Ren, Kui; Zhao, Hongkai; Zhong, Yimin Separability of the kernel function in an integral formulation for the anisotropic radiative transfer equation. (English) Zbl 1475.45002 SIAM J. Math. Anal. 53, No. 5, 5613-5645 (2021). MSC: 45B05 85A25 33C55 35Q79 65R20 PDFBibTeX XMLCite \textit{K. Ren} et al., SIAM J. Math. Anal. 53, No. 5, 5613--5645 (2021; Zbl 1475.45002) Full Text: DOI arXiv
Li, Ji; Cai, Jian-Feng; Zhao, Hongkai Scalable incremental nonconvex optimization approach for phase retrieval. (English) Zbl 1466.90078 J. Sci. Comput. 87, No. 2, Paper No. 43, 26 p. (2021). MSC: 90C26 90C22 49N45 94A20 PDFBibTeX XMLCite \textit{J. Li} et al., J. Sci. Comput. 87, No. 2, Paper No. 43, 26 p. (2021; Zbl 1466.90078) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{H. Zhao} and \textit{Y. Zhong}, SIAM J. Imaging Sci. 12, No. 1, 28--53 (2019; Zbl 1428.65038) Full Text: DOI arXiv
Fang, Jun; Qian, Jianliang; Zepeda-Núñez, Leonardo; Zhao, Hongkai A hybrid approach to solve the high-frequency Helmholtz equation with source singularity in smooth heterogeneous media. (English) Zbl 1415.65255 J. Comput. Phys. 371, 261-279 (2018). MSC: 65N30 35J05 65N15 PDFBibTeX XMLCite \textit{J. Fang} et al., J. Comput. Phys. 371, 261--279 (2018; Zbl 1415.65255) Full Text: DOI arXiv
Fang, Jun; Qian, Jianliang; Zepeda-Núñez, Leonardo; Zhao, Hongkai Learning dominant wave directions for plane wave methods for high-frequency Helmholtz equations. (English) Zbl 1425.35016 Res. Math. Sci. 4, Paper No. 9, 35 p. (2017). MSC: 35J05 35J25 65N30 PDFBibTeX XMLCite \textit{J. Fang} et al., Res. Math. Sci. 4, Paper No. 9, 35 p. (2017; Zbl 1425.35016) Full Text: DOI arXiv
Luo, Songting; Zhao, Hongkai Convergence analysis of the fast sweeping method for static convex Hamilton-Jacobi equations. (English) Zbl 1356.35094 Res. Math. Sci. 3, Paper No. 35, 28 p. (2016). MSC: 35F21 35L02 65N06 65N12 35A35 PDFBibTeX XMLCite \textit{S. Luo} and \textit{H. Zhao}, Res. Math. Sci. 3, Paper No. 35, 28 p. (2016; Zbl 1356.35094) Full Text: DOI
Hon, Sean Y.; Leung, Shingyu; Zhao, Hongkai A cell based particle method for modeling dynamic interfaces. (English) Zbl 1349.82038 J. Comput. Phys. 272, 279-306 (2014). MSC: 82C24 82C80 65M75 PDFBibTeX XMLCite \textit{S. Y. Hon} et al., J. Comput. Phys. 272, 279--306 (2014; Zbl 1349.82038) Full Text: DOI
Fomel, Sergey; Luo, Songting; Zhao, Hongkai Fast sweeping method for the factored eikonal equation. (English) Zbl 1175.65125 J. Comput. Phys. 228, No. 17, 6440-6455 (2009). MSC: 65N06 35F30 65N12 PDFBibTeX XMLCite \textit{S. Fomel} et al., J. Comput. Phys. 228, No. 17, 6440--6455 (2009; Zbl 1175.65125) Full Text: DOI
Leung, Shingyu; Zhao, Hongkai A grid based particle method for moving interface problems. (English) Zbl 1161.65013 J. Comput. Phys. 228, No. 8, 2993-3024 (2009). MSC: 65D17 76M25 78A05 PDFBibTeX XMLCite \textit{S. Leung} and \textit{H. Zhao}, J. Comput. Phys. 228, No. 8, 2993--3024 (2009; Zbl 1161.65013) Full Text: DOI
Li, Fengyan; Shu, Chi-Wang; Zhang, Yong-Tao; Zhao, Hongkai A second order discontinuous Galerkin fast sweeping method for eikonal equations. (English) Zbl 1151.65092 J. Comput. Phys. 227, No. 17, 8191-8208 (2008). MSC: 65N30 35F15 49L25 65N12 65N15 PDFBibTeX XMLCite \textit{F. Li} et al., J. Comput. Phys. 227, No. 17, 8191--8208 (2008; Zbl 1151.65092) Full Text: DOI
Qian, Jianliang; Zhang, Yong-Tao; Zhao, Hong-Kai A fast sweeping method for static convex Hamilton-Jacobi equations. (English) Zbl 1115.70005 J. Sci. Comput. 31, No. 1-2, 237-271 (2007). MSC: 70-08 70H20 PDFBibTeX XMLCite \textit{J. Qian} et al., J. Sci. Comput. 31, No. 1--2, 237--271 (2007; Zbl 1115.70005) Full Text: DOI
Zhang, Yong-Tao; Zhao, Hong-Kai; Qian, Jianliang High order fast sweeping methods for static Hamilton-Jacobi equations. (English) Zbl 1149.70302 J. Sci. Comput. 29, No. 1, 25-56 (2006). MSC: 70-08 70H20 PDFBibTeX XMLCite \textit{Y.-T. Zhang} et al., J. Sci. Comput. 29, No. 1, 25--56 (2006; Zbl 1149.70302) Full Text: DOI
Zhao, Hongkai A fast sweeping method for eikonal equations. (English) Zbl 1070.65113 Math. Comput. 74, No. 250, 603-627 (2005). Reviewer: Krzysztof Moszyński (Warszawa) MSC: 65N06 65N12 65N15 35L50 35L60 PDFBibTeX XMLCite \textit{H. Zhao}, Math. Comput. 74, No. 250, 603--627 (2005; Zbl 1070.65113) Full Text: DOI