35 citations to https://www.mathnet.ru/rus/zvmmf8509
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Matthew Jacobs, Songting Luo, “Numerical solutions for point-source high frequency Helmholtz equation through efficient time propagators for Schrödinger equation”, Journal of Computational Physics, 438 (2021), 110357
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S. G. Pyatkov, L. V. Neustroeva, “On some asymptotic representations of solutions to elliptic equations and their applications”, Complex Variables and Elliptic Equations, 66:6-7 (2021), 964
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Matthew Jacobs, Songting Luo, “Asymptotic Solutions for High Frequency Helmholtz Equations in Anisotropic Media with Hankel Functions”, J Sci Comput, 80:2 (2019), 808
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В. М. Бабич, “Задача о точечном источнике электромагнитных колебаний в случае неоднородной среды (высокочастотный анзац и двойственное ему нестационарное сингулярное решение)”, Математические вопросы теории распространения волн. 48, Посвящается памяти Александра Павловича КАЧАЛОВА, Зап. научн. сем. ПОМИ, 471, ПОМИ, СПб., 2018, 7–14 ; V. M. Babich, “The point-source of electromagnetic waves in the case of nonhomogeneous media (high-frequency ansatz and dual to him singular solution)”, J. Math. Sci. (N. Y.), 243:5 (2019), 634–639
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Jun Fang, Jianliang Qian, Leonardo Zepeda-Núñez, Hongkai Zhao, “A hybrid approach to solve the high-frequency Helmholtz equation with source singularity in smooth heterogeneous media”, Journal of Computational Physics, 371 (2018), 261
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Wangtao Lu, Jianliang Qian, Robert Burridge, “Extending Babich's Ansatz for Point-Source Maxwell's Equations Using Hadamard's Method”, Multiscale Model. Simul., 16:2 (2018), 727
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Jun Fang, Jianliang Qian, Leonardo Zepeda-Núñez, Hongkai Zhao, “Learning dominant wave directions for plane wave methods for high-frequency Helmholtz equations”, Res Math Sci, 4:1 (2017)
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Wangtao Lu, Jianliang Qian, Robert Burridge, “Babich-Like Ansatz for Three-Dimensional Point-Source Maxwell's Equations in an Inhomogeneous Medium at High Frequencies”, Multiscale Model. Simul., 14:3 (2016), 1089
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Wangtao Lu, Jianliang Qian, Robert Burridge, “Babich's expansion and the fast Huygens sweeping method for the Helmholtz wave equation at high frequencies”, Journal of Computational Physics, 313 (2016), 478
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Jianliang Qian, Lijun Yuan, Yuan Liu, Songting Luo, Robert Burridge, “Babich's Expansion and High-Order Eulerian Asymptotics for Point-Source Helmholtz Equations”, J Sci Comput, 67:3 (2016), 883