| 000 | 02592nam a22004815i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-47773-0 | ||
| 003 | DE-He213 | ||
| 005 | 20160624101827.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 121227s1993 gw | s |||| 0|eng d | ||
| 020 |
_a9783540477730 _9978-3-540-47773-0 |
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| 024 | 7 |
_a10.1007/BFb0088979 _2doi |
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| 050 | 4 | _aQA299.6-433 | |
| 072 | 7 |
_aPBK _2bicssc |
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| 072 | 7 |
_aMAT034000 _2bisacsh |
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| 082 | 0 | 4 |
_a515 _223 |
| 100 | 1 |
_aVainikko, Gennadi. _eauthor. |
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| 245 | 1 | 0 |
_aMultidimensional Weakly Singular Integral Equations _h[electronic resource] / _cby Gennadi Vainikko. |
| 260 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1993. |
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| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1993. |
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| 300 |
_aXII, 168 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1549 |
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| 505 | 0 | _aSome problems leading to multidimensional weakly singular integral equations -- Preliminaries -- Smoothness of the solution -- Outlines of the discrete convergence theory -- Piecewise constant collocation and related methods -- Composite cubature algorithms -- Higher order methods -- Nonlinear integral equation. | |
| 520 | _aThe final aim of the book is to construct effective discretization methods to solve multidimensional weakly singular integral equations of the second kind on a region of Rn e.g. equations arising in the radiation transfer theory. To this end, the smoothness of the solution is examined proposing sharp estimates of the growth of the derivatives of the solution near the boundary G. The superconvergence effect of collocation methods at the collocation points is established. This is a book for graduate students and researchers in the fields of analysis, integral equations, mathematical physics and numerical methods. No special knowledge beyond standard undergraduate courses is assumed. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aGlobal analysis (Mathematics). | |
| 650 | 0 | _aNumerical analysis. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aAnalysis. |
| 650 | 2 | 4 | _aNumerical Analysis. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540568780 |
| 786 | _dSpringer | ||
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1549 |
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| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/BFb0088979 |
| 942 |
_2EBK1611 _cEBK |
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| 999 |
_c30905 _d30905 |
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