-
1
-
-
0003277393
-
Regularization of inverse problems
-
Kluwer Academic Publishers Group, Dordrecht
-
Engl H.W., Hanke M., and Neubauer A. Regularization of inverse problems. Mathematics and its Applications vol. 375 (1996), Kluwer Academic Publishers Group, Dordrecht
-
(1996)
Mathematics and its Applications
, vol.375
-
-
Engl, H.W.1
Hanke, M.2
Neubauer, A.3
-
2
-
-
0003368014
-
The theory of Tikhonov regularization for Fredholm equations of the first kind
-
Pitman Advanced Publishing Program, Boston, MA
-
Groetsch C.W. The theory of Tikhonov regularization for Fredholm equations of the first kind. Research Notes in Mathematics vol. 105 (1984), Pitman Advanced Publishing Program, Boston, MA
-
(1984)
Research Notes in Mathematics
, vol.105
-
-
Groetsch, C.W.1
-
3
-
-
0003664883
-
-
V.H. Winston & Sons/Wiley, Washington, DC, New York
-
Tikhonov A.N., and Arsenin V.Y. Solutions of Ill-posed Problems (1977), V.H. Winston & Sons/Wiley, Washington, DC, New York
-
(1977)
Solutions of Ill-posed Problems
-
-
Tikhonov, A.N.1
Arsenin, V.Y.2
-
4
-
-
0001464670
-
Examples of instability in inverse boundary-value problems
-
Alessandrini G. Examples of instability in inverse boundary-value problems. Inverse Probl 13 4 (1997) 887-897
-
(1997)
Inverse Probl
, vol.13
, Issue.4
, pp. 887-897
-
-
Alessandrini, G.1
-
5
-
-
0036798099
-
Detecting cavities by electrostatic boundary measurements
-
Alessandrini G., Morassi A., and Rosset E. Detecting cavities by electrostatic boundary measurements. Inverse Probl 18 5 (2002) 1333-1353
-
(2002)
Inverse Probl
, vol.18
, Issue.5
, pp. 1333-1353
-
-
Alessandrini, G.1
Morassi, A.2
Rosset, E.3
-
6
-
-
0032271479
-
Stable determination of boundaries from Cauchy data
-
(electronic)
-
Beretta E., and Vessella S. Stable determination of boundaries from Cauchy data. SIAM J Math Anal 30 1 (1999) 220-232 (electronic)
-
(1999)
SIAM J Math Anal
, vol.30
, Issue.1
, pp. 220-232
-
-
Beretta, E.1
Vessella, S.2
-
7
-
-
0002501436
-
Conditional stability in an inverse problem of determining a non-smooth boundary
-
Bukhgeim A.L., Cheng J., and Yamamoto M. Conditional stability in an inverse problem of determining a non-smooth boundary. J Math Anal Appl 242 1 (2000) 57-74
-
(2000)
J Math Anal Appl
, vol.242
, Issue.1
, pp. 57-74
-
-
Bukhgeim, A.L.1
Cheng, J.2
Yamamoto, M.3
-
8
-
-
18744366101
-
Conformal mappings and inverse boundary value problems
-
Haddar H., and Kress R. Conformal mappings and inverse boundary value problems. Inverse Probl 21 3 (2005) 935-953
-
(2005)
Inverse Probl
, vol.21
, Issue.3
, pp. 935-953
-
-
Haddar, H.1
Kress, R.2
-
9
-
-
4043050160
-
Corrosion detection in conducting boundaries
-
Inglese G., and Mariani F. Corrosion detection in conducting boundaries. Inverse Probl 20 4 (2004) 1207-1215
-
(2004)
Inverse Probl
, vol.20
, Issue.4
, pp. 1207-1215
-
-
Inglese, G.1
Mariani, F.2
-
10
-
-
23244456330
-
Nonlinear integral equations and the iterative solution for an inverse boundary value problem
-
Kress R., and Rundell W. Nonlinear integral equations and the iterative solution for an inverse boundary value problem. Inverse Probl 21 4 (2005) 1207-1223
-
(2005)
Inverse Probl
, vol.21
, Issue.4
, pp. 1207-1223
-
-
Kress, R.1
Rundell, W.2
-
11
-
-
23244448410
-
Boundary identification for a 3D Laplace equation using a genetic algorithm
-
Mera N.S., Elliott L., and Ingham D.B. Boundary identification for a 3D Laplace equation using a genetic algorithm. Comput Methods Appl Mech Eng 194 42-44 (2005) 4411-4424
-
(2005)
Comput Methods Appl Mech Eng
, vol.194
, Issue.42-44
, pp. 4411-4424
-
-
Mera, N.S.1
Elliott, L.2
Ingham, D.B.3
-
12
-
-
0041876254
-
An improved implementation of an iterative method in boundary identification problems
-
(International conference on numerical algorithms, vol. I, Marrakesh, 2001)
-
Nachaoui A. An improved implementation of an iterative method in boundary identification problems. Numer Algorithms 33 1-4 (2003) 381-398 (International conference on numerical algorithms, vol. I, Marrakesh, 2001)
-
(2003)
Numer Algorithms
, vol.33
, Issue.1-4
, pp. 381-398
-
-
Nachaoui, A.1
-
13
-
-
0036684771
-
An inverse boundary problem for the steady-diffusion equation with moving boundaries with applications to the pearlite-austenite transformation in steel
-
Aparicio N.D., and Atkinson C. An inverse boundary problem for the steady-diffusion equation with moving boundaries with applications to the pearlite-austenite transformation in steel. Inverse Probl 18 4 (2002) 1013-1023
-
(2002)
Inverse Probl
, vol.18
, Issue.4
, pp. 1013-1023
-
-
Aparicio, N.D.1
Atkinson, C.2
-
14
-
-
13744263916
-
Reconstruction of an unknown boundary portion from Cauchy data in n dimensions
-
Bryan K., and Caudill L. Reconstruction of an unknown boundary portion from Cauchy data in n dimensions. Inverse Probl 21 1 (2005) 239-255
-
(2005)
Inverse Probl
, vol.21
, Issue.1
, pp. 239-255
-
-
Bryan, K.1
Caudill, L.2
-
15
-
-
0030164963
-
An inverse problem in thermal imaging
-
Bryan K., and Caudill Jr. L.F. An inverse problem in thermal imaging. SIAM J Appl Math 56 3 (1996) 715-735
-
(1996)
SIAM J Appl Math
, vol.56
, Issue.3
, pp. 715-735
-
-
Bryan, K.1
Caudill Jr., L.F.2
-
16
-
-
0000298012
-
Stability and reconstruction for an inverse problem for the heat equation
-
Bryan K., and Caudill Jr. L.F. Stability and reconstruction for an inverse problem for the heat equation. Inverse Probl 14 6 (1998) 1429-1453
-
(1998)
Inverse Probl
, vol.14
, Issue.6
, pp. 1429-1453
-
-
Bryan, K.1
Caudill Jr., L.F.2
-
17
-
-
0003311898
-
The one-dimensional heat equation
-
Addison-Wesley Publishing Company Advanced Book Program, Reading, MA
-
Cannon J.R. The one-dimensional heat equation. Encyclopedia of mathematics and its applications vol. 23 (1984), Addison-Wesley Publishing Company Advanced Book Program, Reading, MA
-
(1984)
Encyclopedia of mathematics and its applications
, vol.23
-
-
Cannon, J.R.1
-
18
-
-
0035981912
-
Quantitative estimates of unique continuation for parabolic and inverse initial-boundary value problems with unknown boundaries
-
(electronic)
-
Canuto B., Rosset E., and Vessella S. Quantitative estimates of unique continuation for parabolic and inverse initial-boundary value problems with unknown boundaries. Trans Am Math Soc 354 2 (2002) 491-535 (electronic)
-
(2002)
Trans Am Math Soc
, vol.354
, Issue.2
, pp. 491-535
-
-
Canuto, B.1
Rosset, E.2
Vessella, S.3
-
19
-
-
0041012141
-
On the numerical solution of an inverse boundary value problem for the heat equation
-
Chapko R., Kress R., and Yoon J.R. On the numerical solution of an inverse boundary value problem for the heat equation. Inverse Probl 14 4 (1998) 853-867
-
(1998)
Inverse Probl
, vol.14
, Issue.4
, pp. 853-867
-
-
Chapko, R.1
Kress, R.2
Yoon, J.R.3
-
20
-
-
0033363588
-
An inverse boundary value problem for the heat equation: the Neumann condition
-
Chapko R., Kress R., and Yoon J.R. An inverse boundary value problem for the heat equation: the Neumann condition. Inverse Probl 15 4 (1999) 1033-1046
-
(1999)
Inverse Probl
, vol.15
, Issue.4
, pp. 1033-1046
-
-
Chapko, R.1
Kress, R.2
Yoon, J.R.3
-
21
-
-
3042554530
-
A comparison of the Landweber method and the Gauss-Newton method for an inverse parabolic boundary value problem
-
Chapko R., and Kügler P. A comparison of the Landweber method and the Gauss-Newton method for an inverse parabolic boundary value problem. J Comput Appl Math 169 1 (2004) 183-196
-
(2004)
J Comput Appl Math
, vol.169
, Issue.1
, pp. 183-196
-
-
Chapko, R.1
Kügler, P.2
-
22
-
-
0000267810
-
Stability estimates in an inverse problem for a three-dimensional heat equation
-
Vessella S. Stability estimates in an inverse problem for a three-dimensional heat equation. SIAM J Math Anal 28 6 (1997) 1354-1370
-
(1997)
SIAM J Math Anal
, vol.28
, Issue.6
, pp. 1354-1370
-
-
Vessella, S.1
-
23
-
-
5844311098
-
A one-phase inverse Stefan problem
-
Badia A.El., and Moutazaim F. A one-phase inverse Stefan problem. Inverse Probl 15 6 (1999) 1507-1522
-
(1999)
Inverse Probl
, vol.15
, Issue.6
, pp. 1507-1522
-
-
Badia, A.El.1
Moutazaim, F.2
-
24
-
-
10844280684
-
A boundary identification method for an inverse heat conduction problem with an application in ironmaking
-
Fredman T.P. A boundary identification method for an inverse heat conduction problem with an application in ironmaking. Heat Mass Transfer 41 (2004) 95-103
-
(2004)
Heat Mass Transfer
, vol.41
, pp. 95-103
-
-
Fredman, T.P.1
-
25
-
-
0021466296
-
An inverse finite element technique to determine the change of phase interface location in one dimensional melting problem
-
Katz M.A., and Reemtsen R. An inverse finite element technique to determine the change of phase interface location in one dimensional melting problem. Numer Heat Transfer 7 (1984) 269-283
-
(1984)
Numer Heat Transfer
, vol.7
, pp. 269-283
-
-
Katz, M.A.1
Reemtsen, R.2
-
26
-
-
0031258642
-
A comparative study of domain embedding methods for regularized solutions of inverse Stefan problems
-
Liu J., and Guerrier B. A comparative study of domain embedding methods for regularized solutions of inverse Stefan problems. Int J Numer Methods Eng 40 19 (1997) 3579-3600
-
(1997)
Int J Numer Methods Eng
, vol.40
, Issue.19
, pp. 3579-3600
-
-
Liu, J.1
Guerrier, B.2
-
27
-
-
0347137141
-
On continuous dependence, on noncharacteristic Cauchy data, for level lines of solutions of the heat equation
-
Manselli P., and Vessella S. On continuous dependence, on noncharacteristic Cauchy data, for level lines of solutions of the heat equation. Forum Math 3 5 (1991) 513-521
-
(1991)
Forum Math
, vol.3
, Issue.5
, pp. 513-521
-
-
Manselli, P.1
Vessella, S.2
-
28
-
-
0032344733
-
The method of fundamental solutions for elliptic boundary value problems
-
Fairweather G., and Karageorghis A. The method of fundamental solutions for elliptic boundary value problems. Adv Comput Math 9 1-2 (1998) 69-95
-
(1998)
Adv Comput Math
, vol.9
, Issue.1-2
, pp. 69-95
-
-
Fairweather, G.1
Karageorghis, A.2
-
29
-
-
0000776101
-
The method of fundamental solutions for potential, Helmholtz and diffusion problems
-
WIT Press/Computational Mechanics Publications, Boston, MA
-
Golberg M.A., and Chen C.S. The method of fundamental solutions for potential, Helmholtz and diffusion problems. Boundary integral methods: numerical and mathematical aspects. Computational Engineering vol. 1 (1999), WIT Press/Computational Mechanics Publications, Boston, MA 103-176
-
(1999)
Boundary integral methods: numerical and mathematical aspects. Computational Engineering
, vol.1
, pp. 103-176
-
-
Golberg, M.A.1
Chen, C.S.2
-
30
-
-
0000961906
-
A mathematical study of the charge simulation method I
-
Katsurada M., and Okamoto H. A mathematical study of the charge simulation method I. J Fac Sci Univ Tokyo Sect IA Math 35 3 (1988) 507-518
-
(1988)
J Fac Sci Univ Tokyo Sect IA Math
, vol.35
, Issue.3
, pp. 507-518
-
-
Katsurada, M.1
Okamoto, H.2
-
31
-
-
0005144738
-
A mathematical study of the charge simulation method. II
-
Katsurada M. A mathematical study of the charge simulation method. II. J Fac Sci Univ Tokyo Sect IA Math 36 (1989)
-
(1989)
J Fac Sci Univ Tokyo Sect IA Math
, vol.36
-
-
Katsurada, M.1
-
32
-
-
17644417110
-
A meshless method for the numerical solution of Cauchy problem associated with three-dimensional Helmholtz-type equations
-
Marin L. A meshless method for the numerical solution of Cauchy problem associated with three-dimensional Helmholtz-type equations. Appl Math Comput 165 (2005) 355-374
-
(2005)
Appl Math Comput
, vol.165
, pp. 355-374
-
-
Marin, L.1
-
33
-
-
11344277052
-
The method of fundamental solutions for the Cauchy problem associated with two-dimensional Helmholtz-type equations
-
Marin L., and Lesnic D. The method of fundamental solutions for the Cauchy problem associated with two-dimensional Helmholtz-type equations. Comput Struct 83 (2005) 267-278
-
(2005)
Comput Struct
, vol.83
, pp. 267-278
-
-
Marin, L.1
Lesnic, D.2
-
34
-
-
26844436520
-
The method of fundamental solutions for inverse boundary value problems associated with the two-dimensional biharmonic equation
-
Marin L., and Lesnic D. The method of fundamental solutions for inverse boundary value problems associated with the two-dimensional biharmonic equation. Math Comput Modelling 42 3-4 (2005) 261-278
-
(2005)
Math Comput Modelling
, vol.42
, Issue.3-4
, pp. 261-278
-
-
Marin, L.1
Lesnic, D.2
-
35
-
-
27544445360
-
A meshless method for solving the Cauchy problem in three-dimensional elastostatics
-
Marin L. A meshless method for solving the Cauchy problem in three-dimensional elastostatics. Comput Math Appl 50 1-2 (2005) 73-92
-
(2005)
Comput Math Appl
, vol.50
, Issue.1-2
, pp. 73-92
-
-
Marin, L.1
-
36
-
-
33644595481
-
A meshless method for some inverse problems associated with the Helmholtz equation
-
Jin B., and Zheng Y. A meshless method for some inverse problems associated with the Helmholtz equation. Comput Methods Appl Mech Eng 195 19-22 (2006) 2270-2288
-
(2006)
Comput Methods Appl Mech Eng
, vol.195
, Issue.19-22
, pp. 2270-2288
-
-
Jin, B.1
Zheng, Y.2
-
37
-
-
8744271409
-
Uniqueness and convergence of numerical solution of the Cauchy problem for the Laplace equation by a charge simulation method
-
Ohe T., and Ohnaka K. Uniqueness and convergence of numerical solution of the Cauchy problem for the Laplace equation by a charge simulation method. Jpn J Ind Appl Math 21 3 (2004) 339-359
-
(2004)
Jpn J Ind Appl Math
, vol.21
, Issue.3
, pp. 339-359
-
-
Ohe, T.1
Ohnaka, K.2
-
38
-
-
56949108294
-
-
T. Wei, D.Y. Zhou, Convergence analysis for the Cauchy problem of Laplace's equation by a regularized method of fundamental solutions, preprint.
-
T. Wei, D.Y. Zhou, Convergence analysis for the Cauchy problem of Laplace's equation by a regularized method of fundamental solutions, preprint.
-
-
-
-
39
-
-
1842842972
-
A fundamental solution method for inverse heat conduction problem
-
Hon Y.C., and Wei T. A fundamental solution method for inverse heat conduction problem. Eng Anal Boundary Elem 28 (2004) 489-495
-
(2004)
Eng Anal Boundary Elem
, vol.28
, pp. 489-495
-
-
Hon, Y.C.1
Wei, T.2
-
40
-
-
15544363903
-
The method of fundamental solution for solving multidimensional inverse heat conduction problems
-
Hon Y.C., and Wei T. The method of fundamental solution for solving multidimensional inverse heat conduction problems. CMES Comput Model Eng Sci 7 2 (2005) 119-132
-
(2005)
CMES Comput Model Eng Sci
, vol.7
, Issue.2
, pp. 119-132
-
-
Hon, Y.C.1
Wei, T.2
-
41
-
-
12344271462
-
The method of fundamental solutions for the backward heat conduction problem
-
Mera N.S. The method of fundamental solutions for the backward heat conduction problem. Inverse Probl Sci Eng 13 1 (2005) 65-78
-
(2005)
Inverse Probl Sci Eng
, vol.13
, Issue.1
, pp. 65-78
-
-
Mera, N.S.1
-
42
-
-
56949103115
-
-
Wei T, Yamamoto M. Reconstruction of a moving boundary from Cauchy data in one dimensional heat equation. Inverse Probl Sci Eng, to appear.
-
Wei T, Yamamoto M. Reconstruction of a moving boundary from Cauchy data in one dimensional heat equation. Inverse Probl Sci Eng, to appear.
-
-
-
-
43
-
-
0008215313
-
On a method for the approximation solution of limiting problems in mathematical physics
-
Kupradze V.D. On a method for the approximation solution of limiting problems in mathematical physics. USSR Comput Math Math Phys 4 (1964) 1118-1121
-
(1964)
USSR Comput Math Math Phys
, vol.4
, pp. 1118-1121
-
-
Kupradze, V.D.1
-
44
-
-
0001273835
-
Regularization methods for large-scale problems
-
Hanke M., and Hansen P.C. Regularization methods for large-scale problems. Surv Math Ind 3 4 (1993) 253-315
-
(1993)
Surv Math Ind
, vol.3
, Issue.4
, pp. 253-315
-
-
Hanke, M.1
Hansen, P.C.2
-
45
-
-
0000570697
-
Analysis of discrete ill-posed problems by means of the L-curve
-
Hansen P.C. Analysis of discrete ill-posed problems by means of the L-curve. SIAM Rev 34 4 (1992) 561-580
-
(1992)
SIAM Rev
, vol.34
, Issue.4
, pp. 561-580
-
-
Hansen, P.C.1
-
46
-
-
13344267706
-
Regularization tools: a Matlab package for analysis and solution of discrete ill-posed problems
-
Hansen P.C. Regularization tools: a Matlab package for analysis and solution of discrete ill-posed problems. Numer Algorithms 6 1-2 (1994) 1-35
-
(1994)
Numer Algorithms
, vol.6
, Issue.1-2
, pp. 1-35
-
-
Hansen, P.C.1
-
47
-
-
33847032040
-
Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators
-
Wei T., Hon Y.C., and Ling L. Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators. Eng Anal Boundary Elem 31 4 (2007) 373-385
-
(2007)
Eng Anal Boundary Elem
, vol.31
, Issue.4
, pp. 373-385
-
-
Wei, T.1
Hon, Y.C.2
Ling, L.3
-
48
-
-
34250263445
-
Smoothing noisy data with spline functions. Estimating the correct degree of smoothing by the method of generalized cross-validation
-
Craven P., and Wahba G. Smoothing noisy data with spline functions. Estimating the correct degree of smoothing by the method of generalized cross-validation. Numer Math 31 4 (1978/1979) 377-403
-
(1978)
Numer Math
, vol.31
, Issue.4
, pp. 377-403
-
-
Craven, P.1
Wahba, G.2
-
49
-
-
0002328596
-
A survey of some smoothing problems and the method of generalized cross-validation for solving them
-
North-Holland, Amsterdam
-
Wahba G. A survey of some smoothing problems and the method of generalized cross-validation for solving them. Applications of statistics, Proceedings of the Symposium of Wright State University, Dayton, Ohio, 1976 (1977), North-Holland, Amsterdam 507-523
-
(1977)
Applications of statistics, Proceedings of the Symposium of Wright State University, Dayton, Ohio, 1976
, pp. 507-523
-
-
Wahba, G.1
-
50
-
-
0001632418
-
The use of the L-curve in the regularization of discrete ill-posed problems
-
Hansen P.C., and O'Leary D.P. The use of the L-curve in the regularization of discrete ill-posed problems. SIAM J Sci Comput 14 6 (1993) 1487-1503
-
(1993)
SIAM J Sci Comput
, vol.14
, Issue.6
, pp. 1487-1503
-
-
Hansen, P.C.1
O'Leary, D.P.2
|