Application of Numerical Methods for the Volterra Equations of the First Kind that Appear in an Inverse Boundary-Value Problem of Heat Conduction by S.V. Solodusha

“…The third section presents the results of numerical algorithms based on product integration method and middle rectangles quadrature. …”
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On the oxide films effect on the thermal processes in the particle‐substrate system during plasma spraying by G. Gromyko, G. Zayats

“…Numerical results for the heat transfer process and the effect of some important processing parameters have been discussed. Numerical algorithms were realized in the form of applied programs complex. …”
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Efficient Hamiltonian simulation for solving option price dynamics by Javier Gonzalez-Conde, Ángel Rodríguez-Rozas, Enrique Solano, Mikel Sanz

“…We report expected accuracy levels comparable to classical numerical algorithms by using nine qubits to simulate its dynamics on a fault-tolerant quantum computer, and an expected success probability of the post-selection procedure due to the embedding protocol above 60%.…”
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Analysis of Magnetic Flux Linkage Distribution in Salient-Pole Synchronous Generator with Different Kinds of Inter-Turn Winding Faults by H. Yaghobi, K. Ansari, H. Rajabi Mashhadi

“…The purpose of this challenge is to be more efficient in fault detection and to provide a reliable method with low-cost sensors and simple numerical algorithms which not only detect the occurrence of the fault, but also locate its position in the winding. …”
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Rational terms of UV origin at two loops by Stefano Pozzorini, Hantian Zhang, Max F. Zoller

“…Abstract The advent of efficient numerical algorithms for the construction of one-loop amplitudes has played a crucial role in the automation of NLO calculations, and the development of similar algorithms at two loops is a natural strategy for NNLO automation. …”
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Existence of Solutions to an Optimal Control Problem for a Hybrid System by N. S. Maltugueva, N. I. Pogodaev

“…Mathematical theory of optimal control for such systems is currently well-developed; in particular, necessary and sufficient optimality conditions are found and numerical algorithms are constructed. On the other hand, the authors are not aware of any results on existence of optimal controls. …”
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Development of the Platform for Three-Dimensional Simulation of Additive Layer Manufacturing Processes Characterized by Changes in State of Matter: Melting-Solidification by Dmytro S. Svyetlichnyy

“…Innovative computational strategies and numerical algorithms for simulation and analysis of entire powder bed-based technology with changes in state of matter (melting-solidification) are presented in the paper. …”
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The Runge Kutta-4 based 4D Hyperchaotic System Design for Secure Communication Applications by Murat Alçın

“…The fourth order Runge-Kutta numeric algorithm (RK4) has been utilized to obtain the discrete time tantamount of the given hyper chaotic system. …”
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Computational modeling and numerical methods for spatiotemporal calcium cycling in ventricular myocytes by Michael eNivala, Enno ede Lange, Robert eRovetti, Zhilin eQu

“…Both the SR domain and the myoplasm domain in each CRU are modeled by 5x5x5 voxels to maintain proper Ca diffusion. Advanced numerical algorithms implemented on graphical processing units were used for fast computational simulations. …”
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CytoPy: An autonomous cytometry analysis framework. by Ross J Burton, Raya Ahmed, Simone M Cuff, Sarah Baker, Andreas Artemiou, Matthias Eberl

“…Despite the success of numerous algorithms and published packages to replicate and outperform traditional manual analysis, widespread adoption of these techniques has yet to be realised in the field of immunology. …”
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Improvements to SLAM architecture on embedded systems by Tan, Si En

“…There are a lot of factors that need to be considered when collecting the results from SLAM, factors such as computational limits due to hardware, accuracy, noise, and speed of the algorithm may impact SLAM's results. Numerous algorithms present such as ORB-SLAM2 (Oriented FAST and Rotated BRIEF SLAM) [1] are not optimized to fully maximize the available hardware. …”
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Numerical simulation of chaotic vibration by Muhammad Yasser Roslan

“…This project would carry out extensive simulations of disorderly vibration for a single degree of freedom mechanical device with backlash stiffness nonlinearity based on a specific excitation spectrum. By using numerical algorithms, MATLAB can solve a series of nonlinear equations in time that describes the system. …”
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Linear-PSO with binary search algorithm for DNA Motif Discovery / Hazaruddin Harun by Harun, Hazaruddin

“…In the field of bioinformatics, a pattern is also known as a motif. Numerous algorithms had been developed for MD, but most of these were not designed to discover species specific motifs used in identifying a specifically selected species where the exact location of these motifs also needs to be identified. …”
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Integrated heart - coupled multiscale and multiphysics models for the simulation of the cardiac function by Ruiz Baier, R, Quarteroni, A, Lassila, T, Rossi, S

“…Resolution of each of these sub-systems requires separate mathematical analysis and specially developed numerical algorithms, which we review in detail. By using specific sub-systems as examples, we also look at systemic stability, and explain for example how physiological concepts such as microscopic force generation in cardiac muscle cells, translate to coupled systems of differential equations, and how their stability properties influence the choice of numerical coupling algorithms. …”

GPU-based odd and even hybrid string matching algorithm by Rahbari, Ghazal, Abdul Rashid, Nur’Aini, Husain, Wahidah

“…String matching is considered as one of the fundamental problems in computer science.Many computer applications provide the string matching utility for their users, and how fast one or more occurrences of a given pattern can be found in a text plays a prominent role in their user satisfaction.Although numerous algorithms and methods are available to solve the string matching problem, the remarkable increase in the amount of data which is produced and stored by modern computational devices demands researchers to find much more efficient ways for dealing with this issue.In this research, the Odd and Even (OE) hybrid string matching algorithm is redesigned to be executed on the Graphics Processing Unit (GPU), which can be utilized to reduce the burden of compute-intensive operations from the Central Processing Unit (CPU).In fact, capabilities of the GPU as a massively parallel processor are employed to enhance the performance of the existing hybrid string matching algorithms.Different types of data are used to evaluate the impact of parallelization and implementation of both algorithms on the GPU. …”
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Particle image velocimetry measurement of complex flow structures in the diffuser and spherical casing of a reactor coolant pump by Yongchao Zhang, Minguan Yang, Dan Ni, Ning Zhang, Bo Gao

“…The experimental results lend sound support for the optimal design of the RCP and provide validation of relevant numerical algorithms. Keywords: Diffuser, Flow Structures, Particle Image Velocimetry, Reactor Coolant Pump, Spherical Casing, Velocity Distribution…”
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Active-Reactive Additional Damping Control of a Doubly-Fed Induction Generator Based on Active Disturbance Rejection Control by Yanfeng Ma, Jia Liu, Haihang Liu, Shuqiang Zhao

“…In order to improve the precision of the controller, the theory of data driven control is adopted, using the numerical algorithms for subspace state space system identification (N4SID) to obtain the two order model of the ADRC controlled object. …”
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Sensitivity of snow density and specific surface area measured by microtomography to different image processing algorithms by P. Hagenmuller, M. Matzl, G. Chambon, M. Schneebeli

“…In order to extract quantitative characteristics of the microstructure, such as the specific surface area (SSA), from these data, the greyscale image first needs to be segmented into a binary image of ice and air. Different numerical algorithms can then be used to compute the surface area of the binary image. …”
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Focusing light through scattering media by reinforced hybrid algorithms by Yunqi Luo, Suxia Yan, Huanhao Li, Puxiang Lai, Yuanjin Zheng

“…Wavefront shaping emerged recently as one of the most potential methods to tackle this problem. So far, numerous algorithms have been reported, while each has its own pros and cons. …”
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Optimal channel-based sparse time-frequency blocks common spatial pattern feature extraction method for motor imagery classification by Xu Yin, Ming Meng, Qingshan She, Yunyuan Gao, Zhizeng Luo

“…The effectiveness of CSP is determined by the quality of interception in a specific time window and frequency band. Although numerous algorithms have been designed to optimize CSP by splitting the EEG data with a sliding time window and dividing the frequency bands with a set of band-pass filters, simultaneously. …”
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