The terms sh , incorporate the rounding errors made in the evaluation of ( 34 ) , they are ( elementwise ) bounded by | Sh ; 1 s 14 ; 1 láš ; Inge + ! G ? Ilap Inge + 1 h ; le s 16 ; 1105 ; Inge + 1G ? lap lmp € + 1h ; le + ( 42 ) + 14 ...
This book aims to remedy this state of affairs by supplying an accessible introduction, at a modest mathematical level, to the alluring field of inverse problems.
The results concerning the theory and numerical methods for ill - posed problems can be found in Lavrent'ev ( 1962 ) , Maslov ( 1968 ) , Lions and Lattès ( 1969 ) , Strakhov ( 1969 ) , Romanov ( 1972 , 1982b ) , Romanov et al .
The interchange of ideas reflected the spectrum of questions arising in connection with the subject of the conference, where currently progresses in research are made. This volume contains 17 papers presented at the con ference.
This volume contains twelve survey papers about solution methods for inverse and ill-posed problems and about their application to specific types of inverse problems, e.g., in scattering theory, in tomography and medical applications, in ...
... Hardy Classes and Operator Theory. Oxford University Press, New York, 1985; reprinted by Dover, New York, 1997. (Cited on 60, 76) M. Rosenblum and J. Rovnyak, Topics in Hardy Classes and Univalent Functions. Birkhauser, Basel, 1994.
... equation , Acta Appl . Math . , 24 ( 1991 ) , pp . 1-27 . [ 8 ] L. Eldén , The numerical solution of a non - chracteristic Cauchy problem for a parabolic equation , in Numerical Treatment of Inverse Problems in Differential and Integral ...
... Numerical Treatment of Inverse Problems in Differential and Integral Equations , P. Deuflhard and E. Hainer ( eds . ) . Birkhauser , Boston , 1983 , pp . 246-268 . Eldén , L. Approximations for a Cauchy problem for the heat equation .
Provides a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems.
The chapters in this book are based on talks given at the Fifteenth International Conference on Integral Methods in Science and Engineering, held July 16-20, 2018 at the University of Brighton, UK, and are written by internationally ...
[1] Collocation methods for second kind integral equations with non-compact operators. J. Int. Eq. Appl. 2 (1989) 1–30 ANSELONE, Ph. M.: [1] Collectively compact operator approximation theory and applications to integral equations.