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Tsonyo M. Pavkov, Valentin G. Kabadzhov, Ivan K. Ivanov and Stoil I. Ivanov
In this paper, we provide a detailed local convergence analysis of a one-parameter family of iteration methods for the simultaneous approximation of polynomial zeros due to Ivanov (Numer. Algor. 75(4): 1193?1204, 2017). Thus, we obtain two local converge...
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Yang Li, Wanchun Chen and Liang Yang
In this paper, a linear Chebyshev pseudospectral method (LCPM) is proposed to solve the nonlinear optimal control problems (OCPs) with hard terminal constraints and unspecified final time, which uses Chebyshev collocation scheme and quasi-linearization. ...
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Jamil Al-Azzeh, Abdelwadood Mesleh, Maksym Zaliskyi, Roman Odarchenko and Valeriyi Kuzmin
The main purpose of mathematical model building while employing statistical data analysis is to obtain high accuracy of approximation within the range of observed data and sufficient predictive properties. One of the methods for creating mathematical mod...
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Sihmehmet Yildiz, Hayriye Pehlivan Solak and Melike Nikbay
Uncertainty quantification has proven to be an indispensable study for enhancing reliability and robustness of engineering systems in the early design phase. Single and multi-fidelity surrogate modelling methods have been used to replace the expensive hi...
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Mitja ?trakl, Matja? Hriber?ek, Jana Wedel, Paul Steinmann and Jure Ravnik
In this paper, forces and torques on solid, non-spherical, orthotropic particles in Stokes flow are investigated by using a numerical approach on the basis of the Boundary Element Method. Different flow patterns around a particle are considered, taking i...
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András Faragó and Zohre R. Mojaveri
The Disjoint Connecting Paths problem and its capacitated generalization, called Unsplittable Flow problem, play an important role in practical applications such as communication network design and routing. These tasks are NP-hard in general, but various...
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Matt Taher and Fred Evans
This paper presents a new improved approach to calculation of polytropic performance of centrifugal compressors. This rapid solution technique is based upon a constant efficiency, temperature-entropy polytropic path represented by cubic polynomials. New ...
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Tapani Toivonen and Markku Tukiainen
Many combinatorial optimization problems are often considered intractable to solve exactly or by approximation. An example of such a problem is maximum clique, which?under standard assumptions in complexity theory?cannot be solved in sub-exponential time...
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Elena Gre?ová and Jozef Svetlík
The current great expansion of automation and robotics affects a multiplicity of various fields. A prominent example is industry, where the different manufacturing processes and technologies embrace a certain level of automation and robotics. Thus, the u...
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Leonid V. Moroz, Volodymyr V. Samotyy and Oleh Y. Horyachyy
Many low-cost platforms that support floating-point arithmetic, such as microcontrollers and field-programmable gate arrays, do not include fast hardware or software methods for calculating the square root and/or reciprocal square root. Typically, such f...
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