И. А. Богаевский, С. Ю. Доброхотов, А. А. Толченников, “Лагранжева особенность Арнольда в асимптотике решения модельного двумерного уравнения Гельмгольца с локализованной правой частью”, ТМФ, 218:1 (2024), 23–47 ; I. A. Bogaevsky, S. Yu. Dobrokhotov, A. A. Tolchennikov, “Arnold Lagrangian singularity in the asymptotics of the solution of a model two-dimensional Helmholtz equation with a localized right-hand side”, Theoret. and Math. Phys., 218:1 (2024), 19–40
Yuxiao Wei, Jin Cheng, Robert Burridge, Jianliang Qian, “Hadamard integrator for time-dependent wave equations: Lagrangian formulation via ray tracing”, Journal of Computational Physics, 497 (2024), 112637
Yuxiao Wei, Jin Cheng, Shingyu Leung, Robert Burridge, Jianliang Qian, “Hadamard Integrators for Wave Equations in Time and Frequency Domain: Eulerian Formulations via Butterfly Algorithms”, J Sci Comput, 100:3 (2024)
А. Ю. Аникин, С. Ю. Доброхотов, В. Е. Назайкинский, М. Руло, “Лагранжевы многообразия и конструкция асимптотик для (псевдо)дифференциальных уравнений с локализованными правыми частями”, ТМФ, 214:1 (2023), 3–29 ; A. Yu. Anikin, S. Yu. Dobrokhotov, V. E. Nazaikinskii, M. Rouleux, “Lagrangian manifolds and the construction of asymptotics for (pseudo)differential equations with localized right-hand sides”, Theoret. and Math. Phys., 214:1 (2023), 1–23
С. Т. Гатауллин, Т. М. Гатауллин, “К задаче о точечном источнике в неоднородной среде”, Матем. заметки, 114:6 (2023), 822–826 ; S. T. Gataullin, T. M. Gataullin, “To the Problem of a Point Source in an Inhomogeneous Medium”, Math. Notes, 114:6 (2023), 1212–1216
Songting Luo, Qing Huo Liu, “A fixed-point iteration method for high frequency vector wave equations”, Journal of Computational Physics, 490 (2023), 112306
Yang Liu, Jian Song, Robert Burridge, Jianliang Qian, “A Fast Butterfly-Compressed Hadamard–Babich Integrator for High-Frequency Helmholtz Equations in Inhomogeneous Media with Arbitrary Sources”, Multiscale Model. Simul., 21:1 (2023), 269
Tak Shing Au Yeung, Ka Chun Cheung, Eric T. Chung, Shubin Fu, Jianliang Qian, “Learning rays via deep neural network in a ray-based IPDG method for high-frequency Helmholtz equations in inhomogeneous media”, Journal of Computational Physics, 465 (2022), 111380
Songting Luo, Qing Huo Liu, “A Fixed-Point Iteration Method for High Frequency Helmholtz Equations”, J Sci Comput, 93:3 (2022)
Jianliang Qian, Jian Song, Wangtao Lu, Robert Burridge, “Hadamard–Babich Ansatz for Point-Source Elastic Wave Equations in Variable Media at High Frequencies”, Multiscale Model. Simul., 19:1 (2021), 46