SINC APPROXIMATION OF THE HEAT DISTRIBUTION ON THE BOUNDARY OF A TWO-DIMENSIONAL FINITE SLAB
Pham Ngoc Dinh, Alain ; Hoang Quan, Pham ; Duc Trong, Dang
HAL, hal-00012311 / Harvested from HAL
Text on HAL
We consider the two-dimensional problem of recovering globally in time the heat distribution on the surface of a layer inside of a heat conducting body from two interior temperature measurements. The problem is ill-posed. The approximation function is represented by a two-dimensional Sinc series and the error estimate is given.
Publié le : 2008-07-05
Classification:  heat equation,  heat distribution,  Sinc series,  ill-posed problem,  regularization,  35K05, 31A25, 44A35,  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-00012311,
     author = {Pham Ngoc Dinh, Alain and Hoang Quan, Pham and Duc Trong, Dang},
     title = {SINC APPROXIMATION OF THE HEAT DISTRIBUTION ON THE BOUNDARY OF A TWO-DIMENSIONAL FINITE SLAB},
     journal = {HAL},
     volume = {2008},
     number = {0},
     year = {2008},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00012311}
}

Pham Ngoc Dinh, Alain; Hoang Quan, Pham; Duc Trong, Dang. SINC APPROXIMATION OF THE HEAT DISTRIBUTION ON THE BOUNDARY OF A TWO-DIMENSIONAL FINITE SLAB. HAL, Tome 2008 (2008) no. 0, . http://gdmltest.u-ga.fr/item/hal-00012311/