Results 21 to 30 of about 45,618 (222)
Two-level Chebyshev filter based complementary subspace method: pushing the envelope of large-scale electronic structure calculations [PDF]
, 2018 We describe a novel iterative strategy for Kohn-Sham density functional theory calculations aimed at large systems (> 1000 electrons), applicable to metals and insulators alike.
Banerjee, Amartya S. +4 more
core +2 more sources
Axioms, 2023 Chebyshev Wavelets of the third kind are proposed in this study to solve nonlinear systems of FDEs. The main goal of the method is to convert the nonlinear FDE into a nonlinear system of algebraic equations that can be easily solved using matrix methods.
Sadiye Nergis Tural Polat +1 more
doaj +1 more source
Chebyshev collocation method for solving second order ODEs using integration matrices
Discrete and Continuous Models and Applied Computational Science, 2023 The spectral collocation method for solving two-point boundary value problems for second order differential equations is implemented, based on representing the solution as an expansion in Chebyshev polynomials. The approach allows a stable calculation of
Konstantin P. Lovetskiy +3 more
doaj +1 more source
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
core +2 more sources
Derivative-Extended Time Domain Reduction for Coupled Systems Using Chebyshev Expansion
Discrete Dynamics in Nature and Society, 2017 The time domain model reduction based on general orthogonal polynomials has been presented for linear systems. In this paper, we extend this approach by taking the derivative information of the system into account in the context of model reduction of ...
Xiaolong Wang, Yaolin Jiang, Jun Liu
doaj +1 more source
Journal of Taibah University for Science, 2020 A numerical treatment to a system of Caputo fractional order differential- algebraic equations (SFDAEs) is presented throughout this article. The suggested method based upon the shifted Chebyshev pesedu- spectral method (SCPSM).
Hoda F. Ahmed
doaj +1 more source
Parallel Self-Consistent-Field Calculations via Chebyshev-Filtered Subspace Acceleration [PDF]
, 2006 Solving the Kohn-Sham eigenvalue problem constitutes the most computationally expensive part in self-consistent density functional theory (DFT) calculations.
B. Fornberg +10 more
core +1 more source
Shock and Vibration, 2015 The paper presents an effective approach for damage identification of bridge based on Chebyshev polynomial fitting and fuzzy logic systems without considering baseline model data.
Yu-Bo Jiao +3 more
doaj +1 more source
Chebyshev approach to quantum systems coupled to a bath
, 2007 We propose a new concept for the dynamics of a quantum bath, the Chebyshev space, and a new method based on this concept, the Chebyshev space method. The Chebyshev space is an abstract vector space that exactly represents the fermionic or bosonic bath ...
A. C. Hewson +11 more
core +1 more source
Chebyshev matrix product state approach for time evolution [PDF]
, 2015 We present and test a new algorithm for time-evolving quantum many-body systems initially proposed by Holzner et al. [Phys. Rev. B 83, 195115 (2011)]. The approach is based on merging the matrix product state (MPS) formalism with the method of expanding ...
Halimeh, Jad C. +2 more
core +2 more sources