Results 1 to 10 of about 10,004 (246)
On the Approximation of Delayed Systems by Taylor Series Expansion [PDF]
Journal of Computational and Nonlinear Dynamics, 2015 It is known that stability properties of delay-differential equations are not preserved by Taylor series expansion of the delayed term. Still, this technique is often used to approximate delayed systems by ordinary differential equations in different engineering and biological applications.
T. Insperger
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Scientific Reports, 2023 Multipole expansion is a powerful technique used in many-body physics to solve dynamical problems involving correlated interactions between constituent particles.
E. O. Jobunga +2 more
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The rational approximation of functions which are formally defined by a power series expansion [PDF]
Mathematics of Computation, 1960 1. Introduction. The advent of high speed digital computers and the consequent intensification of interest in the study of numerical analysis has caused considerable attention to be paid to the problem of obtaining approximation formulas for functions which occur in the theory of mathematical physics.
By P. Wynn
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Series Expansion and Fourth-Order Global Padé Approximation for a Rough Heston Solution
Mathematics, 2020 The rough Heston model has recently been shown to be extremely consistent with the observed empirical data in the financial market. However, the shortcoming of the model is that the conventional numerical method to compute option prices under it requires
Siow Woon Jeng, Adem Kilicman
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Journal of Number Theory, 1997 The author finds the continued fraction expansion of some algebraic functions in characteristic \(p\). This allows him to deduce diophantine approximation properties of these algebraic functions. He recovers some interesting examples of \textit{M. W. Buck} and \textit{D. P. Robbins} [J.
A. Lasjaunias
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Fourier Plane-Wave Series Expansion for Holographic MIMO Communications [PDF]
IEEE Transactions on Wireless Communications, 2021 Imagine a MIMO communication system that fully exploits the propagation characteristics offered by an electromagnetic channel and ultimately approaches the limits imposed by wireless communications. This is the concept of Holographic MIMO communications.
Andrea Pizzo +2 more
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ON GOOD APPROXIMATIONS AND THE BOWEN–SERIES EXPANSION [PDF]
Bulletin of the Australian Mathematical Society, 2021 AbstractWe consider the continued fraction expansion of real numbers under the action of a nonuniform lattice in $\text {PSL}(2,{\mathbb R})$ and prove metric relations between the convergents and a natural geometric notion of good approximations.
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Solving the Parametric Eigenvalue Problem by Taylor Series and Chebyshev Expansion [PDF]
SIAM Journal on Matrix Analysis and Applications, 2023 We discuss two approaches to solving the parametric (or stochastic) eigenvalue problem. One of them uses a Taylor expansion and the other a Chebyshev expansion.
T. Mach, M. Freitag
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Low-Rank Approximations for Parametric Non-Symmetric Elliptic Problems
Frontiers in Physics, 2022 In this study, we obtained low-rank approximations for the solution of parametric non-symmetric elliptic partial differential equations. We proved the existence of optimal approximation subspaces that minimize the error between the solution and an ...
Tomás Chacón Rebollo +2 more
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Computing the eigenvalues of fourth order Sturm-Liouville problems with Lie Group method [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2017 In this paper, we formulate the fourth order Sturm-Liouville problem (FSLP) as a Lie group matrix differential equation. By solving this ma- trix differential equation by Lie group Magnus expansion, we compute the eigenvalues of the FSLP.
hanif mirzaei
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