Xu, Kailai; Darve, Eric Physics constrained learning for data-driven inverse modeling from sparse observations. (English) Zbl 07517712 J. Comput. Phys. 453, Article ID 110938, 24 p. (2022). MSC: 65Nxx 49Mxx 65Yxx PDF BibTeX XML Cite \textit{K. Xu} and \textit{E. Darve}, J. Comput. Phys. 453, Article ID 110938, 24 p. (2022; Zbl 07517712) Full Text: DOI arXiv OpenURL
Bao, Gang; Triki, Faouzi Stability for the multifrequency inverse medium problem. (English) Zbl 1443.35180 J. Differ. Equations 269, No. 9, 7106-7128 (2020). MSC: 35R30 35J05 35L10 47A52 65J22 35Q74 74B05 74J25 PDF BibTeX XML Cite \textit{G. Bao} and \textit{F. Triki}, J. Differ. Equations 269, No. 9, 7106--7128 (2020; Zbl 1443.35180) Full Text: DOI arXiv OpenURL
Abazid, Mohammad Alakel; Lakhal, Aref; Louis, Alfred K. Inverse design of anti-reflection coatings using the nonlinear approximate inverse. (English) Zbl 1342.65237 Inverse Probl. Sci. Eng. 24, No. 6, 917-935 (2016). MSC: 65R10 65R30 78A46 PDF BibTeX XML Cite \textit{M. A. Abazid} et al., Inverse Probl. Sci. Eng. 24, No. 6, 917--935 (2016; Zbl 1342.65237) Full Text: DOI OpenURL
Beltiţă, Ingrid; Bunoiu, Renata Inverse scattering for the 1-D Helmholtz equation. (English) Zbl 1356.34084 Complex Anal. Oper. Theory 10, No. 4, 639-666 (2016). Reviewer: Mihai Pascu (Bucureşti) MSC: 34L25 81U40 PDF BibTeX XML Cite \textit{I. Beltiţă} and \textit{R. Bunoiu}, Complex Anal. Oper. Theory 10, No. 4, 639--666 (2016; Zbl 1356.34084) Full Text: DOI arXiv OpenURL
Timonov, A. Iterative solutions of the inverse problems of frequency sounding and electrical prospecting of layered media. (English) Zbl 1321.65148 Inverse Probl. Sci. Eng. 22, No. 8, 1329-1344 (2014). MSC: 65M32 PDF BibTeX XML Cite \textit{A. Timonov}, Inverse Probl. Sci. Eng. 22, No. 8, 1329--1344 (2014; Zbl 1321.65148) Full Text: DOI OpenURL
Yao, Jie; Lesage, Anne-Cécile; Bodmann, Bernhard G.; Hussain, Fazle; Kouri, Donald J. Inverse scattering theory: inverse scattering series method for one dimensional non-compact support potential. (English) Zbl 1308.76251 J. Math. Phys. 55, No. 12, 123512, 15 p. (2014). MSC: 76Q05 74J20 86A15 35R30 PDF BibTeX XML Cite \textit{J. Yao} et al., J. Math. Phys. 55, No. 12, 123512, 15 p. (2014; Zbl 1308.76251) Full Text: DOI OpenURL
Bao, Gang; Chow, Shui-Nee; Li, Peijun; Zhou, Haomin An inverse random source problem for the Helmholtz equation. (English) Zbl 1278.65005 Math. Comput. 83, No. 285, 215-233 (2014). MSC: 65C30 65L09 65L10 34A55 34B05 78A46 60H10 34F05 60H35 PDF BibTeX XML Cite \textit{G. Bao} et al., Math. Comput. 83, No. 285, 215--233 (2014; Zbl 1278.65005) Full Text: DOI OpenURL
Bao, Gang; Triki, Faouzi Reconstruction of a defect in an open waveguide. (English) Zbl 1304.35760 Sci. China, Math. 56, No. 12, 2539-2548 (2013). MSC: 35R30 35J05 35P25 PDF BibTeX XML Cite \textit{G. Bao} and \textit{F. Triki}, Sci. China, Math. 56, No. 12, 2539--2548 (2013; Zbl 1304.35760) Full Text: DOI OpenURL
Ammari, Habib; Kang, Hyeonbae; Lim, Mikyoung; Zribi, Habib The generalized polarization tensors for resolved imaging. I: Shape reconstruction of a conductivity inclusion. (English) Zbl 1236.49084 Math. Comput. 81, No. 277, 367-386 (2012). MSC: 49Q10 49Q12 PDF BibTeX XML Cite \textit{H. Ammari} et al., Math. Comput. 81, No. 277, 367--386 (2012; Zbl 1236.49084) Full Text: DOI OpenURL
Chen, Yu; Duan, Ran; Rokhlin, Vladimir On the inverse scattering problem in the acoustic environment. (English) Zbl 1168.65050 J. Comput. Phys. 228, No. 9, 3209-3231 (2009). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 65M32 35R30 76Q05 PDF BibTeX XML Cite \textit{Y. Chen} et al., J. Comput. Phys. 228, No. 9, 3209--3231 (2008; Zbl 1168.65050) Full Text: DOI OpenURL
Tamasan, Alexandru; Timonov, Alexandre On a new approach to frequency sounding of layered media. (English) Zbl 1185.35336 Numer. Funct. Anal. Optim. 29, No. 3-4, 470-486 (2008). MSC: 35R30 35L10 35L15 35C20 45E10 78A45 PDF BibTeX XML Cite \textit{A. Tamasan} and \textit{A. Timonov}, Numer. Funct. Anal. Optim. 29, No. 3--4, 470--486 (2008; Zbl 1185.35336) Full Text: DOI OpenURL
Van der Mee, Cornelis; Seatzu, Sebastiano; Theis, Daniela Structured matrix algorithms for inverse scattering on the line. (English) Zbl 1168.34305 Calcolo 44, No. 2, 59-87 (2007). MSC: 34A55 34L25 65R20 78A46 81U40 PDF BibTeX XML Cite \textit{C. Van der Mee} et al., Calcolo 44, No. 2, 59--87 (2007; Zbl 1168.34305) Full Text: DOI OpenURL
Aktosun, Tuncay; Sacks, Paul E. Potential splitting and numerical solution of the inverse scattering problem on the line. (English) Zbl 1054.34137 Math. Methods Appl. Sci. 25, No. 4, 347-355 (2002). Reviewer: Vjacheslav Yurko (Saratov) MSC: 34L25 65L09 34B24 47E05 PDF BibTeX XML Cite \textit{T. Aktosun} and \textit{P. E. Sacks}, Math. Methods Appl. Sci. 25, No. 4, 347--355 (2002; Zbl 1054.34137) Full Text: DOI Link OpenURL
Henkin, G. M.; Novikova, N. N. The reconstruction of the attracting potential in the Sturm-Liouville equation through characteristics of the negative discrete spectrum. (English) Zbl 0859.34009 Stud. Appl. Math. 97, No. 1, 17-52 (1996). Reviewer: J.Appell (Würzburg) MSC: 34A55 34B24 PDF BibTeX XML Cite \textit{G. M. Henkin} and \textit{N. N. Novikova}, Stud. Appl. Math. 97, No. 1, 17--52 (1996; Zbl 0859.34009) Full Text: DOI OpenURL
Sacks, Paul E. Reconstruction of steplike potentials. (English) Zbl 0803.34075 Wave Motion 18, No. 1, 21-30 (1993). MSC: 34L40 81Q05 34A55 PDF BibTeX XML Cite \textit{P. E. Sacks}, Wave Motion 18, No. 1, 21--30 (1993; Zbl 0803.34075) Full Text: DOI OpenURL