Safaie, Ali; Salehi Shayegan, Amir Hossein; Shahriari, Mohammad Identification of an inverse source problem in a fractional partial differential equation based on Sinc-Galerkin method and TSVD regularization. (English) Zbl 07804041 Comput. Methods Appl. Math. 24, No. 1, 215-237 (2024). MSC: 65L05 35R30 35R11 PDFBibTeX XMLCite \textit{A. Safaie} et al., Comput. Methods Appl. Math. 24, No. 1, 215--237 (2024; Zbl 07804041) Full Text: DOI
Hào, Dinh-Nho; Le, Thuy T.; Nguyen, Loc H. The Fourier-based dimensional reduction method for solving a nonlinear inverse heat conduction problem with limited boundary data. (English) Zbl 07784317 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107679, 13 p. (2024). MSC: 65L10 35R30 35R25 35R15 35K55 PDFBibTeX XMLCite \textit{D.-N. Hào} et al., Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107679, 13 p. (2024; Zbl 07784317) Full Text: DOI arXiv
Wu, Shu-Lin; Wang, Zhiyong; Zhou, Tao PinT preconditioner for forward-backward evolutionary equations. (English) Zbl 07783213 SIAM J. Matrix Anal. Appl. 44, No. 4, 1771-1798 (2023). MSC: 65M55 65F08 65F10 65F22 65F15 65J20 65H10 49M41 65M06 65L06 65M12 65M15 65Y05 15B05 93B05 93B20 PDFBibTeX XMLCite \textit{S.-L. Wu} et al., SIAM J. Matrix Anal. Appl. 44, No. 4, 1771--1798 (2023; Zbl 07783213) Full Text: DOI
Ikehata, Masaru Extracting discontinuity using the probe and enclosure methods. (English) Zbl 1521.35207 J. Inverse Ill-Posed Probl. 31, No. 4, 487-575 (2023). MSC: 35R30 35J25 PDFBibTeX XMLCite \textit{M. Ikehata}, J. Inverse Ill-Posed Probl. 31, No. 4, 487--575 (2023; Zbl 1521.35207) Full Text: DOI arXiv
Liu, Yanfang; Wu, Zhizhang; Sun, Jiguang; Zhang, Zhiwen Deterministic-statistical approach for an inverse acoustic source problem using multiple frequency limited aperture data. (English) Zbl 1520.35175 Inverse Probl. Imaging 17, No. 6, 1329-1345 (2023). MSC: 35R30 35J05 62F15 65N21 PDFBibTeX XMLCite \textit{Y. Liu} et al., Inverse Probl. Imaging 17, No. 6, 1329--1345 (2023; Zbl 1520.35175) Full Text: DOI arXiv
Hrizi, Mourad; Hassine, Maatoug; Novotny, Antonio André Reconstruction of pointwise sources in a time-fractional diffusion equation. (English) Zbl 1509.35378 Fract. Calc. Appl. Anal. 26, No. 1, 193-219 (2023). MSC: 35R30 35R11 35K57 26A33 PDFBibTeX XMLCite \textit{M. Hrizi} et al., Fract. Calc. Appl. Anal. 26, No. 1, 193--219 (2023; Zbl 1509.35378) Full Text: DOI
Le, Thuy T. Global reconstruction of initial conditions of nonlinear parabolic equations via the Carleman-contraction method. (English) Zbl 1517.35262 Nguyen, Dinh-Liem (ed.) et al., Recent advances in inverse problems for partial differential equations. AMS special session on recent developments on analysis and computation for inverse problems for PDEs, virtual, March 13–14, 2021 and AMS special session on recent advances in inverse problems for PDEs, virtual, October 23–23, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 784, 23-42 (2023). MSC: 35R30 35K20 35K58 65M32 PDFBibTeX XMLCite \textit{T. T. Le}, Contemp. Math. 784, 23--42 (2023; Zbl 1517.35262) Full Text: DOI arXiv
Li, Tao; Deng, Youjun; Fang, Xiaoping Reconstruction of acoustic source with high-curvature part. (English) Zbl 1512.35669 Inverse Probl. Imaging 17, No. 3, 629-645 (2023). MSC: 35R30 35A22 35C20 PDFBibTeX XMLCite \textit{T. Li} et al., Inverse Probl. Imaging 17, No. 3, 629--645 (2023; Zbl 1512.35669) Full Text: DOI
Pyatkov, Sergeĭ Grigor’evich; Neustroeva, Lyubov’ Vladimirovna On solvability of inverse problems of determining point sources. (Russian. English summary) Zbl 07822085 Mat. Zamet. SVFU 29, No. 2, 43-58 (2022). MSC: 35-XX 34-XX PDFBibTeX XMLCite \textit{S. G. Pyatkov} and \textit{L. V. Neustroeva}, Mat. Zamet. SVFU 29, No. 2, 43--58 (2022; Zbl 07822085) Full Text: DOI
Al Jebawy, Hanin; Elbadia, Abdellatif; Triki, Faouzi Inverse moving point source problem for the wave equation. (English) Zbl 1501.35452 Inverse Probl. 38, No. 12, Article ID 125003, 11 p. (2022). MSC: 35R30 35L05 35L15 PDFBibTeX XMLCite \textit{H. Al Jebawy} et al., Inverse Probl. 38, No. 12, Article ID 125003, 11 p. (2022; Zbl 1501.35452) Full Text: DOI arXiv
Neustroeva, Lyubov’ Vladimirovna On uniqueness in the problems of determining point sources in mathematical models of heat and mass transfer. (English) Zbl 1496.80007 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 14, No. 2, 31-43 (2022). MSC: 80A23 35Q79 80A19 PDFBibTeX XMLCite \textit{L. V. Neustroeva}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 14, No. 2, 31--43 (2022; Zbl 1496.80007) Full Text: DOI MNR
Rocha de Faria, Jairo; Lesnic, Daniel; da Silva Lima, Rômulo; Machado, Thiago José The method of fundamental solutions for pointwise source reconstruction. (English) Zbl 1524.35767 Comput. Math. Appl. 114, 171-179 (2022). MSC: 35R30 35J05 65N12 65N80 65N35 PDFBibTeX XMLCite \textit{J. Rocha de Faria} et al., Comput. Math. Appl. 114, 171--179 (2022; Zbl 1524.35767) Full Text: DOI
Thuy Thi Thu Le; Nguyen, Loc Hoang A convergent numerical method to recover the initial condition of nonlinear parabolic equations from lateral Cauchy data. (English) Zbl 1487.65143 J. Inverse Ill-Posed Probl. 30, No. 2, 265-286 (2022). MSC: 65M32 65M30 65K10 65M12 35K55 35J60 42A38 35R30 PDFBibTeX XMLCite \textit{Thuy Thi Thu Le} and \textit{L. H. Nguyen}, J. Inverse Ill-Posed Probl. 30, No. 2, 265--286 (2022; Zbl 1487.65143) Full Text: DOI arXiv
Charkaoui, Abderrahim; El Badia, Abdellatif; Eddine Alaa, Nour An efficient and robust algorithm for source reconstruction in the Helmholtz equation. (English) Zbl 07484743 Inverse Probl. Sci. Eng. 29, No. 13, 2944-2970 (2021). MSC: 65K10 35R30 49J20 49J50 35J05 PDFBibTeX XMLCite \textit{A. Charkaoui} et al., Inverse Probl. Sci. Eng. 29, No. 13, 2944--2970 (2021; Zbl 07484743) Full Text: DOI
Thanh, Phan Xuan Space-time finite element method for determination of a source in parabolic equations from boundary observations. (English) Zbl 1510.65232 J. Inverse Ill-Posed Probl. 29, No. 5, 689-705 (2021). MSC: 65M32 65M30 65M60 65M06 65N30 65K10 65F10 65M12 65J20 35B45 35R30 35R25 PDFBibTeX XMLCite \textit{P. X. Thanh}, J. Inverse Ill-Posed Probl. 29, No. 5, 689--705 (2021; Zbl 1510.65232) Full Text: DOI
Filimonov, Valeriy Yu.; Zinoviev, Alexander T.; Lovtskaya, Olga V. Method for estimating the pollutant flow rate under diffuse pollution of small lowland rivers. (English) Zbl 1524.76494 Math. Comput. Simul. 182, 807-818 (2021). MSC: 76T20 PDFBibTeX XMLCite \textit{V. Yu. Filimonov} et al., Math. Comput. Simul. 182, 807--818 (2021; Zbl 1524.76494) Full Text: DOI
Neustroeva, Lyubov’ Vladimirovna; Pyatkov, Sergeĭ Grigor’evich About some classes of reverse tasks on determining the source function. (Russian. English summary) Zbl 07819523 Mat. Zamet. SVFU 27, No. 1, 21-40 (2020). MSC: 35-XX 65-XX PDFBibTeX XMLCite \textit{L. V. Neustroeva} and \textit{S. G. Pyatkov}, Mat. Zamet. SVFU 27, No. 1, 21--40 (2020; Zbl 07819523) Full Text: DOI
Nguyen Hoang Luc; Baleanu, Dumitru; Long, Le Dinh; Nguyen-Huu Can Reconstructing the right-hand side of a fractional subdiffusion equation from the final data. (English) Zbl 1503.35289 J. Inequal. Appl. 2020, Paper No. 53, 15 p. (2020). MSC: 35R30 35R11 26A33 PDFBibTeX XMLCite \textit{Nguyen Hoang Luc} et al., J. Inequal. Appl. 2020, Paper No. 53, 15 p. (2020; Zbl 1503.35289) Full Text: DOI
Hamdi, Adel; Jardani, Abderrahim Reconstruction of unknown storativity and transmissivity functions in \(2D\) groundwater equations. (English) Zbl 1483.65149 Inverse Probl. Sci. Eng. 28, No. 12, 1796-1816 (2020). MSC: 65M32 65M06 65N06 65K10 35J60 76S05 86A05 86A22 35R30 PDFBibTeX XMLCite \textit{A. Hamdi} and \textit{A. Jardani}, Inverse Probl. Sci. Eng. 28, No. 12, 1796--1816 (2020; Zbl 1483.65149) Full Text: DOI
Li, Qitong; Nguyen, Loc Hoang Recovering the initial condition of parabolic equations from lateral Cauchy data via the quasi-reversibility method. (English) Zbl 1473.65169 Inverse Probl. Sci. Eng. 28, No. 4, 580-598 (2020). MSC: 65M32 35R30 35K15 65K10 65F25 PDFBibTeX XMLCite \textit{Q. Li} and \textit{L. H. Nguyen}, Inverse Probl. Sci. Eng. 28, No. 4, 580--598 (2020; Zbl 1473.65169) Full Text: DOI arXiv
Li, Zhi; Zhao, Zhenyu; Meng, Zehong; Chen, Baoqin; Mei, Duan Identifying an unknown source in the Poisson equation with a super order regularization method. (English) Zbl 07336566 Int. J. Comput. Methods 17, No. 7, Article ID 1950030, 12 p. (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{Z. Li} et al., Int. J. Comput. Methods 17, No. 7, Article ID 1950030, 12 p. (2020; Zbl 07336566) Full Text: DOI
El Madkouri, Abdessamad; Ellabib, Abdellatif A preconditioned Krylov subspace iterative methods for inverse source problem by virtue of a regularizing LM-DRBEM. (English) Zbl 1466.65170 Int. J. Appl. Comput. Math. 6, No. 4, Paper No. 94, 17 p. (2020). MSC: 65N21 65N38 65K10 31A25 65F08 65F10 65F05 PDFBibTeX XMLCite \textit{A. El Madkouri} and \textit{A. Ellabib}, Int. J. Appl. Comput. Math. 6, No. 4, Paper No. 94, 17 p. (2020; Zbl 1466.65170) Full Text: DOI
Nguyen, Phuong Mai; Nguyen, Loc Hoang A numerical method for an inverse source problem for parabolic equations and its application to a coefficient inverse problem. (English) Zbl 1448.65139 J. Inverse Ill-Posed Probl. 28, No. 3, 323-339 (2020). MSC: 65M32 35R30 35K20 PDFBibTeX XMLCite \textit{P. M. Nguyen} and \textit{L. H. Nguyen}, J. Inverse Ill-Posed Probl. 28, No. 3, 323--339 (2020; Zbl 1448.65139) Full Text: DOI arXiv
Bousba, Sara; Guo, Yukun; Wang, Xianchao; Li, Longsuo Identifying multipolar acoustic sources by the direct sampling method. (English) Zbl 1437.65170 Appl. Anal. 99, No. 5, 856-879 (2020). MSC: 65N21 49N45 35J05 PDFBibTeX XMLCite \textit{S. Bousba} et al., Appl. Anal. 99, No. 5, 856--879 (2020; Zbl 1437.65170) Full Text: DOI
Yang, Shuping; Xiong, Xiangtuan A Tikhonov regularization method for solving an inverse heat source problem. (English) Zbl 1431.65251 Bull. Malays. Math. Sci. Soc. (2) 43, No. 1, 441-452 (2020). MSC: 65R32 35R30 PDFBibTeX XMLCite \textit{S. Yang} and \textit{X. Xiong}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 1, 441--452 (2020; Zbl 1431.65251) Full Text: DOI
Alzaalig, Ala; Hu, Guanghui; Liu, Xiaodong; Sun, Jiguang Fast acoustic source imaging using multi-frequency sparse data. (English) Zbl 1448.35566 Inverse Probl. 36, No. 2, Article ID 025009, 18 p. (2020). Reviewer: Andreas Kleefeld (Jülich) MSC: 35R30 35J15 35A02 PDFBibTeX XMLCite \textit{A. Alzaalig} et al., Inverse Probl. 36, No. 2, Article ID 025009, 18 p. (2020; Zbl 1448.35566) Full Text: DOI arXiv
Pyatkov, Sergeĭ Grigor’evich; Rotko, Valeriĭ Vital’evich Inverse problems with pointwise overdetermination for some quasilinear parabolic systems. (Russian) Zbl 1492.35431 Mat. Tr. 22, No. 1, 178-204 (2019). MSC: 35R30 35Q35 35Q79 PDFBibTeX XMLCite \textit{S. G. Pyatkov} and \textit{V. V. Rotko}, Mat. Tr. 22, No. 1, 178--204 (2019; Zbl 1492.35431) Full Text: DOI MNR
Mdimagh, Ridha Recovery of dipolar sources and stability estimates. (English) Zbl 1499.65312 Filomat 33, No. 13, 4095-4114 (2019). MSC: 65L09 65M32 65N21 PDFBibTeX XMLCite \textit{R. Mdimagh}, Filomat 33, No. 13, 4095--4114 (2019; Zbl 1499.65312) Full Text: DOI
Zhang, Deyue; Guo, Yukun; Li, Jingzhi; Liu, Hongyu Locating multiple multipolar acoustic sources using the direct sampling method. (English) Zbl 1473.65275 Commun. Comput. Phys. 25, No. 5, 1328-1356 (2019). MSC: 65N21 35J05 74G75 PDFBibTeX XMLCite \textit{D. Zhang} et al., Commun. Comput. Phys. 25, No. 5, 1328--1356 (2019; Zbl 1473.65275) Full Text: DOI arXiv
Song, Minghui; Wang, Xianchao A Fourier method to recover elastic sources with multi-frequency data. (English) Zbl 1464.49025 East Asian J. Appl. Math. 9, No. 2, 369-385 (2019). Reviewer: Virender Dalal (Delhi) MSC: 49N45 42A38 PDFBibTeX XMLCite \textit{M. Song} and \textit{X. Wang}, East Asian J. Appl. Math. 9, No. 2, 369--385 (2019; Zbl 1464.49025) Full Text: DOI
Ren, Kui; Zhong, Yimin Imaging point sources in heterogeneous environments. (English) Zbl 1427.35366 Inverse Probl. 35, No. 12, Article ID 125003, 19 p. (2019). MSC: 35R30 78A46 35Q60 65N21 PDFBibTeX XMLCite \textit{K. Ren} and \textit{Y. Zhong}, Inverse Probl. 35, No. 12, Article ID 125003, 19 p. (2019; Zbl 1427.35366) Full Text: DOI arXiv
Hrizi, Mourad; Hassine, M.; Malek, R. A new reconstruction method for a parabolic inverse source problem. (English) Zbl 1423.35444 Appl. Anal. 98, No. 15, 2723-2750 (2019). MSC: 35R30 35A15 35B20 49K40 65R32 PDFBibTeX XMLCite \textit{M. Hrizi} et al., Appl. Anal. 98, No. 15, 2723--2750 (2019; Zbl 1423.35444) Full Text: DOI
El Badia, Abdellatif; El Hajj, Ahmad; Jazar, Mustapha; Moustafa, Hayat Identification of point sources in an elliptic equation from interior measurements: application to a seawater intrusion problem. (English) Zbl 1418.35379 J. Inverse Ill-Posed Probl. 27, No. 4, 559-574 (2019). MSC: 35R30 35B25 35B35 35J05 35J08 65M32 PDFBibTeX XMLCite \textit{A. El Badia} et al., J. Inverse Ill-Posed Probl. 27, No. 4, 559--574 (2019; Zbl 1418.35379) Full Text: DOI
Pyatkov, S. G. On some inverse problems for first order operator-differential equations. (English. Russian original) Zbl 1419.35252 Sib. Math. J. 60, No. 1, 140-147 (2019); translation from Sib. Mat. Zh. 60, No. 1, 183-193 (2019). MSC: 35R30 PDFBibTeX XMLCite \textit{S. G. Pyatkov}, Sib. Math. J. 60, No. 1, 140--147 (2019; Zbl 1419.35252); translation from Sib. Mat. Zh. 60, No. 1, 183--193 (2019) Full Text: DOI
Wang, Xianchao; Song, Minghui; Guo, Yukun; Li, Hongjie; Liu, Hongyu Fourier method for identifying electromagnetic sources with multi-frequency far-field data. (English) Zbl 1415.35292 J. Comput. Appl. Math. 358, 279-292 (2019). MSC: 35R30 35P25 78A46 35Q60 PDFBibTeX XMLCite \textit{X. Wang} et al., J. Comput. Appl. Math. 358, 279--292 (2019; Zbl 1415.35292) Full Text: DOI arXiv
Nguyen, Loc Hoang An inverse space-dependent source problem for hyperbolic equations and the Lipschitz-like convergence of the quasi-reversibility method. (English) Zbl 1410.65359 Inverse Probl. 35, No. 3, Article ID 035007, 28 p. (2019). MSC: 65M32 35R09 35R30 45K05 45D05 35B65 35B45 65M06 65J20 65M12 65M30 PDFBibTeX XMLCite \textit{L. H. Nguyen}, Inverse Probl. 35, No. 3, Article ID 035007, 28 p. (2019; Zbl 1410.65359) Full Text: DOI arXiv
Ghanmi, A.; Mdimagh, R.; Saad, I. B. Identification of points sources via time fractional diffusion equation. (English) Zbl 1499.42027 Filomat 32, No. 18, 6189-6201 (2018). MSC: 42A38 42B10 46F12 45Q05 PDFBibTeX XMLCite \textit{A. Ghanmi} et al., Filomat 32, No. 18, 6189--6201 (2018; Zbl 1499.42027) Full Text: DOI
El Badia, Abdellatif; El Hajj, A.; Jazar, M.; Moustafa, H. Logarithmic stability estimates for an inverse source problem from interior measurements. (English) Zbl 1390.35414 Appl. Anal. 97, No. 2, 274-294 (2018). MSC: 35R30 35B25 35B35 35J05 35J08 65M32 PDFBibTeX XMLCite \textit{A. El Badia} et al., Appl. Anal. 97, No. 2, 274--294 (2018; Zbl 1390.35414) Full Text: DOI
Wang, Guan; Ma, Fuming; Guo, Yukun; Li, Jingzhi Solving the multi-frequency electromagnetic inverse source problem by the Fourier method. (English) Zbl 1388.78005 J. Differ. Equations 265, No. 1, 417-443 (2018). MSC: 78A25 78M22 65N21 35Q61 65R32 35J05 42A16 93C30 65D30 65T50 PDFBibTeX XMLCite \textit{G. Wang} et al., J. Differ. Equations 265, No. 1, 417--443 (2018; Zbl 1388.78005) Full Text: DOI arXiv
Awawdeh, Fadi; Alomari, A. K.; Abu-Falahah, Ibraheem Source degenerate identification problems with smoothing overdetermination. (English) Zbl 1444.47055 Adv. Difference Equ. 2017, Paper No. 347, 12 p. (2017). MSC: 47D03 47A55 34G10 35R30 PDFBibTeX XMLCite \textit{F. Awawdeh} et al., Adv. Difference Equ. 2017, Paper No. 347, 12 p. (2017; Zbl 1444.47055) Full Text: DOI
Alves, Carlos J. S.; Mamud, Roberto; Martins, Nuno F. M.; Roberty, Nilson C. On inverse problems for characteristic sources in Helmholtz equations. (English) Zbl 1426.65166 Math. Probl. Eng. 2017, Article ID 2472060, 16 p. (2017). MSC: 65N21 35J05 35R30 PDFBibTeX XMLCite \textit{C. J. S. Alves} et al., Math. Probl. Eng. 2017, Article ID 2472060, 16 p. (2017; Zbl 1426.65166) Full Text: DOI
Liu, Chein-Shan; Wang, Peifang; Chang, Jiang-Ren An iterative method based on coupled closed-form coefficients expansions for recovering the pollutant source and initial pollution profile. (English) Zbl 1370.65049 J. Comput. Appl. Math. 326, 87-98 (2017). MSC: 65M32 35K20 65M38 35R30 65M12 PDFBibTeX XMLCite \textit{C.-S. Liu} et al., J. Comput. Appl. Math. 326, 87--98 (2017; Zbl 1370.65049) Full Text: DOI
Wang, Xianchao; Guo, Yukun; Zhang, Deyue; Liu, Hongyu Fourier method for recovering acoustic sources from multi-frequency far-field data. (English) Zbl 1401.35352 Inverse Probl. 33, No. 3, Article ID 035001, 18 p. (2017). MSC: 35R30 65N21 35J05 76Q05 PDFBibTeX XMLCite \textit{X. Wang} et al., Inverse Probl. 33, No. 3, Article ID 035001, 18 p. (2017; Zbl 1401.35352) Full Text: DOI
Jaradat, Ali; Awawdeh, Fadi; Noorani, Mohd Salmi Md Identification of time-dependent source terms and control parameters in parabolic equations from overspecified boundary data. (English) Zbl 1353.65100 J. Comput. Appl. Math. 313, 397-409 (2017). MSC: 65M32 35K05 35R30 65M15 65M12 PDFBibTeX XMLCite \textit{A. Jaradat} et al., J. Comput. Appl. Math. 313, 397--409 (2017; Zbl 1353.65100) Full Text: DOI
Hào, Dinh Nho; Huong, Bui Viet; Oanh, Nguyen Thi Ngoc; Thanh, Phan Xuan Determination of a term in the right-hand side of parabolic equations. (English) Zbl 1433.65195 J. Comput. Appl. Math. 309, 28-43 (2017). Reviewer: Vyacheslav I. Maksimov (Yekaterinburg) MSC: 65M32 65J20 35K20 35R30 65M60 PDFBibTeX XMLCite \textit{D. N. Hào} et al., J. Comput. Appl. Math. 309, 28--43 (2017; Zbl 1433.65195) Full Text: DOI
Pyatkov, S. G.; Safonov, E. I. On some classes of inverse problems of recovering a source function. (Russian, English) Zbl 1399.35366 Mat. Tr. 19, No. 1, 178-198 (2016); translation in Sib. Adv. Math. 27, No. 2, 119-132 (2017). MSC: 35R30 35K20 PDFBibTeX XMLCite \textit{S. G. Pyatkov} and \textit{E. I. Safonov}, Mat. Tr. 19, No. 1, 178--198 (2016; Zbl 1399.35366); translation in Sib. Adv. Math. 27, No. 2, 119--132 (2017) Full Text: DOI
Cheng, Wei Regularization and stability estimates for an inverse source problem of the radially symmetric parabolic equation. (English) Zbl 1516.35502 J. Inequal. Appl. 2015, Paper No. 136, 10 p. (2015). MSC: 35R30 35B45 35K20 65J20 65M30 PDFBibTeX XMLCite \textit{W. Cheng}, J. Inequal. Appl. 2015, Paper No. 136, 10 p. (2015; Zbl 1516.35502) Full Text: DOI
Hasanov, Alemdar; Mukanova, Balgaisha Fourier collocation algorithm for identifying the spacewise-dependent source in the advection-diffusion equation from boundary data measurements. (English) Zbl 1329.65211 Appl. Numer. Math. 97, 1-14 (2015). MSC: 65M32 65M70 PDFBibTeX XMLCite \textit{A. Hasanov} and \textit{B. Mukanova}, Appl. Numer. Math. 97, 1--14 (2015; Zbl 1329.65211) Full Text: DOI
Abdelaziz, Batoul; El Badia, Abdellatif; El Hajj, Ahmad Direct algorithm for multipolar sources reconstruction. (English) Zbl 1325.65149 J. Math. Anal. Appl. 428, No. 1, 306-336 (2015). MSC: 65N21 35J05 78A25 78M25 PDFBibTeX XMLCite \textit{B. Abdelaziz} et al., J. Math. Anal. Appl. 428, No. 1, 306--336 (2015; Zbl 1325.65149) Full Text: DOI
Wang, Baiyu Moving least squares method for a one-dimensional parabolic inverse problem. (English) Zbl 1474.65333 Abstr. Appl. Anal. 2014, Article ID 686020, 12 p. (2014). MSC: 65M32 35R30 PDFBibTeX XMLCite \textit{B. Wang}, Abstr. Appl. Anal. 2014, Article ID 686020, 12 p. (2014; Zbl 1474.65333) Full Text: DOI
Zhao, Zhenyu; Meng, Zehong; You, Lei; Xie, Ou Identifying an unknown source in the Poisson equation by the method of Tikhonov regularization in Hilbert scales. (English) Zbl 1428.35684 Appl. Math. Modelling 38, No. 19-20, 4686-4693 (2014). MSC: 35R30 65M32 PDFBibTeX XMLCite \textit{Z. Zhao} et al., Appl. Math. Modelling 38, No. 19--20, 4686--4693 (2014; Zbl 1428.35684) Full Text: DOI
Shi, Cong; Wang, Chen; Wei, Ting Numerical solution for an inverse heat source problem by an iterative method. (English) Zbl 1336.65157 Appl. Math. Comput. 244, 577-597 (2014). MSC: 65M32 80A23 PDFBibTeX XMLCite \textit{C. Shi} et al., Appl. Math. Comput. 244, 577--597 (2014; Zbl 1336.65157) Full Text: DOI
Wang, Wenyan; Yamamoto, Masahiro; Han, Bo Two-dimensional parabolic inverse source problem with final overdetermination in reproducing kernel space. (English) Zbl 1297.35291 Chin. Ann. Math., Ser. B 35, No. 3, 469-482 (2014). MSC: 35R30 35K55 47B32 65M32 PDFBibTeX XMLCite \textit{W. Wang} et al., Chin. Ann. Math., Ser. B 35, No. 3, 469--482 (2014; Zbl 1297.35291) Full Text: DOI
Hào, Dinh Nho; Thanh, Phan Xuan; Lesnic, D.; Ivanchov, M. Determination of a source in the heat equation from integral observations. (English) Zbl 1294.35195 J. Comput. Appl. Math. 264, 82-98 (2014). MSC: 35R30 35K05 65M32 PDFBibTeX XMLCite \textit{D. N. Hào} et al., J. Comput. Appl. Math. 264, 82--98 (2014; Zbl 1294.35195) Full Text: DOI
Abdelaziz, Batoul; El Badia, Abdellatif; El Hajj, Ahmad Reconstruction of extended sources with small supports in the elliptic equation \(\Delta u+\mu u=F\) from a single Cauchy data. (Reconstruction de sources dont le support est de petite taille, dans l’équation elliptique \(\Delta u+\mu u=F\), à partir d’une seule donnée de Cauchy.) (English. Abridged French version) Zbl 1282.35405 C. R., Math., Acad. Sci. Paris 351, No. 21-22, 797-801 (2013). Reviewer: Dinh Nho Hào (Hanoi) MSC: 35R30 PDFBibTeX XMLCite \textit{B. Abdelaziz} et al., C. R., Math., Acad. Sci. Paris 351, No. 21--22, 797--801 (2013; Zbl 1282.35405) Full Text: DOI
El Badia, Abdellatif; El Hajj, Ahmad Hölder stability estimates for some inverse pointwise source problems. (English. Abridged French version) Zbl 1271.35029 C. R., Math., Acad. Sci. Paris 350, No. 23-24, 1031-1035 (2012). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35J60 35B45 35B35 PDFBibTeX XMLCite \textit{A. El Badia} and \textit{A. El Hajj}, C. R., Math., Acad. Sci. Paris 350, No. 23--24, 1031--1035 (2012; Zbl 1271.35029) Full Text: DOI
Tlatli-Hariga, Nejla; Bouhlila, Rachida; Ben Abda, Amel Recovering data in groundwater: boundary conditions and Wells’ positions and fluxes. (English) Zbl 1237.86004 Comput. Geosci. 15, No. 4, 637-645 (2011). MSC: 86A05 86A22 PDFBibTeX XMLCite \textit{N. Tlatli-Hariga} et al., Comput. Geosci. 15, No. 4, 637--645 (2011; Zbl 1237.86004) Full Text: DOI
Ben Abda, Amel; Ben Hassen, Fahmi; Leblond, Juliette; Mahjoub, Moncef Sources recovery from boundary data: A model related to electroencephalography. (English) Zbl 1171.92327 Math. Comput. Modelling 49, No. 11-12, 2213-2223 (2009). MSC: 92C55 35Q92 35R30 65N21 92C20 PDFBibTeX XMLCite \textit{A. Ben Abda} et al., Math. Comput. Modelling 49, No. 11--12, 2213--2223 (2009; Zbl 1171.92327) Full Text: DOI
Hamdi, Adel Identification of point sources in two-dimensional advection-diffusion-reaction equation: application to pollution sources in a river. Stationary case. (English) Zbl 1258.76151 Inverse Probl. Sci. Eng. 15, No. 8, 855-870 (2007). MSC: 76R99 76V05 86A05 86A22 PDFBibTeX XMLCite \textit{A. Hamdi}, Inverse Probl. Sci. Eng. 15, No. 8, 855--870 (2007; Zbl 1258.76151) Full Text: DOI