Results 41 to 50 of about 24,811,169 (263)

Chebyshev matrix product state approach for time evolution [PDF]

open access: yes, 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

New Solutions for System of Fractional Integro-Differential Equations and Abel’s Integral Equations by Chebyshev Spectral Method

open access: yes, 2017
Chebyshev spectral method based on operational matrix is applied to both systems of fractional integro-differential equations and Abel’s integral equations. Some test problems, for which the exact solution is known, are considered. Numerical results with
H. Zedan, S. Tantawy, Yara M. Sayed
semanticscholar   +1 more source

Chebyshev approach to quantum systems coupled to a bath

open access: yes, 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

Modified Chebyshev collocation method for delayed predator–prey system [PDF]

open access: yesAdvances in Difference Equations, 2020
AbstractIn this study, the approximate solutions of the predator–prey system with delay have been obtained by using the modified Chebyshev collocation method. The main technique is that this method transforms the original problem into a system of nonlinear algebraic equations. By using the residual function of the operator equations, error differential
J. Dengata, Shufang Ma
openaire   +2 more sources

Signal encoding in magnetic particle imaging: properties of the system function

open access: yesBMC Medical Imaging, 2009
Background Magnetic particle imaging (MPI) is a new tomographic imaging technique capable of imaging magnetic tracer material at high temporal and spatial resolution.
Gleich Bernhard   +3 more
doaj   +1 more source

Solution Method for Systems of Nonlinear Fractional Differential Equations Using Third Kind Chebyshev Wavelets

open access: yesAxioms, 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

Two-dimensional Fuchsian systems and the Chebyshev property

open access: yesJournal of Differential Equations, 2003
preprint of the University of Toulouse 3, November ...
Gavrilov, Lubomir, Iliev, Iliya D
openaire   +2 more sources

Numerical Approximations Using Chebyshev Polynomial Expansions

open access: yes, 2001
We present numerical solutions for differential equations by expanding the unknown function in terms of Chebyshev polynomials and solving a system of linear equations directly for the values of the function at the extrema (or zeros) of the Chebyshev ...
Aarts G   +29 more
core   +1 more source

A second-order continuity domain-decomposition technique based on integrated Chebyshev polynomials for two-dimensional elliptic problems [PDF]

open access: yes, 2008
This paper presents a second-order continuity non-overlapping domain decomposition (DD) technique for numerically solving second-order elliptic problems in two-dimensional space.
Mai-Duy, Nam, Tran-Cong, Thanh
core   +2 more sources

Convex structures induced by Chebyshev systems

open access: yesIndagationes Mathematicae, 2017
Recent developments have clarified that some tools of convex geometry are closely related to separation theorems obtained in the field of functional inequalities. This phenomenon has motivated the authors for the investigation of convex structures induced by Chebyshev systems.
Bessenyei, Mihály, Popovics, Bella
openaire   +2 more sources

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