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An efficient image encryption algorithm using 3D-cyclic chebyshev map and elliptic curve. [PDF]
Kanwal S +5 more
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A blockchain-integrated chaotic fractal encryption scheme for secure medical imaging in industrial IoT settings. [PDF]
Inam S +4 more
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Dynamic reconfiguration of multiobjective distribution networks considering the variation of load and DG using a novel LDEDBO algorithm. [PDF]
Wu Y +6 more
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Complementary Polynomials in Quantum Signal Processing. [PDF]
Berntson BK, Sünderhauf C.
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Chebyshev method for Helmholtz equation [PDF]
In the paper a generalization of the Global Element Method developed in [3] for elliptic boundary value problems to complex Helmholtz is regarded. The method in this case relies upon minimization of two functionals apart with respect to real and imaginary parts.
D. P. Krasoń, M. Szuman
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A fast Chebyshev’s method for quadratic equations
Applied Mathematics and Computation, 2004In order to solve a quadratic equation \(F^{\prime \prime }(x)=B\), where \(B\) is a bilinear constant form, third-order methods are considered. To this end, the authors use multiresolution representation of data, standard forms of a matrix and of a bilinear operator and propose an adaptive Chebyshev method, whose convergence is proved (Theorem 1 ...
José Molina +3 more
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Analysis of Chebyshev Collocation Methods for Parabolic Equations
SIAM Journal on Numerical Analysis, 1986Numerical approximations for the heat equation and the advection- diffusion equation in the cylinder are examined. The space discretization is based on the pseudospectral Chebyshev method, which is a collocation method at the Chebyshev Gaussian nodes. This method allows one to achieve high accuracy for smooth solutions.
N. Bressan, QUARTERONI, ALFIO MARIA
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