Edit Profile (opens in new tab) Tsvetkova, Anna V. Co-Author Distance Author ID: tsvetkova.anna-v Published as: Tsvetkova, A. V.; Tsvetkova, Anna V. Documents Indexed: 25 Publications since 2014 Co-Authors: 9 Co-Authors with 24 Joint Publications 434 Co-Co-Authors all top 5 Co-Authors 1 single-authored 12 Dobrokhotov, Sergei Yurievich 8 Shafarevich, Andreĭ Igorevich 7 Nazaikinskii, Vladimir E. 5 Anikin, A. Yu. 2 Brezhnev, Yurii V. 1 Aptekarev, Alexander Ivanovich 1 Chernyshev, Vsevolod L. 1 Klevin, A. I. 1 Tulyakov, Dmitrii N. all top 5 Serials 9 Russian Journal of Mathematical Physics 7 Mathematical Notes 2 Theoretical and Mathematical Physics 2 Proceedings of the Steklov Institute of Mathematics 1 Transactions of the Moscow Mathematical Society 1 Physica D 1 St. Petersburg Mathematical Journal 1 Izvestiya: Mathematics 1 Differential Equations all top 5 Fields 16 Partial differential equations (35-XX) 6 Special functions (33-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Quantum theory (81-XX) 3 Ordinary differential equations (34-XX) 3 Fluid mechanics (76-XX) 2 Algebraic geometry (14-XX) 2 Difference and functional equations (39-XX) 1 Combinatorics (05-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 17 Publications have been cited 77 times in 47 Documents Cited by ▼ Year ▼ Uniform asymptotic solution in the form of an Airy function for semiclassical bound states in one-dimensional and radially symmetric problems. Zbl 1441.81091 Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V. 21 2019 Lagrangian manifolds related to the asymptotics of Hermite polynomials. Zbl 1409.42019 Dobrokhotov, S. Yu.; Tsvetkova, A. V. 12 2018 The Cauchy problem for the wave equation on homogeneous trees. Zbl 1364.35404 Tsvetkova, A. V.; Shafarevich, A. I. 6 2016 Asymptotics, related to billiards with semi-rigid walls, of eigenfunctions of the \(\nabla D(x)\nabla\) operator in dimension 2 and trapped coastal waves. Zbl 1426.37049 Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V. 5 2019 Solutions of the wave equation on hybrid spaces of constant curvature. Zbl 1320.35178 Shafarevich, A. I.; Tsvetkova, A. V. 4 2014 Distribution of energy of solutions of the wave equation on singular spaces of constant curvature and on a homogeneous tree. Zbl 1364.35403 Tsvetkova, A. V. 4 2016 Airy functions and transition between semiclassical and harmonic oscillator approximations for one-dimensional bound states. Zbl 1453.81024 Anikin, A. Yu.; Dobrokhotov, S. Yu.; Tsvetkova, A. V. 4 2020 Localized asymptotic solution of the wave equation with a radially symmetric velocity on a simplest decorated graph. Zbl 1402.35076 Shafarevich, A. I.; Tsvetkova, A. V. 4 2018 An approach to finding the asymptotics of polynomials given by recurrence relations. Zbl 1467.42041 Dobrokhotov, S. Yu.; Tsvetkova, A. V. 3 2021 Cauchy problem for the wave equation on the simplest decorated graph with initial conditions localized on a surface. Zbl 1418.35255 Shafarevich, A. I.; Tsvetkova, A. V. 3 2019 Asymptotic eigenfunctions of the operator \(\nabla D(x)\nabla\) defined in a two-dimensional domain and degenerating on its boundary and billiards with semi-rigid walls. Zbl 1418.37094 Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V. 3 2019 Nonstandard Liouville tori and caustics in asymptotics in the form of Airy and Bessel functions for 2D standing coastal waves. Zbl 1485.35307 Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V. 2 2022 Localized asymptotic solution of a variable-velocity wave equation on the simplest decorated graph. Zbl 1440.35205 Tsvetkova, A. V.; Shafarevich, A. I. 2 2020 Global asymptotics for functions of parabolic cylinder and solutions of the Schrödinger equation with a potential in the form of a nonsmooth double well. Zbl 1522.81078 Dobrokhotov, S. Yu.; Tsvetkova, A. V. 1 2023 Asymptotics of the solution of a wave equation with radially symmetric velocity on the simplest decorated graph with arbitrary boundary conditions at the gluing point. Zbl 1442.35041 Tsvetkova, A. V.; Shafarevich, A. I. 1 2020 Plancherel-Rotach type asymptotic formulae for multiple orthogonal Hermite polynomials and recurrence relations. Zbl 1510.33008 Aptekarev, Alexander I.; Dobrokhotov, Sergey Yu.; Tulyakov, Dmitrii N.; Tsvetkova, Anna V. 1 2022 One approach to the computation of asymptotics of integrals of rapidly varying functions. Zbl 1397.42004 Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, Anna V. 1 2018 Global asymptotics for functions of parabolic cylinder and solutions of the Schrödinger equation with a potential in the form of a nonsmooth double well. Zbl 1522.81078 Dobrokhotov, S. Yu.; Tsvetkova, A. V. 1 2023 Nonstandard Liouville tori and caustics in asymptotics in the form of Airy and Bessel functions for 2D standing coastal waves. Zbl 1485.35307 Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V. 2 2022 Plancherel-Rotach type asymptotic formulae for multiple orthogonal Hermite polynomials and recurrence relations. Zbl 1510.33008 Aptekarev, Alexander I.; Dobrokhotov, Sergey Yu.; Tulyakov, Dmitrii N.; Tsvetkova, Anna V. 1 2022 An approach to finding the asymptotics of polynomials given by recurrence relations. Zbl 1467.42041 Dobrokhotov, S. Yu.; Tsvetkova, A. V. 3 2021 Airy functions and transition between semiclassical and harmonic oscillator approximations for one-dimensional bound states. Zbl 1453.81024 Anikin, A. Yu.; Dobrokhotov, S. Yu.; Tsvetkova, A. V. 4 2020 Localized asymptotic solution of a variable-velocity wave equation on the simplest decorated graph. Zbl 1440.35205 Tsvetkova, A. V.; Shafarevich, A. I. 2 2020 Asymptotics of the solution of a wave equation with radially symmetric velocity on the simplest decorated graph with arbitrary boundary conditions at the gluing point. Zbl 1442.35041 Tsvetkova, A. V.; Shafarevich, A. I. 1 2020 Uniform asymptotic solution in the form of an Airy function for semiclassical bound states in one-dimensional and radially symmetric problems. Zbl 1441.81091 Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V. 21 2019 Asymptotics, related to billiards with semi-rigid walls, of eigenfunctions of the \(\nabla D(x)\nabla\) operator in dimension 2 and trapped coastal waves. Zbl 1426.37049 Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V. 5 2019 Cauchy problem for the wave equation on the simplest decorated graph with initial conditions localized on a surface. Zbl 1418.35255 Shafarevich, A. I.; Tsvetkova, A. V. 3 2019 Asymptotic eigenfunctions of the operator \(\nabla D(x)\nabla\) defined in a two-dimensional domain and degenerating on its boundary and billiards with semi-rigid walls. Zbl 1418.37094 Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V. 3 2019 Lagrangian manifolds related to the asymptotics of Hermite polynomials. Zbl 1409.42019 Dobrokhotov, S. Yu.; Tsvetkova, A. V. 12 2018 Localized asymptotic solution of the wave equation with a radially symmetric velocity on a simplest decorated graph. Zbl 1402.35076 Shafarevich, A. I.; Tsvetkova, A. V. 4 2018 One approach to the computation of asymptotics of integrals of rapidly varying functions. Zbl 1397.42004 Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, Anna V. 1 2018 The Cauchy problem for the wave equation on homogeneous trees. Zbl 1364.35404 Tsvetkova, A. V.; Shafarevich, A. I. 6 2016 Distribution of energy of solutions of the wave equation on singular spaces of constant curvature and on a homogeneous tree. Zbl 1364.35403 Tsvetkova, A. V. 4 2016 Solutions of the wave equation on hybrid spaces of constant curvature. Zbl 1320.35178 Shafarevich, A. I.; Tsvetkova, A. V. 4 2014 all cited Publications top 5 cited Publications all top 5 Cited by 30 Authors 17 Dobrokhotov, Sergei Yurievich 17 Tsvetkova, Anna V. 10 Shafarevich, Andreĭ Igorevich 9 Nazaikinskii, Vladimir E. 5 Anikin, A. Yu. 4 Klevin, A. I. 3 Fedotov, Alexander 3 Tolchennikov, Anton A. 2 Allilueva, Anna I. 2 Khujakulov, J. R. 2 Klopp, Frédéric 2 Minenkov, Dmitrii S. 2 Sergeev, Sergeĭ Alekseevich 2 Sobirov, Zarifboĭ Akhmedovich 1 Abdullaev, Obidjon Khayrullayevich 1 Aptekarev, Alexander Ivanovich 1 Bova, J. I. 1 Chernyshev, Vsevolod L. 1 Dymov, Andrey V. 1 Katsnelson, Mikhail I. 1 Levin, Sergei B. 1 Lukin, Dmitry S. 1 Reijnders, K. J. A. 1 Rouleux, Michel 1 Rykhlov, V. V. 1 Shchetka, Ekaterina 1 Shkalikov, Andreĭ Andreevich 1 Tulyakov, Dmitrii N. 1 Turemuratova, Ariukhan Abatbaevna 1 Zlobina, Ekaterina A. all top 5 Cited in 14 Serials 17 Russian Journal of Mathematical Physics 9 Mathematical Notes 5 Theoretical and Mathematical Physics 3 Proceedings of the Steklov Institute of Mathematics 2 Applicable Analysis 2 St. Petersburg Mathematical Journal 1 Russian Mathematical Surveys 1 Transactions of the Moscow Mathematical Society 1 Annals of Physics 1 SIAM Journal on Mathematical Analysis 1 Izvestiya: Mathematics 1 Differential Equations 1 Differential Equations and Applications 1 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal all top 5 Cited in 19 Fields 28 Partial differential equations (35-XX) 18 Quantum theory (81-XX) 12 Special functions (33-XX) 8 Ordinary differential equations (34-XX) 8 Difference and functional equations (39-XX) 5 Differential geometry (53-XX) 4 Mechanics of particles and systems (70-XX) 4 Fluid mechanics (76-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Optics, electromagnetic theory (78-XX) 2 Algebraic geometry (14-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year