Wei, Yuxiao; Cheng, Jin; Burridge, Robert; Qian, Jianliang Hadamard integrator for time-dependent wave equations: Lagrangian formulation via ray tracing. (English) Zbl 07811323 J. Comput. Phys. 497, Article ID 112637, 36 p. (2024). MSC: 65Nxx 65Mxx 78Axx PDFBibTeX XMLCite \textit{Y. Wei} et al., J. Comput. Phys. 497, Article ID 112637, 36 p. (2024; Zbl 07811323) Full Text: DOI arXiv
Francisco, Alex Paulo Geometric deformations of curves in the Minkowski plane. (English) Zbl 07787885 Tôhoku Math. J. (2) 75, No. 3, 365-394 (2023). MSC: 53B30 58K60 53A35 PDFBibTeX XMLCite \textit{A. P. Francisco}, Tôhoku Math. J. (2) 75, No. 3, 365--394 (2023; Zbl 07787885) Full Text: DOI arXiv
Chen, Rijian; Gong, Ning; Liu, Yefeng; Ren, Zhijun Efficient generation of customized caustics: nondiffracting deltoid and pentagram beams. (English) Zbl 07771957 Ann. Phys., Berlin 535, No. 7, Article ID 2300002, 7 p. (2023). MSC: 81-XX PDFBibTeX XMLCite \textit{R. Chen} et al., Ann. Phys., Berlin 535, No. 7, Article ID 2300002, 7 p. (2023; Zbl 07771957) Full Text: DOI
Lafitte, Olivier; Runborg, Olof Error estimates for Gaussian beams at a fold caustic. (English) Zbl 1528.35178 Asymptotic Anal. 135, No. 1-2, 209-255 (2023). MSC: 35Q60 35J05 33C10 78A40 78A05 78M35 65L05 65L70 PDFBibTeX XMLCite \textit{O. Lafitte} and \textit{O. Runborg}, Asymptotic Anal. 135, No. 1--2, 209--255 (2023; Zbl 1528.35178) Full Text: DOI arXiv
Liu, Huizhen; Yang, Liyun; Yang, Enguang; Yang, Renshu Dynamic propagation behaviors of pure mode I crack under stress wave loading by caustics. (English) Zbl 07715036 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 4, 1389-1402 (2023). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{H. Liu} et al., Int. J. Nonlinear Sci. Numer. Simul. 24, No. 4, 1389--1402 (2023; Zbl 07715036) Full Text: DOI
Dragović, Vladimir; Radnović, Milena Billiards within ellipsoids in the 4-dimensional pseudo-Euclidean spaces. (English) Zbl 1522.37042 Regul. Chaotic Dyn. 28, No. 1, 14-43 (2023). MSC: 37C83 37J35 37C27 37C55 14H70 41A10 PDFBibTeX XMLCite \textit{V. Dragović} and \textit{M. Radnović}, Regul. Chaotic Dyn. 28, No. 1, 14--43 (2023; Zbl 1522.37042) 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 1524.65193 Multiscale Model. Simul. 21, No. 1, 269-308 (2023). MSC: 65F50 35J05 65R10 65R20 PDFBibTeX XMLCite \textit{Y. Liu} et al., Multiscale Model. Simul. 21, No. 1, 269--308 (2023; Zbl 1524.65193) Full Text: DOI arXiv
Dragović, Vladimir; Radnović, Milena Resonance of ellipsoidal billiard trajectories and extremal rational functions. (English) Zbl 1512.14019 Adv. Math. 424, Article ID 109044, 51 p. (2023). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H70 41A10 70H06 37J35 26C05 PDFBibTeX XMLCite \textit{V. Dragović} and \textit{M. Radnović}, Adv. Math. 424, Article ID 109044, 51 p. (2023; Zbl 1512.14019) 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 PDFBibTeX XMLCite \textit{S. Grubas} et al., J. Comput. Phys. 474, Article ID 111789, 14 p. (2023; Zbl 07640546) Full Text: DOI arXiv
Sète, Olivier; Zur, Jan The transport of images method: computing all zeros of harmonic mappings by continuation. (English) Zbl 1516.65035 IMA J. Numer. Anal. 42, No. 3, 2403-2428 (2022). MSC: 65H05 PDFBibTeX XMLCite \textit{O. Sète} and \textit{J. Zur}, IMA J. Numer. Anal. 42, No. 3, 2403--2428 (2022; Zbl 1516.65035) Full Text: DOI arXiv
Tsar’kov, I. G. Geometry of the singular set of hypersurfaces and the eikonal equation. (English) Zbl 1507.35080 Russ. J. Math. Phys. 29, No. 2, 240-248 (2022). MSC: 35F20 35A21 PDFBibTeX XMLCite \textit{I. G. Tsar'kov}, Russ. J. Math. Phys. 29, No. 2, 240--248 (2022; Zbl 1507.35080) Full Text: DOI
Berry, M. V. Inflection reflection: images in mirrors whose curvature changes sign. (English) Zbl 1515.78003 Eur. J. Phys. 42, No. 6, Article ID 065301, 12 p. (2021). MSC: 78A05 PDFBibTeX XMLCite \textit{M. V. Berry}, Eur. J. Phys. 42, No. 6, Article ID 065301, 12 p. (2021; Zbl 1515.78003) Full Text: DOI
Sedykh, Vyacheslav D. On Lagrangian and Legendrian singularities. (English) Zbl 1484.57027 Arnold Math. J. 7, No. 2, 195-212 (2021). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 57R45 53D35 53D12 58K05 58K15 57-02 58-02 PDFBibTeX XMLCite \textit{V. D. Sedykh}, Arnold Math. J. 7, No. 2, 195--212 (2021; Zbl 1484.57027) Full Text: DOI
Fierobe, Corentin Complex caustics of the elliptic billiard. (English) Zbl 1485.37023 Arnold Math. J. 7, No. 1, 1-30 (2021). MSC: 37C83 37D40 PDFBibTeX XMLCite \textit{C. Fierobe}, Arnold Math. J. 7, No. 1, 1--30 (2021; Zbl 1485.37023) Full Text: DOI arXiv
Saji, Kentaro; dos Santos, Samuel Paulino Geometry of bifurcation sets of generic unfoldings of corank two functions. (English) Zbl 1486.53011 Monatsh. Math. 196, No. 3, 553-575 (2021). MSC: 53A05 58K05 PDFBibTeX XMLCite \textit{K. Saji} and \textit{S. P. dos Santos}, Monatsh. Math. 196, No. 3, 553--575 (2021; Zbl 1486.53011) Full Text: DOI arXiv
Sète, Olivier; Zur, Jan Number and location of pre-images under harmonic mappings in the plane. (English) Zbl 1475.31004 Ann. Fenn. Math. 46, No. 1, 225-247 (2021). MSC: 31A05 55M25 PDFBibTeX XMLCite \textit{O. Sète} and \textit{J. Zur}, Ann. Fenn. Math. 46, No. 1, 225--247 (2021; Zbl 1475.31004) Full Text: DOI arXiv
Nakajima, Naomichi; Ohmoto, Toru The dually flat structure for singular models. (English) Zbl 1473.53026 Inf. Geom. 4, No. 1, 31-64 (2021). MSC: 53B12 PDFBibTeX XMLCite \textit{N. Nakajima} and \textit{T. Ohmoto}, Inf. Geom. 4, No. 1, 31--64 (2021; Zbl 1473.53026) Full Text: DOI arXiv
Florentin, Dan Itzhak; Ostrover, Yaron; Rosen, Daniel Caustic-free regions for billiards on surfaces of constant curvature. (English) Zbl 1512.37070 J. Geom. Phys. 168, Article ID 104305, 14 p. (2021). MSC: 37J39 37C83 PDFBibTeX XMLCite \textit{D. I. Florentin} et al., J. Geom. Phys. 168, Article ID 104305, 14 p. (2021; Zbl 1512.37070) Full Text: DOI arXiv
Roop, Mikhail Singularities in one-dimensional Euler flows. (English) Zbl 1470.35271 J. Geom. Phys. 166, Article ID 104272, 11 p. (2021). MSC: 35Q31 76N10 76N15 76L05 35L67 35A01 PDFBibTeX XMLCite \textit{M. Roop}, J. Geom. Phys. 166, Article ID 104272, 11 p. (2021; Zbl 1470.35271) Full Text: DOI arXiv
Ramacher, Pablo Addendum to “The equivariant spectral function of an invariant elliptic operator. \(L^p\)-bounds, caustics, and concentration of eigenfunctions”. (English. French summary) Zbl 1468.58007 J. Math. Pures Appl. (9) 150, 241-257 (2021). MSC: 58J40 58J50 35P20 35S05 PDFBibTeX XMLCite \textit{P. Ramacher}, J. Math. Pures Appl. (9) 150, 241--257 (2021; Zbl 1468.58007) Full Text: DOI arXiv
Stock, Dennis The Hawking energy on the past lightcone in cosmology. (English) Zbl 1479.83303 Classical Quantum Gravity 37, No. 21, Article ID 215005, 19 p. (2020). MSC: 83F05 83C40 35A18 PDFBibTeX XMLCite \textit{D. Stock}, Classical Quantum Gravity 37, No. 21, Article ID 215005, 19 p. (2020; Zbl 1479.83303) Full Text: DOI arXiv
Zannotti, Alessandro Caustic light in nonlinear photonic media. (English) Zbl 1478.78002 Springer Theses. Cham: Springer; Münster: Univ. Münster (Diss.) (ISBN 978-3-030-53087-7/hbk; 978-3-030-53090-7/pbk; 978-3-030-53088-4/ebook). xiii, 180 p. (2020). MSC: 78-02 78A60 35C08 76B25 PDFBibTeX XMLCite \textit{A. Zannotti}, Caustic light in nonlinear photonic media. Cham: Springer; Münster: Univ. Münster (Diss.) (2020; Zbl 1478.78002) Full Text: DOI
Zheng, Chunxiong; Hu, Jiashun Extended WKB analysis for the linear vectorial wave equation in the high-frequency regime. (English) Zbl 1457.81049 Commun. Math. Sci. 18, No. 3, 687-706 (2020). MSC: 81Q20 34E20 35C20 35Q41 35S10 PDFBibTeX XMLCite \textit{C. Zheng} and \textit{J. Hu}, Commun. Math. Sci. 18, No. 3, 687--706 (2020; Zbl 1457.81049) Full Text: DOI
Gonzalez Montoya, Francisco; Borondo, Florentino; Jung, Christof Atom scattering off a vibrating surface: an example of chaotic scattering with three degrees of freedom. (English) Zbl 1453.37078 Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105282, 16 p. (2020). MSC: 37N15 81V45 PDFBibTeX XMLCite \textit{F. Gonzalez Montoya} et al., Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105282, 16 p. (2020; Zbl 1453.37078) Full Text: DOI arXiv
Glutsyuk, Alexey On commuting billiards in higher-dimensional spaces of constant curvature. (English) Zbl 1472.37031 Pac. J. Math. 305, No. 2, 577-595 (2020). MSC: 37C83 52A10 51N10 PDFBibTeX XMLCite \textit{A. Glutsyuk}, Pac. J. Math. 305, No. 2, 577--595 (2020; Zbl 1472.37031) Full Text: DOI arXiv
Bialy, Misha; Mironov, Andrey E.; Tabachnikov, Serge Wire billiards, the first steps. (English) Zbl 1477.37035 Adv. Math. 368, Article ID 107154, 26 p. (2020). MSC: 37C83 37J35 37J40 37D40 PDFBibTeX XMLCite \textit{M. Bialy} et al., Adv. Math. 368, Article ID 107154, 26 p. (2020; Zbl 1477.37035) Full Text: DOI arXiv
Al Balushi, Abdulrahim; Mann, Robert B. Null hypersurfaces in Kerr-(A)dS spacetimes. (English) Zbl 1478.83192 Classical Quantum Gravity 36, No. 24, Article ID 245017, 13 p. (2019). MSC: 83D05 83C57 70E05 53C12 83C15 52A20 83C27 PDFBibTeX XMLCite \textit{A. Al Balushi} and \textit{R. B. Mann}, Classical Quantum Gravity 36, No. 24, Article ID 245017, 13 p. (2019; Zbl 1478.83192) Full Text: DOI arXiv
Huang, Guan; Kaloshin, Vadim On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables. (English) Zbl 1460.37054 Mosc. Math. J. 19, No. 2, 307-327 (2019). MSC: 37J35 37C83 PDFBibTeX XMLCite \textit{G. Huang} and \textit{V. Kaloshin}, Mosc. Math. J. 19, No. 2, 307--327 (2019; Zbl 1460.37054) Full Text: arXiv Link
Dragović, Vladimir; Radnović, Milena Caustics of Poncelet polygons and classical extremal polynomials. (English) Zbl 1432.37055 Regul. Chaotic Dyn. 24, No. 1, 1-35 (2019). MSC: 37C83 14H70 26C05 41A10 70H06 PDFBibTeX XMLCite \textit{V. Dragović} and \textit{M. Radnović}, Regul. Chaotic Dyn. 24, No. 1, 1--35 (2019; Zbl 1432.37055) Full Text: DOI arXiv
Kling, Thomas P.; Grotzke, Eric; Roebuck, Kevin; Waite, Harry Examining the Kerr metric through wave fronts of null geodesics. (English) Zbl 1414.83034 Gen. Relativ. Gravitation 51, No. 2, Paper No. 32, 24 p. (2019). MSC: 83C57 53Z05 83C10 85A04 83C75 PDFBibTeX XMLCite \textit{T. P. Kling} et al., Gen. Relativ. Gravitation 51, No. 2, Paper No. 32, 24 p. (2019; Zbl 1414.83034) Full Text: DOI arXiv
Izumiya, Shyuichi The theory of graph-like Legendrian unfoldings: equivalence relations. (English) Zbl 1475.58028 Izumiya, Shyuichi (ed.) et al., Singularities in generic geometry. Proceedings of the 4th workshop on singularities in generic geometry and applications (Valencia IV), Kobe, Japan, June 3–6, 2015 and Kyoto, Japan, June 8–10, 2015. Tokyo: Mathematical Society of Japan (MSJ). Adv. Stud. Pure Math. 78, 107-161 (2018). Reviewer: Tatuana Badokina (Saransk) MSC: 58K05 57R45 58K25 PDFBibTeX XMLCite \textit{S. Izumiya}, Adv. Stud. Pure Math. 78, 107--161 (2018; Zbl 1475.58028)
Kaloshin, Vadim; Sorrentino, Alfonso On the integrability of Birkhoff billiards. (English) Zbl 1407.37085 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2131, Article ID 20170419, 16 p. (2018). MSC: 37J05 37D50 PDFBibTeX XMLCite \textit{V. Kaloshin} and \textit{A. Sorrentino}, Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2131, Article ID 20170419, 16 p. (2018; Zbl 1407.37085) Full Text: DOI
Ramacher, Pablo The equivariant spectral function of an invariant elliptic operator. \(L^p\)-bounds, caustics, and concentration of eigenfunctions. (English. French summary) Zbl 1410.58010 J. Math. Pures Appl. (9) 120, 33-90 (2018). Reviewer: Luigi Rodino (Torino) MSC: 58J40 58J50 35P20 35S05 PDFBibTeX XMLCite \textit{P. Ramacher}, J. Math. Pures Appl. (9) 120, 33--90 (2018; Zbl 1410.58010) Full Text: DOI arXiv
Gneushev, I. A.; Kolesnikova, I. V.; Kostin, D. V.; Sapronov, Tu. I. Deflections of the squeezed beam on the double elastic basis (in the generalized Vlasov-Leontev model). (Russian. English summary) Zbl 1402.74063 Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2018, No. 2, 173-181 (2018). MSC: 74K10 PDFBibTeX XMLCite \textit{I. A. Gneushev} et al., Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2018, No. 2, 173--181 (2018; Zbl 1402.74063)
Hu, Jiashun; Ma, Xiang; Zheng, Chunxiong Global geometrical optics method for vector-valued Schrödinger problems. (English) Zbl 1405.35178 Front. Math. China 13, No. 3, 579-606 (2018). MSC: 35Q41 34E20 35S10 20C35 78A05 PDFBibTeX XMLCite \textit{J. Hu} et al., Front. Math. China 13, No. 3, 579--606 (2018; Zbl 1405.35178) Full Text: DOI
Sedykh, V. D. Topology of singularities of a stable real caustic germ of type \(E_6\). (English. Russian original) Zbl 1432.57059 Izv. Math. 82, No. 3, 596-611 (2018); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 3, 154-169 (2018). MSC: 57R45 53D12 58K15 PDFBibTeX XMLCite \textit{V. D. Sedykh}, Izv. Math. 82, No. 3, 596--611 (2018; Zbl 1432.57059); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 3, 154--169 (2018) Full Text: DOI
Lu, Wangtao; Qian, Jianliang; Burridge, Robert Extending Babich’s ansatz for point-source Maxwell’s equations using Hadamard’s method. (English) Zbl 1448.65242 Multiscale Model. Simul. 16, No. 2, 727-751 (2018). MSC: 65N30 65M60 78A25 35Q61 78M10 PDFBibTeX XMLCite \textit{W. Lu} et al., Multiscale Model. Simul. 16, No. 2, 727--751 (2018; Zbl 1448.65242) Full Text: DOI
Artstein-Avidan, S.; Florentin, D. I.; Ostrover, Y.; Rosen, D. Duality of caustics in Minkowski billiards. (English) Zbl 1387.37034 Nonlinearity 31, No. 4, 1197-1226 (2018). MSC: 37D50 52A10 37E40 53B40 51B20 PDFBibTeX XMLCite \textit{S. Artstein-Avidan} et al., Nonlinearity 31, No. 4, 1197--1226 (2018; Zbl 1387.37034) Full Text: DOI arXiv
Chen, Jingren; Liu, Haiming; Miao, Jiajing Caustics of translation surfaces in Euclidean 3-space. (English) Zbl 1412.32020 J. Nonlinear Sci. Appl. 10, No. 10, 5300-5310 (2017). MSC: 32S25 53A35 PDFBibTeX XMLCite \textit{J. Chen} et al., J. Nonlinear Sci. Appl. 10, No. 10, 5300--5310 (2017; Zbl 1412.32020) Full Text: DOI
Stone, J. T.; Self, R. H.; Howls, C. J. Aeroacoustic catastrophes: upstream cusp beaming in Lilley’s equation. (English) Zbl 1404.76242 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2201, Article ID 20160880, 28 p. (2017). MSC: 76Q05 35Q35 PDFBibTeX XMLCite \textit{J. T. Stone} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2201, Article ID 20160880, 28 p. (2017; Zbl 1404.76242) Full Text: DOI
Popov, M. M. On the calculation of the Morse index and the extension of ray formulas beyond caustics. (English. Russian original) Zbl 1393.78003 J. Math. Sci., New York 224, No. 1, 150-156 (2017); translation from Zap. Nauchn. Semin. POMI 438, 225-235 (2015). MSC: 78A05 37B30 PDFBibTeX XMLCite \textit{M. M. Popov}, J. Math. Sci., New York 224, No. 1, 150--156 (2017; Zbl 1393.78003); translation from Zap. Nauchn. Semin. POMI 438, 225--235 (2015) Full Text: DOI
Ravichandran, S.; Deepu, P.; Govindarajan, Rama Clustering of heavy particles in vortical flows: a selective review. (English) Zbl 1381.76064 Sādhanā 42, No. 4, 597-605 (2017). MSC: 76D17 76T20 76U05 76-02 76Fxx PDFBibTeX XMLCite \textit{S. Ravichandran} et al., Sādhanā 42, No. 4, 597--605 (2017; Zbl 1381.76064) Full Text: DOI Link
Batista, Erica Boizan; Han, Huhe; Nishimura, Takashi Stability of \(C^\infty\) convex integrands. (English) Zbl 1378.58033 Kyushu J. Math. 71, No. 1, 187-196 (2017). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 58K05 58K25 PDFBibTeX XMLCite \textit{E. B. Batista} et al., Kyushu J. Math. 71, No. 1, 187--196 (2017; Zbl 1378.58033) Full Text: DOI arXiv
Reeve, Graham Mark; Tari, Farid Minkowski symmetry sets of plane curves. (English) Zbl 1432.53016 Proc. Edinb. Math. Soc., II. Ser. 60, No. 2, 461-480 (2017). MSC: 53A35 53B30 57R45 PDFBibTeX XMLCite \textit{G. M. Reeve} and \textit{F. Tari}, Proc. Edinb. Math. Soc., II. Ser. 60, No. 2, 461--480 (2017; Zbl 1432.53016) Full Text: DOI
Akhmetzyanov, Atlas V.; Kushner, Alexei G.; Lychagin, Valentin V. Mass and heat transport in the two-phase Buckley-Leverett model. (English) Zbl 1360.80006 J. Geom. Phys. 113, 2-9 (2017). MSC: 80A20 35Q35 35L67 76S05 35B40 76L05 PDFBibTeX XMLCite \textit{A. V. Akhmetzyanov} et al., J. Geom. Phys. 113, 2--9 (2017; Zbl 1360.80006) Full Text: DOI
Izumiya, Shyuichi Caustics of world hyper-sheets in the Minkowski space-time. (English) Zbl 1364.58018 Nabarro, Ana Claudia (ed.) et al., Real and complex singularities. XIII international workshop on real and complex singularities, São Carlos, Brazil, July 27 – August 8, 2014 in honor of María del Carmen Romero Fuster’s 60th birthday. Proceedings. Providence, RI: American Mathematical Society (AMS); Madrid: Real Sociedad Matemática Española (RSME) (ISBN 978-1-4704-2205-9/pbk; 978-1-4704-3558-5/ebook). Contemporary Mathematics 675, 133-151 (2016). MSC: 58K35 53Z05 78A10 78A05 53C26 PDFBibTeX XMLCite \textit{S. Izumiya}, Contemp. Math. 675, 133--151 (2016; Zbl 1364.58018) Full Text: DOI arXiv
Yoshida, Toshiki; Kabata, Yutaro; Ohmoto, Toru Bifurcation of plane-to-plane map-germs with corank two of parabolic type. (English) Zbl 1362.57041 RIMS Kôkyûroku Bessatsu B55, 239-258 (2016). Reviewer: Dorin Andrica (Riyadh) MSC: 57R45 53A05 53A15 PDFBibTeX XMLCite \textit{T. Yoshida} et al., RIMS Kôkyûroku Bessatsu B55, 239--258 (2016; Zbl 1362.57041)
Caday, Peter Computing Fourier integral operators with caustics. (English) Zbl 1358.65084 Inverse Probl. 32, No. 12, Article ID 125001, 33 p. (2016). Reviewer: Manfred Tasche (Rostock) MSC: 65T40 35S30 42B10 44A12 PDFBibTeX XMLCite \textit{P. Caday}, Inverse Probl. 32, No. 12, Article ID 125001, 33 p. (2016; Zbl 1358.65084) Full Text: DOI
Izumiya, Shyuichi Geometric interpretation of Lagrangian equivalence. (English) Zbl 1376.58015 Can. Math. Bull. 59, No. 4, 806-812 (2016). Reviewer: Maria Aparecida Soares Ruas (São Carlos) MSC: 58K05 57R45 58K60 PDFBibTeX XMLCite \textit{S. Izumiya}, Can. Math. Bull. 59, No. 4, 806--812 (2016; Zbl 1376.58015) Full Text: DOI
Lu, Wangtao; Qian, Jianliang; Burridge, Robert Babich’s expansion and the fast Huygens sweeping method for the Helmholtz wave equation at high frequencies. (English) Zbl 1349.65691 J. Comput. Phys. 313, 478-510 (2016). MSC: 65N99 35J25 PDFBibTeX XMLCite \textit{W. Lu} et al., J. Comput. Phys. 313, 478--510 (2016; Zbl 1349.65691) Full Text: DOI
Miao, Jiajing; Liu, Haiming Caustics of de Sitter spacelike curves in Minkowski 3-space. (English) Zbl 1346.53016 J. Nonlinear Sci. Appl. 9, No. 6, 4286-4294 (2016). MSC: 53A35 53B25 53A04 PDFBibTeX XMLCite \textit{J. Miao} and \textit{H. Liu}, J. Nonlinear Sci. Appl. 9, No. 6, 4286--4294 (2016; Zbl 1346.53016) Full Text: DOI Link
Izumiya, Shyuichi; Romero Fuster, Maria del Carmen; Ruas, Maria Aparecida Soares; Tari, Farid Differential geometry from a singularity theory viewpoint. (English) Zbl 1369.53004 Hackensack, NJ: World Scientific (ISBN 978-981-4590-44-0/hbk; 978-981-4590-46-4/ebook). xiii, 368 p. (2016). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 53-02 53A05 53C42 58K05 53A35 PDFBibTeX XMLCite \textit{S. Izumiya} et al., Differential geometry from a singularity theory viewpoint. Hackensack, NJ: World Scientific (2016; Zbl 1369.53004) Full Text: DOI
Eggers, J.; Hoppe, J.; Hynek, M.; Suramlishvili, N. Singularities of relativistic membranes. (English) Zbl 1350.53028 Geom. Flows 1, 17-33 (2015). MSC: 53B30 53B25 53A35 PDFBibTeX XMLCite \textit{J. Eggers} et al., Geom. Flows 1, 17--33 (2015; Zbl 1350.53028) Full Text: DOI Link
Kourkoulis, S. K.; Markides, C. F.; Pasiou, E. D. A combined analytic and experimental study of the displacement field in a circular ring. (English) Zbl 1383.74070 Meccanica 50, No. 2, 493-515 (2015). MSC: 74M15 74A20 74-05 PDFBibTeX XMLCite \textit{S. K. Kourkoulis} et al., Meccanica 50, No. 2, 493--515 (2015; Zbl 1383.74070) Full Text: DOI
Andersson, Fredrik; de Hoop, Maarten V.; Wendt, Herwig Multiscale reverse-time-migration-type imaging using the dyadic parabolic decomposition of phase space. (English) Zbl 1328.65219 SIAM J. Imaging Sci. 8, No. 4, 2383-2411 (2015). MSC: 65M99 35L05 65T40 86A15 PDFBibTeX XMLCite \textit{F. Andersson} et al., SIAM J. Imaging Sci. 8, No. 4, 2383--2411 (2015; Zbl 1328.65219) Full Text: DOI arXiv
Zheng, Chunxiong Global geometrical optics approximation to the high frequency Helmholtz equation with discontinuous media. (English) Zbl 1332.78032 Commun. Math. Sci. 13, No. 8, 1949-1974 (2015). MSC: 78M35 65M25 35J05 35Q60 34E20 35A35 PDFBibTeX XMLCite \textit{C. Zheng}, Commun. Math. Sci. 13, No. 8, 1949--1974 (2015; Zbl 1332.78032) Full Text: DOI
Izumiya, Shyuichi The theory of graph-like Legendrian unfoldings and its applications. (English) Zbl 1314.58022 J. Singul. 12, 53-79 (2015). Reviewer: Dorin Andrica (Riyadh) MSC: 58K05 57R45 32S05 58K25 58K60 PDFBibTeX XMLCite \textit{S. Izumiya}, J. Singul. 12, 53--79 (2015; Zbl 1314.58022) Full Text: DOI arXiv
Zhen, Chunxiong Optimal error estimates for first-order Gaussian beam approximations to the Schrödinger equation. (English) Zbl 1312.81077 SIAM J. Numer. Anal. 52, No. 6, 2905-2930 (2014). MSC: 81Q20 46F12 65M25 78M35 81Q05 PDFBibTeX XMLCite \textit{C. Zhen}, SIAM J. Numer. Anal. 52, No. 6, 2905--2930 (2014; Zbl 1312.81077) Full Text: DOI
Yue, Yonghao; Iwasaki, Kei; Chen, Bing-Yu; Dobashi, Yoshinori; Nishita, Tomoyuki Poisson-based continuous surface generation for goal-based caustics. (English) Zbl 1322.68242 ACM Trans. Graph. 33, No. 3, Paper No. 10, 7 p. (2014). MSC: 68U05 65D17 65D18 PDFBibTeX XMLCite \textit{Y. Yue} et al., ACM Trans. Graph. 33, No. 3, Paper No. 10, 7 p. (2014; Zbl 1322.68242) Full Text: DOI
Cardin, Franco; Gramchev, Todor; Lovison, Alberto Asymptotic analysis of diffraction integrals in Gevrey spaces. (English) Zbl 1296.78003 Acta Appl. Math. 132, No. 1, 177-187 (2014). MSC: 78A05 41A60 58J37 PDFBibTeX XMLCite \textit{F. Cardin} et al., Acta Appl. Math. 132, No. 1, 177--187 (2014; Zbl 1296.78003) Full Text: DOI
Ivanovici, Oana; Lebeau, Gilles; Planchon, Fabrice Dispersion for the wave equation inside strictly convex domains. I: The Friedlander model case. (English) Zbl 1310.35151 Ann. Math. (2) 180, No. 1, 323-380 (2014). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35L20 35L05 35B45 58J45 35A18 PDFBibTeX XMLCite \textit{O. Ivanovici} et al., Ann. Math. (2) 180, No. 1, 323--380 (2014; Zbl 1310.35151) Full Text: DOI arXiv
Giannopoulou, S. K.; Makrakis, G. N. Uniformization of WKB functions by Wigner transform. (English) Zbl 1302.34088 Appl. Anal. 93, No. 3, 624-645 (2014). Reviewer: Vladimir Răsvan (Craiova) MSC: 34E20 34E05 34E13 78A05 81Q20 81S30 PDFBibTeX XMLCite \textit{S. K. Giannopoulou} and \textit{G. N. Makrakis}, Appl. Anal. 93, No. 3, 624--645 (2014; Zbl 1302.34088) Full Text: DOI
Ozorio de Almeida, Alfredo M.; Ingold, Gert-Ludwig Metaplectic sheets and caustic traversals in the Weyl representation. (English) Zbl 1286.81130 J. Phys. A, Math. Theor. 47, No. 10, Article ID 105303, 21 p. (2014). MSC: 81S30 81Q20 53D12 PDFBibTeX XMLCite \textit{A. M. Ozorio de Almeida} and \textit{G.-L. Ingold}, J. Phys. A, Math. Theor. 47, No. 10, Article ID 105303, 21 p. (2014; Zbl 1286.81130) Full Text: DOI arXiv
Arakelov, K. S. Simulation of wave front dynamics and metamorphoses of caustics. (Russian. English summary) Zbl 1356.58009 Mat. Model. 25, No. 2, 19-32 (2013). MSC: 58K60 68U20 PDFBibTeX XMLCite \textit{K. S. Arakelov}, Mat. Model. 25, No. 2, 19--32 (2013; Zbl 1356.58009) Full Text: MNR
Kourkoulis, S. K.; Markides, Ch. F.; Bakalis, G. Smooth elastic contact of cylinders by caustics: the contact length in the Brazilian disc test. (English) Zbl 1291.74143 Arch. Mech. 65, No. 4, 313-338 (2013). MSC: 74M15 74-05 PDFBibTeX XMLCite \textit{S. K. Kourkoulis} et al., Arch. Mech. 65, No. 4, 313--338 (2013; Zbl 1291.74143) Full Text: Link
de Hoop, Maarten V.; Uhlmann, Gunther; Vasy, András; Wendt, Herwig Multiscale discrete approximations of Fourier integral operators associated with canonical transformations and caustics. (English) Zbl 1290.35360 Multiscale Model. Simul. 11, No. 2, 566-585 (2013). MSC: 35S30 65T99 86A15 PDFBibTeX XMLCite \textit{M. V. de Hoop} et al., Multiscale Model. Simul. 11, No. 2, 566--585 (2013; Zbl 1290.35360) Full Text: DOI arXiv
Zheng, Chunxiong Global geometrical optics method. (English) Zbl 1275.35015 Commun. Math. Sci. 11, No. 1, 105-140 (2013). MSC: 35A35 35F10 65M25 78M35 34E20 PDFBibTeX XMLCite \textit{C. Zheng}, Commun. Math. Sci. 11, No. 1, 105--140 (2013; Zbl 1275.35015) Full Text: DOI
Gutkin, Eugene Capillary floating and the billiard ball problem. (English) Zbl 1294.76075 J. Math. Fluid Mech. 14, No. 2, 363-382 (2012). MSC: 76B45 76D45 37N10 PDFBibTeX XMLCite \textit{E. Gutkin}, J. Math. Fluid Mech. 14, No. 2, 363--382 (2012; Zbl 1294.76075) Full Text: DOI arXiv
Hoffmann, T.; Rossman, W.; Sasaki, T.; Yoshida, M. Discrete flat surfaces and linear Weingarten surfaces in hyperbolic 3-space. (English) Zbl 1277.53053 Trans. Am. Math. Soc. 364, No. 11, 5605-5644 (2012). Reviewer: Isabel Salavessa (Lisboa) MSC: 53C42 53A10 53A30 53A35 52C99 52B70 PDFBibTeX XMLCite \textit{T. Hoffmann} et al., Trans. Am. Math. Soc. 364, No. 11, 5605--5644 (2012; Zbl 1277.53053) Full Text: DOI arXiv
Stefanov, Plamen; Uhlmann, Gunther The geodesic X-ray transform with fold caustics. (English) Zbl 1271.53070 Anal. PDE 5, No. 2, 219-260 (2012). Reviewer: Andrew Bucki (Edmond) MSC: 53C65 44A12 58J40 35S99 PDFBibTeX XMLCite \textit{P. Stefanov} and \textit{G. Uhlmann}, Anal. PDE 5, No. 2, 219--260 (2012; Zbl 1271.53070) Full Text: DOI arXiv Link
Arnold, V. I.; Varchenko, A. N.; Givental, A. B.; Khovanskii, A. G. Singularities of functions, wave fronts, caustics and multidimensional integrals. (English) Zbl 1255.58002 Rev. Math. Math. Phys. 14, No. 2, 1-92 (2012). MSC: 58C25 58K99 78A05 01A75 PDFBibTeX XMLCite \textit{V. I. Arnold} et al., Rev. Math. Math. Phys. 14, No. 2, 1--92 (2012; Zbl 1255.58002)
Ivanovici, Oana Counterexamples to the Strichartz inequalities for the wave equation in general domains with boundary. (English) Zbl 1254.35035 J. Eur. Math. Soc. (JEMS) 14, No. 5, 1357-1388 (2012). Reviewer: Jean-Marc Bouclet (Toulouse) MSC: 35B45 35A27 35L20 58J30 58J32 PDFBibTeX XMLCite \textit{O. Ivanovici}, J. Eur. Math. Soc. (JEMS) 14, No. 5, 1357--1388 (2012; Zbl 1254.35035) Full Text: DOI arXiv
Arnold, V. I.; Gusein-Zade, S. M.; Varchenko, A. N. Singularities of differentiable maps, Volume 1. Classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, edited by V. I. Arnol’d. Reprint of the 1985 hardback edition. (English) Zbl 1290.58001 Modern Birkhäuser Classics. Boston, MA: Birkhäuser (ISBN 978-0-8176-8339-9/pbk; 978-0-8176-8340-5/ebook). xii, 382 p. (2012). Reviewer: Mihai-Marius Tibar (Lille) MSC: 58-02 58C25 58K05 57R45 58K25 58K60 PDFBibTeX XMLCite \textit{V. I. Arnold} et al., Singularities of differentiable maps, Volume 1. Classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, edited by V. I. Arnol'd. Reprint of the 1985 hardback edition. Boston, MA: Birkhäuser (2012; Zbl 1290.58001) Full Text: DOI
Izumiya, Shyuichi; Takahashi, Masatomo On caustics of submanifolds and canal hypersurfaces in Euclidean space. (English) Zbl 1245.57034 Topology Appl. 159, No. 2, 501-508 (2012). Reviewer: Richárd Rimányi (Chapel Hill) MSC: 57R45 58K20 58K40 PDFBibTeX XMLCite \textit{S. Izumiya} and \textit{M. Takahashi}, Topology Appl. 159, No. 2, 501--508 (2012; Zbl 1245.57034) Full Text: DOI
Felea, Raluca; Greenleaf, Allan; Pramanik, Malabika An FIO calculus for marine seismic imaging. II: Sobolev estimates. (English) Zbl 1237.35168 Math. Ann. 352, No. 2, 293-337 (2012). Reviewer: Raymond Johnson (Houston) MSC: 35S30 35S05 74J25 86A15 47G30 PDFBibTeX XMLCite \textit{R. Felea} et al., Math. Ann. 352, No. 2, 293--337 (2012; Zbl 1237.35168) Full Text: DOI arXiv
Papadopoulos, G. A. New formula of experimental stress intensity factor evaluation by caustics. (English) Zbl 1283.74016 Int. J. Fract. 171, No. 1, 79-84 (2011). MSC: 74G70 74-05 PDFBibTeX XMLCite \textit{G. A. Papadopoulos}, Int. J. Fract. 171, No. 1, 79--84 (2011; Zbl 1283.74016) Full Text: DOI
Faure, S.; Petcu, M.; Temam, R.; Tribbia, J. On the inaccuracies of some finite volume discrtizations of the linearized shallow water problem. (English) Zbl 1426.76361 Int. J. Numer. Anal. Model. 8, No. 3, 518-541 (2011). MSC: 76M12 76B15 PDFBibTeX XMLCite \textit{S. Faure} et al., Int. J. Numer. Anal. Model. 8, No. 3, 518--541 (2011; Zbl 1426.76361) Full Text: Link
David, Claire; Sagaut, Pierre Spurious caustics of dispersion-relation-preserving schemes. (English) Zbl 1229.65151 Int. J. Comput. Math. 88, No. 12, 2625-2636 (2011). MSC: 65M06 35L02 35Q53 65M60 65M12 PDFBibTeX XMLCite \textit{C. David} and \textit{P. Sagaut}, Int. J. Comput. Math. 88, No. 12, 2625--2636 (2011; Zbl 1229.65151) Full Text: DOI arXiv
Kozlov, V. V. Problem of stability of two-link trajectories in a multidimensional Birkhoff billiard. (English. Russian original) Zbl 1263.37059 Proc. Steklov Inst. Math. 273, 196-213 (2011); translation from Tr. Mat. Inst. Steklova 273, 212-230 (2011). Reviewer: Hongkun Zhang (Amherst) MSC: 37D50 PDFBibTeX XMLCite \textit{V. V. Kozlov}, Proc. Steklov Inst. Math. 273, 196--213 (2011; Zbl 1263.37059); translation from Tr. Mat. Inst. Steklova 273, 212--230 (2011) Full Text: DOI
Bosch, Salvador Ray tracing and scalar diffraction calculations of wavefronts, caustics and complex amplitudes in optical systems. (English) Zbl 1218.78004 J. Mod. Opt. 58, No. 1-2, 146-153 (2011). MSC: 78A05 78A45 PDFBibTeX XMLCite \textit{S. Bosch}, J. Mod. Opt. 58, No. 1--2, 146--153 (2011; Zbl 1218.78004) Full Text: DOI Link
Pham, Frédéric Singularities of integrals. Homology, hyperfunctions and microlocal analysis. Transl. from the French by the author. (English) Zbl 1223.32001 Universitext. Berlin: Springer; Les Ulis: EDP Sciences (ISBN 978-0-85729-602-3/pbk; 978-2-7598-0363-7/pbk; 978-0-85729-603-0/ebook). xi, 217 p. (2011). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 32-02 42-02 32S40 32A45 42B20 58K99 PDFBibTeX XMLCite \textit{F. Pham}, Singularities of integrals. Homology, hyperfunctions and microlocal analysis. Transl. from the French by the author. Berlin: Springer; Les Ulis: EDP Sciences (2011; Zbl 1223.32001) Full Text: DOI
Berry, M. V.; Howls, C. J. Axial and focal-plane diffraction catastrophe integrals. (English) Zbl 1200.78006 J. Phys. A, Math. Theor. 43, No. 37, Article ID 375206, 13 p. (2010). MSC: 78A45 33C10 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{C. J. Howls}, J. Phys. A, Math. Theor. 43, No. 37, Article ID 375206, 13 p. (2010; Zbl 1200.78006) Full Text: DOI
Funahashi, Kunio Extended Feynman formula for the harmonic oscillator by the discrete time method. (English) Zbl 1184.81045 Mod. Phys. Lett. A 25, No. 3, 179-188 (2010). MSC: 81Q05 81S40 PDFBibTeX XMLCite \textit{K. Funahashi}, Mod. Phys. Lett. A 25, No. 3, 179--188 (2010; Zbl 1184.81045) Full Text: DOI arXiv
Spadoni, Alessandro; Ruzzene, Massimo; Gonella, Stefano; Scarpa, Fabrizio Phononic properties of hexagonal chiral lattices. (English) Zbl 1231.82083 Wave Motion 46, No. 7, 435-450 (2009). MSC: 82D25 PDFBibTeX XMLCite \textit{A. Spadoni} et al., Wave Motion 46, No. 7, 435--450 (2009; Zbl 1231.82083) Full Text: DOI Link
Magnanini, Rolando; Talenti, Giorgio On complex-valued 2D eikonals. IV: continuation past a caustic. (English) Zbl 1205.35301 Milan J. Math. 77, 1-66 (2009). MSC: 35Q60 78A25 78A05 PDFBibTeX XMLCite \textit{R. Magnanini} and \textit{G. Talenti}, Milan J. Math. 77, 1--66 (2009; Zbl 1205.35301) Full Text: DOI arXiv
Masaki, Satoshi Cascade of phase shifts and creation of nonlinear focal points for supercritical semiclassical Hartree equation. (English) Zbl 1214.35065 Methods Appl. Anal. 16, No. 4, 403-458 (2009). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q55 35Q31 81Q05 81Q20 35B40 PDFBibTeX XMLCite \textit{S. Masaki}, Methods Appl. Anal. 16, No. 4, 403--458 (2009; Zbl 1214.35065) Full Text: DOI arXiv Euclid
Aazami, A. B.; Petters, A. O. A universal magnification theorem for higher-order caustic singularities. (English) Zbl 1202.58021 J. Math. Phys. 50, No. 3, 032501, 29 p. (2009). MSC: 58K50 58K05 83C75 PDFBibTeX XMLCite \textit{A. B. Aazami} and \textit{A. O. Petters}, J. Math. Phys. 50, No. 3, 032501, 29 p. (2009; Zbl 1202.58021) Full Text: DOI arXiv
David, Cl.; Sagaut, P.; Sengupta, T. A linear dispersive mechanism for numerical error growth: Spurious caustics. (English) Zbl 1153.76390 Eur. J. Mech., B, Fluids 28, No. 1, 146-151 (2009). MSC: 76M20 76R99 PDFBibTeX XMLCite \textit{Cl. David} et al., Eur. J. Mech., B, Fluids 28, No. 1, 146--151 (2009; Zbl 1153.76390) Full Text: DOI arXiv
Dagrau, Franck; Coulouvrat, François; Marchiano, Régis; Héron, Nicolas Nonlinear shock wave propagation in heterogeneous fluids: a numerical approach beyond the parabolic approximation with application to sonic boom. (English) Zbl 1416.76086 Enflo, Bengt O. (ed.) et al., Nonlinear acoustics – fundamentals and applications ISNA 18. 18th international symposium on nonlinear acoustics, Stockholm, Sweden, 7–10 July 2008. With CD-ROM. Melville, NY: American Institute of Physics (AIP). AIP Conf. Proc. 1022, 389-392 (2008). MSC: 76L05 76Q05 PDFBibTeX XMLCite \textit{F. Dagrau} et al., AIP Conf. Proc. 1022, 389--392 (2008; Zbl 1416.76086) Full Text: DOI
Grigorieva, Natalie S.; Fridman, Gregory M. Relationship between the axial wave, and first normal modes for ducted, propagation in a waveguide. (English) Zbl 1257.76105 J. Comput. Acoust. 16, No. 1, 117-135 (2008). MSC: 76Q05 PDFBibTeX XMLCite \textit{N. S. Grigorieva} and \textit{G. M. Fridman}, J. Comput. Acoust. 16, No. 1, 117--135 (2008; Zbl 1257.76105) Full Text: DOI
Svensson, Elin Gaussian beam summation in shallow waveguides. (English) Zbl 1231.74190 Wave Motion 45, No. 4, 445-456 (2008). MSC: 74J05 35Q74 35C15 76Q05 86A15 PDFBibTeX XMLCite \textit{E. Svensson}, Wave Motion 45, No. 4, 445--456 (2008; Zbl 1231.74190) Full Text: DOI
Joets, Alain Caustics in Greek antiquity. (English) Zbl 1155.01001 Janeczko, Stanisław (ed.) et al., Geometry and topology of caustics — Caustics ’06. Proceedings of the 3rd Banach Center symposium, Warsaw, Poland, June 19–30, 2006. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 82, 157-161 (2008). Reviewer: Karl-Bernhard Gundlach (Marburg) MSC: 01A20 01A45 51-03 PDFBibTeX XMLCite \textit{A. Joets}, Banach Cent. Publ. 82, 157--161 (2008; Zbl 1155.01001) Full Text: Link
Joets, Alain Singularities in drawings of singular surfaces. (English) Zbl 1149.57042 Janeczko, Stanisław (ed.) et al., Geometry and topology of caustics — Caustics ’06. Proceedings of the 3rd Banach Center symposium, Warsaw, Poland, June 19–30, 2006. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 82, 143-156 (2008). MSC: 57R45 57R42 PDFBibTeX XMLCite \textit{A. Joets}, Banach Cent. Publ. 82, 143--156 (2008; Zbl 1149.57042) Full Text: Link
Izumiya, Shyuichi; Takahashi, Masatomo Caustics and wave front propagations: applications to differential geometry. (English) Zbl 1156.57025 Janeczko, Stanisław (ed.) et al., Geometry and topology of caustics — Caustics ’06. Proceedings of the 3rd Banach Center symposium, Warsaw, Poland, June 19–30, 2006. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 82, 125-142 (2008). Reviewer: Dorin Andrica (Cluj-Napoca) MSC: 57R45 58K99 53C40 PDFBibTeX XMLCite \textit{S. Izumiya} and \textit{M. Takahashi}, Banach Cent. Publ. 82, 125--142 (2008; Zbl 1156.57025) Full Text: Link
Tanushev, Nicolay M. Superpositions and higher order Gaussian beams. (English) Zbl 1166.35345 Commun. Math. Sci. 6, No. 2, 449-475 (2008). MSC: 35L05 41A60 65M25 PDFBibTeX XMLCite \textit{N. M. Tanushev}, Commun. Math. Sci. 6, No. 2, 449--475 (2008; Zbl 1166.35345) Full Text: DOI Euclid
Carles, Rémi Semi-classical analysis for nonlinear Schrödinger equations. (English) Zbl 1153.35070 Hackensack, NJ: World Scientific (ISBN 978-981-279-312-6/hbk). xi, 243 p. (2008). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q55 35-02 81Q20 PDFBibTeX XMLCite \textit{R. Carles}, Semi-classical analysis for nonlinear Schrödinger equations. Hackensack, NJ: World Scientific (2008; Zbl 1153.35070)
Sapronov, Yu. I.; Chemerzina, E. V. Direct parameterization of caustics of Fredholm functionals. (English. Russian original) Zbl 1151.58009 J. Math. Sci., New York 142, No. 3, 2189-2197 (2007); translation from Sovrem. Mat. Prilozh. 29, 163-171 (2005). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 58E07 58E09 47J15 PDFBibTeX XMLCite \textit{Yu. I. Sapronov} and \textit{E. V. Chemerzina}, J. Math. Sci., New York 142, No. 3, 2189--2197 (2007; Zbl 1151.58009); translation from Sovrem. Mat. Prilozh. 29, 163--171 (2005) Full Text: DOI
Carles, Rémi; Gosse, Laurent Numerical aspects of nonlinear Schrödinger equations in the presence of caustics. (English) Zbl 1162.35068 Math. Models Methods Appl. Sci. 17, No. 10, 1531-1553 (2007). Reviewer: Petr Necesal (Plzen) MSC: 35Q55 65Z05 65M99 81Q20 PDFBibTeX XMLCite \textit{R. Carles} and \textit{L. Gosse}, Math. Models Methods Appl. Sci. 17, No. 10, 1531--1553 (2007; Zbl 1162.35068) Full Text: DOI arXiv
Roitman, Pedro Flat surfaces in hyperbolic space as normal surfaces to a congruence of geodesics. (English) Zbl 1140.53004 Tohoku Math. J. (2) 59, No. 1, 21-37 (2007). Reviewer: Thomas Hasanis (Ioannina) MSC: 53A10 53C24 PDFBibTeX XMLCite \textit{P. Roitman}, Tôhoku Math. J. (2) 59, No. 1, 21--37 (2007; Zbl 1140.53004) Full Text: DOI
Berry, M. V. Focused tsunami waves. (English) Zbl 1158.86001 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2087, 3055-3071 (2007). MSC: 86A05 76B15 PDFBibTeX XMLCite \textit{M. V. Berry}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2087, 3055--3071 (2007; Zbl 1158.86001) Full Text: DOI