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Kenneth Lange
The current paper proposes and tests algorithms for finding the diameter of a compact convex set and the farthest point in the set to another point. For these two nonconvex problems, I construct Frank?Wolfe and projected gradient ascent algorithms. Altho...
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Animesh Samanta, Ayan Chatterjee and Mritunjay Kumar Singh
A study using mathematical modeling has been conducted to analyze how both man-made and natural sources of contaminants affect various layers of an aquifer-aquitard system. The xy-, yz-, and zx-plane have been used to depict the locations where the natur...
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Yadira Quiñonez, Oscar Zatarain, Carmen Lizarraga, Raquel Aguayo and Jezreel Mejía
In recent years, many methods have been developed to calculate the trajectory of a robotic arm in the joint-space. These methods have many advantages, such as a soft motion and infinite jerk avoidance. Nevertheless, these methods present other problems t...
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Kenneth Lange
The Hausdorff distance between two closed sets has important theoretical and practical applications. Yet apart from finite point clouds, there appear to be no generic algorithms for computing this quantity. Because many infinite sets are defined by algeb...
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Wenbo Li, Wentao Li, Lin Cheng and Shengping Gong
Space vehicles? real-time trajectory optimization is the key to future automatic guidance. Still, the current sequential convex programming (SCP) method suffers from a low convergence rate and poor real-time performance when dealing with complex obstacle...
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Wasim Ullah Khan, Muhammad Awais, Nabeela Parveen, Aamir Ali, Saeed Ehsan Awan, Muhammad Yousaf Malik and Yigang He
The current study is an attempt to analytically characterize the second law analysis and mixed convective rheology of the (Al2O3?Ag/H2O) hybrid nanofluid flow influenced by magnetic induction effects towards a stretching sheet. Viscous dissipation and in...
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Sirunya Thanompolkrang, Wannika Sawangtong and Panumart Sawangtong
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Stephan Daniel Schwoebel, Thomas Mehner and Thomas Lampke
Three-component systems of diffusion?reaction equations play a central role in the modelling and simulation of chemical processes in engineering, electro-chemistry, physical chemistry, biology, population dynamics, etc. A major question in the simulation...
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Shahid Khan, Mahmoud M. Selim, Aziz Khan, Asad Ullah, Thabet Abdeljawad, Ikramullah, Muhammad Ayaz and Wali Khan Mashwani
The 3D Carreau fluid flow through a porous and stretching (shrinking) sheet is examined analytically by taking into account the effects of mass transfer, thermal radiation, and Hall current. The model equations, which consist of coupled partial different...
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Hamzeh Dehghani, Iman Mansouri, Alireza Farzampour and Jong Wan Hu
The objective of this study is to explore a noble application of the improved homotopy perturbation procedure bases in structural engineering by applying it to the geometrically nonlinear analysis of the space trusses. The improved perturbation algorithm...
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