Quarisa, Lorenzo; Rodrigo, José L. The adjoint Rayleigh and Orr-Sommerfeld equations: Green function and eigenmodes. (English) Zbl 07946880 J. Math. Anal. Appl. 543, No. 1, Article ID 128884, 35 p. (2025). MSC: 35Qxx 35Bxx 76Dxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mao, Yifeng; Mantzavinos, Dionyssios; Hoefer, Mark A. Long-time asymptotics and the radiation condition with time-periodic boundary conditions for linear evolution equations on the half-line and experiment. (English) Zbl 1542.35061 Stud. Appl. Math. 152, No. 3, 916-973 (2024). MSC: 35B40 35B10 35Q51 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ji, Xiaoyang; Dong, Ming; Zhao, Lei Impact of compliant coating on Mack-mode evolution in hypersonic boundary layers. (English) Zbl 1530.76023 J. Fluid Mech. 974, Paper No. A1, 32 p. (2023). MSC: 76E05 76N20 76K05 76N25 74F10 × Cite Format Result Cite Review PDF Full Text: DOI
Tyurin, Nikolai A. Special Bohr-Sommerfeld geometry: variations. (English. Russian original) Zbl 1525.53079 Izv. Math. 87, No. 3, 595-615 (2023); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 87, No. 3, 184-205 (2023). MSC: 53D05 53D30 53D12 53D50 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Fujiié, Setsuro; Hatzizisis, Nicholas; Kamvissis, Spyridon Semiclassical WKB problem for the non-self-adjoint Dirac operator with an analytic rapidly oscillating potential. (English) Zbl 1512.35533 J. Differ. Equations 360, 90-150 (2023). MSC: 35Q55 35Q41 35Q40 81Q20 81Q10 35B40 35P25 37K15 37K10 33C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Griesmaier, Roland; Raumer, Hans-Georg The factorization method and Capon’s method for random source identification in experimental aeroacoustics. (English) Zbl 1498.35616 Inverse Probl. 38, No. 11, Article ID 115004, 17 p. (2022). MSC: 35R30 35J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ingremeau, Maxime Semiclassical limits of distorted plane waves in chaotic scattering without a pressure condition. (English) Zbl 1495.35015 Int. Math. Res. Not. 2022, No. 16, 12030-12071 (2022). MSC: 35B25 35J10 35R01 58J05 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bonnet-Ben Dhia, Anne-Sophie; Chandler-Wilde, Simon N.; Fliss, Sonia On the half-space matching method for real wavenumber. (English) Zbl 1497.35100 SIAM J. Appl. Math. 82, No. 4, 1287-1311 (2022). MSC: 35J05 35J25 35P25 45B05 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Ambrose, David M.; Cakoni, Fioralba; Moskow, Shari A perturbation problem for transmission eigenvalues. (English) Zbl 1491.35302 Res. Math. Sci. 9, No. 1, Paper No. 11, 16 p. (2022). Reviewer: Ivan Naumkin (Nice) MSC: 35P25 35P05 35J57 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Klein, Christian; Stoilov, Nikola Multi-domain spectral approach with Sommerfeld condition for the Maxwell equations. (English) Zbl 07508515 J. Comput. Phys. 434, Article ID 110149, 16 p. (2021). MSC: 65Mxx 83Cxx 35Qxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Guanghui; Lu, Wangtao; Rathsfeld, Andreas Time-harmonic acoustic scattering from locally perturbed periodic curves. (English) Zbl 1479.78013 SIAM J. Appl. Math. 81, No. 6, 2569-2595 (2021). MSC: 78A45 76Q05 74J20 35J05 35J08 35J50 35P25 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Mukhopadhyay, Sanghasri; Mukhopadhyay, Asim Hydrodynamic instability and wave formation of a viscous film flowing down a slippery inclined substrate: effect of odd-viscosity. (English) Zbl 1493.76046 Eur. J. Mech., B, Fluids 89, 161-170 (2021). MSC: 76E17 76A20 76D05 76M45 × Cite Format Result Cite Review PDF Full Text: DOI
Gadzhiev, Dmitry A.; Gaifullin, Alexander M. Sound scattering by a vortex: case of exponentially decaying velocity. (English) Zbl 1502.76089 J. Fluid Mech. 918, Paper No. A46, 36 p. (2021). MSC: 76Q05 76M45 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Wangtao Mathematical analysis of wave radiation by a step-like surface. (English) Zbl 1465.35129 SIAM J. Appl. Math. 81, No. 2, 666-693 (2021). MSC: 35J05 35J08 35P25 45E05 65R20 78A40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yoshida, Naoya Eigenvalues and eigenfunctions for the two dimensional Schrödinger operator with strong magnetic field. (English) Zbl 1462.35371 Asymptotic Anal. 120, No. 1-2, 175-197 (2020). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q55 35P20 35B40 35J10 35S15 81Q20 81S10 × Cite Format Result Cite Review PDF Full Text: DOI
Georgievskii, D. V. Estimates of the exponential decay of perturbations superimposed on the longitudinal harmonic vibrations of a viscous layer. (English. Russian original) Zbl 1452.76066 Differ. Equ. 56, No. 10, 1335-1344 (2020); translation from Differ. Uravn. 56, No. 10, 1366-1375 (2020). MSC: 76E05 76D05 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Caro, Pedro; Garcia, Andoni Scattering with critically-singular and \(\delta \)-shell potentials. (English) Zbl 1450.35204 Commun. Math. Phys. 379, No. 2, 543-587 (2020). MSC: 35P25 35J15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adachi, T.; Itakura, K.; Ito, K.; Skibsted, E. Spectral theory for 1-body Stark operators. (English) Zbl 1435.35268 J. Differ. Equations 268, No. 9, 5179-5206 (2020). Reviewer: Michael Perelmuter (Kyïv) MSC: 35P25 35J10 81Q10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Stepin, S. A.; Fufaev, V. V. WKB asymptotics and spectral deformation in semi-classical limit. (English) Zbl 1439.34063 J. Dyn. Control Syst. 26, No. 1, 175-198 (2020). MSC: 34E20 34L20 81Q20 × Cite Format Result Cite Review PDF Full Text: DOI
Tyurin, Nikolai A. Lagrangian approach to geometric quantization. (English) Zbl 1443.53003 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1–7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. Trends Math., 255-258 (2019). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53-02 53D50 × Cite Format Result Cite Review PDF Full Text: DOI
Tyurin, N. A. The moduli space of \(D\)-exact Lagrangian submanifolds. (English. Russian original) Zbl 1429.53091 Sib. Math. J. 60, No. 4, 709-719 (2019); translation from Sib. Mat. Zh. 60, No. 4, 907-921 (2019). MSC: 53D12 14J99 × Cite Format Result Cite Review PDF Full Text: DOI
Tyurin, Nikolay A. Exact Lagrangian submanifolds and the moduli space of special Bohr-Sommerfeld Lagrangian cycles. (English) Zbl 1426.53090 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVI. Workshop and summer school, Białowieża, Poland, July 2–8, 2017. Selected papers of the 36th workshop (WGMPXXXVI) and extended abstracts of lectures given at the 6th “School of geometry and physics”. Cham: Birkhäuser. Trends Math., 147-154 (2019). MSC: 53D12 53D50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lu, Wangtao; Hu, Guanghui Time-harmonic acoustic scattering from a nonlocally perturbed trapezoidal surface. (English) Zbl 1423.76404 SIAM J. Sci. Comput. 41, No. 3, B522-B544 (2019). MSC: 76Q05 35J20 76M10 65R20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Liang; Yuan, Zhiming; Ji, Chunyan; Gao, Yan Resonant waves in the gap between two advancing barges. (English) Zbl 1475.76016 Eur. J. Mech., B, Fluids 77, 108-117 (2019). MSC: 76B20 76M99 × Cite Format Result Cite Review PDF Full Text: DOI Link
Tyurin, N. A. Special Bohr-Sommerfeld Lagrangian submanifolds of algebraic varieties. (English. Russian original) Zbl 1397.53090 Izv. Math. 82, No. 3, 612-631 (2018); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 3, 170-191 (2018). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 53D12 53D37 14J33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adam, John A. Rays, waves, and scattering. Topics in classical mathematical physics. (English) Zbl 1386.00065 Princeton Series in Applied Mathematics. Princeton, NJ: Princeton University Press (ISBN 978-0-691-14837-3/hbk; 978-1-4008-8540-4/ebook). xv, 588 p. (2017). Reviewer: Georg Hebermehl (Berlin) MSC: 00A79 78-01 78A40 78A45 78A46 76B15 76B20 76B55 76B60 76B65 76E17 76Q05 74Jxx 81Q05 81U05 81U20 85A25 86A05 86A15 35Q60 35Q35 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Tyurin, Nicolai A. Special Bohr-Sommerfeld Lagrangian submanifolds. (English. Russian original) Zbl 1366.53062 Izv. Math. 80, No. 6, 1257-1274 (2016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 6, 274-293 (2016). Reviewer: Antonella Nannicini (Firenze) MSC: 53D12 53D37 53D50 × Cite Format Result Cite Review PDF Full Text: DOI
Dhia, Anne-Sophie Bonnet-Ben; Chesnel, Lucas; Nazarov, Sergei A. Non-scattering wavenumbers and far field invisibility for a finite set of incident/scattering directions. (English) Zbl 1319.65106 Inverse Probl. 31, No. 4, Article ID 045006, 24 p. (2015). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N21 65N25 35J05 78A46 78A40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Zalipaev, V. V.; Linton, C. M. Semiclassical analysis of tunneling through a smooth potential barrier and localized states in graphene monolayer with mass gap. (English) Zbl 1351.82132 Nanosyst., Phys. Chem. Math. 4, No. 6, 725-746 (2013). MSC: 82D80 81Q20 82-08 65N30 × Cite Format Result Cite Review PDF
Zalipaev, V. V.; Maksimov, D. N.; Linton, C. M.; Kusmartsev, F. V. Spectrum of localized states in graphene quantum dots and wires. (English) Zbl 1298.81094 Phys. Lett., A 377, No. 3-4, 216-221 (2013). MSC: 81Q20 82D80 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Zhiming; Xiang, Xueshuang A source transfer domain decomposition method for Helmholtz equations in unbounded domain. (English) Zbl 1285.65082 SIAM J. Numer. Anal. 51, No. 4, 2331-2356 (2013). Reviewer: Trung Thanh Nguyen (Charlotte) MSC: 65N55 65F08 65Y20 35J05 65N38 65N12 35C15 × Cite Format Result Cite Review PDF Full Text: DOI
Erlangga, Yogi; Turkel, Eli Iterative schemes for high order compact discretizations to the exterior Helmholtz equation. (English) Zbl 1272.65082 ESAIM, Math. Model. Numer. Anal. 46, No. 3, 647-660 (2012). MSC: 65N06 35J05 65F08 65N55 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Kal’menov, T. Sh.; Suragan, D. Transfer of Sommerfeld radiation conditions to the boundary of a bounded domain. (Russian) Zbl 1274.35064 Zh. Vychisl. Mat. Mat. Fiz. 52, No. 6, 1063-1068 (2012). Reviewer: Andrei Zemskov (Moskva) MSC: 35J05 × Cite Format Result Cite Review PDF Full Text: MNR
Huang, Zhongyi; Yang, Xu A tailored finite cell method for solving Helmholtz equation in layered heterogeneous medium. (English) Zbl 1274.65301 J. Comput. Math. 30, No. 4, 381-391 (2012). MSC: 65N30 65N12 65N15 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Zubeldia, Miren Energy concentration and explicit Sommerfeld radiation condition for the electromagnetic Helmholtz equation. (English) Zbl 1269.35041 J. Funct. Anal. 263, No. 9, 2832-2862 (2012). MSC: 35Q60 35B38 78A40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zalipaev, V. V. High-energy localized eigenstates in a Fabry-Perot graphene resonator in a magnetic field. (English) Zbl 1245.82101 J. Phys. A, Math. Theor. 45, No. 21, Article ID 215306, 20 p. (2012). MSC: 82D80 78A10 81Q05 82B20 82-08 × Cite Format Result Cite Review PDF Full Text: DOI
Haddar, Houssem; Mdimagh, Ridha Identification of small inclusions from multistatic data using the reciprocity gap concept. (English) Zbl 1241.78022 Inverse Probl. 28, No. 4, Article ID 045011, 19 p. (2012). MSC: 78A46 35R30 65N21 78M50 65F20 93B30 × Cite Format Result Cite Review PDF Full Text: DOI
Yafaev, D. R. The semiclassical limit of eigenfunctions of the Schrödinger equation and the Bohr-Sommerfeld quantization condition, revisited. (English. Russian original) Zbl 1248.47015 St. Petersbg. Math. J. 22, No. 6, 1051-1067 (2011) and Algebra Anal. 22, No. 6, 270-291 (2010). Reviewer: Miyeon Kwon (Platteville) MSC: 47A40 81U05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, C. M.; Tay, Z. Y. Hydroelastic analysis and response of pontoon-type very large floating structures. (English) Zbl 1215.74023 Bungartz, Hans-Joachim (ed.) et al., Fluid-structure interaction II. Modelling, simulation, optimization. Selected papers based on the presentations at the first international workshop on computational engineering – special topic fluid-structure interactions, Herrsching, Germany, October 2009. Berlin: Springer (ISBN 978-3-642-14205-5/hbk; 978-3-642-14206-2/ebook). Lecture Notes in Computational Science and Engineering 73, 103-130 (2010). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 74F10 74S05 74S15 × Cite Format Result Cite Review PDF Full Text: DOI
Jentschura, Ulrich D.; Zinn-Justin, Jean Calculation of the characteristic functions of anharmonic oscillators. (English) Zbl 1203.65278 Appl. Numer. Math. 60, No. 12, 1332-1341 (2010). MSC: 65P10 81P68 81Q20 81S10 37M15 35Q40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Venkov, George Atkinson-Wilcox expansion theorem for inhomogeneous media. (English) Zbl 1171.78308 Math. Proc. R. Ir. Acad. 108A, No. 1, 19-25 (2008). MSC: 78A45 78A46 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Hao The scattering problem in the nonlinear medium. (Chinese. English summary) Zbl 1174.35088 Chin. Ann. Math., Ser. A 29, No. 3, 369-382 (2008). MSC: 35P25 × Cite Format Result Cite Review PDF
Nannen, Lothar Hardy space methods for the numerical solution of scattering and resonance problems on unbounded domains. (Hardy-Raum Methoden zur numerischen Lösung von Streu- und Resonanzproblemen auf unbeschränkten Gebieten.) (English) Zbl 1154.65373 Tönning: Der Andere Verlag; Göttingen: Univ. Göttingen, Mathematisch-Naturwissenschaftliche Fakultäten (Diss.). x, 127 p. (2008). MSC: 65N30 35J05 78A45 78M10 78A40 35Q60 × Cite Format Result Cite Review PDF
Bramble, James H.; Pasciak, Joseph E. A note on the existence and uniqueness of solutions of frequency domain elastic wave problems: a priori estimates in \(H^1\). (English) Zbl 1146.35323 J. Math. Anal. Appl. 345, No. 1, 396-404 (2008). MSC: 35B45 35J55 74J05 35J05 35P25 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Perthame, Benoit; Vega, Luis Energy concentration and Sommerfeld condition for Helmholtz equation with variable index at infinity. (English) Zbl 1137.35020 Geom. Funct. Anal. 17(2007), No. 5, 1685-1707 (2008). MSC: 35J05 35B25 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Yan, Guozheng The problem of scattering by a partially coated crack. (English) Zbl 1148.35059 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 4, 932-939 (2008). Reviewer: Georg Hebermehl (Berlin) MSC: 35P25 35Q60 78A45 × Cite Format Result Cite Review PDF Full Text: DOI
Kimn, Jung-Han; Sarkis, Marcus Restricted overlapping balancing domain decomposition methods and restricted coarse problems for the Helmholtz problem. (English) Zbl 1173.76343 Comput. Methods Appl. Mech. Eng. 196, No. 8, 1507-1514 (2007). MSC: 76M10 76Q05 65N55 × Cite Format Result Cite Review PDF Full Text: DOI
Souilah, Messaoud The limiting absorption method for a transmission problem in acoustic scattering. (English) Zbl 1110.65114 J. Partial Differ. Equations 19, No. 4, 359-368 (2006). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N38 35J05 76M15 76Q05 × Cite Format Result Cite Review PDF
Mesquita, Euclides; Pavanello, Renato Numerical methods for the dynamics of unbounded domains. (English) Zbl 1213.78021 Comput. Appl. Math. 24, No. 1, 1-26 (2005). MSC: 78A40 80M10 80M15 × Cite Format Result Cite Review PDF Full Text: Link
Tudorovskii, T. Ya. On the effect of spin on classical and quantum dynamics of an electron in thin twisted tubes. (English. Russian original) Zbl 1108.81029 Math. Notes 78, No. 6, 883-889 (2005); translation from Mat. Zametki 78, No. 6, 948-953 (2005). MSC: 81Q99 81V99 82D20 81-02 × Cite Format Result Cite Review PDF Full Text: DOI
Yan, Guozheng Uniqueness of a scattering problem with \(L^2\) boundary values. (English) Zbl 1138.78308 Comput. Math. Appl. 50, No. 8-9, 1363-1370 (2005). MSC: 78A45 35J05 35P25 × Cite Format Result Cite Review PDF Full Text: DOI
Potapenko, S. Propagation of torsional waves in a linear unbounded Cosserat continuum. (English) Zbl 1082.74023 Appl. Math. Lett. 18, No. 8, 935-940 (2005). MSC: 74J10 74A35 74H25 35Q72 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Xia; Zhao, Jie The far field patterns of transmission problem. (Chinese. English summary) Zbl 1089.35549 J. Hubei Inst. Nationalities, Nat. Sci. 23, No. 2, 167-171 (2005). MSC: 35R30 78A46 35P25 31B10 × Cite Format Result Cite Review PDF
Natterer, F. An error bound for the Born approximation. (English) Zbl 1073.35213 Inverse Probl. 20, No. 2, 447-452 (2004). MSC: 35R30 35J05 78A46 × Cite Format Result Cite Review PDF Full Text: DOI Link
Chiadò Piat, V.; Codegone, M. Scattering problems in a domain with small holes. (English) Zbl 1061.35069 RACSAM, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat. 97, No. 3, 447-454 (2003). MSC: 35P25 35J25 47A40 78A45 × Cite Format Result Cite Review PDF Full Text: EuDML
Ansoldi, Stefano WKB metastable quantum states of a de Sitter-Reissner-Nordström dust shell. (English) Zbl 1025.83014 Classical Quantum Gravity 19, No. 24, 6321-6344 (2002). Reviewer: Vladimir Dzhunushaliev (Bishkek) MSC: 83C57 81T20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goldberg, Maxim J.; Kim, Seonja Solving the Dirichlet acoustic scattering problem for a surface with added bumps using the Green’s function for the original surface. (English) Zbl 1032.35065 Int. J. Math. Math. Sci. 31, No. 11, 687-694 (2002). MSC: 35J25 35J05 76Q05 34B27 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Sjöstrand, Johannes Bohr-Sommerfeld quantization condition for non-selfadjoint operators in dimension 2. (English) Zbl 1066.53141 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau 2000-2001, Exp. No. XVI, 10 p. (2001). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D50 81S99 35P05 37J40 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Ma, Q. W.; Wu, G. X.; Eatock Taylor, R. Finite element simulation of fully nonlinear interaction between vertical cylinders and steep waves. I: Methodology and numerical procedure. II: Numerical results and validation. (English) Zbl 1017.76046 Int. J. Numer. Methods Fluids 36, No. 3, 265-308 (2001). MSC: 76M10 76B15 × Cite Format Result Cite Review PDF
Reiser, Bernhard Real processing. V: The balance of entropy production. (English) Zbl 0971.82022 Physica A 298, No. 3-4, 431-454 (2001). MSC: 82B35 82-02 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Ke; Harris, Paul J. Efficient preconditioners for iterative solution of the boundary element equations for the three-dimensional Helmholtz equation. (English) Zbl 0979.65107 Appl. Numer. Math. 36, No. 4, 475-489 (2001). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N38 35J05 65F10 65F35 × Cite Format Result Cite Review PDF Full Text: DOI
Martin-Seigle, Sabine; Pélissier, Marie-Claude; Filippi, Paul J. T. Acoustic radiation from a finite length cylindrical shell excited by an internal acoustic source: Solution based on a boundary element method and a matched asymptotic expansion. (English) Zbl 0981.74017 Flow Turbul. Combust. 61, No. 1-4, 71-83 (1999). Reviewer: D.Stanomir (Bucureşti) MSC: 74F10 74K25 76Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Ihlenburg, Frank; Shirron, Joseph Numerical and analytical resolution of different scales for efficient high fidelity simulation of acoustic scattering problems. (English) Zbl 0962.76088 Hackbusch, Wolfgang (ed.) et al., Numerical treatment of multi-scale problems. Proceedings of the 13th GAMM-seminar, Kiel, Germany, January 24-26, 1997. Braunschweig: Vieweg. Notes Numer. Fluid Mech. 70, 70-87 (1999). Reviewer: A.Trad (Paris) MSC: 76Q05 76M10 74F10 × Cite Format Result Cite Review PDF
McLaughlin, Joyce R.; Wang, Shixiao Recovery of a vertically stratified seabed in shallow water. (English) Zbl 0981.76083 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. 232-236 (1998). Reviewer: A.Trad (Paris) MSC: 76Q05 35R30 86A05 × Cite Format Result Cite Review PDF
Kress, Rainer Numerical methods in inverse obstacle scattering with reduced data. (English) Zbl 0940.65136 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. 34-43 (1998). MSC: 65N38 35J05 78A46 × Cite Format Result Cite Review PDF
Liu, Yingzhong; Liu, Hedong; Miao, Guoping; Zhang, Huaixing Numerical simulation on water waves by NS equations. (Chinese. English summary) Zbl 0962.76520 J. Shanghai Jiaotong Univ. (Chin. Ed.) 32, No. 11, 1-7 (1998). MSC: 76D33 76D05 76M99 × Cite Format Result Cite Review PDF
Liu, Xiao-Jin; Kako, Takashi Higher order radiation boundary condition and finite element method for scattering problem. (English) Zbl 0914.65106 Adv. Math. Sci. Appl. 8, No. 2, 801-819 (1998). Reviewer: M.Bernadou (Le Chesnay) MSC: 65N30 76Q05 35J05 65N45 × Cite Format Result Cite Review PDF
Jentsch, Lothar; Natroshvili, David; Wendland, Wolfgang L. Basic and mixed interface problems in the theory of elastic oscillations of anisotropic bodies. (English) Zbl 0913.73022 Bach, Michael (ed.) et al., Analysis, numerics and applications of differential and integral equations. Dedication to Wolfgang L. Wendland on the occasion of his 60th birthday. Harlow: Addison Wesley Longman. Pitman Res. Notes Math. Ser. 379, 116-121 (1998). Reviewer: D.Stanomir (Bucureşti) MSC: 74H45 74B99 74H99 74E10 × Cite Format Result Cite Review PDF
Sohankar, A.; Norberg, C.; Davidson, L. Low-Reynolds-number flow around a square cylinder at incidence: Study of blockage, onset of vortex shedding and outlet boundary condition. (English) Zbl 0910.76067 Int. J. Numer. Methods Fluids 26, No. 1, 39-56 (1998). MSC: 76M25 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Barcelo, J. A.; Ruiz, A.; Vega, L. Weighted estimates for the Helmholtz equation and some applications. (English) Zbl 0890.35028 J. Funct. Anal. 150, No. 2, 356-382 (1997). Reviewer: J.Chrastina (Brno) MSC: 35J05 35B45 × Cite Format Result Cite Review PDF Full Text: DOI
Leis, Rolf Initial-boundary value problems in mathematical physics. (English) Zbl 0887.35148 Meister, Erhard (ed.), Modern mathematical methods in diffraction theory and its applications in engineering. Proceedings of the Sommerfeld ’96 workshop. Freudenstadt, Germany. September 30–October 4, 1996. Frankfurt am Main: Peter Lang, Europ. Verlag der Wissenschaften. Methoden Verfahren Math. Phys. 42, 125-144 (1997). MSC: 35Q60 35Q72 35J05 × Cite Format Result Cite Review PDF
Natterer, Frank An initial value approach to the inverse Helmholtz problem at fixed frequency. (English) Zbl 0881.65130 Engl, Heinz W. (ed.) et al., Inverse Problems in medical imaging and nondestructive testing. Proceedings of the conference in Oberwolfach, Germany, February 4–10, 1996. Wien: Springer. 159-167 (1997). MSC: 65Z05 35J05 35R30 92C55 65M70 × Cite Format Result Cite Review PDF
Heinrich, J. C.; Idelsohn, S. R.; Oñate, E.; Vionnet, C. A. Boundary conditions for finite element simulations of convective flows with artificial boundaries. (English) Zbl 0869.76040 Int. J. Numer. Methods Eng. 39, No. 6, 1053-1071 (1996). MSC: 76M10 76R99 76D05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Luchini, Paolo; Tognaccini, Renato Direction-adaptive nonreflecting boundary conditions. (English) Zbl 0863.65047 J. Comput. Phys. 128, No. 1, 121-133 (1996). Reviewer: E.Schechter (Kaiserslautern) MSC: 65M06 35L05 × Cite Format Result Cite Review PDF Full Text: DOI
Anar, I. Ethem Time harmonic wave propagation in a nonhomogeneous medium. (English) Zbl 0870.35030 Bull. Korean Math. Soc. 33, No. 2, 177-186 (1996). MSC: 35J05 35C15 35P25 × Cite Format Result Cite Review PDF
Ramond, Thierry Semiclassical study of quantum scattering on the line. (English) Zbl 0848.34074 Commun. Math. Phys. 177, No. 1, 221-254 (1996). MSC: 34L40 81U05 34E20 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Liu, Xiao-jin; Kako, Takashi Numerical calculation of scattering state by means of higher order radiation boundary condition. (English) Zbl 0963.76077 RIMS Kokyuroku 944, 68-76 (1996). Reviewer: A.Trad (Paris) MSC: 76Q05 76M10 × Cite Format Result Cite Review PDF
Alekseev, G. V.; Komarov, E. G. An effective numerical method for the determination of wave fields in unbounded domains. (English. Russian original) Zbl 0894.65055 Dokl. Math. 54, No. 2, 780-784 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 350, No. 5, 595-599 (1996). MSC: 65N30 35J05 65F05 86A05 76Q05 × Cite Format Result Cite Review PDF
Xu, Yongzhi Radiation condition and scattering problem for time-harmonic acoustic waves in a stratified medium with a nonstratified inhomogeneity. (English) Zbl 0833.76070 IMA J. Appl. Math. 54, No. 1, 9-29 (1995). Reviewer: J.E.Ffowcs Williams (Cambridge) MSC: 76Q05 76V05 × Cite Format Result Cite Review PDF Full Text: DOI
Saito, Y. Radiation condition method in spectral and scattering theory. (English) Zbl 0841.35077 McBride, A. C. (ed.) et al., Recent developments in evolution equations. Proceedings of a meeting held at the University of Strathclyde, UK, 25-29 July, 1994. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 324, 18-31 (1995). MSC: 35P25 47A40 81Q10 × Cite Format Result Cite Review PDF
Heinrich, J. C.; Vionnet, C. A. On boundary conditions for unbounded flows. (English) Zbl 0818.76041 Commun. Numer. Methods Eng. 11, No. 2, 179-185 (1995). MSC: 76M10 76D05 76V05 × Cite Format Result Cite Review PDF Full Text: DOI
Cessenat, Michel Scattering of a stationary wave by a thin obstacle with a high conductivity. (English) Zbl 0870.35074 Cohen, Gary (ed.), Mathematical and numerical aspects of wave propagation. Proceedings of the third international conference, Mandelieu-La Napoule, France, April 24–28, 1995. Philadelphia, PA: Society for Industrial and Applied Mathematics. 431-438 (1995). MSC: 35P25 35J05 × Cite Format Result Cite Review PDF
Voros, André Exact quantization condition for anharmonic oscillators (in one dimension). (English) Zbl 0842.34090 J. Phys. A, Math. Gen. 27, No. 13, 4653-4661 (1994). MSC: 34L40 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Bezmenov, I. V. A method for the numerical solution of an interior problem for the Helmholtz equation with transmissivity conditions of variational type on an artificial boundary. (English. Russian original) Zbl 0840.65105 Russ. Acad. Sci., Dokl., Math. 49, No. 1, 101-106 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 334, No. 4, 413-415 (1994). Reviewer: S.L.Svensson (Lund) MSC: 65N06 35J05 35Q60 78A40 × Cite Format Result Cite Review PDF
Zhou, Zhili; Dai, Yishan An analytical solution of second-order wave force on a vertical circular cylinder. (English) Zbl 0815.76017 Appl. Math. Mech., Engl. Ed. 15, No. 9, 849-863 (1994). MSC: 76B15 × Cite Format Result Cite Review PDF Full Text: DOI
Gorenflo, Norbert An exact far-field inversion for the Born approximation and plane wave decompositions for Hankel functions. (English) Zbl 0811.35161 Z. Angew. Math. Phys. 45, No. 5, 784-793 (1994). MSC: 35R30 35P25 35C10 × Cite Format Result Cite Review PDF Full Text: DOI
Betz, C.; Gzyl, H. Hitting spheres with Brownian motion and Sommerfeld’s radiation condition. (English) Zbl 0792.35109 J. Math. Anal. Appl. 182, No. 2, 301-308 (1994). MSC: 35L20 60H30 60J65 × Cite Format Result Cite Review PDF Full Text: DOI
Johnsen, Matthias; Lynch, Daniel R. A second-order radiation boundary condition for the shallow water wave equations on two-dimensional unstructured finite element grids. (English) Zbl 0794.76046 Int. J. Numer. Methods Fluids 18, No. 6, 575-604 (1994). MSC: 76M10 76B15 × Cite Format Result Cite Review PDF Full Text: DOI
Bezmenov, I. V. A new method for transferring the Sommerfeld radiation conditions to an artificial boundary of a domain, based on a variational principle. (English. Russian original) Zbl 0821.35032 Russ. Acad. Sci., Dokl., Math. 47, No. 3, 399-403 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 330, No. 2, 137-139 (1993). MSC: 35J05 35B05 35B40 × Cite Format Result Cite Review PDF
Isozaki, Hiroshi A generalization of the radiation condition of Sommerfeld for \(N\)-body Schrödinger operators. (English) Zbl 0804.35113 Journ. Équ. Dériv. Partielles, St.-Jean-de-Monts 1993, No. 11, 9 p. (1993). Reviewer: L.-I.Anita (Iaşi) MSC: 35Q40 35A27 35J10 81V70 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Nazarenko, Yu. B. Diffraction of spherical waves by a cylindrical cavity reinforced with a stiff shell. (English. Russian original) Zbl 0791.73025 J. Appl. Math. Mech. 57, No. 4, 685-690 (1993); translation from Prikl. Mat. Mekh. 57, No. 4, 98-103 (1993). MSC: 74J20 74K15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, L.; Li, C. W. Error study on numerical approximation of radiation boundary condition for one-dimensional wave equation. (English) Zbl 0780.65059 Commun. Numer. Methods Eng. 9, No. 6, 475-482 (1993). Reviewer: P.Y.Yalamov (Russe) MSC: 65M15 65M06 35L05 × Cite Format Result Cite Review PDF Full Text: DOI
Shrira, Victor I. Surface waves on shear currents: Solution of the boundary value problem. (English) Zbl 0786.76012 J. Fluid Mech. 252, 565-584 (1993). Reviewer: B.A.Malomed (Ramat Aviv) MSC: 76B15 76B45 86A05 76E05 34B30 × Cite Format Result Cite Review PDF Full Text: DOI
Bachelot, Alain; Nicolas, Jean-Philippe Nonlinear Klein Gordon equation on Schwarzschild type metric. (Équation non linéaire de Klein-Gordon dans des métriques de type Schwarzschild.) (French) Zbl 0776.35052 C. R. Acad. Sci., Paris, Sér. I 316, No. 10, 1047-1050 (1993). MSC: 35Q40 83F05 53Z05 × Cite Format Result Cite Review PDF
Villarroel, Javier; Ablowitz, Mark J. On the inverse scattering transform of the 2+1 Toda equation. (English) Zbl 0771.35065 Physica D 65, No. 1-2, 48-70 (1993). MSC: 35Q53 58J72 35R30 39A12 × Cite Format Result Cite Review PDF Full Text: DOI
Gadyl’shin, R. R. The method of matched asymptotic expansions in the problem of the Helmholtz acoustic resonator. (English. Russian original) Zbl 0786.76075 J. Appl. Math. Mech. 56, No. 3, 340-345 (1992); translation from Prikl. Mat. Mekh. 56, No. 3, 412-418 (1992). MSC: 76Q05 35C20 × Cite Format Result Cite Review PDF Full Text: DOI
Schot, Steven H. Eighty years of Sommerfeld’s radiation condition. (English) Zbl 0763.01020 Hist. Math. 19, No. 4, 385-401 (1992). Reviewer: S.L.Segal (Rochester) MSC: 01A60 78A40 35-03 × Cite Format Result Cite Review PDF Full Text: DOI
Ola, Petri Transmission problems for the scalar and vector Helmholtz operators in domains having wedges. (English) Zbl 0725.35038 Annales Academiæ Scientiarum Fennicæ, Series A I, Mathematica Dissertationes, 76. Helsinki: Suomalainen Tiedeakatemia; Helsinki: Univ. Helsinki, Fac. of Sciences, Thesis. 32 p. (1990). Reviewer: J.Hernandez (Madrid) MSC: 35J05 35S15 45A05 × Cite Format Result Cite Review PDF
Weck, N.; Witsch, K. J. The low frequency limit of the exterior Dirichlet problem for the reduced wave equation. (English) Zbl 0724.35011 Appl. Anal. 38, No. 1-2, 33-43 (1990). Reviewer: V.Isakov (Wichita) MSC: 35B30 35J05 35A08 35B50 × Cite Format Result Cite Review PDF Full Text: DOI
Erēn, Yu. A.; Sveshnikov, A. G. An iterative method of quasi-solution in problems of diffraction by dielectric bodies. (English. Russian original) Zbl 0721.65078 U.S.S.R. Comput. Math. Math. Phys. 30, No. 1, 74-79 (1990); translation from Zh. Vychisl. Mat. Mat. Fiz. 30, No. 1, 99-106 (1990). MSC: 65Z05 65R20 65N38 35Q60 35J05 78A40 78A45 78M20 35C15 × Cite Format Result Cite Review PDF Full Text: DOI