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Работы, на которые ссылается эта работа

Работ: 45

Работа: Transparent boundary conditions for the stationary Schrödinger equation via Weyl–Titchmarsh theory<sup>*</sup>

  1. Transparent quantum graphs

    Jambul Yusupov, K.K. Sabirov, Matthias Ehrhardt +1

    СтатьяSpectral Theory in Mathematical PhysicsPhysics Letters A2019Цитирований: 20
    ABI

  2. Solitons in conducting polymers

    Alan J. Heeger, Steven A. Kivelson, J. R. Schrieffer +1

    Статья1988Цитирований: 16
    ABI

  3. Exciton dynamics in branched conducting polymers: Quantum graphs based approach

    Jambul Yusupov, Kh. Sh. Matyokubov, K.K. Sabirov +1

    СтатьяQuantum optics and atomic interactionsChemical Physics2020Цитирований: 13
    ABI

  4. <i>Colloquium</i>: Topological insulators

    M. Zahid Hasan, C. L. Kane

    Статья2010Цитирований: 9
    ABI

  5. Discrete Transparent Boundary Conditions for Wide Angle Parabolic Equations in Underwater Acoustics

    Anton Arnold, Matthias Ehrhardt

    Статья1998Цитирований: 8
    ABI

  6. Absorbing Boundary Conditions for Solving N-Dimensional Stationary Schrödinger Equations with Unbounded Potentials and Nonlinearities

    Pauline Klein, Xavier Antoine, Christophe Besse +1

    Статья2011Цитирований: 8
    ABI

  7. Discrete Transparent Boundary Conditions for GeneralSchrödinger‐type Equations

    Matthias Ehrhardt

    Статья1998Цитирований: 7
    ABI

  8. Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations

    Xavier Antoine, Christophe Besse, Stéphane Descombes

    Статья2006Цитирований: 7
    ABI

  9. Nobel Lecture: Semiconducting and metallic polymers: The fourth generation of polymeric materials

    Alan J. Heeger

    Статья2001Цитирований: 6
    ABI

  10. Discrete artificial boundary conditions for nonlinear Schrödinger equations

    Andrea Zisowsky, Matthias Ehrhardt

    Статья2007Цитирований: 6
    ABI

  11. Absorbing boundary conditions for the numerical simulation of waves

    Björn Engquist, Andrew J. Majda

    Статья1977Цитирований: 5
    ABI

  12. A dispersion and norm preserving finite difference scheme with transparent boundary conditions for the Dirac equation in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>D

    René Hammer, W. Pötz, Anton Arnold

    Статья2013Цитирований: 5
    ABI

  13. Radiation boundary conditions for acoustic and elastic wave calculations

    Björn Engquist, Andrew J. Majda

    Статья1979Цитирований: 4
    ABI

  14. An analysis of the finite-difference method for one-dimensional Klein–Gordon equation on unbounded domain

    Houde Han, Zhiwen Zhang

    Статья2008Цитирований: 4
    ABI

  15. Local absorbing boundary conditions for nonlinear wave equation on unbounded domain

    Hongwei Li, Xiaonan Wu, Jiwei Zhang

    Статья2011Цитирований: 3
    ABI

  16. Numerical Solution to the Sine-Gordon Equation Defined on the Whole Real Axis

    Chunxiong Zheng

    Статья2007Цитирований: 3
    ABI

  17. Absorbing boundary conditions for the wave equation and parallel computing

    Martin J. Gander, Laurence Halpern

    Статья2004Цитирований: 3
    ABI

  18. A friendly review of absorbing boundary conditions and perfectly matched layers for classical and relativistic quantum waves equations

    Xavier Antoine, Emmanuel Lorin, Qiao Tang

    Обзорная статья2017Цитирований: 3
    ABI

  19. Particle transport in a network of quantum harmonic oscillators

    Jambul Yusupov, Kh. Sh. Matyokubov, K.K. Sabirov

    СтатьяQuantum and electron transport phenomenaNanosystems Physics Chemistry Mathematics2020Цитирований: 3
    ABI

  20. Non-reflecting boundary conditions

    Dan Givoli

    Статья1991Цитирований: 2
    ABI

  21. Boundary Value Problems for Operator Differential Equations

    В. И. Горбачук, М. Л. Горбачук

    Книга1991Цитирований: 2
    ABI

  22. Unified approach to split absorbing boundary conditions for nonlinear Schrödinger equations: Two-dimensional case

    Jiwei Zhang, Zhenli Xu, Xiaonan Wu

    Статья2009Цитирований: 2
    ABI

  23. Absorbing boundary conditions for nonlinear Schrödinger equations

    Zhenli Xu, Houde Han

    Статья2006Цитирований: 2
    ABI

  24. Generalized resolvents and the boundary value problems for Hermitian operators with gaps

    Volodymyr Derkach, M. M. Malamud

    Статья1991Цитирований: 2
    ABI

  25. High-Order Local Absorbing Boundary Conditions for Heat Equation in Unbounded Domains

    Xiaonan Wu, Jiwei Zhang

    Статья2010Цитирований: 2
    ABI