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Works cited by this work

45 works

Work: 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

    ArticleSpectral Theory in Mathematical PhysicsPhysics Letters A201920 citations
    ABI

  2. Solitons in conducting polymers

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

    Article198816 citations
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  3. Exciton dynamics in branched conducting polymers: Quantum graphs based approach

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

    ArticleQuantum optics and atomic interactionsChemical Physics202013 citations
    ABI

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

    M. Zahid Hasan, C. L. Kane

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

    Anton Arnold, Matthias Ehrhardt

    Article19988 citations
    ABI

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

    Pauline Klein, Xavier Antoine, Christophe Besse +1

    Article20118 citations
    ABI

  7. Discrete Transparent Boundary Conditions for GeneralSchrödinger‐type Equations

    Matthias Ehrhardt

    Article19987 citations
    ABI

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

    Xavier Antoine, Christophe Besse, Stéphane Descombes

    Article20067 citations
    ABI

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

    Alan J. Heeger

    Article20016 citations
    ABI

  10. Discrete artificial boundary conditions for nonlinear Schrödinger equations

    Andrea Zisowsky, Matthias Ehrhardt

    Article20076 citations
    ABI

  11. Absorbing boundary conditions for the numerical simulation of waves

    Björn Engquist, Andrew J. Majda

    Article19775 citations
    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

    Article20135 citations
    ABI

  13. Radiation boundary conditions for acoustic and elastic wave calculations

    Björn Engquist, Andrew J. Majda

    Article19794 citations
    ABI

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

    Houde Han, Zhiwen Zhang

    Article20084 citations
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  15. Local absorbing boundary conditions for nonlinear wave equation on unbounded domain

    Hongwei Li, Xiaonan Wu, Jiwei Zhang

    Article20113 citations
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  16. Numerical Solution to the Sine-Gordon Equation Defined on the Whole Real Axis

    Chunxiong Zheng

    Article20073 citations
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  17. Absorbing boundary conditions for the wave equation and parallel computing

    Martin J. Gander, Laurence Halpern

    Article20043 citations
    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

    Review article20173 citations
    ABI

  19. Particle transport in a network of quantum harmonic oscillators

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

    ArticleQuantum and electron transport phenomenaNanosystems Physics Chemistry Mathematics20203 citations
    ABI

  20. Non-reflecting boundary conditions

    Dan Givoli

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  21. Boundary Value Problems for Operator Differential Equations

    В. И. Горбачук, М. Л. Горбачук

    Book19912 citations
    ABI

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

    Jiwei Zhang, Zhenli Xu, Xiaonan Wu

    Article20092 citations
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  23. Absorbing boundary conditions for nonlinear Schrödinger equations

    Zhenli Xu, Houde Han

    Article20062 citations
    ABI

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

    Volodymyr Derkach, M. M. Malamud

    Article19912 citations
    ABI

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

    Xiaonan Wu, Jiwei Zhang

    Article20102 citations
    ABI