Spectral functions and time evolution from the Chebyshev recursion [PDF]
, 2015 We link linear prediction of Chebyshev and Fourier expansions to analytic continuation. We push the resolution in the Chebyshev-based computation of $T=0$ many-body spectral functions to a much higher precision by deriving a modified Chebyshev series ...
Justiniano, Jorge A. +3 more
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Regularization technique and numerical analysis of the mixed system of first and second-kind Volterra–Fredholm integral equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2019 It is important to note that mixed systems of first and second-kind Volterra–Fredholm integral equations are ill-posed problems, so that solving discretized system of such problems has a lot of difficulties.
S. Pishbin, J. Shokri
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Chebyshev polynomial method to Landauer–Büttiker formula of quantum transport in nanostructures
AIP Advances, 2020 The Landauer–Büttiker formula describes the electronic quantum transport in nanostructures and molecules. It will be numerically demanding for simulations of complex or large size systems due to, for example, matrix inversion calculations.
Yan Yu +6 more
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Chebyshev-Fourier Spectral Methods for Nonperiodic Boundary Value Problems
Journal of Applied Mathematics, 2014 A new class of spectral methods for solving two-point boundary value problems for linear ordinary differential equations is presented in the paper. Although these methods are based on trigonometric functions, they can be used for solving periodic as well
Bojan Orel, Andrej Perne
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Chebyshev pseudo-spectral method for optimal control problem of Burgers’ equation [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2019 In this study, an indirect method is proposed based on the Chebyshev pseudo-spectral method for solving optimal control problems governed by Burgers’ equation.
F. Mohammadizadeh +2 more
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Injection into Orbit Optimization using Orthogonal Polynomials [PDF]
International Journal of Advanced Design and Manufacturing Technology, 2017 In this study, the problem of determining an optimal trajectory of a nonlinear injection into orbit problem with minimum time was investigated. The method was based on orthogonalpolynomial approximation.
Sedigheh Shahmirzaee Jeshvaghany +2 more
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Nonlinear Engineering, 2019 In this paper, the problem of determining heat transfer from convecting-radiating fin of triangular and concave parabolic shapes is investigated.We consider one-dimensional, steady conduction in the fin and neglect radiative exchange between adjacent ...
Shivanian Elyas +2 more
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Spectral Methods for Numerical Relativity. The Initial Data Problem [PDF]
, 1999 Numerical relativity has traditionally been pursued via finite differencing. Here we explore pseudospectral collocation (PSC) as an alternative to finite differencing, focusing particularly on the solution of the Hamiltonian constraint (an elliptic ...
Finn, Lee Samuel, Kidder, Lawrence E.
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Parallel eigensolvers in plane-wave Density Functional Theory [PDF]
, 2014 We consider the problem of parallelizing electronic structure computations in plane-wave Density Functional Theory. Because of the limited scalability of Fourier transforms, parallelism has to be found at the eigensolver level.
Levitt, Antoine, Torrent, Marc
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The influence of linear anisotropic scattering of one-speed neutrons on the critical size of a slab with reflective boundary conditions [PDF]
Nuclear Technology and Radiation Protection, 2017 The criticality problem for one-speed neutrons in a slab is investigated using Chebyshev polynomials of first kind in the series expansion of the neutron angular flux in stationary neutron transport equation.
Ozturk Hakan
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