Search Results - polynomial kernel method

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  1. 1

    Kernel polynomial method as an efficient O(N2) scheme for optical spectra calculations including electron-hole interaction by Gordienko, A. B., Filippov, S. I.

    ISSN: 0370-1972, 1521-3951
    Published: Blackwell Publishing Ltd 01.03.2014
    Published in physica status solidi (b) (01.03.2014)
    “…The kernel polynomial method (KPM) is shown to be an efficient tool to handle the computationally demanding task of optical spectra calculations including electron…”
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    Journal Article
  2. 2

    The kernel polynomial method by Weiße, Alexander, Wellein, Gerhard, Alvermann, Andreas, Fehske, Holger

    ISSN: 0034-6861, 1539-0756
    Published: 01.01.2006
    Published in Reviews of modern physics (01.01.2006)
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    Journal Article
  3. 3

    Kernel polynomial method to Anderson transition in disordered β-graphyne by Wang

    ISSN: 1607-324X, 2224-9079
    Published: Yukhnovskii Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine 01.09.2020
    Published in Condensed matter physics (01.09.2020)
    “…By means of variable moment kernel polynomial method, we analyze the localization properties of β…”
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    Journal Article
  4. 4

    A spectrum adaptive kernel polynomial method by Chen, Tyler

    ISSN: 1089-7690, 1089-7690
    Published: 21.09.2023
    Published in The Journal of chemical physics (21.09.2023)
    “…The kernel polynomial method (KPM) is a powerful numerical method for approximating spectral densities…”
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    Journal Article
  5. 5

    The kernel polynomial method based on Jacobi polynomials by Raikov, I.O., Beltukov, Y.M.

    ISSN: 0096-3003
    Published: Elsevier Inc 01.04.2025
    Published in Applied mathematics and computation (01.04.2025)
    “…The kernel polynomial method based on Jacobi polynomials Pn(α,β)(x) is proposed. The optimal-resolution positivity-preserving kernels and the corresponding damping factors are calculated…”
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    Journal Article
  6. 6

    Kernel polynomial method as an efficient () scheme for optical spectra calculations including electron–hole interaction by Gordienko, A. B., Filippov, S. I.

    ISSN: 0370-1972, 1521-3951
    Published: 01.03.2014
    “…The kernel polynomial method (KPM) is shown to be an efficient tool to handle the computationally demanding task of optical spectra calculations including electron-hole interaction via solution of the Bethe-Salpeter equation…”
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    Journal Article
  7. 7

    Chebyshev kernel polynomial method for efficient calculation of the quasiparticle random phase approximation response function by Bjelčić, A., Nikšić, T., Drmač, Z.

    ISSN: 0010-4655, 1879-2944
    Published: Elsevier B.V 01.11.2022
    Published in Computer physics communications (01.11.2022)
    “… In this paper we present an implementation of the algorithm based on the expansion of the response function in terms of the Chebyshev polynomials in conjunction with the kernel polynomial method…”
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    Journal Article
  8. 8

    Kernel polynomial method for linear spin wave theory by Lane, Harry, Zhang, Hao, Dahlbom, David, Quinn, Sam, Somma, Rolando, Mourigal, Martin, Batista, Christian D., Barros, Kipton

    ISSN: 2542-4653, 2542-4653
    Published: United States SciPost Foundation 01.11.2024
    Published in SciPost physics (01.11.2024)
    “… In this paper, we demonstrate an efficient scheme based on the kernel polynomial method for calculating dynamical correlations of relevance to inelastic neutron scattering experiments…”
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    Journal Article
  9. 9

    Fractional convection-diffusion systems in complex 2D and 3D geometries: A Bernoulli polynomial-based kernel method by Fardi, Mojtaba, Zaky, Mahmoud A., Azarnavid, Babak

    ISSN: 0168-9274
    Published: Elsevier B.V 01.12.2025
    Published in Applied numerical mathematics (01.12.2025)
    “… The proposed approach combines spatial discretization using a Bernoulli polynomial kernel function with temporal discretization via the backward differentiation formula…”
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    Journal Article
  10. 10

    Efficient polynomial kernel-based method for multi-term time-fractional diffusion systems in regular and irregular domains by Azarnavid, Babak, Fardi, Mojtaba, Emami, Hojjat

    ISSN: 0960-0779
    Published: Elsevier Ltd 01.10.2025
    Published in Chaos, solitons and fractals (01.10.2025)
    “…This paper presents an efficient polynomial kernel-based method for solving multi-term nonlinear time-fractional diffusion systems in high-dimensional regular and irregular domains…”
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    Journal Article
  11. 11

    Scalable kernel polynomial method for calculating transition rates by Huang, Chen, Voter, Arthur F., Perez, Danny

    ISSN: 1098-0121, 1550-235X
    Published: United States American Physical Society 24.06.2013
    “… The DOS is then approximated using the kernel polynomial method as an expansion in terms of Chebyshev polynomials…”
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    Journal Article
  12. 12

    Comparison between the Local Polynomial Kernel Method and cubic spline to Estimating Time-Varying Coefficients Model by Abdul-Kareem Fayadh, Noor, Jaafar Hussain, Wafaa

    ISSN: 2790-5233, 2790-5241
    Published: College of Education for Pure Sciences 24.12.2022
    Published in Wasit Journal for Pure Sciences (24.12.2022)
    “… Methods Two methods were used, local polynomial kernal method and the cubic spline method…”
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    Journal Article
  13. 13

    Mollification of Fourier spectral methods with polynomial kernels by Puthukkudi, Megha, Godavarma Raja, Chandhini

    ISSN: 0170-4214, 1099-1476
    Published: Freiburg Wiley Subscription Services, Inc 01.04.2024
    “… In this article, an attempt has been made to show that mollification using Legendre and Chebyshev polynomial based kernels improves the convergence rate of the Fourier spectral method…”
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    Journal Article
  14. 14

    Probing the Global Delocalization Transition in the de Moura-Lyra Model with the Kernel Polynomial Method by Khan, N.A., Santos Pires, J.P., Viana Parente Lopes, J.M., Lopes dos Santos, J.M.B.

    ISSN: 2100-014X, 2101-6275, 2100-014X
    Published: Les Ulis EDP Sciences 2020
    Published in EPJ Web of conferences (2020)
    “…¬perature, holding a correlated disorder model with an algebraic power-spectrum (de Moura-Lyra model). Our calculations were based on a Kernel Polynomial implementation…”
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    Journal Article Conference Proceeding
  15. 15

    Kernel Polynomial Method on GPU by Zhang, Shixun, Yamagiwa, Shinichi, Okumura, Masahiko, Yunoki, Seiji

    ISSN: 0885-7458, 1573-7640
    Published: Boston Springer US 01.02.2013
    “… Kernel polynomial method (KPM) is one of the promising simulation methods. Because KPM contains a fine-grain recursive part in the algorithm, it is hard…”
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    Journal Article
  16. 16

    Computation of topological phase diagram of disordered Pb_{1−x}Sn_{x}Te using the kernel polynomial method by Dániel Varjas, Michel Fruchart, Anton R. Akhmerov, Pablo M. Perez-Piskunow

    ISSN: 2643-1564
    Published: American Physical Society 01.02.2020
    Published in Physical review research (01.02.2020)
    “… Based on the kernel polynomial method, our algorithm allows us to study samples with more than 10^{7} degrees of freedom…”
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    Journal Article
  17. 17
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    Rare regions and avoided quantum criticality in disordered Weyl semimetals and superconductors by Pixley, J.H., Wilson, Justin H.

    ISSN: 0003-4916, 1096-035X
    Published: Elsevier Inc 01.12.2021
    Published in Annals of physics (01.12.2021)
    “…Disorder in Weyl semimetals and superconductors is surprisingly subtle, attracting attention and competing theories in recent years. In this brief review, we…”
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    Journal Article
  19. 19

    Linear scaling quantum transport methodologies by Fan, Zheyong, Garcia, José H., Cummings, Aron W., Barrios-Vargas, Jose Eduardo, Panhans, Michel, Harju, Ari, Ortmann, Frank, Roche, Stephan

    ISSN: 0370-1573, 1873-6270
    Published: Elsevier B.V 07.04.2021
    Published in Physics reports (07.04.2021)
    “… Dirac and topological materials. The simulation of quantum transport in realistic models calls for the development of linear scaling, or order-N, numerical methods, which then become enabling tools for guiding experimental research…”
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    Journal Article
  20. 20

    The Bernoulli polynomials reproducing kernel method for nonlinear Volterra integro-differential equations of fractional order with convergence analysis by Azarnavid, Babak

    ISSN: 2238-3603, 1807-0302
    Published: Cham Springer International Publishing 01.02.2023
    Published in Computational & applied mathematics (01.02.2023)
    “…We propose an effective method based on the reproducing kernel theory for nonlinear Volterra integro-differential equations of fractional order…”
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    Journal Article