thema |
|
082 | 0 | 4 |
_a515.9 _223 |
100 | 1 |
_aAng, Dang Dinh. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aMoment Theory and Some Inverse Problems in Potential Theory and Heat Conduction _h[electronic resource] / _cby Dang Dinh Ang, Rudolf Gorenflo, Vy Khoi Le, Dang Duc Trong. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2002. |
|
300 |
_aX, 186 p. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
||
337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
||
347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1792 |
|
505 | 0 | _aIntroduction -- Mathematical Preliminaries -- Regularization of moment problems by trancated expansion and by the Tikhonov method -- Backus-Gilbert regularization of a moment problem -- The Hausdorff moment problem: regularization and error estimates -- Analytic functions: reconstruction and Sinc approximations -- Regularization of some inverse problems in potential theory -- Regularization of some inverse problems in heat conduction -- Epilogue -- References -- Index. | |
520 | _aMoment Theory is not a new subject; however, in classical treatments, the ill-posedness of the problem is not taken into account - hence this monograph. Assuming a "true" solution to be uniquely determined by a sequence of moments (given as integrals) of which only finitely many are inaccurately given, the authors describe and analyze several regularization methods and derive stability estimates. Mathematically, the task often consists in the reconstruction of an analytic or harmonic function, as is natural from concrete applications discussed (e.g. inverse heat conduction problems, Cauchy's problem for the Laplace equation, gravimetry). The book can be used in a graduate or upper undergraduate course in Inverse Problems, or as supplementary reading for a course on Applied Partial Differential Equations. | ||
650 | 0 | _aFunctions of complex variables. | |
650 | 0 | _aPotential theory (Mathematics). | |
650 | 0 | _aDifferential equations, partial. | |
650 | 0 | _aIntegral Transforms. | |
650 | 0 | _aIntegral equations. | |
650 | 0 | _aOperator theory. | |
650 | 1 | 4 |
_aFunctions of a Complex Variable. _0http://scigraph.springernature.com/things/product-market-codes/M12074 |
650 | 2 | 4 |
_aPotential Theory. _0http://scigraph.springernature.com/things/product-market-codes/M12163 |
650 | 2 | 4 |
_aPartial Differential Equations. _0http://scigraph.springernature.com/things/product-market-codes/M12155 |
650 | 2 | 4 |
_aIntegral Transforms, Operational Calculus. _0http://scigraph.springernature.com/things/product-market-codes/M12112 |
650 | 2 | 4 |
_aIntegral Equations. _0http://scigraph.springernature.com/things/product-market-codes/M12090 |
650 | 2 | 4 |
_aOperator Theory. _0http://scigraph.springernature.com/things/product-market-codes/M12139 |
700 | 1 |
_aGorenflo, Rudolf. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
700 | 1 |
_aLe, Vy Khoi. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
700 | 1 |
_aTrong, Dang Duc. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662182925 |
776 | 0 | 8 |
_iPrinted edition: _z9783540440062 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1792 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/b84019 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c11151 _d11151 |