Search Results - polynomial kernel method
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Kernel polynomial method as an efficient O(N2) scheme for optical spectra calculations including electron-hole interaction
ISSN: 0370-1972, 1521-3951Published: Blackwell Publishing Ltd 01.03.2014Published 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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The kernel polynomial method
ISSN: 0034-6861, 1539-0756Published: 01.01.2006Published in Reviews of modern physics (01.01.2006)Get full text
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Kernel polynomial method to Anderson transition in disordered β-graphyne
ISSN: 1607-324X, 2224-9079Published: Yukhnovskii Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine 01.09.2020Published 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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A spectrum adaptive kernel polynomial method
ISSN: 1089-7690, 1089-7690Published: 21.09.2023Published 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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The kernel polynomial method based on Jacobi polynomials
ISSN: 0096-3003Published: Elsevier Inc 01.04.2025Published 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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Kernel polynomial method as an efficient () scheme for optical spectra calculations including electron–hole interaction
ISSN: 0370-1972, 1521-3951Published: 01.03.2014Published in Physica Status Solidi. B: Basic Solid State Physics (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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Chebyshev kernel polynomial method for efficient calculation of the quasiparticle random phase approximation response function
ISSN: 0010-4655, 1879-2944Published: Elsevier B.V 01.11.2022Published 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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Kernel polynomial method for linear spin wave theory
ISSN: 2542-4653, 2542-4653Published: United States SciPost Foundation 01.11.2024Published 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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Fractional convection-diffusion systems in complex 2D and 3D geometries: A Bernoulli polynomial-based kernel method
ISSN: 0168-9274Published: Elsevier B.V 01.12.2025Published 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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Efficient polynomial kernel-based method for multi-term time-fractional diffusion systems in regular and irregular domains
ISSN: 0960-0779Published: Elsevier Ltd 01.10.2025Published 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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Scalable kernel polynomial method for calculating transition rates
ISSN: 1098-0121, 1550-235XPublished: United States American Physical Society 24.06.2013Published in Physical review. B, Condensed matter and materials physics (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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Comparison between the Local Polynomial Kernel Method and cubic spline to Estimating Time-Varying Coefficients Model
ISSN: 2790-5233, 2790-5241Published: College of Education for Pure Sciences 24.12.2022Published 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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Mollification of Fourier spectral methods with polynomial kernels
ISSN: 0170-4214, 1099-1476Published: Freiburg Wiley Subscription Services, Inc 01.04.2024Published in Mathematical methods in the applied sciences (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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Probing the Global Delocalization Transition in the de Moura-Lyra Model with the Kernel Polynomial Method
ISSN: 2100-014X, 2101-6275, 2100-014XPublished: Les Ulis EDP Sciences 2020Published 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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Kernel Polynomial Method on GPU
ISSN: 0885-7458, 1573-7640Published: Boston Springer US 01.02.2013Published in International journal of parallel programming (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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Computation of topological phase diagram of disordered Pb_{1−x}Sn_{x}Te using the kernel polynomial method
ISSN: 2643-1564Published: American Physical Society 01.02.2020Published 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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Computation of topological phase diagram of disordered Pb 1 − x Sn x Te using the kernel polynomial method
ISSN: 2643-1564, 2643-1564Published: 01.02.2020Published in Physical review research (01.02.2020)Get full text
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Rare regions and avoided quantum criticality in disordered Weyl semimetals and superconductors
ISSN: 0003-4916, 1096-035XPublished: Elsevier Inc 01.12.2021Published 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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Linear scaling quantum transport methodologies
ISSN: 0370-1573, 1873-6270Published: Elsevier B.V 07.04.2021Published 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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The Bernoulli polynomials reproducing kernel method for nonlinear Volterra integro-differential equations of fractional order with convergence analysis
ISSN: 2238-3603, 1807-0302Published: Cham Springer International Publishing 01.02.2023Published 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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