000 01703 a2200229 4500
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008 250827b ||||| |||| 00| 0 eng d
020 _a9780387220734
041 _aeng
082 _a515.357 KAI/S
100 _aKaipio, Jari
_914437
245 _aStatistical and computational inverse problems
260 _bSpringer
_aNew York
_cc2005
300 _axvi, 339p.; 23cm.
520 _aThis book is aimed at postgraduate students in applied mathematics as well as at engineering and physics students with a ?rm background in mathem- ics. The ?rst four chapters can be used as the material for a ?rst course on inverse problems with a focus on computational and statistical aspects. On the other hand, Chapters 3 and 4, which discuss statistical and nonstati- ary inversion methods, can be used by students already having knowldege of classical inversion methods. There is rich literature, including numerous textbooks, on the classical aspects of inverse problems. From the numerical point of view, these books concentrate on problems in which the measurement errors are either very small or in which the error properties are known exactly. In real-world pr- lems, however, the errors are seldom very small and their properties in the deterministic sensearenot wellknown.For example,inclassicalliteraturethe errornorm is usuallyassumed to be a known realnumber. In reality,the error norm is a random variable whose mean might be known.
650 _aMathematics analysis 
_914438
650 _aDifferential calculus
_9929
650 _aDifferental equations
_97899
700 _aSomersalo, Erkki
_914434
856 _uhttps://doi.org/10.1007/b138659
942 _cBK