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Relevant bibliographies by topics / Approximation technique

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Journal articles

Academic literature on the topic 'Approximation technique'

Author: Grafiati

Published: 4 June 2021

Last updated: 3 February 2022

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Journal articles on the topic "Approximation technique"

1

Geer, James F., and Carl M. Andersen. "Hybrid Pade´-Galerkin Technique for Differential Equations." Applied Mechanics Reviews 46, no. 11S (1993): S255—S265. http://dx.doi.org/10.1115/1.3122644.

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A three-step hybrid analysis technique, which successively uses the regular perturbation expansion method, the Pade´ expansion method, and then a Galerkin approximation, is presented and applied to some model boundary value problems. In the first step of the method, the regular perturbation method is used to construct an approximation to the solution in the form of a finite power series in a small parameter ε associated with the problem. In the second step of the method, the series approximation obtained in step one is used to construct a Pade´ approximation in the form of a rational function

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2

Benammar, Mohieddine, Abdulrahman Alassi, Adel Gastli, Lazhar Ben-Brahim, and Farid Touati. "New Fast Arctangent Approximation Algorithm for Generic Real-Time Embedded Applications." Sensors 19, no. 23 (2019): 5148. http://dx.doi.org/10.3390/s19235148.

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Fast and accurate arctangent approximations are used in several contemporary applications, including embedded systems, signal processing, radar, and power systems. Three main approximation techniques are well-established in the literature, varying in their accuracy and resource utilization levels. Those are the iterative coordinate rotational digital computer (CORDIC), the lookup tables (LUTs)-based, and the rational formulae techniques. This paper presents a novel technique that combines the advantages of both rational formulae and LUT approximation methods. The new algorithm exploits the pse

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3

Worden, Lee, Ira B. Schwartz, Simone Bianco, Sarah F. Ackley, Thomas M. Lietman, and Travis C. Porco. "Hamiltonian Analysis of Subcritical Stochastic Epidemic Dynamics." Computational and Mathematical Methods in Medicine 2017 (2017): 1–11. http://dx.doi.org/10.1155/2017/4253167.

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We extend a technique of approximation of the long-term behavior of a supercritical stochastic epidemic model, using the WKB approximation and a Hamiltonian phase space, to the subcritical case. The limiting behavior of the model and approximation are qualitatively different in the subcritical case, requiring a novel analysis of the limiting behavior of the Hamiltonian system away from its deterministic subsystem. This yields a novel, general technique of approximation of the quasistationary distribution of stochastic epidemic and birth-death models and may lead to techniques for analysis of t

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4

Easterday, Kenneth, and Tommy Smith. "A Monte Carlo Application to Approximate Pi." Mathematics Teacher 84, no. 5 (1991): 387–90. http://dx.doi.org/10.5951/mt.84.5.0387.

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Instruction in the concept of area begins in elementary school and continues through college calculus. Students learn to apply formulas for certain plane figures and later, integration techniques. For figures that are not “nice” shapes or for “irregular” functions, students are taught approximation techniques, which range from counting squares in middle school to trigonometric approximations in high school and various methods of calculus. The purpose of this article is to offer the use of the Monte Carlo procedure on the microcomputer as an alternative tool for approximating areas. One of the

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5

Jiang, Hui, and Qingshan Yang. "Asymptotic behavior of the weak approximation to a class of Gaussian processes." Journal of Applied Probability 58, no. 3 (2021): 693–707. http://dx.doi.org/10.1017/jpr.2020.110.

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AbstractWe study, under mild conditions, the weak approximation constructed from a standard Poisson process for a class of Gaussian processes, and establish its sample path moderate deviations. The techniques consist of a good asymptotic exponential approximation in moderate deviations, the Besov–Lèvy modulus embedding, and an exponential martingale technique. Moreover, our results are applied to the weak approximations associated with the moving average of Brownian motion, fractional Brownian motion, and an Ornstein–Uhlenbeck process.

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6

Chen, Jing-Bo, Hong Liu, and Zhi-Fu Zhang. "A separable-kernel decomposition method for approximating the DSR continuation operator." GEOPHYSICS 72, no. 1 (2007): S25—S31. http://dx.doi.org/10.1190/1.2399368.

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We develop a separable-kernel decomposition method for approximating the double-square-root (DSR) continuation operator in one-way migrations in this paper. This new approach is a further development of separable approximations of the single-square-root (SSR) operator. The separable approximation of the DSR operator generally involves solving a complicated nonlinear system of integral equations. Instead of solving this nonlinear system directly, our new method consists of repeatedly applying the separable-kernel technique developed for the two-variable SSR operator to the multivariable DSR ope

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7

Seke, J., A. V. Soldatov, and N. N. Bogolubov. "Novel Technique for Quantum-Mechanical Eigenstate and Eigenvalue Calculations based on Seke's Self-Consistent Projection-Operator Method." Modern Physics Letters B 11, no. 06 (1997): 245–58. http://dx.doi.org/10.1142/s0217984997000311.

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Seke's self-consistent projection-operator method has been developed for deriving non-Markovian equations of motion for probability amplitudes of a relevant set of state vectors. This method, in a Born-like approximation, leads automatically to an Hamiltonian restricted to a subspace and thus enables the construction of effective Hamiltonians. In the present paper, in order to explain the efficiency of Seke's method in particular applications, its algebraic operator structure is analyzed and a new successive approximation technique for the calculation of eigenstates and eigenvalues of an arbit

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8

Muresan, Cristina I., Isabela R. Birs, Ovidiu Prodan, Ioan Nascu, and Robin De Keyser. "Approximation Methods for FO-IMC Controllers for Time Delay Systems." E3S Web of Conferences 115 (2019): 01003. http://dx.doi.org/10.1051/e3sconf/201911501003.

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Fractional Order Internal Model Control (FO-IMC) is among the newest trends in extending fractional calculus to the integer order control. Approximation of the FO-IMC is one of the key problems. Apart from this, when dealing with time delay systems, the time delay needs also to be approximated. All these approximations can alter the closed loop performance of the controller. In this paper, FO-IMC controllers will be tested in terms of the approximation accuracy. The case study is a first order system with time delay. Several scenarios will be considered, aiming for a conclusion regarding the c

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9

Payne, Joshua L., and Margaret J. Eppstein. "Pair Approximations of Takeover Dynamics in Regular Population Structures." Evolutionary Computation 17, no. 2 (2009): 203–29. http://dx.doi.org/10.1162/evco.2009.17.2.203.

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In complex adaptive systems, the topological properties of the interaction network are strong governing influences on the rate of flow of information throughout the system. For example, in epidemiological models, the structure of the underlying contact network has a pronounced impact on the rate of spread of infectious disease throughout a population. Similarly, in evolutionary systems, the topology of potential mating interactions (i.e., population structure) affects the rate of flow of genetic information and therefore affects selective pressure. One commonly employed method for quantifying

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10

Alzakari, Sarah A., and Poorvi L. Vora. "Partly-Pseudo-Linear Cryptanalysis of Reduced-Round Speck." Cryptography 5, no. 1 (2020): 1. http://dx.doi.org/10.3390/cryptography5010001.

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We apply McKay’s pseudo-linear approximation of addition modular 2n to lightweight ARX block ciphers with large words, specifically the Speck family. We demonstrate that a pseudo-linear approximation can be combined with a linear approximation using the meet-in-the-middle attack technique to recover several key bits. Thus we illustrate improvements to Speck linear distinguishers based solely on Cho–Pieprzyk approximations by combining them with pseudo-linear approximations, and propose key recovery attacks.

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