Carasso, Alfred S. Data assimilation in 2D viscous Burgers equation using a stabilized explicit finite difference scheme run backward in time. (English) Zbl 07484766 Inverse Probl. Sci. Eng. 29, No. 13, 3475-3489 (2021). MSC: 35K59 35R25 65M12 65M30 PDFBibTeX XMLCite \textit{A. S. Carasso}, Inverse Probl. Sci. Eng. 29, No. 13, 3475--3489 (2021; Zbl 07484766) Full Text: DOI
Carasso, Alfred S. Stabilized leapfrog scheme run backward in time, and the explicit \(O( \Delta\) t)\(^2\) stepwise computation of ill-posed time-reversed 2D Navier-Stokes equations. (English) Zbl 07484748 Inverse Probl. Sci. Eng. 29, No. 13, 3062-3085 (2021). MSC: 35Q30 35R25 65M12 65M30 PDFBibTeX XMLCite \textit{A. S. Carasso}, Inverse Probl. Sci. Eng. 29, No. 13, 3062--3085 (2021; Zbl 07484748) Full Text: DOI
Chen, Bo; Sun, Yao A simple method of reconstructing a point-like scatterer according to time-dependent acoustic wave propagation. (English) Zbl 07480117 Inverse Probl. Sci. Eng. 29, No. 12, 1895-1911 (2021). MSC: 35L05 65M32 65M80 PDFBibTeX XMLCite \textit{B. Chen} and \textit{Y. Sun}, Inverse Probl. Sci. Eng. 29, No. 12, 1895--1911 (2021; Zbl 07480117) Full Text: DOI
Carasso, Alfred S. Computing ill-posed time-reversed 2D Navier-Stokes equations, using a stabilized explicit finite difference scheme marching backward in time. (English) Zbl 1475.65102 Inverse Probl. Sci. Eng. 28, No. 7, 988-1010 (2020). MSC: 65M30 65M32 65M06 65T50 65M55 65M12 76D05 35Q30 35R25 PDFBibTeX XMLCite \textit{A. S. Carasso}, Inverse Probl. Sci. Eng. 28, No. 7, 988--1010 (2020; Zbl 1475.65102) Full Text: DOI
Kokila, J.; Nair, M. T. Fourier truncation method for the non-homogeneous time fractional backward heat conduction problem. (English) Zbl 1466.35360 Inverse Probl. Sci. Eng. 28, No. 3, 402-426 (2020). MSC: 35R11 35R30 35R25 35K20 33E12 PDFBibTeX XMLCite \textit{J. Kokila} and \textit{M. T. Nair}, Inverse Probl. Sci. Eng. 28, No. 3, 402--426 (2020; Zbl 1466.35360) Full Text: DOI
Carasso, Alfred S. Stable explicit stepwise marching scheme in ill-posed time-reversed 2D Burgers’ equation. (English) Zbl 1466.65101 Inverse Probl. Sci. Eng. 27, No. 12, 1672-1688 (2019). Reviewer: Carlos A. De Moura (Rio de Janeiro) MSC: 65M30 65M06 65M12 35R25 35K59 35Q53 PDFBibTeX XMLCite \textit{A. S. Carasso}, Inverse Probl. Sci. Eng. 27, No. 12, 1672--1688 (2019; Zbl 1466.65101) Full Text: DOI Link
Hamdi, Adel A non-iterative method for identifying multiple unknown time-dependent sources compactly supported occurring in a 2D parabolic equation. (English) Zbl 1409.65063 Inverse Probl. Sci. Eng. 26, No. 5, 744-772 (2018). MSC: 65M32 35K20 35R30 PDFBibTeX XMLCite \textit{A. Hamdi}, Inverse Probl. Sci. Eng. 26, No. 5, 744--772 (2018; Zbl 1409.65063) Full Text: DOI
Lukassen, Axel Ariaan; Kiehl, Martin Parameter estimation with model order reduction for elliptic differential equations. (English) Zbl 1398.65277 Inverse Probl. Sci. Eng. 26, No. 4, 479-497 (2018). MSC: 65N21 PDFBibTeX XMLCite \textit{A. A. Lukassen} and \textit{M. Kiehl}, Inverse Probl. Sci. Eng. 26, No. 4, 479--497 (2018; Zbl 1398.65277) Full Text: DOI
Ameur, H. Ben; Chavent, G.; Cheikh, F.; Clément, F.; Martin, V.; Roberts, J. E. First-order indicators for the estimation of discrete fractures in porous media. (English) Zbl 1391.74226 Inverse Probl. Sci. Eng. 26, No. 1, 1-32 (2018). MSC: 74R10 76S05 76M25 35R30 86A05 PDFBibTeX XMLCite \textit{H. B. Ameur} et al., Inverse Probl. Sci. Eng. 26, No. 1, 1--32 (2018; Zbl 1391.74226) Full Text: DOI arXiv
Hamdi, Adel Detection-identification of multiple unknown time-dependent point sources in a \(2D\) transport equation: application to accidental pollution. (English) Zbl 1398.65234 Inverse Probl. Sci. Eng. 25, No. 10, 1423-1447 (2017). MSC: 65M32 86A04 PDFBibTeX XMLCite \textit{A. Hamdi}, Inverse Probl. Sci. Eng. 25, No. 10, 1423--1447 (2017; Zbl 1398.65234) Full Text: DOI
Crabb, M. G. Convergence study of \(2D\) forward problem of electrical impedance tomography with high-order finite elements. (English) Zbl 1398.65295 Inverse Probl. Sci. Eng. 25, No. 10, 1397-1422 (2017); erratum ibid. 25, No. 10, x (2017). MSC: 65N30 65N12 65N20 92C55 PDFBibTeX XMLCite \textit{M. G. Crabb}, Inverse Probl. Sci. Eng. 25, No. 10, 1397--1422 (2017; Zbl 1398.65295) Full Text: DOI
Tuan, Nguyen Huy; Long, Le Dinh; Nguyen, Van Thinh; Tran, Thanh On a final value problem for the time-fractional diffusion equation with inhomogeneous source. (English) Zbl 1398.65240 Inverse Probl. Sci. Eng. 25, No. 9, 1367-1395 (2017). MSC: 65M32 35R11 35K05 47A52 62G08 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., Inverse Probl. Sci. Eng. 25, No. 9, 1367--1395 (2017; Zbl 1398.65240) Full Text: DOI
Hamdi, Adel Detection and identification of multiple unknown time-dependent point sources occurring in 1D evolution transport equations. (English) Zbl 1359.65177 Inverse Probl. Sci. Eng. 25, No. 4, 532-554 (2017). MSC: 65M32 35K20 PDFBibTeX XMLCite \textit{A. Hamdi}, Inverse Probl. Sci. Eng. 25, No. 4, 532--554 (2017; Zbl 1359.65177) Full Text: DOI
Liu, Chein-Shan A vector regularization method to solve linear inverse problems. (English) Zbl 1329.65083 Inverse Probl. Sci. Eng. 22, No. 5, 765-786 (2014). MSC: 65F22 PDFBibTeX XMLCite \textit{C.-S. Liu}, Inverse Probl. Sci. Eng. 22, No. 5, 765--786 (2014; Zbl 1329.65083) Full Text: DOI
Uribe, Juan José; Gutiérrez, Sergio A method based on non-steady heat diffusion problems for detecting the location of inclusions. (English) Zbl 1321.65149 Inverse Probl. Sci. Eng. 22, No. 7, 1128-1149 (2014). MSC: 65M32 35K20 35R30 PDFBibTeX XMLCite \textit{J. J. Uribe} and \textit{S. Gutiérrez}, Inverse Probl. Sci. Eng. 22, No. 7, 1128--1149 (2014; Zbl 1321.65149) Full Text: DOI
Liu, Chein-Shan An optimal tri-vector iterative algorithm for solving ill-posed linear inverse problems. (English) Zbl 1281.65100 Inverse Probl. Sci. Eng. 21, No. 4, 650-681 (2013). MSC: 65L09 65F22 35J05 35K05 35R30 65N21 65M12 34A34 65N12 PDFBibTeX XMLCite \textit{C.-S. Liu}, Inverse Probl. Sci. Eng. 21, No. 4, 650--681 (2013; Zbl 1281.65100) Full Text: DOI
Mura, Joaquín; Gutiérrez, Sergio Detection of weak defects in elastic bodies through small amplitude homogenization. (English) Zbl 1284.74103 Inverse Probl. Sci. Eng. 19, No. 2, 233-250 (2011). MSC: 74Q05 35B27 49J45 65N21 74E05 74P10 PDFBibTeX XMLCite \textit{J. Mura} and \textit{S. Gutiérrez}, Inverse Probl. Sci. Eng. 19, No. 2, 233--250 (2011; Zbl 1284.74103) Full Text: DOI
Carpio, A.; Rapún, M.-L. An iterative method for parameter identification and shape reconstruction. (English) Zbl 1182.65166 Inverse Probl. Sci. Eng. 18, No. 1, 35-50 (2010). MSC: 65N21 35R30 35J05 65N38 78A46 78M15 PDFBibTeX XMLCite \textit{A. Carpio} and \textit{M. L. Rapún}, Inverse Probl. Sci. Eng. 18, No. 1, 35--50 (2010; Zbl 1182.65166) Full Text: DOI