-
1
-
-
33746272877
-
On Cauchy's problem: II. Completion, regularization and approximation
-
Azaez M, Ben Belgacem F and El Fekih H 2006 On Cauchy's problem: II. Completion, regularization and approximation Inverse Problems 22 1307-36
-
(2006)
Inverse Problems
, vol.22
, Issue.4
, pp. 1307-1336
-
-
Azaez, M.1
Ben Belgacem, F.2
El Fekih, H.3
-
2
-
-
31844434943
-
Solving Cauchy problems by minimizing an energy-like functional
-
Andrieux S, Baranger T N and Ben Abda A 2006 Solving Cauchy problems by minimizing an energy-like functional Inverse Problems 22 115-33
-
(2006)
Inverse Problems
, vol.22
, Issue.1
, pp. 115-133
-
-
Andrieux, S.1
Baranger, T.N.2
Ben Abda, A.3
-
3
-
-
33645309035
-
Formulation of the problem of sonic boom by a maneuvering aerofoil as a one-parameter family of Cauchy problems
-
Baskar S and Prasad P 2006 Formulation of the problem of sonic boom by a maneuvering aerofoil as a one-parameter family of Cauchy problems Proc. Indian Acad. Sci. Math. Sci. 116 97-119
-
(2006)
Proc. Indian Acad. Sci. Math. Sci.
, vol.116
, pp. 97-119
-
-
Baskar, S.1
Prasad, P.2
-
4
-
-
28544445998
-
On Cauchy's problem: I. A variational Steklov-Poincaré theory
-
Ben Belgacem F and El Fekih H 2005 On Cauchy's problem: I. A variational Steklov-Poincaré theory Inverse Problems 21 1915-36
-
(2005)
Inverse Problems
, vol.21
, Issue.6
, pp. 1915-1936
-
-
Ben Belgacem, F.1
El Fekih, H.2
-
5
-
-
3843145156
-
Bases of exponentials, cosines, and sines formed by eigenfunctions of differential operators
-
Bilalov B T 2003 Bases of exponentials, cosines, and sines formed by eigenfunctions of differential operators Diff. Eqns 39 652-7
-
(2003)
Diff. Eqns
, vol.39
, Issue.5
, pp. 652-657
-
-
Bilalov, B.T.1
-
6
-
-
0343772980
-
Numerical solution of a Cauchy problem for the Laplace equation
-
Berntsson F and Eldén L 2001 Numerical solution of a Cauchy problem for the Laplace equation Inverse Problems 17 839-53 (Special issue to celebrate Pierre Sabatier's 65th birthday (Montpellier, 2000))
-
(2001)
Inverse Problems
, vol.17
, Issue.4
, pp. 839-853
-
-
Berntsson, F.1
Eldén, L.2
-
7
-
-
33645303206
-
Convergence rates for the quasi-reversibility method to solve the Cauchy problem for Laplace's equation
-
Bourgeois L 2006 Convergence rates for the quasi-reversibility method to solve the Cauchy problem for Laplace's equation Inverse Problems 22 413-30
-
(2006)
Inverse Problems
, vol.22
, Issue.2
, pp. 413-430
-
-
Bourgeois, L.1
-
8
-
-
18744373648
-
A mixed formulation of quasi-reversibility to solve the Cauchy problem for Laplace's equation
-
Bourgeois L 2005 A mixed formulation of quasi-reversibility to solve the Cauchy problem for Laplace's equation Inverse Problems 21 1087-104
-
(2005)
Inverse Problems
, vol.21
, Issue.3
, pp. 1087-1104
-
-
Bourgeois, L.1
-
9
-
-
0037272436
-
Self-regularization of projection methods with a posteriori discretization level choice for severely ill-posed problems
-
Bruckner G and Pereverzev S V 2003 Self-regularization of projection methods with a posteriori discretization level choice for severely ill-posed problems Inverse Problems 19 147-56
-
(2003)
Inverse Problems
, vol.19
, Issue.1
, pp. 147-156
-
-
Bruckner, G.1
Pereverzev, S.V.2
-
10
-
-
0001191809
-
Stability for an inverse boundary problem of determining a part of a boundary
-
Bukhgeim A L, Cheng J and Yamamoto M 1999 Stability for an inverse boundary problem of determining a part of a boundary Inverse Problems 15 1021-32
-
(1999)
Inverse Problems
, vol.15
, Issue.4
, pp. 1021-1032
-
-
Bukhgeim, A.L.1
Cheng, J.2
Yamamoto, M.3
-
11
-
-
33746287735
-
Convergence analysis for finite element approximation to an inverse Cauchy problem
-
Chakib A and Nachaoui A 2006 Convergence analysis for finite element approximation to an inverse Cauchy problem Inverse Problems 22 1191-206
-
(2006)
Inverse Problems
, vol.22
, Issue.4
, pp. 1191-1206
-
-
Chakib, A.1
Nachaoui, A.2
-
12
-
-
0035363955
-
Solution of the Cauchy problem using iterated Tikhonov regularization
-
Cimetière A, Delvare F, Jaoua M and Pons F 2001 Solution of the Cauchy problem using iterated Tikhonov regularization Inverse Problems 17 553-70
-
(2001)
Inverse Problems
, vol.17
, Issue.3
, pp. 553-570
-
-
Cimetière, A.1
Delvare, F.2
Jaoua, M.3
Pons, F.4
-
14
-
-
0035518988
-
A Mann iterative regularization method for elliptic Cauchy problems
-
Engl H W and Leito A 2001 A Mann iterative regularization method for elliptic Cauchy problems Numer. Funct. Anal. Optim. 22 861-84
-
(2001)
Numer. Funct. Anal. Optim.
, vol.22
, Issue.7-8
, pp. 861-884
-
-
Engl, H.W.1
Leito, A.2
-
16
-
-
0022360366
-
A mathematical procedure for solving the inverse potential problem of electrocardiography. Analysis of the time-space accuracy from in vitro experimental data
-
Franzone Colli P, Guerri L, Tentoni S, Viganotti C, Baruffi S, Spaggiari S and Taccardi B 1985 A mathematical procedure for solving the inverse potential problem of electrocardiography. Analysis of the time-space accuracy from in vitro experimental data Math. Biosci. 77 353-96
-
(1985)
Math. Biosci.
, vol.77
, Issue.1-2
, pp. 353-396
-
-
Franzone Colli, P.1
Guerri, L.2
Tentoni, S.3
Viganotti, C.4
Baruffi, S.5
Spaggiari, S.6
Taccardi, B.7
-
17
-
-
51249182572
-
On the inverse potential problem of electrocardiology
-
Franzone Colli P and Magenes E 1979 On the inverse potential problem of electrocardiology Calcolo 16 459-538
-
(1979)
Calcolo
, vol.16
, Issue.4
, pp. 459-538
-
-
Franzone Colli, P.1
Magenes, E.2
-
19
-
-
0013018579
-
Convergence of a general projection method for an operator equation of the first kind
-
Groetsch C W and Neubauer A 1988 Convergence of a general projection method for an operator equation of the first kind Houston J. Math. 14 201-08
-
(1988)
Houston J. Math.
, vol.14
, pp. 201-208
-
-
Groetsch, C.W.1
Neubauer, A.2
-
20
-
-
0041691885
-
Some stability estimates for Cauchy problems for elliptic equations
-
Han H and Reinhardt H J 1997 Some stability estimates for Cauchy problems for elliptic equations J. Inverse Ill-Posed Probl. 5 437-54
-
(1997)
J. Inverse Ill-Posed Probl.
, vol.5
, pp. 437-454
-
-
Han, H.1
Reinhardt, H.J.2
-
21
-
-
0035306176
-
Backus-Gilbert algorithm for the Cauchy problem of the Laplace equation
-
Hon Y C and Wei T 2001 Backus-Gilbert algorithm for the Cauchy problem of the Laplace equation Inverse Problems 17 261-71
-
(2001)
Inverse Problems
, vol.17
, Issue.2
, pp. 261-271
-
-
Hon, Y.C.1
Wei, T.2
-
23
-
-
0041734177
-
Regularization by projection with a posteriori discretization level choice for linear and nonlinear ill-posed problems
-
Kaltenbacher B 2000 Regularization by projection with a posteriori discretization level choice for linear and nonlinear ill-posed problems Inverse Problems 16 1523-39
-
(2000)
Inverse Problems
, vol.16
, Issue.5
, pp. 1523-1539
-
-
Kaltenbacher, B.1
-
24
-
-
0742288818
-
Mean value iterations for nonlinear elliptic Cauchy problems
-
Kügler P and Leito A 2003 Mean value iterations for nonlinear elliptic Cauchy problems Numer. Math. 96 269-93
-
(2003)
Numer. Math.
, vol.96
, Issue.2
, pp. 269-293
-
-
Kügler, P.1
Leito, A.2
-
25
-
-
41449111988
-
On the balancing principle for some problems of numerical analysis
-
Lazarov R D, Lu S and Pereverzyev S V 2005 On the balancing principle for some problems of numerical analysis RICAM Report 25 (Austria: RICAM)
-
(2005)
RICAM Report
-
-
Lazarov, R.D.1
Lu, S.2
Pereverzyev, S.V.3
-
26
-
-
0034250874
-
An iterative method for solving elliptic Cauchy problems
-
Leito A 2000 An iterative method for solving elliptic Cauchy problems Numer. Funct. Anal. Optim. 21 715-42
-
(2000)
Numer. Funct. Anal. Optim.
, vol.21
, Issue.5
, pp. 715-742
-
-
Leito, A.1
-
27
-
-
0347557399
-
Convergence of approximate solutions of an operator equation
-
Luecke G R and Hickey K R 1985 Convergence of approximate solutions of an operator equation Houston J. Math. 11 345-54
-
(1985)
Houston J. Math.
, vol.11
, pp. 345-354
-
-
Luecke, G.R.1
Hickey, K.R.2
-
28
-
-
0346946904
-
Discretization strategy for linear ill-posed problems in variable Hilbert scales
-
Mathé P and Pereverzev S V 2003 Discretization strategy for linear ill-posed problems in variable Hilbert scales Inverse Problems 19 1263-77
-
(2003)
Inverse Problems
, vol.19
, Issue.6
, pp. 1263-1277
-
-
Mathé, P.1
Pereverzev, S.V.2
-
29
-
-
0000363718
-
Regularisierung schlecht gestellter Probleme durch Projektionsverfahren
-
Natterer F 1977 Regularisierung schlecht gestellter Probleme durch Projektionsverfahren Numer. Math. 28 329-41 (in German)
-
(1977)
Numer. Math.
, vol.28
, Issue.3
, pp. 329-341
-
-
Natterer, F.1
-
30
-
-
4644355279
-
Operator ideals
-
Pietsch A 1978 Operator ideals Mathematische Monographien (Mathematical Monographs vol 16) (Berlin: VEB Deutscher Verlag der Wissenschaften) p 451
-
(1978)
Mathematische Monographien
, pp. 451
-
-
Pietsch, A.1
-
31
-
-
0001189418
-
Stability and regularization of a discrete approximation to the Cauchy problem for Laplace's equation
-
Reinhardt H J, Han H and Ho D H 1999 Stability and regularization of a discrete approximation to the Cauchy problem for Laplace's equation SIAM J. Numer. Anal. 36 890-905 (electronic)
-
(1999)
SIAM J. Numer. Anal.
, vol.36
, Issue.3
, pp. 890-905
-
-
Reinhardt, H.J.1
Han, H.2
Ho, D.H.3
-
32
-
-
0008522406
-
Nonconvergence results for the application of least-squares estimation to ill-posed problems
-
Seidman T I 1980 Nonconvergence results for the application of least-squares estimation to ill-posed problems J. Optim. Theory Appl. 30 535-47
-
(1980)
J. Optim. Theory Appl.
, vol.30
, Issue.4
, pp. 535-547
-
-
Seidman, T.I.1
-
33
-
-
21444446911
-
Optimal stable solution of Cauchy problems for elliptic equations
-
Tautenhahn U 1996 Optimal stable solution of Cauchy problems for elliptic equations Z. Anal. Anwendungen 15 961-84
-
(1996)
Z. Anal. Anwendungen
, vol.15
, pp. 961-984
-
-
Tautenhahn, U.1
|