Li, Chen; King, Michael J. Impact of heterogeneity upon the accuracy of the eikonal solution using the fast marching method. (English) Zbl 07739713 Comput. Geosci. 27, No. 3, 465-484 (2023). MSC: 65M06 76M20 76S05 PDF BibTeX XML Cite \textit{C. Li} and \textit{M. J. King}, Comput. Geosci. 27, No. 3, 465--484 (2023; Zbl 07739713) Full Text: DOI
Ghandriche, Ahcene; Sini, Mourad Simultaneous reconstruction of optical and acoustical properties in photoacoustic imaging using plasmonics. (English) Zbl 07734391 SIAM J. Appl. Math. 83, No. 4, 1738-1765 (2023). MSC: 35R30 35C20 PDF BibTeX XML Cite \textit{A. Ghandriche} and \textit{M. Sini}, SIAM J. Appl. Math. 83, No. 4, 1738--1765 (2023; Zbl 07734391) Full Text: DOI arXiv
Abdul Salam, P. S.; Tiwari, S.; Klar, A.; Sundar, S. A numerical investigation of pedestrian dynamics based on rational behaviour in different density scenarios. (English) Zbl 07715794 Physica A 624, Article ID 128933, 17 p. (2023). MSC: 82-XX PDF BibTeX XML Cite \textit{P. S. Abdul Salam} et al., Physica A 624, Article ID 128933, 17 p. (2023; Zbl 07715794) Full Text: DOI
Liu, Yang; Song, Jian; Burridge, Robert; Qian, Jianliang A fast butterfly-compressed Hadamard-Babich integrator for high-frequency Helmholtz equations in inhomogeneous media with arbitrary sources. (English) Zbl 07705305 Multiscale Model. Simul. 21, No. 1, 269-308 (2023). MSC: 65R10 65R20 65Nxx PDF BibTeX XML Cite \textit{Y. Liu} et al., Multiscale Model. Simul. 21, No. 1, 269--308 (2023; Zbl 07705305) Full Text: DOI arXiv
Yeo, Zhan Fei; Hoang, Viet Ha Bayesian inversion of log-normal eikonal equations. (English) Zbl 1516.35545 Inverse Probl. 39, No. 6, Article ID 065007, 29 p. (2023). MSC: 35R30 35F30 65M32 PDF BibTeX XML Cite \textit{Z. F. Yeo} and \textit{V. H. Hoang}, Inverse Probl. 39, No. 6, Article ID 065007, 29 p. (2023; Zbl 1516.35545) Full Text: DOI arXiv
Qian, Jianliang; Song, Jian; Lu, Wangtao; Burridge, Robert Truncated Hadamard-Babich ansatz and fast Huygens sweeping methods for time-harmonic elastic wave equations in inhomogeneous media in the asymptotic regime. (English) Zbl 1516.78001 Minimax Theory Appl. 8, No. 1, 171-212 (2023). MSC: 78A05 78A46 78M35 PDF BibTeX XML Cite \textit{J. Qian} et al., Minimax Theory Appl. 8, No. 1, 171--212 (2023; Zbl 1516.78001) Full Text: Link
Martini, Alessio; Müller, Detlef; Nicolussi Golo, Sebastiano Spectral multipliers and wave equation for sub-Laplacians: lower regularity bounds of Euclidean type. (English) Zbl 1514.35114 J. Eur. Math. Soc. (JEMS) 25, No. 3, 785-843 (2023). MSC: 35H20 35L05 35S30 35R01 42B15 43A22 58J60 PDF BibTeX XML Cite \textit{A. Martini} et al., J. Eur. Math. Soc. (JEMS) 25, No. 3, 785--843 (2023; Zbl 1514.35114) Full Text: DOI arXiv
Fan, Yuwei; Ying, Lexing Solving traveltime tomography with deep learning. (English) Zbl 1515.65142 Commun. Math. Stat. 11, No. 1, 3-19 (2023). MSC: 65J22 68T07 74J25 PDF BibTeX XML Cite \textit{Y. Fan} and \textit{L. Ying}, Commun. Math. Stat. 11, No. 1, 3--19 (2023; Zbl 1515.65142) Full Text: DOI arXiv
Fehrenbach, Jérôme; Weynans, Lisl Source and metric estimation in the eikonal equation using optimization on a manifold. (English) Zbl 1512.35657 Inverse Probl. Imaging 17, No. 2, 419-440 (2023). MSC: 35R30 35F21 49Q12 PDF BibTeX XML Cite \textit{J. Fehrenbach} and \textit{L. Weynans}, Inverse Probl. Imaging 17, No. 2, 419--440 (2023; Zbl 1512.35657) Full Text: DOI
Bardi, Martino; Kouhkouh, Hicham An eikonal equation with vanishing Lagrangian arising in global optimization. (English) Zbl 1516.90057 Appl. Math. Optim. 87, No. 3, Paper No. 49, 26 p. (2023). MSC: 90C26 35Q93 PDF BibTeX XML Cite \textit{M. Bardi} and \textit{H. Kouhkouh}, Appl. Math. Optim. 87, No. 3, Paper No. 49, 26 p. (2023; Zbl 1516.90057) Full Text: DOI arXiv
Marchuk, An. G.; Moskalenskiĭ, E. D. The source configuration leading to the accumulation of tsunami wave energy around the round island. (Russian. English summary) Zbl 07666067 Sib. Zh. Vychisl. Mat. 26, No. 1, 77-92 (2023). MSC: 76-XX 35-XX PDF BibTeX XML Cite \textit{An. G. Marchuk} and \textit{E. D. Moskalenskiĭ}, Sib. Zh. Vychisl. Mat. 26, No. 1, 77--92 (2023; Zbl 07666067) Full Text: DOI MNR
Marconi, Elio Rectifiability of entropy defect measures in a micromagnetics model. (English) Zbl 1505.35091 Adv. Calc. Var. 16, No. 1, 233-257 (2023). MSC: 35F20 35B65 35L65 35L67 PDF BibTeX XML Cite \textit{E. Marconi}, Adv. Calc. Var. 16, No. 1, 233--257 (2023; Zbl 1505.35091) Full Text: DOI arXiv
Grubas, Serafim; Duchkov, Anton; Loginov, Georgy Neural eikonal solver: improving accuracy of physics-informed neural networks for solving eikonal equation in case of caustics. (English) Zbl 07640546 J. Comput. Phys. 474, Article ID 111789, 14 p. (2023). MSC: 65Nxx 68Txx 65Mxx PDF BibTeX XML Cite \textit{S. Grubas} et al., J. Comput. Phys. 474, Article ID 111789, 14 p. (2023; Zbl 07640546) Full Text: DOI arXiv
Tro, Sara; Evans, Tyco Mera; Aslam, Tariq D.; Lozano, Eduardo; Culp, David B. A second-order distributed memory parallel fast sweeping method for the eikonal equation. (English) Zbl 07640544 J. Comput. Phys. 474, Article ID 111785, 8 p. (2023). MSC: 65Nxx 35Lxx 35Fxx PDF BibTeX XML Cite \textit{S. Tro} et al., J. Comput. Phys. 474, Article ID 111785, 8 p. (2023; Zbl 07640544) Full Text: DOI
Albano, Paolo On the regularity of the distance near the boundary of an obstacle. (English) Zbl 1500.35069 J. Math. Anal. Appl. 518, No. 1, Article ID 126680, 12 p. (2023). MSC: 35B65 35D40 35F30 53A04 PDF BibTeX XML Cite \textit{P. Albano}, J. Math. Anal. Appl. 518, No. 1, Article ID 126680, 12 p. (2023; Zbl 1500.35069) Full Text: DOI
Lamy, Xavier; Lorent, Andrew; Peng, Guanying On a generalized Aviles-Giga functional: compactness, zero-energy states, regularity estimates and energy bounds. (English) Zbl 1506.35166 Commun. Partial Differ. Equations 47, No. 11, 2270-2308 (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q35 76A15 76A20 35R09 35B65 49M41 35R10 PDF BibTeX XML Cite \textit{X. Lamy} et al., Commun. Partial Differ. Equations 47, No. 11, 2270--2308 (2022; Zbl 1506.35166) Full Text: DOI arXiv
Liu, Qing; Mitsuishi, Ayato Principal eigenvalue problem for infinity Laplacian in metric spaces. (English) Zbl 1501.35273 Adv. Nonlinear Stud. 22, 548-573 (2022). MSC: 35P30 35R02 35D40 35J25 PDF BibTeX XML Cite \textit{Q. Liu} and \textit{A. Mitsuishi}, Adv. Nonlinear Stud. 22, 548--573 (2022; Zbl 1501.35273) Full Text: DOI arXiv
Magnanini, Rolando Explicit complex-valued solutions of the 2D eikonal equation. (English) Zbl 1498.78002 Appl. Anal. 101, No. 11, 3934-3946 (2022). Reviewer: Eric Stachura (Marietta) MSC: 78A05 35F20 35C05 35A22 35A30 30G20 PDF BibTeX XML Cite \textit{R. Magnanini}, Appl. Anal. 101, No. 11, 3934--3946 (2022; Zbl 1498.78002) Full Text: DOI arXiv
Ho, Myong-Song; Pak, Ji-Song; Jo, Song-Mi; Kim, Ju-Song Neighbor-gradient single-pass method for solving anisotropic eikonal equation. (English) Zbl 1500.65092 J. Sci. Comput. 91, No. 2, Paper No. 33, 21 p. (2022). Reviewer: Ljiljana Teofanov (Novi Sad) MSC: 65N06 49L12 49K15 35D40 93C10 PDF BibTeX XML Cite \textit{M.-S. Ho} et al., J. Sci. Comput. 91, No. 2, Paper No. 33, 21 p. (2022; Zbl 1500.65092) Full Text: DOI arXiv
Yang, Yong; Hao, Wenrui; Zhang, Yong-Tao A continuous finite element method with homotopy vanishing viscosity for solving the static eikonal equation. (English) Zbl 1486.65268 Commun. Comput. Phys. 31, No. 5, 1402-1433 (2022). MSC: 65N30 PDF BibTeX XML Cite \textit{Y. Yang} et al., Commun. Comput. Phys. 31, No. 5, 1402--1433 (2022; Zbl 1486.65268) Full Text: DOI
Hong, Sumin; Jang, Ganghee; Jeong, Won-Ki MG-FIM: a multi-GPU fast iterative method using adaptive domain decomposition. (English) Zbl 1507.65225 SIAM J. Sci. Comput. 44, No. 1, C54-C76 (2022). MSC: 65N22 65N55 65Y05 65Y10 PDF BibTeX XML Cite \textit{S. Hong} et al., SIAM J. Sci. Comput. 44, No. 1, C54--C76 (2022; Zbl 1507.65225) Full Text: DOI
Caboussat, Alexandre; Gourzoulidis, Dimitrios; Picasso, Marco An anisotropic adaptive method for the numerical approximation of orthogonal maps. (English) Zbl 1490.65261 J. Comput. Appl. Math. 407, Article ID 113997, 21 p. (2022). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65N50 65K10 49M20 35F30 PDF BibTeX XML Cite \textit{A. Caboussat} et al., J. Comput. Appl. Math. 407, Article ID 113997, 21 p. (2022; Zbl 1490.65261) Full Text: DOI
Disconzi, Marcelo M.; Luo, Chenyun; Mazzone, Giusy; Speck, Jared Rough sound waves in \(3D\) compressible Euler flow with vorticity. (English) Zbl 1496.35296 Sel. Math., New Ser. 28, No. 2, Paper No. 41, 153 p. (2022). MSC: 35Q31 35Q35 35L10 35L67 35B65 76L05 76Q05 PDF BibTeX XML Cite \textit{M. M. Disconzi} et al., Sel. Math., New Ser. 28, No. 2, Paper No. 41, 153 p. (2022; Zbl 1496.35296) Full Text: DOI arXiv
Qi, Yingyu Multi-stencils fast marching method for factored eikonal equations with quadratic anisotropy. (English) Zbl 1510.65207 Appl. Math. Comput. 417, Article ID 126776, 24 p. (2022). MSC: 65M06 86A15 PDF BibTeX XML Cite \textit{Y. Qi}, Appl. Math. Comput. 417, Article ID 126776, 24 p. (2022; Zbl 1510.65207) Full Text: DOI
Anikonov, Yu. E.; Bogdanov, V. V.; Volkov, Yu. S.; Derevtsov, E. Yu. On the determination of the velocity and elastic parameters of the focal zone medium from the earthquake hodographs. (Russian. English summary) Zbl 1507.86005 Sib. Zh. Ind. Mat. 24, No. 4, 5-24 (2021); translation in J. Appl. Ind. Math. 15, No. 4, 569-585 (2021). MSC: 86A15 PDF BibTeX XML Cite \textit{Yu. E. Anikonov} et al., Sib. Zh. Ind. Mat. 24, No. 4, 5--24 (2021; Zbl 1507.86005); translation in J. Appl. Ind. Math. 15, No. 4, 569--585 (2021) Full Text: DOI MNR
Bähr, Martin; Buhl, Johannes; Radow, Georg; Schmidt, Johannes; Bambach, Markus; Breuß, Michael; Fügenschuh, Armin Stable honeycomb structures and temperature based trajectory optimization for wire-arc additive manufacturing. (English) Zbl 1486.90213 Optim. Eng. 22, No. 2, 913-974 (2021). MSC: 90C90 90C11 74P10 PDF BibTeX XML Cite \textit{M. Bähr} et al., Optim. Eng. 22, No. 2, 913--974 (2021; Zbl 1486.90213) Full Text: DOI
Kazakov, Aleksandr Leonidovich; Lempert, Anna Anan’evna On the route construction in changing environments using solutions of the eikonal equation. (Russian. English summary) Zbl 1483.65098 Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 58, 59-72 (2021). MSC: 65K05 90B06 90C27 90C59 PDF BibTeX XML Cite \textit{A. L. Kazakov} and \textit{A. A. Lempert}, Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 58, 59--72 (2021; Zbl 1483.65098) Full Text: DOI MNR
Uspenskiĭ, Aleksandr Aleksandrovich; Lebedev, Pavel Dmitrievich On singularity structure of minimax solution to Dirichlet problem for eikonal type equation with discontinuous curvature of boundary of boundary set. (Russian. English summary) Zbl 1499.32049 Ufim. Mat. Zh. 13, No. 3, 129-154 (2021); translation in Ufa Math. J. 13, No. 3, 126-151 (2021). MSC: 32S30 32T27 34H20 35A18 35B32 PDF BibTeX XML Cite \textit{A. A. Uspenskiĭ} and \textit{P. D. Lebedev}, Ufim. Mat. Zh. 13, No. 3, 129--154 (2021; Zbl 1499.32049); translation in Ufa Math. J. 13, No. 3, 126--151 (2021) Full Text: DOI MNR
Uspenskiĭ, Aleksandr Aleksandrovich; Lebedev, Pabel Dmitrievich On the structure of the singular set of solutions in one class of 3D time-optimal control problems. (Russian. English summary) Zbl 1484.35011 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 31, No. 3, 471-486 (2021). MSC: 35A18 35F21 35F30 14H20 14J17 PDF BibTeX XML Cite \textit{A. A. Uspenskiĭ} and \textit{P. D. Lebedev}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 31, No. 3, 471--486 (2021; Zbl 1484.35011) Full Text: DOI MNR
Wada, Tatsuaki; Scarfone, Antonio M.; Matsuzoe, Hiroshi An eikonal equation approach to thermodynamics and the gradient flows in information geometry. (English) Zbl 07458616 Physica A 570, Article ID 125820, 15 p. (2021). MSC: 82-XX PDF BibTeX XML Cite \textit{T. Wada} et al., Physica A 570, Article ID 125820, 15 p. (2021; Zbl 07458616) Full Text: DOI arXiv
Potter, Samuel F.; Cameron, Maria K. Jet marching methods for solving the eikonal equation. (English) Zbl 1490.65307 SIAM J. Sci. Comput. 43, No. 6, A4121-A4146 (2021). MSC: 65N99 65Y20 49M99 PDF BibTeX XML Cite \textit{S. F. Potter} and \textit{M. K. Cameron}, SIAM J. Sci. Comput. 43, No. 6, A4121--A4146 (2021; Zbl 1490.65307) Full Text: DOI arXiv
Santilli, Mario Distance functions with dense singular sets. (English) Zbl 1477.35069 Commun. Partial Differ. Equations 46, No. 7, 1319-1325 (2021). MSC: 35D40 35F21 52A20 PDF BibTeX XML Cite \textit{M. Santilli}, Commun. Partial Differ. Equations 46, No. 7, 1319--1325 (2021; Zbl 1477.35069) Full Text: DOI arXiv
Li, Chen; Wang, Zhenzhen; King, Michael J. Transient drainage volume characterization and flow simulation in reservoir models using the fast marching method. (English) Zbl 1473.86010 Comput. Geosci. 25, No. 5, 1647-1666 (2021). MSC: 86-08 76S05 PDF BibTeX XML Cite \textit{C. Li} et al., Comput. Geosci. 25, No. 5, 1647--1666 (2021; Zbl 1473.86010) Full Text: DOI
Desquilbet, François; Cao, Jian; Cupillard, Paul; Métivier, Ludovic; Mirebeau, Jean-Marie Single pass computation of first seismic wave travel time in three dimensional heterogeneous media with general anisotropy. (English) Zbl 1493.65172 J. Sci. Comput. 89, No. 1, Paper No. 23, 37 p. (2021). MSC: 65N06 65K10 49M41 86A15 74E10 74L05 PDF BibTeX XML Cite \textit{F. Desquilbet} et al., J. Sci. Comput. 89, No. 1, Paper No. 23, 37 p. (2021; Zbl 1493.65172) Full Text: DOI HAL
Huang, Qian-Min; Ren, Yu-Xin; Wang, Qian High order finite volume schemes for solving the non-conservative convection equations on the unstructured grids. (English) Zbl 1498.65142 J. Sci. Comput. 88, No. 2, Paper No. 37, 34 p. (2021). Reviewer: Victor Michel-Dansac (Strasbourg) MSC: 65M08 65M12 76M12 76L05 35B44 35A15 35A01 35A02 35Q35 PDF BibTeX XML Cite \textit{Q.-M. Huang} et al., J. Sci. Comput. 88, No. 2, Paper No. 37, 34 p. (2021; Zbl 1498.65142) Full Text: DOI
Leung, Shingyu; Qian, Jianliang; Hu, Jiangtao A level-set adjoint-state method for transmission traveltime tomography in irregular domains. (English) Zbl 1469.78015 SIAM J. Sci. Comput. 43, No. 3, A2352-A2380 (2021). MSC: 78A46 78A05 78M35 PDF BibTeX XML Cite \textit{S. Leung} et al., SIAM J. Sci. Comput. 43, No. 3, A2352--A2380 (2021; Zbl 1469.78015) Full Text: DOI
Felcman, Jiří; Kubera, Petr A cellular automaton model for a pedestrian flow problem. (English) Zbl 1468.76011 Math. Model. Nat. Phenom. 16, Paper No. 11, 18 p. (2021). MSC: 76A30 76M12 68Q80 90B20 PDF BibTeX XML Cite \textit{J. Felcman} and \textit{P. Kubera}, Math. Model. Nat. Phenom. 16, Paper No. 11, 18 p. (2021; Zbl 1468.76011) Full Text: DOI
Bokanowski, Olivier; Picarelli, Athena; Reisinger, Christoph Stability and convergence of second order backward differentiation schemes for parabolic Hamilton-Jacobi-Bellman equations. (English) Zbl 1480.65204 Numer. Math. 148, No. 1, 187-222 (2021). MSC: 65M06 65M12 49L12 35K45 35B65 PDF BibTeX XML Cite \textit{O. Bokanowski} et al., Numer. Math. 148, No. 1, 187--222 (2021; Zbl 1480.65204) Full Text: DOI arXiv
Seeger, Benjamin Homogenization of a stochastically forced Hamilton-Jacobi equation. (English) Zbl 1465.60062 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 4, 1217-1253 (2021). MSC: 60H15 35B27 35F21 PDF BibTeX XML Cite \textit{B. Seeger}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 4, 1217--1253 (2021; Zbl 1465.60062) Full Text: DOI arXiv
Bóna, Andrej; Slawinski, Michael A. Wavefronts and rays as characteristics and asymptotics. 3rd edition. (English) Zbl 1459.35002 Hackensack, NJ: World Scientific (ISBN 978-981-12-2646-5/hbk; 978-981-12-2648-9/ebook). xxiii, 332 p. (2021). MSC: 35-02 35Q74 74B05 35A18 PDF BibTeX XML Cite \textit{A. Bóna} and \textit{M. A. Slawinski}, Wavefronts and rays as characteristics and asymptotics. 3rd edition. Hackensack, NJ: World Scientific (2021; Zbl 1459.35002) Full Text: DOI
Rjasanowa, Kerstin Numerical solution of the eikonal equation for an automatic piping. (English) Zbl 1470.65023 Georgian Math. J. 28, No. 2, 297-303 (2021). MSC: 65D17 68U07 PDF BibTeX XML Cite \textit{K. Rjasanowa}, Georgian Math. J. 28, No. 2, 297--303 (2021; Zbl 1470.65023) Full Text: DOI
Quell, Michael; Diamantopoulos, Georgios; Hössinger, Andreas; Weinbub, Josef Shared-memory block-based fast marching method for hierarchical meshes. (English) Zbl 1468.65177 J. Comput. Appl. Math. 392, Article ID 113488, 15 p. (2021). MSC: 65N06 65Y05 35Q99 PDF BibTeX XML Cite \textit{M. Quell} et al., J. Comput. Appl. Math. 392, Article ID 113488, 15 p. (2021; Zbl 1468.65177) Full Text: DOI
Qiao, Baoping; Pan, Ziqiang; Huang, Weichuan; Cao, Chengyin An adaptive finite-difference method for accurate simulation of first-arrival traveltimes in heterogeneous media. (English) Zbl 1508.86002 Appl. Math. Comput. 394, Article ID 125792, 12 p. (2021). MSC: 86-08 65N06 86A15 PDF BibTeX XML Cite \textit{B. Qiao} et al., Appl. Math. Comput. 394, Article ID 125792, 12 p. (2021; Zbl 1508.86002) Full Text: DOI
Lin, Hsin-Yi; Fagan, William F.; Jabin, Pierre-Emmanuel Memory-driven movement model for periodic migrations. (English) Zbl 1457.92199 J. Theor. Biol. 508, Article ID 110486, 8 p. (2021). MSC: 92D50 35Q92 35R60 PDF BibTeX XML Cite \textit{H.-Y. Lin} et al., J. Theor. Biol. 508, Article ID 110486, 8 p. (2021; Zbl 1457.92199) Full Text: DOI
Zonca, Lou; Holcman, David Modeling bursting in neuronal networks using facilitation-depression and afterhyperpolarization. (English) Zbl 1458.92010 Commun. Nonlinear Sci. Numer. Simul. 94, Article ID 105555, 27 p. (2021). Reviewer: Andreas Wichert (Lisboa) MSC: 92B20 PDF BibTeX XML Cite \textit{L. Zonca} and \textit{D. Holcman}, Commun. Nonlinear Sci. Numer. Simul. 94, Article ID 105555, 27 p. (2021; Zbl 1458.92010) Full Text: DOI arXiv
Divakov, Dmitriy V.; Tiutiunnik, Anastasiia A.; Sevastianov, Anton L. Symbolic-numeric study of geometric properties of adiabatic waveguide modes. (English) Zbl 07635832 Boulier, François (ed.) et al., Computer algebra in scientific computing. 22nd international workshop, CASC 2020, Linz, Austria, September 14–18, 2020. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12291, 228-244 (2020). MSC: 68W30 PDF BibTeX XML Cite \textit{D. V. Divakov} et al., Lect. Notes Comput. Sci. 12291, 228--244 (2020; Zbl 07635832) Full Text: DOI
Tsai, Je-Chiang; Zhang, Zhengyang Curvature effect on asymptotic profiles of spiral curves. (English) Zbl 1484.35041 Physica D 413, Article ID 132657, 11 p. (2020). MSC: 35B36 34B15 53A04 PDF BibTeX XML Cite \textit{J.-C. Tsai} and \textit{Z. Zhang}, Physica D 413, Article ID 132657, 11 p. (2020; Zbl 1484.35041) Full Text: DOI
Chang, Kaiwen; Figliuzzi, Bruno Fast marching based superpixels. (English) Zbl 1469.68154 Math. Morphol., Theory Appl. 4, 127-142 (2020). MSC: 68U10 PDF BibTeX XML Cite \textit{K. Chang} and \textit{B. Figliuzzi}, Math. Morphol., Theory Appl. 4, 127--142 (2020; Zbl 1469.68154) Full Text: DOI
Fischer, Michael; Jankowiak, Gaspard; Wolfram, Marie-Therese Micro- and macroscopic modeling of crowding and pushing in corridors. (English) Zbl 1455.91175 Netw. Heterog. Media 15, No. 3, 405-426 (2020). MSC: 91C99 76A30 68Q80 35Q84 PDF BibTeX XML Cite \textit{M. Fischer} et al., Netw. Heterog. Media 15, No. 3, 405--426 (2020; Zbl 1455.91175) Full Text: DOI arXiv
Baev, A. V. On the solution of an inverse problem for equations of shallow water in a pool with variable depth. (Russian. English summary) Zbl 1454.76017 Mat. Model. 32, No. 11, 3-15 (2020). MSC: 76B15 76M21 PDF BibTeX XML Cite \textit{A. V. Baev}, Mat. Model. 32, No. 11, 3--15 (2020; Zbl 1454.76017) Full Text: DOI MNR
Huang, Guangnan; Luo, Songting Hybrid fast sweeping methods for anisotropic eikonal equation in two-dimensional tilted transversely isotropic media. (English) Zbl 1450.65122 J. Sci. Comput. 84, No. 2, Paper No. 32, 30 p. (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65N06 65N12 74L05 74J99 74B10 86A15 86-08 PDF BibTeX XML Cite \textit{G. Huang} and \textit{S. Luo}, J. Sci. Comput. 84, No. 2, Paper No. 32, 30 p. (2020; Zbl 1450.65122) Full Text: DOI
Li, Wenbin; Qian, Jianliang Newton-type Gauss-Seidel Lax-Friedrichs high-order fast sweeping methods for solving generalized eikonal equations at large-scale discretization. (English) Zbl 1443.65284 Comput. Math. Appl. 79, No. 4, 1222-1239 (2020). MSC: 65N06 35F21 35F30 PDF BibTeX XML Cite \textit{W. Li} and \textit{J. Qian}, Comput. Math. Appl. 79, No. 4, 1222--1239 (2020; Zbl 1443.65284) Full Text: DOI
Cimdiker, Muradiye; Ekici, Cumali On the construction of pseudo-Finsler eikonal equations. (English) Zbl 1448.53025 Honam Math. J. 42, No. 1, 75-91 (2020). MSC: 53B40 53B30 78A05 PDF BibTeX XML Cite \textit{M. Cimdiker} and \textit{C. Ekici}, Honam Math. J. 42, No. 1, 75--91 (2020; Zbl 1448.53025) Full Text: DOI
Tsar’kov, I. G. Some applications of geometric theory of approximations. (English. Russian original) Zbl 1477.41015 J. Math. Sci., New York 245, No. 1, 64-82 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 143, 63-80 (2017). Reviewer: Sergei S. Platonov (Petrozavodsk) MSC: 41A65 54C65 78A05 PDF BibTeX XML Cite \textit{I. G. Tsar'kov}, J. Math. Sci., New York 245, No. 1, 64--82 (2020; Zbl 1477.41015); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 143, 63--80 (2017) Full Text: DOI
Luk, Jonathan; Speck, Jared The hidden null structure of the compressible Euler equations and a prelude to applications. (English) Zbl 1441.35190 J. Hyperbolic Differ. Equ. 17, No. 1, 1-60 (2020). MSC: 35Q31 35L05 35L10 35L15 35L67 35L72 76N10 PDF BibTeX XML Cite \textit{J. Luk} and \textit{J. Speck}, J. Hyperbolic Differ. Equ. 17, No. 1, 1--60 (2020; Zbl 1441.35190) Full Text: DOI arXiv
Kim, Seonghak Convex integration with linear constraints and its applications. (English) Zbl 1434.35283 J. Math. Anal. Appl. 487, No. 2, Article ID 124028, 29 p. (2020). MSC: 35R70 35F25 49J10 PDF BibTeX XML Cite \textit{S. Kim}, J. Math. Anal. Appl. 487, No. 2, Article ID 124028, 29 p. (2020; Zbl 1434.35283) Full Text: DOI arXiv
Megrabov, A. G. Conservation laws and other formulas for families of rays and wavefronts and for the eikonal equation. (Russian. English summary) Zbl 07607930 Sib. Zh. Vychisl. Mat. 22, No. 4, 483-497 (2019). MSC: 35-XX 65-XX PDF BibTeX XML Cite \textit{A. G. Megrabov}, Sib. Zh. Vychisl. Mat. 22, No. 4, 483--497 (2019; Zbl 07607930) Full Text: DOI MNR
Lai, Rongjie; Zhao, Hongkai Solving PDEs on manifolds represented as point clouds and applications. (English) Zbl 1446.35238 Kimmel, Ron (ed.) et al., Processing, analyzing and learning of images, shapes, and forms. Part 2. Amsterdam: Elsevier/North Holland. Handb. Numer. Anal. 20, 315-349 (2019). MSC: 35R01 35Q84 58J99 65D18 65D30 PDF BibTeX XML Cite \textit{R. Lai} and \textit{H. Zhao}, Handb. Numer. Anal. 20, 315--349 (2019; Zbl 1446.35238) Full Text: DOI
Chen, Da; Cohen, Laurent D. From active contours to minimal geodesic paths: new solutions to active contours problems by eikonal equations. (English) Zbl 1446.94005 Kimmel, Ron (ed.) et al., Processing, analyzing and learning of images, shapes, and forms. Part 2. Amsterdam: Elsevier/North Holland. Handb. Numer. Anal. 20, 233-271 (2019). MSC: 94A08 62H35 PDF BibTeX XML Cite \textit{D. Chen} and \textit{L. D. Cohen}, Handb. Numer. Anal. 20, 233--271 (2019; Zbl 1446.94005) Full Text: DOI arXiv
Belyaev, Alexander G.; Fayolle, Pierre-Alain A variational method for accurate distance function estimation. (English) Zbl 1442.35117 Garanzha, Vladimir A. (ed.) et al., Numerical geometry, grid generation and scientific computing. Proceedings of the 9th international conference, NUMGRID 2018 / Voronoi 150, celebrating the 150th anniversary of G.F. Voronoi, Moscow, Russia, December 3–5, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 131, 175-181 (2019). MSC: 35J60 35J25 PDF BibTeX XML Cite \textit{A. G. Belyaev} and \textit{P.-A. Fayolle}, Lect. Notes Comput. Sci. Eng. 131, 175--181 (2019; Zbl 1442.35117) Full Text: DOI
Chang, Kaiwen; Figliuzzi, Bruno Fast marching based superpixels generation. (English) Zbl 1445.68283 Burgeth, Bernhard (ed.) et al., Mathematical morphology and its applications to signal and image processing. 14th international symposium, ISMM 2019, Saarbrücken, Germany, July 8–10, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11564, 350-361 (2019). MSC: 68U10 PDF BibTeX XML Cite \textit{K. Chang} and \textit{B. Figliuzzi}, Lect. Notes Comput. Sci. 11564, 350--361 (2019; Zbl 1445.68283) Full Text: DOI
Martin, Lindsay; Tsai, Yen-Hsi R. Erratum to: “A multiscale domain decomposition algorithm for boundary value problems for eikonal equations”. (English) Zbl 1435.65227 Multiscale Model. Simul. 17, No. 4, 1301-1302 (2019). MSC: 65N55 65N22 65N12 35F30 65Y05 PDF BibTeX XML Cite \textit{L. Martin} and \textit{Y.-H. R. Tsai}, Multiscale Model. Simul. 17, No. 4, 1301--1302 (2019; Zbl 1435.65227) Full Text: DOI
Alimov, A. R. Singularities of solutions of the eikonal equation. (English. Russian original) Zbl 1439.35498 Differ. Equ. 55, No. 10, 1311-1316 (2019); translation from Differ. Uravn. 55, No. 10, 1354-1359 (2019). MSC: 35Q99 35L65 PDF BibTeX XML Cite \textit{A. R. Alimov}, Differ. Equ. 55, No. 10, 1311--1316 (2019; Zbl 1439.35498); translation from Differ. Uravn. 55, No. 10, 1354--1359 (2019) Full Text: DOI
Potter, Samuel F.; Cameron, Maria K. Ordered line integral methods for solving the eikonal equation. (English) Zbl 1434.65307 J. Sci. Comput. 81, No. 3, 2010-2050 (2019). MSC: 65N99 65Y20 65K10 65N12 65D32 49L20 49L25 35L70 76Q05 PDF BibTeX XML Cite \textit{S. F. Potter} and \textit{M. K. Cameron}, J. Sci. Comput. 81, No. 3, 2010--2050 (2019; Zbl 1434.65307) Full Text: DOI arXiv
Caboussat, Alexandre; Glowinski, Roland; Gourzoulidis, Dimitrios; Picasso, Marco Numerical approximation of orthogonal maps. (English) Zbl 1435.65195 SIAM J. Sci. Comput. 41, No. 6, B1341-B1367 (2019). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 65K10 65D18 65N20 49M20 35F30 PDF BibTeX XML Cite \textit{A. Caboussat} et al., SIAM J. Sci. Comput. 41, No. 6, B1341--B1367 (2019; Zbl 1435.65195) Full Text: DOI
Tsar’kov, Igor’ G. Smooth solutions of the eikonal equation and the behaviour of local minima of the distance function. (English. Russian original) Zbl 1429.41034 Izv. Math. 83, No. 6, 1234-1258 (2019); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 6, 167-194 (2019). MSC: 41A65 54C60 78A05 PDF BibTeX XML Cite \textit{I. G. Tsar'kov}, Izv. Math. 83, No. 6, 1234--1258 (2019; Zbl 1429.41034); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 6, 167--194 (2019) Full Text: DOI
Yegorchenko, I. A. Solutions of the system of coupled eikonal equations. (Ukrainian. English summary) Zbl 1438.35104 Zb. Pr. Inst. Mat. NAN Ukr. 16, No. 1, 66-77 (2019). Reviewer: M. O. Nesterenko (Kyïv) MSC: 35F21 35C99 PDF BibTeX XML Cite \textit{I. A. Yegorchenko}, Zb. Pr. Inst. Mat. NAN Ukr. 16, No. 1, 66--77 (2019; Zbl 1438.35104)
Mazanti, Guilherme; Santambrogio, Filippo Minimal-time mean field games. (English) Zbl 1428.91006 Math. Models Methods Appl. Sci. 29, No. 8, 1413-1464 (2019). MSC: 91A23 91A15 91A43 49N70 35Q91 PDF BibTeX XML Cite \textit{G. Mazanti} and \textit{F. Santambrogio}, Math. Models Methods Appl. Sci. 29, No. 8, 1413--1464 (2019; Zbl 1428.91006) Full Text: DOI arXiv
Mirebeau, Jean-Marie Riemannian fast-marching on cartesian grids, using Voronoi’s first reduction of quadratic forms. (English) Zbl 1447.65114 SIAM J. Numer. Anal. 57, No. 6, 2608-2655 (2019). MSC: 65N06 65N12 49L20 49L25 35F30 49J20 PDF BibTeX XML Cite \textit{J.-M. Mirebeau}, SIAM J. Numer. Anal. 57, No. 6, 2608--2655 (2019; Zbl 1447.65114) Full Text: DOI
Yang, Jianming An easily implemented, block-based fast marching method with superior sequential and parallel performance. (English) Zbl 1432.65078 SIAM J. Sci. Comput. 41, No. 5, C446-C478 (2019). MSC: 65K05 35F30 35L60 65N06 65N22 65N55 65Y05 PDF BibTeX XML Cite \textit{J. Yang}, SIAM J. Sci. Comput. 41, No. 5, C446--C478 (2019; Zbl 1432.65078) Full Text: DOI arXiv
Kamissoko, Dantouma An application of the differential geometry in physics. (English) Zbl 1426.53080 Far East J. Math. Sci. (FJMS) 110, No. 2, 405-418 (2019). MSC: 53C43 PDF BibTeX XML Cite \textit{D. Kamissoko}, Far East J. Math. Sci. (FJMS) 110, No. 2, 405--418 (2019; Zbl 1426.53080) Full Text: DOI
Diamantopoulos, Georgios; Hössinger, Andreas; Selberherr, Siegfried; Weinbub, Josef A shared memory parallel multi-mesh fast marching method for re-distancing. (English) Zbl 07116001 Adv. Comput. Math. 45, No. 4, 2029-2045 (2019). MSC: 65Y05 65Y10 65Y20 PDF BibTeX XML Cite \textit{G. Diamantopoulos} et al., Adv. Comput. Math. 45, No. 4, 2029--2045 (2019; Zbl 07116001) Full Text: DOI
Churbanov, Alexander G.; Vabishchevich, Petr N. Numerical solving a boundary value problem for the eikonal equation. (English) Zbl 1434.65245 Dimov, Ivan (ed.) et al., Finite difference methods. Theory and applications. 7th international conference, FDM 2018, Lozenetz, Bulgaria, June 11–16, 2018. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11386, 28-34 (2019). MSC: 65N30 PDF BibTeX XML Cite \textit{A. G. Churbanov} and \textit{P. N. Vabishchevich}, Lect. Notes Comput. Sci. 11386, 28--34 (2019; Zbl 1434.65245) Full Text: DOI
Speck, Jared Multidimensional nonlinear geometric optics for transport operators with applications to stable shock formation. (English) Zbl 1426.35159 Pure Appl. Anal. 1, No. 3, 447-514 (2019). MSC: 35L67 35L45 35B44 35L60 PDF BibTeX XML Cite \textit{J. Speck}, Pure Appl. Anal. 1, No. 3, 447--514 (2019; Zbl 1426.35159) Full Text: DOI arXiv
Dunbar, Oliver R. A.; Elliott, Charles M. Binary recovery via phase field regularization for first-arrival traveltime tomography. (English) Zbl 1431.65153 Inverse Probl. 35, No. 9, Article ID 095004, 32 p. (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65M32 65M30 65M60 65M06 65K10 65M12 65J20 35F21 35D40 86A15 PDF BibTeX XML Cite \textit{O. R. A. Dunbar} and \textit{C. M. Elliott}, Inverse Probl. 35, No. 9, Article ID 095004, 32 p. (2019; Zbl 1431.65153) Full Text: DOI arXiv Link
Martin, Lindsay; Tsai, Yen-Hsi R. A multiscale domain decomposition algorithm for boundary value problems for eikonal equations. (English) Zbl 1426.65198 Multiscale Model. Simul. 17, No. 2, 620-649 (2019); erratum ibid. 17, No. 4, 1301-1302 (2019). MSC: 65N55 65N22 65N12 35F30 65Y05 PDF BibTeX XML Cite \textit{L. Martin} and \textit{Y.-H. R. Tsai}, Multiscale Model. Simul. 17, No. 2, 620--649 (2019; Zbl 1426.65198) Full Text: DOI arXiv
Deville, Robert; Mudarra, Carlos Approximation of Lipschitz functions preserving boundary values. (English) Zbl 1429.26004 J. Optim. Theory Appl. 182, No. 3, 885-905 (2019). Reviewer: Bogdan Szal (Zielona Gora) MSC: 26A16 26B05 41A29 41A30 41A65 54C30 58C25 PDF BibTeX XML Cite \textit{R. Deville} and \textit{C. Mudarra}, J. Optim. Theory Appl. 182, No. 3, 885--905 (2019; Zbl 1429.26004) Full Text: DOI arXiv
Assainova, O.; Klein, C.; McLaughlin, K. D. T.-R.; Miller, P. D. A study of the direct spectral transform for the defocusing Davey-Stewartson II equation the semiclassical limit. (English) Zbl 1420.35339 Commun. Pure Appl. Math. 72, No. 7, 1474-1547 (2019). MSC: 35Q55 37K15 35Q41 35C05 65T50 35B40 35B25 PDF BibTeX XML Cite \textit{O. Assainova} et al., Commun. Pure Appl. Math. 72, No. 7, 1474--1547 (2019; Zbl 1420.35339) Full Text: DOI arXiv
Jacobs, Matthew; Luo, Songting Asymptotic solutions for high frequency Helmholtz equations in anisotropic media with Hankel functions. (English) Zbl 1418.65155 J. Sci. Comput. 80, No. 2, 808-833 (2019). MSC: 65N06 41A60 PDF BibTeX XML Cite \textit{M. Jacobs} and \textit{S. Luo}, J. Sci. Comput. 80, No. 2, 808--833 (2019; Zbl 1418.65155) Full Text: DOI
Churbanov, Alexander G.; Vabishchevich, Petr N. Numerical solution of boundary value problems for the eikonal equation in an anisotropic medium. (English) Zbl 1421.35101 J. Comput. Appl. Math. 362, 55-67 (2019). MSC: 35J60 65N30 PDF BibTeX XML Cite \textit{A. G. Churbanov} and \textit{P. N. Vabishchevich}, J. Comput. Appl. Math. 362, 55--67 (2019; Zbl 1421.35101) Full Text: DOI arXiv
Figliuzzi, Bruno Eikonal-based models of random tessellations. (English) Zbl 1432.52008 Image Anal. Stereol. 38, No. 1, 15-23 (2019). MSC: 52A22 PDF BibTeX XML Cite \textit{B. Figliuzzi}, Image Anal. Stereol. 38, No. 1, 15--23 (2019; Zbl 1432.52008) Full Text: DOI
Crasta, Graziano; Fragalà, Ilaria Rigidity results for variational infinity ground states. (English) Zbl 1429.35104 Indiana Univ. Math. J. 68, No. 2, 353-367 (2019). Reviewer: Francesco Rossi (Padova) MSC: 35J92 35D40 PDF BibTeX XML Cite \textit{G. Crasta} and \textit{I. Fragalà}, Indiana Univ. Math. J. 68, No. 2, 353--367 (2019; Zbl 1429.35104) Full Text: DOI arXiv
Bernal, Francisco An implementation of Milstein’s method for general bounded diffusions. (English) Zbl 1417.60062 J. Sci. Comput. 79, No. 2, 867-890 (2019). MSC: 60H35 65C30 65C05 PDF BibTeX XML Cite \textit{F. Bernal}, J. Sci. Comput. 79, No. 2, 867--890 (2019; Zbl 1417.60062) Full Text: DOI arXiv Link
Deshmukh, Sharief; Khan, Viqar Azam Geodesic vector fields and eikonal equation on a Riemannian manifold. (English) Zbl 1416.53033 Indag. Math., New Ser. 30, No. 4, 542-552 (2019). MSC: 53C20 53C25 PDF BibTeX XML Cite \textit{S. Deshmukh} and \textit{V. A. Khan}, Indag. Math., New Ser. 30, No. 4, 542--552 (2019; Zbl 1416.53033) Full Text: DOI
Li, Tian-Hong; Wang, Jinghua; Wen, Hairui Global structure and regularity of solutions to the Eikonal equation. (English) Zbl 1415.35097 Arch. Ration. Mech. Anal. 232, No. 2, 1073-1112 (2019). MSC: 35F25 35A20 35B65 35F21 PDF BibTeX XML Cite \textit{T.-H. Li} et al., Arch. Ration. Mech. Anal. 232, No. 2, 1073--1112 (2019; Zbl 1415.35097) Full Text: DOI arXiv
Treister, Eran; Haber, Eldad A multigrid solver to the Helmholtz equation with a point source based on travel time and amplitude. (English) Zbl 07031720 Numer. Linear Algebra Appl. 26, No. 1, e2206, 19 p. (2019). MSC: 65N55 65N22 PDF BibTeX XML Cite \textit{E. Treister} and \textit{E. Haber}, Numer. Linear Algebra Appl. 26, No. 1, e2206, 19 p. (2019; Zbl 07031720) Full Text: DOI arXiv
Ganellari, Daniel; Haase, Gundolf; Zumbusch, Gerhard A massively parallel eikonal solver on unstructured meshes. (English) Zbl 07704542 Comput. Vis. Sci. 19, No. 5-6, 3-18 (2018). MSC: 65Nxx PDF BibTeX XML Cite \textit{D. Ganellari} et al., Comput. Vis. Sci. 19, No. 5--6, 3--18 (2018; Zbl 07704542) Full Text: DOI
Ghanam, Ryad; Thompson, Gerard Symmetries of the eikonal equation. (English) Zbl 1473.17079 Commun. Nonlinear Sci. Numer. Simul. 60, 137-144 (2018). MSC: 17B80 35A09 35A24 35A30 35F20 PDF BibTeX XML Cite \textit{R. Ghanam} and \textit{G. Thompson}, Commun. Nonlinear Sci. Numer. Simul. 60, 137--144 (2018; Zbl 1473.17079) Full Text: DOI
Mahato, N. K.; Klar, A.; Tiwari, S. Particle methods for multi-group pedestrian flow. (English) Zbl 1480.90092 Appl. Math. Modelling 53, 447-461 (2018). MSC: 90B20 82C22 PDF BibTeX XML Cite \textit{N. K. Mahato} et al., Appl. Math. Modelling 53, 447--461 (2018; Zbl 1480.90092) Full Text: DOI arXiv
Wang, Guohui; Chu, Yuanbo A new Oren-Nayar shape-from-shading approach for 3D reconstruction using high-order Godunov-based scheme. (English) Zbl 1461.68236 Algorithms (Basel) 11, No. 5, Paper No. 75, 13 p. (2018). MSC: 68T45 65N06 PDF BibTeX XML Cite \textit{G. Wang} and \textit{Y. Chu}, Algorithms (Basel) 11, No. 5, Paper No. 75, 13 p. (2018; Zbl 1461.68236) Full Text: DOI
Dumett, Miguel A.; Ospino, Jorge E. Mimetic discretization of the eikonal equation with Soner boundary conditions. (English) Zbl 1427.65158 Appl. Math. Comput. 335, 25-37 (2018). MSC: 65M06 65M25 86A15 PDF BibTeX XML Cite \textit{M. A. Dumett} and \textit{J. E. Ospino}, Appl. Math. Comput. 335, 25--37 (2018; Zbl 1427.65158) Full Text: DOI
Osetrin, K. E.; Filippov, A. E.; Osetrin, E. K. Models of generalized scalar-tensor gravitation theories with radiation allowing the separation of variables in the eikonal equation. (English. Russian original) Zbl 1418.83047 Russ. Phys. J. 61, No. 8, 1383-1391 (2018); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 61, No. 8, 17-23 (2018). MSC: 83D05 83C20 PDF BibTeX XML Cite \textit{K. E. Osetrin} et al., Russ. Phys. J. 61, No. 8, 1383--1391 (2018; Zbl 1418.83047); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 61, No. 8, 17--23 (2018) Full Text: DOI
Gomes, Diogo A.; Saúde, João Costeira; Saúde, João Three-dimensional registration and shape reconstruction from depth data without matching: a PDE approach. (English) Zbl 1416.65065 Port. Math. (N.S.) 75, No. 3-4, 285-311 (2018). MSC: 65D18 68U10 94A08 PDF BibTeX XML Cite \textit{D. A. Gomes} et al., Port. Math. (N.S.) 75, No. 3--4, 285--311 (2018; Zbl 1416.65065) Full Text: DOI
Nikitin, Alexandr A.; Serdyukov, Alexandr S.; Duchkov, Anton A. Cache-efficient parallel eikonal solver for multicore CPUs. (English) Zbl 1405.86015 Comput. Geosci. 22, No. 3, 775-787 (2018). MSC: 86A15 65Y05 35Q86 PDF BibTeX XML Cite \textit{A. A. Nikitin} et al., Comput. Geosci. 22, No. 3, 775--787 (2018; Zbl 1405.86015) Full Text: DOI
Moskalenskĭ, E. D. A new class of exact solutions to the two-dimensional eikonal equation where the velocity in the medium depends on one of the spatial coordinates alone. (Russian, English) Zbl 1413.35110 Sib. Zh. Vychisl. Mat. 21, No. 3, 259-271 (2018); translation in Numer. Analysis Appl. 11, No. 3, 208-219 (2018). MSC: 35C05 35F20 PDF BibTeX XML Cite \textit{E. D. Moskalenskĭ}, Sib. Zh. Vychisl. Mat. 21, No. 3, 259--271 (2018; Zbl 1413.35110); translation in Numer. Analysis Appl. 11, No. 3, 208--219 (2018) Full Text: DOI
Aleksandrov, Pavel Nikolaevich; Krizskiĭ, Vladimir Nikolaevich Mathematical modelling of effective elastic parameters. (Russian. English summary) Zbl 1448.65289 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 11, No. 2, 5-13 (2018). MSC: 65Z05 65L10 34A12 PDF BibTeX XML Cite \textit{P. N. Aleksandrov} and \textit{V. N. Krizskiĭ}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 11, No. 2, 5--13 (2018; Zbl 1448.65289) Full Text: DOI MNR
Uspenskii, Aleksandr Aleksandrovich; Lebedev, Pavel Dmitrievich Identification of the singularity of the generalized solution of the Dirichlet problem for an eikonal type equation under the conditions of minimal smoothness of a boundary set. (Russian. English summary) Zbl 1402.35011 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 28, No. 1, 59-73 (2018). MSC: 35A18 35F30 PDF BibTeX XML Cite \textit{A. A. Uspenskii} and \textit{P. D. Lebedev}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 28, No. 1, 59--73 (2018; Zbl 1402.35011) Full Text: DOI MNR
Chen, Da; Cohen, Laurent D. Fast asymmetric fronts propagation for image segmentation. (English) Zbl 1437.94013 J. Math. Imaging Vis. 60, No. 6, 766-783 (2018). MSC: 94A08 PDF BibTeX XML Cite \textit{D. Chen} and \textit{L. D. Cohen}, J. Math. Imaging Vis. 60, No. 6, 766--783 (2018; Zbl 1437.94013) Full Text: DOI arXiv
Szeftel, Jérémie Parametrix for wave equations on a rough background. III: Space-time regularity of the phase. (English) Zbl 1444.35010 Astérisque 401. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-882-4/pbk). viii, 322 p. (2018). MSC: 35-02 35Q76 58J45 35A17 35B65 35L72 83C05 PDF BibTeX XML Cite \textit{J. Szeftel}, Parametrix for wave equations on a rough background. III: Space-time regularity of the phase. Paris: Société Mathématique de France (SMF) (2018; Zbl 1444.35010) Full Text: arXiv
Royston, Michael; Pradhana, Andre; Lee, Byungjoon; Chow, Yat Tin; Yin, Wotao; Teran, Joseph; Osher, Stanley Parallel redistancing using the Hopf-Lax formula. (English) Zbl 1395.65118 J. Comput. Phys. 365, 7-17 (2018). MSC: 65M99 65K10 65Y05 PDF BibTeX XML Cite \textit{M. Royston} et al., J. Comput. Phys. 365, 7--17 (2018; Zbl 1395.65118) Full Text: DOI Link