Tsvetkova Anna Valerievna

Publications in Math-Net.Ru

1. Lagrangian Manifolds in the Theory of Wave Beams and Solutions of the Helmholtz Equation
   
   Regul. Chaotic Dyn., 29:6 (2024),  866–885
2. Nonlinear Effects and Run-up of Coastal Waves Generated by Billiards with Semi-rigid Walls in the Framework of Shallow Water Theory
   
   Trudy Mat. Inst. Steklova, 322 (2023),  111–123
3. Plancherel–Rotach type asymptotic formulae for multiple orthogonal Hermite polynomials and recurrence relations
   
   Izv. RAN. Ser. Mat., 86:1 (2022),  36–97
4. Nonstandard Liouville tori and caustics in asymptotics in the form of Airy and Bessel functions for two-dimensional standing coastal waves
   
   Algebra i Analiz, 33:2 (2021),  5–34
5. The wave equation with symmetric velocity on the hybrid manifold obtained by gluing a ray to a three-dimensional sphere
   
   Tr. Mosk. Mat. Obs., 82:2 (2021),  369–392
6. Localized Asymptotic Solution of a Variable-Velocity Wave Equation on the Simplest Decorated Graph with Initial Conditions on a Surface
   
   Mat. Zametki, 108:4 (2020),  601–616
7. 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
   
   Mat. Zametki, 107:3 (2020),  442–453
8. Localized Asymptotic Solution of a Variable-Velocity Wave Equation on the Simplest Decorated Graph
   
   Trudy Mat. Inst. Steklova, 308 (2020),  265–275
9. Airy function and transition between the semiclassical and harmonic oscillator approximations for one-dimensional bound states
   
   TMF, 204:2 (2020),  171–180
10. 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
    
    Differ. Uravn., 55:5 (2019),  660–672
11. On Hamiltonian Systems Integrable in Elliptic Functions That Describe Waves over Underwater Banks and Ridges
    
    Mat. Zametki, 105:6 (2019),  926–931
12. Asymptotics, Related to Billiards with Semi-Rigid Walls, of Eigenfunctions of the $\nabla D(x)\nabla$ Operator in Dimension 2 and Trapped Coastal Waves
    
    Mat. Zametki, 105:5 (2019),  792–797
13. Uniform asymptotic solution in the form of an Airy function for semiclassical bound states in one-dimensional and radially symmetric problems
    
    TMF, 201:3 (2019),  382–414
14. Lagrangian Manifolds Related to the Asymptotics of Hermite Polynomials
    
    Mat. Zametki, 104:6 (2018),  835–850
15. One Approach to the Computation of Asymptotics of Integrals of Rapidly Varying Functions
    
    Mat. Zametki, 103:5 (2018),  680–692
16. The Cauchy Problem for the Wave Equation on Homogeneous Trees
    
    Mat. Zametki, 100:6 (2016),  923–931