Particle Velocity Fluctuations in Viscous Gas with Random Velocity as the Sum of Two Correlated Color Noises by I. V. Derevich, A. K. Klochkov

“…The second approach implementation is based on the modern generalizations of the theory of numerical algorithms for solving stochastic ordinary differential equations. …”
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GENERALIZED ATOMIC WAVELETS by Iryna Victorivna Brysina, Victor Olexandrovych Makarichev

“…Also, these functions have a local support, which allows to decrease complexity of numerical algorithms. Besides, it was shown that spaces of atomic functions have good approximation properties, which can reduce the error of computations. …”
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Simulating ice-shelf extent using damage mechanics by Samuel B. Kachuck, Morgan Whitcomb, Jeremy N. Bassis, Daniel F. Martin, Stephen F. Price

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A species richness estimator for sample‐based incidence data sampled without replacement by Chun‐Huo Chiu

“…The new estimator was obtained through the moment approach, which avoids using iterative numerical algorithms for parameter estimation and presents a closed‐form estimator as an alternative to the maximum likelihood method. …”
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Development of a performance-based approach for collision avoidance and mitigation by Yang, Ji Hyun, 1978-

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Optimal control and stability of four-wheeled vehicles by Masouleh, M

“…However, with increasing computational power and advancement of numerical algorithms, such problems have become an invaluable tool for the racing teams. …”

Computational Analysis of Gas Kinetic Bhatnagar-Grosskrook Scheme for Inviscid Compressible Flow by Ong, Jiunn Chit

“…Many numerical schemes have been developed in the field of computational fluid dynamics to simulate inviscid, compressible flows.Among those most notable and successful are the Godunov-type schemes and flux vector splitting schemes.Besides these numerical schemes, schemes based on the gas kinetic theory have been developed in the past few years.Stemming from this approach, the gas kinetic Bhatnagar-Gross-Krook (BGK) scheme is realized.In this thesis, the BGK scheme based on the BGK model of the approximate Boltzmann equation has been fully analyzed and developed accordingly.The numerical algorithms for the BGK scheme are first developed for simulating one-dimensional flow, and then follow by the-two dimensional flow realms. …”
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One-dimension high-order compact method for solving euler's equation by Mohamad, Mahmod Abd Hakim bin

“…In the field of computational fluid dynamics, many numerical algorithms have been developed to simulate inviscid, compressible flows problems. …”
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Numerical solution of magnetohydrodynamics effects on a generalised power law fluid model of blood flow through a bifurcated artery with an overlapping shaped stenosis by Mohd. Zain, Norliza, Ismail, Zuhaila

“…The findings obtained from this study were then compared with available results from the literature as well as Comsol multiphysics software to verify the accuracy and validity of the numerical algorithms. It was found that the application of magnetic field was able to overcome flow reversal by 39% for a shear-thinning fluid, 26% for a Newtonian fluid, and 27% for a shear-thickening fluid. …”
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On the fractal-fractional Mittag-Leffler model of a COVID-19 and Zika Co-infection by Shahram Rezapour, Joshua Kiddy K. Asamoah, Sina Etemad, Ali Akgül, İbrahim Avcı, Sayed M. El Din

“…With the help of Newton polynomials, we obtain some numerical algorithms to approximate the solutions of the fractal-fractional hybrid Mittag-Leffler model graphically. …”
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Impact of the Marker Set Configuration on the Accuracy of Gait Event Detection in Healthy and Pathological Subjects by Rosa M. S. Visscher, Rosa M. S. Visscher, Marie Freslier, Florent Moissenet, Sailee Sansgiri, Navrag B. Singh, Elke Viehweger, Elke Viehweger, William R. Taylor, Reinald Brunner, Reinald Brunner

“…For interpreting outcomes of clinical gait analysis, an accurate estimation of gait events, such as initial contact (IC) and toe-off (TO), is essential. Numerous algorithms to automatically identify timing of gait events have been developed based on various marker set configurations as input. …”
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Solution of Water and Sodium Alginate-Based Casson Type Hybrid Nanofluid with Slip and Sinusoidal Heat Conditions: A Prabhakar Fractional Derivative Approach by Ali Raza, Musawa Y. Almusawa, Qasim Ali, Absar Ul Haq, Kamel Al-Khaled, Ioannis E. Sarris

“…The solution of the momentum, concentration, and energy equation is found by utilizing the Laplace scheme, and different numerical algorithms are considered for the inverse of Laplace, i.e., Stehfest and Tzou’s. …”
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Visualizing and exploring patterns of large mutational events with SigProfilerMatrixGenerator by Azhar Khandekar, Raviteja Vangara, Mark Barnes, Marcos Díaz-Gay, Ammal Abbasi, Erik N. Bergstrom, Christopher D. Steele, Nischalan Pillay, Ludmil B. Alexandrov

“…The tool provides support for examining copy-number variants and structural variants under two previously developed classification schemas and it supports data from numerous algorithms and data modalities. SigProfilerMatrixGenerator is written in Python with an R wrapper package provided for users that prefer working in an R environment. …”
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A Robust Framework for Object Detection in a Traffic Surveillance System by Malik Javed Akhtar, Rabbia Mahum, Faisal Shafique Butt, Rashid Amin, Ahmed M. El-Sherbeeny, Seongkwan Mark Lee, Sarang Shaikh

“…Object recognition is the technique of specifying the location of various objects in images or videos. There exist numerous algorithms for the recognition of objects such as R-CNN, Fast R-CNN, Faster R-CNN, HOG, R-FCN, SSD, SSP-net, SVM, CNN, YOLO, etc., based on the techniques of machine learning and deep learning. …”
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Improving the power of genetic association tests with imperfect phenotype derived from electronic medical records by Sinnott, Jennifer A., Dai, Wei, Liao, Katherine P., Shaw, Stanley Y., Ananthakrishnan, Ashwin N., Gainer, Vivian S., Karlson, Elizabeth W., Churchill, Susanne, Szolovits, Peter, Murphy, Shawn N., Kohane, Isaac, Plenge, Robert, Cai, Tianxi

“…A fundamental difficulty in implementing such studies is extracting accurate information about disease outcomes and important clinical covariates from large numbers of EMRs. Recently, numerous algorithms have been developed to infer phenotypes by combining information from multiple structured and unstructured variables extracted from EMRs. …”
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Improving the Robustness of Variable Selection and Predictive Performance of Regularized Generalized Linear Models and Cox Proportional Hazard Models by Feng Hong, Lu Tian, Viswanath Devanarayan

“…In particular, a <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>L</mi><mn>1</mn></msub></mrow></semantics></math></inline-formula> penalty on the regression coefficients is extremely useful, and very efficient numerical algorithms have been developed for fitting such models with different types of responses. …”
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Theoretical research progress of gravitational field modeling in Earth science and deep-space exploration by Zhi Yin, Kefei Zhang, Yabo Duan, Junsheng Liu, Qinglu Mu

“…It introduces the numerical algorithms of computational fluid dynamics to model the external gravitational fields of celestial bodies. …”
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Liquid metal phase change materials for thermal management of electronics by Yuchen Yao, Wei Li, Jing Liu, Zhongshan Deng

“…In addition, the mathematical models and related numerical algorithms for interpreting the phase change heat transfer mechanisms of LM are illustrated. …”
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Trends in Russia’s GDP Growth under Environmental Constraints by Z. V. Bragina, A. R. Denisov, N. N. Masyuk, N. V. Steblyanskii

“…The scientific novelty of the research lies in the development of economic and mathematical models, methods, and numerical algorithms for assessing and analyzing the state of air, water, and environmental pollution under the influence of the country’s economic growth. …”
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Study of cytostatic and cytotoxic characteristics of modified peptide CDK4/6 inhibitors – functional analogs of p16INK4a (90-97) by V. K. Bozhenko, T. M. Kulinich, E. A. Kudinova, A. V. Ivanov, A. M. Shishkin, V. A. Solodkiy

“…Application of numerical algorithms for optimization of peptide sequences and molecular dynamics allowed to obtain modified peptide sequences that are functional analogs of the sequence of natural inhibitor of cyclin-dependent kinase 4/6 p16INK4a.The study objective is to establish biological characteristics of peptide sequences of CDK 4/6 inhibitors obtained using mathematical modeling.Materials and methods. …”
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