Liu, Hailiang; Ralston, James; Yin, Peimeng General superpositions of Gaussian beams and propagation errors. (English) Zbl 1429.35147 Math. Comput. 89, No. 322, 675-697 (2020). MSC: 35L15 35L05 35A35 41A60 65M15 PDF BibTeX XML Cite \textit{H. Liu} et al., Math. Comput. 89, No. 322, 675--697 (2020; Zbl 1429.35147) Full Text: DOI arXiv OpenURL
Acosta-Humánez, Primitivo; Giraldo, Hernán; Piedrahita, Carlos Differential Galois groups and representation of quivers for seismic models with constant Hessian of square of slowness. (English) Zbl 1381.12002 Far East J. Math. Sci. (FJMS) 102, No. 3, 599-623 (2017). MSC: 12H05 16G20 34E05 34E20 35C20 35Q60 35L05 86A15 PDF BibTeX XML Cite \textit{P. Acosta-Humánez} et al., Far East J. Math. Sci. (FJMS) 102, No. 3, 599--623 (2017; Zbl 1381.12002) Full Text: DOI arXiv Link OpenURL
Schnitzer, Ory Waves in slowly varying band-gap media. (English) Zbl 1380.34090 SIAM J. Appl. Math. 77, No. 4, 1516-1535 (2017). Reviewer: Vasile Dragan (Bucureşti) MSC: 34E20 34E05 78M35 PDF BibTeX XML Cite \textit{O. Schnitzer}, SIAM J. Appl. Math. 77, No. 4, 1516--1535 (2017; Zbl 1380.34090) Full Text: DOI arXiv OpenURL
Malenova, G.; Motamed, M.; Runborg, O.; Tempone, R. A sparse stochastic collocation technique for high-frequency wave propagation with uncertainty. (English) Zbl 1362.35344 SIAM/ASA J. Uncertain. Quantif. 4, 1084-1110 (2016). MSC: 35R60 35L05 35B65 65M70 PDF BibTeX XML Cite \textit{G. Malenova} et al., SIAM/ASA J. Uncertain. Quantif. 4, 1084--1110 (2016; Zbl 1362.35344) Full Text: DOI arXiv OpenURL
Liu, Hailiang; Runborg, Olof; Tanushev, Nicolay M. Sobolev and max norm error estimates for Gaussian beam superpositions. (English) Zbl 1372.35263 Commun. Math. Sci. 14, No. 7, 2037-2072 (2016). MSC: 35Q41 35L30 58J45 35A35 35L05 41A60 35B45 PDF BibTeX XML Cite \textit{H. Liu} et al., Commun. Math. Sci. 14, No. 7, 2037--2072 (2016; Zbl 1372.35263) Full Text: DOI arXiv OpenURL
Motamed, Mohammad; Runborg, Olof A wavefront-based Gaussian beam method for computing high frequency wave propagation problems. (English) Zbl 1443.65302 Comput. Math. Appl. 69, No. 9, 949-963 (2015). MSC: 65N25 35L15 PDF BibTeX XML Cite \textit{M. Motamed} and \textit{O. Runborg}, Comput. Math. Appl. 69, No. 9, 949--963 (2015; Zbl 1443.65302) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{C. Zheng}, Commun. Math. Sci. 13, No. 8, 1949--1974 (2015; Zbl 1332.78032) Full Text: DOI OpenURL
Groth, Samuel P.; Hewett, David P.; Langdon, Stephen Hybrid numerical-asymptotic approximation for high-frequency scattering by penetrable convex polygons. (English) Zbl 1328.35230 IMA J. Appl. Math. 80, No. 2, 324-353 (2015). MSC: 35Q60 78A45 78M15 78M35 35J05 PDF BibTeX XML Cite \textit{S. P. Groth} et al., IMA J. Appl. Math. 80, No. 2, 324--353 (2015; Zbl 1328.35230) Full Text: DOI Link OpenURL
Sumbatyan, M. A.; Remizov, M. Yu. Asymptotic analysis in the anti-plane high-frequency diffraction by interface cracks. (English) Zbl 1320.74064 Appl. Math. Lett. 34, 72-75 (2014). MSC: 74J20 74R10 74G10 PDF BibTeX XML Cite \textit{M. A. Sumbatyan} and \textit{M. Yu. Remizov}, Appl. Math. Lett. 34, 72--75 (2014; Zbl 1320.74064) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{C. Zheng}, Commun. Math. Sci. 11, No. 1, 105--140 (2013; Zbl 1275.35015) Full Text: DOI OpenURL
Liu, Hailiang; Runborg, Olof; Tanushev, Nicolay M. Error estimates for Gaussian beam superpositions. (English) Zbl 1277.35236 Math. Comput. 82, No. 282, 919-952 (2013). Reviewer: Yoshitsugu Takei (Kyoto) MSC: 35L30 35A35 41A60 78A05 PDF BibTeX XML Cite \textit{H. Liu} et al., Math. Comput. 82, No. 282, 919--952 (2013; Zbl 1277.35236) Full Text: DOI arXiv OpenURL
Chappell, David J.; Tanner, Gregor; Giani, Stefano Boundary element dynamical energy analysis: a versatile method for solving two or three dimensional wave problems in the high frequency limit. (English) Zbl 1277.74029 J. Comput. Phys. 231, No. 18, 6181-6191 (2012). MSC: 74H10 74J99 45M05 65M38 PDF BibTeX XML Cite \textit{D. J. Chappell} et al., J. Comput. Phys. 231, No. 18, 6181--6191 (2012; Zbl 1277.74029) Full Text: DOI arXiv OpenURL
Motamed, Mohammad; Runborg, Olof Taylor expansion and discretization errors in Gaussian beam superposition. (English) Zbl 1231.78006 Wave Motion 47, No. 7, 421-439 (2010). MSC: 78A05 65N99 PDF BibTeX XML Cite \textit{M. Motamed} and \textit{O. Runborg}, Wave Motion 47, No. 7, 421--439 (2010; Zbl 1231.78006) Full Text: DOI arXiv Link OpenURL
Giannoulis, Johannes; Mielke, Alexander; Sparber, Christof High-frequency averaging in semi-classical Hartree-type equations. (English) Zbl 1229.35261 Asymptotic Anal. 70, No. 1-2, 87-100 (2010). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q55 35B25 35B40 81Q20 PDF BibTeX XML Cite \textit{J. Giannoulis} et al., Asymptotic Anal. 70, No. 1--2, 87--100 (2010; Zbl 1229.35261) Full Text: DOI arXiv OpenURL
Babych, Natalia; Golovaty, Yuri Low and high frequency approximations to eigenvibrations of string with double contrasts. (English) Zbl 1379.34082 J. Comput. Appl. Math. 234, No. 6, 1860-1867 (2010). MSC: 34L20 47A55 47E05 65L15 PDF BibTeX XML Cite \textit{N. Babych} and \textit{Y. Golovaty}, J. Comput. Appl. Math. 234, No. 6, 1860--1867 (2010; Zbl 1379.34082) Full Text: DOI arXiv OpenURL
Nolde, E. Qualitative analysis of initial value problems for a thin elastic strip. (English) Zbl 1130.74017 IMA J. Appl. Math. 72, No. 3, 348-375 (2007). MSC: 74H10 74K20 PDF BibTeX XML Cite \textit{E. Nolde}, IMA J. Appl. Math. 72, No. 3, 348--375 (2007; Zbl 1130.74017) Full Text: DOI OpenURL
Kaplunov, Julius; Nolde, Evgeniya; Rogerson, Graham A. An asymptotic analysis of initial-value problems for thin elastic plates. (English) Zbl 1149.74357 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 462, No. 2073, 2541-2561 (2006). MSC: 74K20 74H10 PDF BibTeX XML Cite \textit{J. Kaplunov} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 462, No. 2073, 2541--2561 (2006; Zbl 1149.74357) Full Text: DOI OpenURL
Cherednichenko, Kirill D. On propagation of attenuated Rayleigh waves along a fluid-solid interface of arbitrary shape. (English) Zbl 1087.74035 Q. J. Mech. Appl. Math. 59, No. 1, 75-94 (2006). MSC: 74J15 74H10 74B15 PDF BibTeX XML Cite \textit{K. D. Cherednichenko}, Q. J. Mech. Appl. Math. 59, No. 1, 75--94 (2006; Zbl 1087.74035) Full Text: DOI OpenURL
Geveci, Berk; Walker, J. D. A. Nonlinear resonance of rectangular plates. (English) Zbl 1002.74042 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 457, No. 2009, 1215-1240 (2001). MSC: 74H45 74K20 74F10 74S25 74H10 PDF BibTeX XML Cite \textit{B. Geveci} and \textit{J. D. A. Walker}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 457, No. 2009, 1215--1240 (2001; Zbl 1002.74042) Full Text: DOI OpenURL
Scalia, Antonio; Sumbatyan, Mezhlum A. Explicit short-wave asymptotics for diffraction by finite-length discontinuities in waveguides: Closed structures. (English) Zbl 0989.74035 Z. Angew. Math. Phys. 52, No. 4, 631-639 (2001). MSC: 74J20 74H10 PDF BibTeX XML Cite \textit{A. Scalia} and \textit{M. A. Sumbatyan}, Z. Angew. Math. Phys. 52, No. 4, 631--639 (2001; Zbl 0989.74035) Full Text: DOI OpenURL
Watanabe, Kazumi; Adachi, Kazunari SH wave in a transition layer of anisotropy. (English) Zbl 1087.74565 Int. J. Solids Struct. 38, No. 28-29, 4825-4838 (2001). MSC: 74J10 74E10 74H10 PDF BibTeX XML Cite \textit{K. Watanabe} and \textit{K. Adachi}, Int. J. Solids Struct. 38, No. 28--29, 4825--4838 (2001; Zbl 1087.74565) Full Text: DOI OpenURL
Popov, M. M.; Shchitov, I. N. On the propagation of discontinuities of a system of two interacting wave equations. (English. Russian original) Zbl 1028.74031 J. Math. Sci., New York 111, No. 5, 3799-3805 (2002); translation from Zap. Nauchn. Semin. POMI 264, 299-310 (2000). MSC: 74J40 74J10 35L15 35L55 74H10 PDF BibTeX XML Cite \textit{M. M. Popov} and \textit{I. N. Shchitov}, J. Math. Sci., New York 111, No. 5, 1 (2000; Zbl 1028.74031); translation from Zap. Nauchn. Semin. POMI 264, 299--310 (2000) Full Text: DOI OpenURL
Perel, M. V.; Fialkovsky, I. V.; Kiselev, A. P. Resonance interaction of bending and shear modes in a nonuniform Timoshenko beam. (English. Russian original) Zbl 1028.74032 J. Math. Sci., New York 111, No. 5, 3775-3790 (2002); translation from Zap. Nauchn. Semin. POMI 264, 258-284 (2000). MSC: 74K10 74H10 74J05 PDF BibTeX XML Cite \textit{M. V. Perel} et al., J. Math. Sci., New York 111, No. 5, 1 (2000; Zbl 1028.74032); translation from Zap. Nauchn. Semin. POMI 264, 258--284 (2000) Full Text: DOI OpenURL
Prasad, Phoolan An asymptotic derivation of weakly nonlinear ray theory. (English) Zbl 0965.35092 Proc. Indian Acad. Sci., Math. Sci. 110, No. 4, 431-447 (2000). MSC: 35L60 35C20 PDF BibTeX XML Cite \textit{P. Prasad}, Proc. Indian Acad. Sci., Math. Sci. 110, No. 4, 431--447 (2000; Zbl 0965.35092) Full Text: DOI OpenURL
Pompei, A.; Rigano, M. A.; Sumbatyan, M. A. On efficient treatment of high-frequency SH-wave fields in the elastic layer. (English) Zbl 0959.74034 ZAMM, Z. Angew. Math. Mech. 79, No. 11, 781-785 (1999). MSC: 74J10 74H10 PDF BibTeX XML Cite \textit{A. Pompei} et al., ZAMM, Z. Angew. Math. Mech. 79, No. 11, 781--785 (1999; Zbl 0959.74034) Full Text: DOI OpenURL
Hanyga, Andrzej Asymptotic theory of seismic wave attenuation in porous media. (English) Zbl 0982.74542 DeSanto, John A. (ed.), Mathematical and numerical aspects of wave propagation. Proceedings of the 4th international conference held at Mines in Golden, CO, USA, June 1-5, 1998. Philadelphia, PA: SIAM. Proc. Appl. Math. 449-452 (1998). MSC: 74J10 74F10 74H10 86A15 PDF BibTeX XML Cite \textit{A. Hanyga}, Proc. Appl. Math. 449--452, 449--452 (1998; Zbl 0982.74542) OpenURL
Yanson, Z. A. Love waves of \(SH\) type in an inhomogeneous transversely isotropic elastic medium. (English. Russian original) Zbl 0962.74516 J. Math. Sci., New York 96, No. 4, 3434-3446 (1999); translation from Zap. Nauchn. Semin. POMI 239, 243-262 (1997). MSC: 74J20 74E10 74H10 86A15 PDF BibTeX XML Cite \textit{Z. A. Yanson}, J. Math. Sci., New York 96, No. 4, 1 (1997; Zbl 0962.74516); translation from Zap. Nauchn. Semin. POMI 239, 243--262 (1997) Full Text: DOI OpenURL
Aref’ev, A. V.; Kiselev, A. P. Viscoelastic Love waves in a layered structure with weak lateral inhomogeneity. (English. Russian original) Zbl 0945.74035 J. Math. Sci., New York 96, No. 4, 3289-3291 (1999); translation from Zap. Nauchn. Semin. POMI 239, 7-11 (1997). MSC: 74J15 74D05 74H10 PDF BibTeX XML Cite \textit{A. V. Aref'ev} and \textit{A. P. Kiselev}, J. Math. Sci., New York 96, No. 4, 1 (1997; Zbl 0945.74035); translation from Zap. Nauchn. Semin. POMI 239, 7--11 (1997) Full Text: DOI OpenURL
Peake, N.; Kerschen, E. J. Influence of mean loading on noise generated by the interaction of gusts with a flat-plate cascade: Upstream radiation. (English) Zbl 0911.76084 J. Fluid Mech. 347, 315-346 (1997). Reviewer: A.Trad (Paris) MSC: 76Q05 PDF BibTeX XML Cite \textit{N. Peake} and \textit{E. J. Kerschen}, J. Fluid Mech. 347, 315--346 (1997; Zbl 0911.76084) Full Text: DOI OpenURL
Babich, Vasily M.; Kiselev, Aleksey P. Non-geometrical waves - are there any? An asymptotic description of some ’non-geometrical’ phenomena in seismic wave propagation. (English) Zbl 0704.73023 Geophys. J. Int. 99, No. 2, 415-420 (1989). MSC: 74J15 86A15 74S30 PDF BibTeX XML Cite \textit{V. M. Babich} and \textit{A. P. Kiselev}, Geophys. J. Int. 99, No. 2, 415--420 (1989; Zbl 0704.73023) Full Text: DOI OpenURL
Klimeš, Luděk Gaussian packets in the computation of seismic wavefields. (English) Zbl 0704.73019 Geophys. J. Int. 99, No. 2, 421-433 (1989). MSC: 74J10 86A15 74S30 35C20 35L05 PDF BibTeX XML Cite \textit{L. Klimeš}, Geophys. J. Int. 99, No. 2, 421--433 (1989; Zbl 0704.73019) Full Text: DOI OpenURL
Keogh, P. S. High-frequency scattering of a normally incident plane compressional wave by a penny-shaped crack. (English) Zbl 0635.73025 Q. J. Mech. Appl. Math. 39, 535-566 (1986). Reviewer: A.Chatterjee MSC: 74J20 74R05 PDF BibTeX XML Cite \textit{P. S. Keogh}, Q. J. Mech. Appl. Math. 39, 535--566 (1986; Zbl 0635.73025) Full Text: DOI OpenURL
Boev, S. I.; Sumbatyan, M. A. A dynamic contact problem for an elastic half-plane in the case of high frequency oscillations. (English. Russian original) Zbl 0613.73117 J. Appl. Math. Mech. 49, 793-796 (1985); translation from Prikl. Mat. Mekh. 49, 1039-1043 (1985). MSC: 74A55 74M15 45E10 45L05 PDF BibTeX XML Cite \textit{S. I. Boev} and \textit{M. A. Sumbatyan}, J. Appl. Math. Mech. 49, 793--796 (1985; Zbl 0613.73117); translation from Prikl. Mat. Mekh. 49, 1039--1043 (1985) Full Text: DOI OpenURL
Martin, J. Diffraction by a ship in head seas. (English) Zbl 0571.73021 Classical scattering, Univ. Strathclyde Semin. Appl. Math. Anal., Shiva Math. Ser. 9, 100-109 (1984). MSC: 74J20 74F10 35J05 76B15 PDF BibTeX XML OpenURL
Philippov, V. B. Diffraction by a nonplanar screen. (English) Zbl 0514.73015 Wave Motion 3, 71-80 (1981). MSC: 74J20 PDF BibTeX XML Cite \textit{V. B. Philippov}, Wave Motion 3, 71--80 (1981; Zbl 0514.73015) Full Text: DOI OpenURL
Popov, M. M. A new method of computing wave fields in the high-frequency approximation. (English. Russian original) Zbl 0489.73039 J. Sov. Math. 20, 1869-1882 (1982); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 104, 195-216 (1981). MSC: 74J99 35J05 35B40 PDF BibTeX XML Cite \textit{M. M. Popov}, J. Sov. Math. 20, 1869--1882 (1981; Zbl 0489.73039); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 104, 195--216 (1981) Full Text: DOI OpenURL
Mei, Chiang C.; Tuck, E. O. Forward scattering by long thin bodies. (English) Zbl 0451.35090 SIAM J. Appl. Math. 39, 178-191 (1980). MSC: 35Q99 35P25 47A40 76B99 PDF BibTeX XML Cite \textit{C. C. Mei} and \textit{E. O. Tuck}, SIAM J. Appl. Math. 39, 178--191 (1980; Zbl 0451.35090) Full Text: DOI OpenURL