Inverse Problems for Multi-Dimensional Parabolic Partial Differential EquationsSource: Applied Mechanics Reviews:;1988:;volume( 041 ):;issue: 006::page 263Author:Edward Hensel
DOI: 10.1115/1.3151898Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The parabolic inverse boundary value problem is defined, and the major characteristics common to multi-dimensional parabolic inverse problems are discussed. These include sensitivity to measurement error and noise, the value of future time information, the nonuniqueness of estimates, and the effects of temperature dependent thermal properties. The importance of quantifying resolution degradation and estimate variances is discussed.
keyword(s): Inverse problems , Partial differential equations , Resolution (Optics) , Noise (Sound) , Temperature effects , Thermal properties , Boundary-value problems AND Errors ,
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| contributor author | Edward Hensel | |
| date accessioned | 2017-05-08T23:26:19Z | |
| date available | 2017-05-08T23:26:19Z | |
| date copyright | June, 1988 | |
| date issued | 1988 | |
| identifier issn | 0003-6900 | |
| identifier other | AMREAD-25562#263_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/103392 | |
| description abstract | The parabolic inverse boundary value problem is defined, and the major characteristics common to multi-dimensional parabolic inverse problems are discussed. These include sensitivity to measurement error and noise, the value of future time information, the nonuniqueness of estimates, and the effects of temperature dependent thermal properties. The importance of quantifying resolution degradation and estimate variances is discussed. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Inverse Problems for Multi-Dimensional Parabolic Partial Differential Equations | |
| type | Journal Paper | |
| journal volume | 41 | |
| journal issue | 6 | |
| journal title | Applied Mechanics Reviews | |
| identifier doi | 10.1115/1.3151898 | |
| journal fristpage | 263 | |
| journal lastpage | 269 | |
| identifier eissn | 0003-6900 | |
| keywords | Inverse problems | |
| keywords | Partial differential equations | |
| keywords | Resolution (Optics) | |
| keywords | Noise (Sound) | |
| keywords | Temperature effects | |
| keywords | Thermal properties | |
| keywords | Boundary-value problems AND Errors | |
| tree | Applied Mechanics Reviews:;1988:;volume( 041 ):;issue: 006 | |
| contenttype | Fulltext |