Nonlinear Engineering, 2023 In this research, a compact combination of Chebyshev polynomials is created and used as a spatial basis for the time fractional fourth-order Euler–Bernoulli pinned–pinned beam.
Moustafa Mohamed +2 more
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The explicit formula for Gauss-Jordan elimination applied to flexible systems
Special Matrices, 2022 Flexible systems are obtained from systems of linear equations by adding to the elements of the coefficient matrix and the right-hand side scalar neutrices, which are convex groups of (non-standard) real numbers.
Tran Nam Van +2 more
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Extended convergence of a sixth order scheme for solving equations under ω–continuity conditions
Moroccan Journal of Pure and Applied Analysis, 2022 The applicability of an efficient sixth convergence order scheme is extended for solving Banach space valued equations. In previous works, the seventh derivative has been used not appearing on the scheme. But we use only the first derivative that appears
Regmi Samundra +3 more
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Relative Perturbation Theory for Quadratic Eigenvalue Problems [PDF]
, 2016 In this paper, we derive new relative perturbation bounds for eigenvectors and eigenvalues for regular quadratic eigenvalue problems of the form $\lambda^2 M x + \lambda C x + K x = 0$, where $M$ and $K$ are nonsingular Hermitian matrices and $C$ is a ...
Benner, Peter +3 more
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Local Convergence and Radius of Convergence for Modified Newton Method
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 We investigate the local convergence of modified Newton method, i.e., the classical Newton method in which the derivative is periodically re-evaluated.
Măruşter Ştefan
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On the maximum relative error when computing integer powers by iterated multiplications in floating-point arithmetic [PDF]
, 2015 International audienceWe improve the usual relative error bound for the computation of x^n through iterated multiplications by x in binary floating-point arithmetic.
Graillat, Stef +2 more
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Expanding the Applicability of Four Iterative Methods for Solving Least Squares Problems
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 The aim of this paper is to expand the applicability of four iterative methods for solving nonlinear least squares problems. The advantages obtained under the same computational cost as in earlier studies, include: larger radius of convergence, tighter ...
Argyros Ioannis K. +2 more
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Laplace transform collocation method for telegraph equations defined by Caputo derivative [PDF]
, 2022 The purpose of this paper is to find approximate solutions to the fractional telegraph differential equation (FTDE) using Laplace transform collocation method (LTCM). The equation is defined by Caputo fractional derivative.
Köksal, Mehmet Emir, Modanli, Mahmut
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Simulation of BSDEs with jumps by Wiener Chaos Expansion [PDF]
, 2015 We present an algorithm to solve BSDEs with jumps based on Wiener Chaos Expansion and Picard's iterations. This paper extends the results given in Briand-Labart (2014) to the case of BSDEs with jumps.
Geiss, Christel, Labart, Céline
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Error analysis for the numerical evaluation of the diagonal forms of the scalar spherical addition theorem [PDF]
, 1999 The numerical solution of wave scattering from large objects or from a large cluster of scatterers requires excessive computational resources and it becomes necessary to use approximate -but fast - methods such as the fast multipole method; however ...
Chew, WC, Koc, S, Song, J
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