Kozitskiy, Sergey B.; Trofimov, Mikhail Yu.; Petrov, Pavel S. On the numerical solution of the iterative parabolic equations by ETDRK pseudospectral methods in linear and nonlinear media. (English) Zbl 07474632 Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106228, 14 p. (2022). MSC: 65Mxx 65Lxx 78Axx PDF BibTeX XML Cite \textit{S. B. Kozitskiy} et al., Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106228, 14 p. (2022; Zbl 07474632) Full Text: DOI OpenURL
Zhao, Hongkai; Zhong, Yimin A hybrid adaptive phase space method for reflection traveltime tomography. (English) Zbl 1428.65038 SIAM J. Imaging Sci. 12, No. 1, 28-53 (2019). MSC: 65M32 70H05 78A46 81U40 PDF BibTeX XML Cite \textit{H. Zhao} and \textit{Y. Zhong}, SIAM J. Imaging Sci. 12, No. 1, 28--53 (2019; Zbl 1428.65038) Full Text: DOI arXiv OpenURL
Li, Peng; Liu, Keying; Zhong, Weizhou Marching schemes for inverse scattering problems in waveguides with curved boundaries. (English) Zbl 1378.78024 J. Comput. Appl. Math. 328, 287-301 (2018). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A46 35J05 78A40 78A50 78M20 PDF BibTeX XML Cite \textit{P. Li} et al., J. Comput. Appl. Math. 328, 287--301 (2018; Zbl 1378.78024) Full Text: DOI Link OpenURL
Barrera-Figueroa, Víctor; Rabinovich, Vladimir S. Cherenkov radiation in a planarly layered waveguide in the case of polarized waves. (English) Zbl 1358.78031 Bol. Soc. Mat. Mex., III. Ser. 22, No. 2, 431-459 (2016). Reviewer: Luisa Consiglieri (Lisboa) MSC: 78A50 35J08 35J25 78M22 78M35 78A40 PDF BibTeX XML Cite \textit{V. Barrera-Figueroa} and \textit{V. S. Rabinovich}, Bol. Soc. Mat. Mex., III. Ser. 22, No. 2, 431--459 (2016; Zbl 1358.78031) Full Text: DOI OpenURL
Li, Peng; Liu, Keying; Zuo, Weibing; Zhong, Weizhou Error analysis for the operator marching method applied to range dependent waveguides. (English) Zbl 1457.65171 J. Inverse Ill-Posed Probl. 24, No. 5, 625-636 (2016). MSC: 65N21 65N20 65N12 65N15 35J05 35B44 78A50 78A40 PDF BibTeX XML Cite \textit{P. Li} et al., J. Inverse Ill-Posed Probl. 24, No. 5, 625--636 (2016; Zbl 1457.65171) Full Text: DOI OpenURL
Li, Peng; Zhong, Weizhou The inverse fundamental operator marching method for Cauchy problems in range-dependent stratified waveguides. (English) Zbl 1235.65128 Math. Probl. Eng. 2011, Article ID 259479, 15 p. (2011). MSC: 65N20 78M25 65J20 78A50 PDF BibTeX XML Cite \textit{P. Li} and \textit{W. Zhong}, Math. Probl. Eng. 2011, Article ID 259479, 15 p. (2011; Zbl 1235.65128) Full Text: DOI OpenURL
Fibich, G.; Tsynkov, S. Numerical solution of the nonlinear Helmholtz equation using nonorthogonal expansions. (English) Zbl 1076.78008 J. Comput. Phys. 210, No. 1, 183-224 (2005). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 78A60 35J05 35J65 65N06 PDF BibTeX XML Cite \textit{G. Fibich} and \textit{S. Tsynkov}, J. Comput. Phys. 210, No. 1, 183--224 (2005; Zbl 1076.78008) Full Text: DOI Link OpenURL
Lu, Ya Yan A fourth-order Magnus scheme for Helmholtz equation. (English) Zbl 1065.65132 J. Comput. Appl. Math. 173, No. 2, 247-258 (2005). MSC: 65N35 35J05 76W05 78A50 PDF BibTeX XML Cite \textit{Y. Y. Lu}, J. Comput. Appl. Math. 173, No. 2, 247--258 (2005; Zbl 1065.65132) Full Text: DOI OpenURL
Levy, M. F.; Zaporozhets, A. A. Parabolic equation techniques for scattering. (English) Zbl 1074.76605 Wave Motion 31, No. 2, 147-156 (2000). MSC: 76Q05 78A45 PDF BibTeX XML Cite \textit{M. F. Levy} and \textit{A. A. Zaporozhets}, Wave Motion 31, No. 2, 147--156 (2000; Zbl 1074.76605) Full Text: DOI OpenURL
Lu, Ya Yan One-way large range step methods for Helmholtz waveguides. (English) Zbl 0944.65110 J. Comput. Phys. 152, No. 1, 231-250 (1999). Reviewer: Laura-Iulia Aniţa (Iaşi) MSC: 65N06 65N50 78A50 78M20 35J05 PDF BibTeX XML Cite \textit{Y. Y. Lu}, J. Comput. Phys. 152, No. 1, 231--250 (1999; Zbl 0944.65110) Full Text: DOI OpenURL