Menikhes, L. D. On a sufficient condition for regularizability of linear inverse problems. (English. Russian original) Zbl 1219.45005 Math. Notes 82, No. 2, 212-215 (2007); translation from Mat. Zametki 82, No. 2, 242-246 (2007). MSC: 45P05 47A52 45Q05 PDFBibTeX XMLCite \textit{L. D. Menikhes}, Math. Notes 82, No. 2, 212--215 (2007; Zbl 1219.45005); translation from Mat. Zametki 82, No. 2, 242--246 (2007) Full Text: DOI
Carbone, Luciano; De Arcangelis, Riccardo A recorded conference held by Ennio De Giorgi. (Italian. English summary) Zbl 1213.01061 Rend. Accad. Sci. Fis. Mat., Napoli (4) 74, 155-169 (2007). MSC: 01A70 01A60 PDFBibTeX XMLCite \textit{L. Carbone} and \textit{R. De Arcangelis}, Rend. Accad. Sci. Fis. Mat., Napoli (4) 74, 155--169 (2007; Zbl 1213.01061)
Qian, Z.; Fu, C.-L.; Xiong, X.-T. A modified method for determining the surface heat flux of IHCP. (English) Zbl 1202.80017 Inverse Probl. Sci. Eng. 15, No. 3, 249-265 (2007). MSC: 80A23 80A20 35R30 PDFBibTeX XMLCite \textit{Z. Qian} et al., Inverse Probl. Sci. Eng. 15, No. 3, 249--265 (2007; Zbl 1202.80017) Full Text: DOI
Morozov, P. E.; Farhullin, R. G.; Khairullin, M. Kh.; Shamsiev, M. N. Interpretation of pressure recovery curves recorded simultaneously in different sections of a horizontal well borehole. (English. Russian original) Zbl 1200.76186 Fluid Dyn. 42, No. 1, 79-82 (2007); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2007, No. 1, 91-95 (2007). MSC: 76S05 86A05 PDFBibTeX XMLCite \textit{P. E. Morozov} et al., Fluid Dyn. 42, No. 1, 79--82 (2007; Zbl 1200.76186); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2007, No. 1, 91--95 (2007) Full Text: DOI
Strakhov, V. N. How to modify the Lavrentyev’s method for search of the stable approximation solution of linear algebraic equations with symmetric positively defined matrices and approximately defined right hand side vectors. (Russian. English summary) Zbl 1212.65171 Vychisl. Tekhnol. 12, No. 6, 109-129 (2007). MSC: 65F22 PDFBibTeX XMLCite \textit{V. N. Strakhov}, Vychisl. Tekhnol. 12, No. 6, 109--129 (2007; Zbl 1212.65171)
Zaiter, Ibtissame Remarks on the Ostrovsky equation. (English) Zbl 1212.35439 Differ. Integral Equ. 20, No. 7, 815-840 (2007). MSC: 35Q53 35E15 47A52 76B15 PDFBibTeX XMLCite \textit{I. Zaiter}, Differ. Integral Equ. 20, No. 7, 815--840 (2007; Zbl 1212.35439)
Rus, Guillermo; Gallego, Rafael Solution of identification inverse problems in elastodynamics using semi-analytical sensitivity computation. (English) Zbl 1195.74255 Eng. Anal. Bound. Elem. 31, No. 4, 343-360 (2007). MSC: 74S15 74H15 74P10 PDFBibTeX XMLCite \textit{G. Rus} and \textit{R. Gallego}, Eng. Anal. Bound. Elem. 31, No. 4, 343--360 (2007; Zbl 1195.74255) Full Text: DOI
Jin, Bangti Conjugate gradient method for the Robin inverse problem associated with the Laplace equation. (English) Zbl 1194.65129 Int. J. Numer. Methods Eng. 71, No. 4, 433-453 (2007). MSC: 65N21 65N38 PDFBibTeX XMLCite \textit{B. Jin}, Int. J. Numer. Methods Eng. 71, No. 4, 433--453 (2007; Zbl 1194.65129) Full Text: DOI
Jin, Bangti; Marin, Liviu The method of fundamental solutions for inverse source problems associated with the steady-state heat conduction. (English) Zbl 1194.80101 Int. J. Numer. Methods Eng. 69, No. 8, 1570-1589 (2007). MSC: 80A23 80A20 80M25 65N80 PDFBibTeX XMLCite \textit{B. Jin} and \textit{L. Marin}, Int. J. Numer. Methods Eng. 69, No. 8, 1570--1589 (2007; Zbl 1194.80101) Full Text: DOI
Iwaniec, Joanna; Uhl, Tadeusz Methods for modal model quality improvement - measurement data pre-processing for model identification process. I. (English) Zbl 1182.93106 J. Vib. Control 13, No. 12, 1679-1701 (2007). MSC: 93D30 74H45 PDFBibTeX XMLCite \textit{J. Iwaniec} and \textit{T. Uhl}, J. Vib. Control 13, No. 12, 1679--1701 (2007; Zbl 1182.93106) Full Text: DOI
Zarnadze, D.; Ugulava, D. On the application of Ritz’s extended method for some ill-posed problems. (English) Zbl 1198.47019 Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 21(2006-2007), 60-63 (2007). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 47A52 PDFBibTeX XMLCite \textit{D. Zarnadze} and \textit{D. Ugulava}, Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 21, 60--63 (2007; Zbl 1198.47019)
Mathew, T. P.; Sarkis, M.; Schaerer, C. E. Analysis of block matrix preconditioners for elliptic optimal control problems. (English) Zbl 1199.65218 Numer. Linear Algebra Appl. 14, No. 4, 257-279 (2007). MSC: 65K10 65F10 65F50 49N10 49M25 PDFBibTeX XMLCite \textit{T. P. Mathew} et al., Numer. Linear Algebra Appl. 14, No. 4, 257--279 (2007; Zbl 1199.65218) Full Text: DOI
Condurache, Daniel; Martinuşi, Vladimir A complete closed form vectorial solution to the Kepler problem. (English) Zbl 1163.70311 Meccanica 42, No. 5, 465-476 (2007). MSC: 70F05 70F15 PDFBibTeX XMLCite \textit{D. Condurache} and \textit{V. Martinuşi}, Meccanica 42, No. 5, 465--476 (2007; Zbl 1163.70311) Full Text: DOI
Lampe, J.; Voss, H. On a quadratic eigenproblem occurring in regularized total least squares. (English) Zbl 1393.15013 Comput. Stat. Data Anal. 52, No. 2, 1090-1102 (2007). MSC: 15A18 65F15 65F20 65F22 PDFBibTeX XMLCite \textit{J. Lampe} and \textit{H. Voss}, Comput. Stat. Data Anal. 52, No. 2, 1090--1102 (2007; Zbl 1393.15013) Full Text: DOI
Luo, Xingjun; Yang, Suhua Dynamical system method for solving ill-posed operator equations. (English) Zbl 1174.65409 Numer. Math., J. Chin. Univ. 16, No. 1, 54-62 (2007). MSC: 65J10 65J20 65M30 34G10 35R25 35K90 65M12 PDFBibTeX XMLCite \textit{X. Luo} and \textit{S. Yang}, Numer. Math., J. Chin. Univ. 16, No. 1, 54--62 (2007; Zbl 1174.65409)
Jiang, Ying High resolution image reconstruction via a multi-parameter regularization method. (Chinese. English summary) Zbl 1174.68742 Acta Sci. Nat. Univ. Sunyatseni 46, No. 6, 18-21 (2007). MSC: 68U10 68W99 PDFBibTeX XMLCite \textit{Y. Jiang}, Acta Sci. Nat. Univ. Sunyatseni 46, No. 6, 18--21 (2007; Zbl 1174.68742)
Gabrusjev, Grygorij Construction of the approximate solution of the first kind Fredholm-type equation in some contact problems of the elasticity theory. (Ukrainian. English summary) Zbl 1164.74527 Visn. L’viv. Univ., Ser. Mekh.-Mat. 67, 59-65 (2007). MSC: 74M15 74A10 PDFBibTeX XMLCite \textit{G. Gabrusjev}, Visn. L'viv. Univ., Ser. Mekh.-Mat. 67, 59--65 (2007; Zbl 1164.74527)
Guo, J.; Le Masson, P.; Rouquette, S.; Loulou, T.; Artioukhine Estimation of a source term in a two-dimensional heat transfer problem: application to an electron beam welding, theoretical and experimental validations. (English) Zbl 1160.80002 Inverse Probl. Sci. Eng. 15, No. 7, 743-763 (2007). Reviewer: Damian Słota (Gliwice) MSC: 80A20 80A23 80M50 PDFBibTeX XMLCite \textit{J. Guo} et al., Inverse Probl. Sci. Eng. 15, No. 7, 743--763 (2007; Zbl 1160.80002) Full Text: DOI
Hein, T.; Hofmann, B.; Meyer, A.; Steinhorst, P. Numerical analysis of a calibration problem for simulating electric fault arc tests. (English) Zbl 1177.65144 Inverse Probl. Sci. Eng. 15, No. 7, 679-698 (2007). MSC: 65M32 35R30 35K05 PDFBibTeX XMLCite \textit{T. Hein} et al., Inverse Probl. Sci. Eng. 15, No. 7, 679--698 (2007; Zbl 1177.65144) Full Text: DOI
Weber, Gerhard-Wilhelm; Taylan, Pakize; Akteke-Őztürka, Başak; Uğur, Őmür Mathematical and data mining contributions to dynamics and optimization of gene-environment networks. (English) Zbl 1153.93320 EJTP, Electron. J. Theor. Phys. 4, No. 16, 115-146 (2007). MSC: 93A30 92D10 90C34 92B05 60H15 35R60 65C30 PDFBibTeX XMLCite \textit{G.-W. Weber} et al., EJTP, Electron. J. Theor. Phys. 4, No. 16, 115--146 (2007; Zbl 1153.93320)
Gockenbach, Mark S.; Khan, Akhtar A. An abstract framework for elliptic inverse problems. I: An output least-squares approach. (English) Zbl 1153.74021 Math. Mech. Solids 12, No. 3, 259-276 (2007). MSC: 74G75 74B05 35R30 PDFBibTeX XMLCite \textit{M. S. Gockenbach} and \textit{A. A. Khan}, Math. Mech. Solids 12, No. 3, 259--276 (2007; Zbl 1153.74021) Full Text: DOI
Xiong, Xiang-Tuan; Fu, Chu-Li Error estimates on a backward heat equation by a wavelet dual least squares method. (English) Zbl 1154.65069 Int. J. Wavelets Multiresolut. Inf. Process. 5, No. 3, 389-397 (2007). Reviewer: Fernando Casas (Castellon) MSC: 65M15 65T60 35R25 35K05 65M30 65M60 PDFBibTeX XMLCite \textit{X.-T. Xiong} and \textit{C.-L. Fu}, Int. J. Wavelets Multiresolut. Inf. Process. 5, No. 3, 389--397 (2007; Zbl 1154.65069) Full Text: DOI
Feng, Lixin; Ma, Fuming A regularized Newton method in inverse scattering problem from cavities. (English) Zbl 1150.78313 Northeast. Math. J. 23, No. 6, 479-490 (2007). MSC: 78A46 65N30 35R30 PDFBibTeX XMLCite \textit{L. Feng} and \textit{F. Ma}, Northeast. Math. J. 23, No. 6, 479--490 (2007; Zbl 1150.78313)
Zhang, Junyong; Gao, Xiang; Fu, Chuli Fourier and Tikhonov regularization methods for solving a class of backward heat conduction problems. (Chinese. English summary) Zbl 1150.35591 J. Lanzhou Univ., Nat. Sci. 43, No. 2, 112-116 (2007). MSC: 35R25 35R30 PDFBibTeX XMLCite \textit{J. Zhang} et al., J. Lanzhou Univ., Nat. Sci. 43, No. 2, 112--116 (2007; Zbl 1150.35591)
Axelsson, O.; Karátson, J. Symmetric part preconditioning of the CG method for Stokes type saddle-point systems. (English) Zbl 1140.65023 Numer. Funct. Anal. Optim. 28, No. 9-10, 1027-1049 (2007). Reviewer: Constantin Popa (Constanţa) MSC: 65F10 65N15 35J25 65N30 74B05 74S05 76D07 76M10 PDFBibTeX XMLCite \textit{O. Axelsson} and \textit{J. Karátson}, Numer. Funct. Anal. Optim. 28, No. 9--10, 1027--1049 (2007; Zbl 1140.65023) Full Text: DOI
Boussetila, Nadjib; Rebbani, Faouzia A modified quasi-reversibility method for a class of ill-posed Cauchy problems. (English) Zbl 1132.35405 Georgian Math. J. 14, No. 4, 627-642 (2007). MSC: 35K90 47D06 47A52 35R25 PDFBibTeX XMLCite \textit{N. Boussetila} and \textit{F. Rebbani}, Georgian Math. J. 14, No. 4, 627--642 (2007; Zbl 1132.35405)
Tanana, V. P.; Bulatova, M. G. Order-optimal methods for the approximation of a piecewise-continuous solution to a certain inverse problem. (English. Russian original) Zbl 1145.65065 Russ. Math. 51, No. 3, 60-67 (2007); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2007, No. 3, 65-72 (2007). Reviewer: Teresa Regińska (Warszawa) MSC: 65M32 35R30 47A52 65J22 35K05 PDFBibTeX XMLCite \textit{V. P. Tanana} and \textit{M. G. Bulatova}, Russ. Math. 51, No. 3, 60--67 (2007; Zbl 1145.65065); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2007, No. 3, 65--72 (2007) Full Text: DOI
Chapko, Roman; Vintonyak, Nadiya A hybrid method for inverse boundary value problems for an inclusion in semi-infinite two-dimensional domains. (English) Zbl 1138.65099 J. Integral Equations Appl. 19, No. 3, 309-331 (2007). MSC: 65N21 65N38 35J05 35R30 PDFBibTeX XMLCite \textit{R. Chapko} and \textit{N. Vintonyak}, J. Integral Equations Appl. 19, No. 3, 309--331 (2007; Zbl 1138.65099) Full Text: DOI
Harbrecht, Helmut; Hohage, Thorsten Fast methods for three-dimensional inverse obstacle scattering problems. (English) Zbl 1138.65100 J. Integral Equations Appl. 19, No. 3, 237-260 (2007). MSC: 65N21 65N38 35J05 35R30 PDFBibTeX XMLCite \textit{H. Harbrecht} and \textit{T. Hohage}, J. Integral Equations Appl. 19, No. 3, 237--260 (2007; Zbl 1138.65100) Full Text: DOI
Campagna, R.; D’Amore, L.; Murli, A. An efficient algorithm for regularization of Laplace transform inversion in real case. (English) Zbl 1144.65078 J. Comput. Appl. Math. 210, No. 1-2, 84-98 (2007). Reviewer: Lechoslaw Hącia (Poznań) MSC: 65R10 65R30 44A10 PDFBibTeX XMLCite \textit{R. Campagna} et al., J. Comput. Appl. Math. 210, No. 1--2, 84--98 (2007; Zbl 1144.65078) Full Text: DOI
Johansson, Tomas; Lesnic, Daniel Determination of a spacewise dependent heat source. (English) Zbl 1135.35097 J. Comput. Appl. Math. 209, No. 1, 66-80 (2007). MSC: 35R30 35K05 65M32 65M60 78M15 PDFBibTeX XMLCite \textit{T. Johansson} and \textit{D. Lesnic}, J. Comput. Appl. Math. 209, No. 1, 66--80 (2007; Zbl 1135.35097) Full Text: DOI
Hall, Peter; Ma, Yanyuan Testing the suitability of polynomial models in errors-in-variables problems. (English) Zbl 1129.62042 Ann. Stat. 35, No. 6, 2620-2638 (2007). MSC: 62G10 62G08 62G09 62G20 PDFBibTeX XMLCite \textit{P. Hall} and \textit{Y. Ma}, Ann. Stat. 35, No. 6, 2620--2638 (2007; Zbl 1129.62042) Full Text: DOI arXiv Euclid
Vasin, V. V.; Korotkii, M. A. Tikhonov regularization with nondifferentiable stabilizing functionals. (English) Zbl 1139.65039 J. Inverse Ill-Posed Probl. 15, No. 8, 853-865 (2007). Reviewer: Werner H. Schmidt (Greifswald) MSC: 65J10 65J20 65R30 47A52 45B05 65R20 PDFBibTeX XMLCite \textit{V. V. Vasin} and \textit{M. A. Korotkii}, J. Inverse Ill-Posed Probl. 15, No. 8, 853--865 (2007; Zbl 1139.65039) Full Text: DOI
Ageev, A. L.; Korshunov, M. E.; Reich, T. Ye.; Reich, T.; Moll, H. Regularization methods for the analysis of EXAFS spectra of chemical complexes. (English) Zbl 1133.65109 J. Inverse Ill-Posed Probl. 15, No. 8, 767-783 (2007). MSC: 65R20 45B05 65R30 80A50 PDFBibTeX XMLCite \textit{A. L. Ageev} et al., J. Inverse Ill-Posed Probl. 15, No. 8, 767--783 (2007; Zbl 1133.65109) Full Text: DOI
Johansson, B. Tomas Determining the temperature from incomplete boundary data. (English) Zbl 1165.35481 Math. Nachr. 280, No. 16, 1765-1779 (2007). MSC: 35R30 35K05 35R25 47A52 35B65 PDFBibTeX XMLCite \textit{B. T. Johansson}, Math. Nachr. 280, No. 16, 1765--1779 (2007; Zbl 1165.35481) Full Text: DOI
Khan, A. A.; Rouhani, B. D. Iterative regularization for elliptic inverse problems. (English) Zbl 1151.35102 Comput. Math. Appl. 54, No. 6, 850-860 (2007). MSC: 35R30 65N21 PDFBibTeX XMLCite \textit{A. A. Khan} and \textit{B. D. Rouhani}, Comput. Math. Appl. 54, No. 6, 850--860 (2007; Zbl 1151.35102) Full Text: DOI
Johansson, B. Tomas; Lesnic, Daniel A variational method for identifying a spacewise-dependent heat source. (English) Zbl 1135.65034 IMA J. Appl. Math. 72, No. 6, 748-760 (2007). Reviewer: Dinh Nho Hao (Hanoi) MSC: 65M32 35K05 PDFBibTeX XMLCite \textit{B. T. Johansson} and \textit{D. Lesnic}, IMA J. Appl. Math. 72, No. 6, 748--760 (2007; Zbl 1135.65034) Full Text: DOI
Wang, Jian; Cong, Shuqiang; Gao, Wenjie Existence of local solutions to a class of doubly degenerate parabolic equations. (English) Zbl 1142.35461 Northeast. Math. J. 23, No. 2, 157-166 (2007). MSC: 35K55 35K60 35K65 35D05 PDFBibTeX XMLCite \textit{J. Wang} et al., Northeast. Math. J. 23, No. 2, 157--166 (2007; Zbl 1142.35461)
Calvetti, Daniela; Somersalo, Erkki An introduction to Bayesian scientific computing. Ten lectures on subjective computing. (English) Zbl 1137.65010 Surveys and Tutorials in the Applied Mathematical Sciences 2. New York, NY: Springer (ISBN 978-0-387-73393-7/pbk). xiv, 202 p. (2007). Reviewer: Jaromir Antoch (Praha) MSC: 65C60 62-01 65-01 62F15 68W30 PDFBibTeX XMLCite \textit{D. Calvetti} and \textit{E. Somersalo}, An introduction to Bayesian scientific computing. Ten lectures on subjective computing. New York, NY: Springer (2007; Zbl 1137.65010) Full Text: DOI
Han, Weimin; Huang, Jianguo; Kazmi, Kamran; Chen, Yu A numerical method for a Cauchy problem for elliptic partial differential equations. (English) Zbl 1126.35085 Inverse Probl. 23, No. 6, 2401-2415 (2007). MSC: 35R25 65M30 PDFBibTeX XMLCite \textit{W. Han} et al., Inverse Probl. 23, No. 6, 2401--2415 (2007; Zbl 1126.35085) Full Text: DOI
Bonheure, Denis; Habets, Patrick; Obersnel, Franco; Omari, Pierpaolo Classical and non-classical solutions of a prescribed curvature equation. (English) Zbl 1136.34023 J. Differ. Equations 243, No. 2, 208-237 (2007). Reviewer: Marek Galewski (Łódź) MSC: 34B18 34B15 47J30 53A10 PDFBibTeX XMLCite \textit{D. Bonheure} et al., J. Differ. Equations 243, No. 2, 208--237 (2007; Zbl 1136.34023) Full Text: DOI
Song, Lihong; Chen, Zhongying A multiscale method for solving ill-posed problems. (Chinese. English summary) Zbl 1142.65358 Numer. Math., Nanjing 29, No. 1, 63-73 (2007). MSC: 65J10 65J20 47A52 45B05 65R30 PDFBibTeX XMLCite \textit{L. Song} and \textit{Z. Chen}, Numer. Math., Nanjing 29, No. 1, 63--73 (2007; Zbl 1142.65358)
Luo, Xingjun; Yang, Suhua Dynamical system method for solving ill-posed operator equations. (English) Zbl 1142.65357 Numer. Math., J. Chin. Univ. 16, No. 1, 54-62 (2007). MSC: 65J10 65R30 47A52 65J20 PDFBibTeX XMLCite \textit{X. Luo} and \textit{S. Yang}, Numer. Math., J. Chin. Univ. 16, No. 1, 54--62 (2007; Zbl 1142.65357)
Vasin, V. V. Some approaches to reconstruction of nonsmooth solutions of linear ill-posed problems. (English) Zbl 1128.65035 J. Inverse Ill-Posed Probl. 15, No. 6, 625-640 (2007). MSC: 65J10 65J20 47A52 PDFBibTeX XMLCite \textit{V. V. Vasin}, J. Inverse Ill-Posed Probl. 15, No. 6, 625--640 (2007; Zbl 1128.65035) Full Text: DOI
Dorville, R.; Nakoulima, O.; Omrane, A. On the control of ill-posed distributed parameter systems. (English) Zbl 1235.49052 ESAIM, Proc. 17, 50-66 (2007). MSC: 49K20 49K40 PDFBibTeX XMLCite \textit{R. Dorville} et al., ESAIM, Proc. 17, 50--66 (2007; Zbl 1235.49052) Full Text: DOI
Hämarik, U.; Palm, R.; Raus, T. Use of extrapolation in regularization methods. (English) Zbl 1127.65029 J. Inverse Ill-Posed Probl. 15, No. 3, 277-294 (2007). Reviewer: Erwin Schechter (Moers) MSC: 65J10 65R30 65J20 47A52 PDFBibTeX XMLCite \textit{U. Hämarik} et al., J. Inverse Ill-Posed Probl. 15, No. 3, 277--294 (2007; Zbl 1127.65029) Full Text: DOI
Egger, H. Fast fully iterative Newton-type methods for inverse problems. (English) Zbl 1130.65064 J. Inverse Ill-Posed Probl. 15, No. 3, 257-275 (2007). Reviewer: Mihai Turinici (Iaşi) MSC: 65J15 47J06 65J20 65J22 PDFBibTeX XMLCite \textit{H. Egger}, J. Inverse Ill-Posed Probl. 15, No. 3, 257--275 (2007; Zbl 1130.65064) Full Text: DOI
Reinhardt, H.-J.; Hào, Dinh Nho; Frohne, J.; Suttmeier, F.-T. Numerical solution of inverse heat conduction problems in two spatial dimensions. (English) Zbl 1126.35105 J. Inverse Ill-Posed Probl. 15, No. 2, 181-198 (2007). MSC: 35R30 65M32 49J20 65M60 PDFBibTeX XMLCite \textit{H. J. Reinhardt} et al., J. Inverse Ill-Posed Probl. 15, No. 2, 181--198 (2007; Zbl 1126.35105) Full Text: DOI
Leitão, A.; Marques Alves, M. On level set type methods for elliptic Cauchy problems. (English) Zbl 1126.35086 Inverse Probl. 23, No. 5, 2207-2222 (2007). MSC: 35R25 35J25 65N21 PDFBibTeX XMLCite \textit{A. Leitão} and \textit{M. Marques Alves}, Inverse Probl. 23, No. 5, 2207--2222 (2007; Zbl 1126.35086) Full Text: DOI arXiv Link
Rullgård, H.; Öktem, O.; Skoglund, U. A componentwise iterated relative entropy regularization method with updated prior and regularization parameter. (English) Zbl 1130.65065 Inverse Probl. 23, No. 5, 2121-2139 (2007). Reviewer: Mihai Turinici (Iaşi) MSC: 65J15 65J22 47J06 PDFBibTeX XMLCite \textit{H. Rullgård} et al., Inverse Probl. 23, No. 5, 2121--2139 (2007; Zbl 1130.65065) Full Text: DOI
Bonesky, Thomas; Bredies, Kristian; Lorenz, Dirk A.; Maass, Peter A generalized conditional gradient method for nonlinear operator equations with sparsity constraints. (English) Zbl 1131.65045 Inverse Probl. 23, No. 5, 2041-2058 (2007). Reviewer: Cristinel Mortici (Targoviste) MSC: 65J15 65J22 47J06 47J25 47H07 PDFBibTeX XMLCite \textit{T. Bonesky} et al., Inverse Probl. 23, No. 5, 2041--2058 (2007; Zbl 1131.65045) Full Text: DOI Link
Sabatier, P. C.; Sebu, C. On the resolving power of electrical impedance tomography. (English) Zbl 1126.35107 Inverse Probl. 23, No. 5, 1895-1913 (2007). MSC: 35R30 35J25 PDFBibTeX XMLCite \textit{P. C. Sabatier} and \textit{C. Sebu}, Inverse Probl. 23, No. 5, 1895--1913 (2007; Zbl 1126.35107) Full Text: DOI
Kindermann, S.; Ramlau, R. Surrogate functionals and thresholding for inverse interface problems. (English) Zbl 1128.49030 J. Inverse Ill-Posed Probl. 15, No. 4, 387-401 (2007). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 49N45 49Q10 PDFBibTeX XMLCite \textit{S. Kindermann} and \textit{R. Ramlau}, J. Inverse Ill-Posed Probl. 15, No. 4, 387--401 (2007; Zbl 1128.49030) Full Text: DOI
Sumin, M. I. Duality-based regularization in a linear convex mathematical programming problem. (Russian, English) Zbl 1210.49022 Zh. Vychisl. Mat. Mat. Fiz. 47, No. 4, 602-625 (2007); translation in Comput. Math. Math. Phys. 46, No. 4, 579-600 (2007). MSC: 49K20 47A52 PDFBibTeX XMLCite \textit{M. I. Sumin}, Zh. Vychisl. Mat. Mat. Fiz. 47, No. 4, 602--625 (2007; Zbl 1210.49022); translation in Comput. Math. Math. Phys. 46, No. 4, 579--600 (2007) Full Text: DOI
Reichel, L.; Sadok, H.; Shyshkov, A. Greedy Tikhonov regularization for large linear ill-posed problems. (English) Zbl 1125.65034 Int. J. Comput. Math. 84, No. 8, 1151-1166 (2007). Reviewer: Iulian Coroian (Baia Mare) MSC: 65F22 65F10 65R30 45B05 PDFBibTeX XMLCite \textit{L. Reichel} et al., Int. J. Comput. Math. 84, No. 8, 1151--1166 (2007; Zbl 1125.65034) Full Text: DOI
Sidi Ammi, Moulay Rchid Mathematical study of some nonlinear problems from physics and industry. (Étude mathématique de quelques problèmes non linéaires issus de la physique et de l’industrie.) (French) Zbl 1130.35123 Applied Sciences. Monographs 6. Bucharest: Geometry Balkan Press. iii, 111 p., electronic only, open access (2007). MSC: 35Q60 35K55 80A22 35-02 35B41 PDFBibTeX XMLCite \textit{M. R. Sidi Ammi}, Étude mathématique de quelques problèmes non linéaires issus de la physique et de l'industrie. Bucharest: Geometry Balkan Press (2007; Zbl 1130.35123) Full Text: EMIS
Gasilov, Nizami; Fatullayev, Afet Golayoglu; Iankov, Krassimir Numerical algorithm for simultaneously determining of unknown coefficients in a parabolic equation. (English) Zbl 1137.65409 Boyanov, Todor (ed.) et al., Numerical methods and applications. 6th international conference, NMA 2006, Borovets, Bulgaria, August 20–24, 2006. Revised papers. Berlin: Springer (ISBN 978-3-540-70940-4/pbk). Lecture Notes in Computer Science 4310, 574-581 (2007). MSC: 65M32 35K15 35R30 65M06 PDFBibTeX XMLCite \textit{N. Gasilov} et al., Lect. Notes Comput. Sci. 4310, 574--581 (2007; Zbl 1137.65409) Full Text: DOI
Zhong, Ping; Fukushima, Masao Regularized nonsmooth Newton method for multi-class support vector machines. (English) Zbl 1188.68256 Optim. Methods Softw. 22, No. 1, 225-236 (2007). MSC: 68T10 68T05 65K05 68Q32 PDFBibTeX XMLCite \textit{P. Zhong} and \textit{M. Fukushima}, Optim. Methods Softw. 22, No. 1, 225--236 (2007; Zbl 1188.68256) Full Text: DOI
Guarracino, M. R.; Cifarelli, C.; Seref, O.; Pardalos, P. M. A classification method based on generalized eigenvalue problems. (English) Zbl 1125.15013 Optim. Methods Softw. 22, No. 1, 73-81 (2007). Reviewer: C. M. da Fonseca (Coimbra) MSC: 15A18 68T10 65F15 PDFBibTeX XMLCite \textit{M. R. Guarracino} et al., Optim. Methods Softw. 22, No. 1, 73--81 (2007; Zbl 1125.15013) Full Text: DOI
Marin, L.; Power, H.; Bowtell, R. W.; Cobos Sanchez, C.; Becker, A. A.; Glover, P.; Jones, I. A. Numerical solution of an inverse problem in magnetic resonance imaging using a regularized higher-order boundary element method. (English) Zbl 1121.65114 Brebbia, C. A. (ed.) et al., Boundary elements and other mesh reduction methods XXIX (BEM / MRM 29). 29th international conference, New Forest, UK, June 4–6, 2007. Southampton: WIT Press (ISBN 978-1-84564-076-7/hbk). WIT Transactions on Modelling and Simulation 44, 323-332 (2007). MSC: 65N21 35J25 35R30 78A30 78M15 78A46 PDFBibTeX XMLCite \textit{L. Marin} et al., WIT Trans. Model. Simul. 44, 323--332 (2007; Zbl 1121.65114) Full Text: DOI
Chen, C.-T.; Chen, K.-H.; Lee, J.-F.; Chen, J.-T. Adaptive error estimation of the Trefftz method for solving the Cauchy problem. (English) Zbl 1121.65369 Brebbia, C. A. (ed.) et al., Boundary elements and other mesh reduction methods XXIX (BEM / MRM 29). 29th international conference, New Forest, UK, June 4–6, 2007. Southampton: WIT Press (ISBN 978-1-84564-076-7/hbk). WIT Transactions on Modelling and Simulation 44, 43-56 (2007). MSC: 65N35 35J05 35R25 65N15 PDFBibTeX XMLCite \textit{C. T. Chen} et al., WIT Trans. Model. Simul. 44, 43--56 (2007; Zbl 1121.65369) Full Text: DOI
Cheng, Wei; Fu, Chu-Li; Qian, Zhi A modified Tikhonov regularization method for a spherically symmetric three-dimensional inverse heat conduction problem. (English) Zbl 1122.65083 Math. Comput. Simul. 75, No. 3-4, 97-112 (2007). Reviewer: Hans Engler (Bonn) MSC: 65M32 35K05 65M15 65M12 PDFBibTeX XMLCite \textit{W. Cheng} et al., Math. Comput. Simul. 75, No. 3--4, 97--112 (2007; Zbl 1122.65083) Full Text: DOI
Hofmann, B.; Schieck, M.; von Wolfersdorf, L. On the analysis of distance functions for linear ill-posed problems with an application to the integration operator in \(L^2\). (English) Zbl 1123.47014 J. Inverse Ill-Posed Probl. 15, No. 1, 83-98 (2007). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 47A52 65J20 PDFBibTeX XMLCite \textit{B. Hofmann} et al., J. Inverse Ill-Posed Probl. 15, No. 1, 83--98 (2007; Zbl 1123.47014) Full Text: DOI
Katsoulakis, Markos A.; Kossioris, Georgios T.; Lakkis, Omar Noise regularization and computations for the 1-dimensional stochastic Allen-Cahn problem. (English) Zbl 1129.35088 Interfaces Free Bound. 9, No. 1, 1-30 (2007). Reviewer: Dian K. Palagachev (Bari) MSC: 35R60 65C05 PDFBibTeX XMLCite \textit{M. A. Katsoulakis} et al., Interfaces Free Bound. 9, No. 1, 1--30 (2007; Zbl 1129.35088) Full Text: DOI arXiv
Hofmann, B.; Kaltenbacher, B.; Pöschl, C.; Scherzer, O. A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators. (English) Zbl 1131.65046 Inverse Probl. 23, No. 3, 987-1010 (2007). Reviewer: Teresa Regińska (Warszawa) MSC: 65J15 65J20 47J06 91G60 PDFBibTeX XMLCite \textit{B. Hofmann} et al., Inverse Probl. 23, No. 3, 987--1010 (2007; Zbl 1131.65046) Full Text: DOI Link
Feng, T.; Edström, P.; Gulliksson, M. Levenberg-Marquardt methods for parameter estimation problems in the radiative transfer equation. (English) Zbl 1134.65092 Inverse Probl. 23, No. 3, 879-891 (2007). Reviewer: M. Thamban Nair (Chennai) MSC: 65R32 45K05 85A25 45Q05 65R20 PDFBibTeX XMLCite \textit{T. Feng} et al., Inverse Probl. 23, No. 3, 879--891 (2007; Zbl 1134.65092) Full Text: DOI
Bouhamidi, A.; Jbilou, K. Sylvester Tikhonov-regularization methods in image restoration. (English) Zbl 1131.65036 J. Comput. Appl. Math. 206, No. 1, 86-98 (2007). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65F20 65F10 65R30 15A24 65F30 94A08 PDFBibTeX XMLCite \textit{A. Bouhamidi} and \textit{K. Jbilou}, J. Comput. Appl. Math. 206, No. 1, 86--98 (2007; Zbl 1131.65036) Full Text: DOI
Chang, Jiang-Ren; Liu, Chein-Shan; Chang, Chih-Wen A new shooting method for quasi-boundary regularization of backward heat conduction problems. (English) Zbl 1123.80005 Int. J. Heat Mass Transfer 50, No. 11-12, 2325-2332 (2007). Reviewer: Pavol Chocholatý (Bratislava) MSC: 80A23 PDFBibTeX XMLCite \textit{J.-R. Chang} et al., Int. J. Heat Mass Transfer 50, No. 11--12, 2325--2332 (2007; Zbl 1123.80005) Full Text: DOI
Cardot, Hervé; Mas, André; Sarda, Pascal CLT in functional linear regression models. (English) Zbl 1113.60025 Probab. Theory Relat. Fields 138, No. 3-4, 325-361 (2007); correction ibid. 187, No. 1-2, 519-522 (2023). MSC: 60F05 60H05 45Q05 62J07 PDFBibTeX XMLCite \textit{H. Cardot} et al., Probab. Theory Relat. Fields 138, No. 3--4, 325--361 (2007; Zbl 1113.60025) Full Text: DOI arXiv
Fu, Chu-Li; Xiong, Xiang-Tuan; Qian, Zhi Fourier regularization for a backward heat equation. (English) Zbl 1146.35420 J. Math. Anal. Appl. 331, No. 1, 472-480 (2007). MSC: 35R30 35R25 65M32 65M70 80M25 PDFBibTeX XMLCite \textit{C.-L. Fu} et al., J. Math. Anal. Appl. 331, No. 1, 472--480 (2007; Zbl 1146.35420) Full Text: DOI
Berre, Inga; Lien, Martha; Mannseth, Trond A level-set corrector to an adaptive multiscale permeability prediction. (English) Zbl 1119.76062 Comput. Geosci. 11, No. 1, 27-42 (2007). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 76S05 76T10 76M25 PDFBibTeX XMLCite \textit{I. Berre} et al., Comput. Geosci. 11, No. 1, 27--42 (2007; Zbl 1119.76062) Full Text: DOI
Bakushinsky, Anatoly; Smirnova, Alexandra Iterative regularization and generalized discrepancy principle for monotone operator equations. (English) Zbl 1115.47051 Numer. Funct. Anal. Optimization 28, No. 1-2, 13-25 (2007). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 47J06 47J25 65R30 PDFBibTeX XMLCite \textit{A. Bakushinsky} and \textit{A. Smirnova}, Numer. Funct. Anal. Optim. 28, No. 1--2, 13--25 (2007; Zbl 1115.47051) Full Text: DOI
Qian, Zhi; Fu, Chu-Li; Shi, Rui A modified method for a backward heat conduction problem. (English) Zbl 1112.65090 Appl. Math. Comput. 185, No. 1, 564-573 (2007). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 65M30 65M60 65M15 65M12 35K05 PDFBibTeX XMLCite \textit{Z. Qian} et al., Appl. Math. Comput. 185, No. 1, 564--573 (2007; Zbl 1112.65090) Full Text: DOI
Yagola, Anatoly; Titarenko, Valery Using a priori information about a solution of an ill-posed problem for constructing regularizing algorithms and their applications. (English) Zbl 1113.80017 Inverse Probl. Sci. Eng. 15, No. 1, 3-17 (2007). MSC: 80A20 47A52 65J20 PDFBibTeX XMLCite \textit{A. Yagola} and \textit{V. Titarenko}, Inverse Probl. Sci. Eng. 15, No. 1, 3--17 (2007; Zbl 1113.80017) Full Text: DOI
Bauer, Frank; Ivanyshyn, Olha Optimal regularization with two interdependent regularization parameters. (English) Zbl 1119.65048 Inverse Probl. 23, No. 1, 331-342 (2007). Reviewer: Teresa Regińska (Warszawa) MSC: 65J15 65J20 47J06 PDFBibTeX XMLCite \textit{F. Bauer} and \textit{O. Ivanyshyn}, Inverse Probl. 23, No. 1, 331--342 (2007; Zbl 1119.65048) Full Text: DOI
Baglama, James; Reichel, Lothar Decomposition methods for large linear discrete ill-posed problems. (English) Zbl 1106.65035 J. Comput. Appl. Math. 198, No. 2, 332-343 (2007). Reviewer: Liu Xinguo (Qingdao) MSC: 65F22 65F10 PDFBibTeX XMLCite \textit{J. Baglama} and \textit{L. Reichel}, J. Comput. Appl. Math. 198, No. 2, 332--343 (2007; Zbl 1106.65035) Full Text: DOI