Upper bounds estimates of the distance to cubic or orthotropic elasticity by Desmorat, Rodrigue, Kolev, Boris

“…We address the problem, not of the determination–which usually needs numerical methods–but of an accurate analytical estimation of the distance of a raw elasticity tensor to cubic symmetry and to orthotropy. …”
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A Novel Approximation Method for Solving Ordinary Differential Equations Using the Representation of Ball Curves by Abdul Hadi Bhatti, Sharmila Karim, Ala Amourah, Ali Fareed Jameel, Feras Yousef, Nidal Anakira

“…Numerical methods are frequently developed to investigate concepts for approximately solving ordinary differential equations (ODEs). …”
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The Circulation Distribution on the Lifting Line for a Given Extracted Power by Ali Helali, Badreddine Kamoun, David Afungchui, Mohamed Jomaa Safi

“…Presently, there exist few numerical methods which treat the inverse problem for the determination of the geometry of wind turbine blades. …”
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Experimental and Numerical Research on Cylindrical Tubes under Outer Cylindrical Explosive Waves by Sui Yaguang, Zhang Dezhi, Tang Shiying, Chen Bo

“…This study uses experimental and numerical methods to study the response of long and thin tubes when subjected to cylindrical explosive loading. …”
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Primary Neuronal Culture and Transient Transfection by Shun- Tseng, Peng- Chen, Eric Hwang

“…These cultures can be used to investigate fundamental aspects of neuronal development and plasticity, as well as disease mechanisms. There are numerous methods of transient transfection, such as electroporation, calcium phosphate precipitation, or cationic lipid transfection. …”
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Simulation of Electron Energy Spectra of a Biased Paracentric Hemispherical Deflection Analyzer as a Function of Entry Bias: Effects of Misalignments by O. Sise

“…The performance of a biased paracentric hemispherical deflection analyzer (HDA), including fringing fields and their effect on focusing and energy resolution, is investigated using numerical methods. Electron energy spectra are calculated for three entry positions R0=84 mm, 100 mm, and 112 mm and compared with the recent experimental measurements. …”
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Modeling and Simulation of a Chemical Vapor Deposition by J. Geiser, M. Arab

“…To model the gaseous transport in the apparatus we employ mobile gas phase streams, immobile and mobile phases in a chamber that is filled with porous medium (plasma layers). Numerical methods are discussed to solve such multi-scale and multi phase models and to obtain qualitative results for the delicate multiphysical processes in the chamber. …”
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Numerical Solution of the 1D Advection-Diffusion Equation Using Standard and Nonstandard Finite Difference Schemes by A. R. Appadu

“…Three numerical methods have been used to solve the one-dimensional advection-diffusion equation with constant coefficients. …”
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Performance evaluation of different estimation methods for missing rainfall data

“…There are numerous methods to estimate missing values of which some are used depending on the data type and regional climatic characteristics. …”
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New Statistical Approaches for Modeling the COVID-19 Data Set: A Case Study in the Medical Sector by Mohammed M. A. Almazah, Kalim Ullah, Eslam Hussam, Md. Moyazzem Hossain, Ramy Aldallal, Fathy H. Riad

“…In the practice of distribution theory, numerous methods have been studied and suggested/introduced to increase the flexibility level of the traditional probability distributions. …”
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Hypercrater Bifurcations, Attractor Coexistence, and Unfolding in a 5D Model of Economic Dynamics by Toichiro Asada, Panagiotis Markellos

“…Complex dynamical features are explored in a discrete interregional macrodynamic model proposed by Asada et al., using numerical methods. The model is five-dimensional with four parameters. …”
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A New Numerical Technique for Index-3 DAEs Arising from Constrained Multibody Mechanical Systems by Brahim Benhammouda

“…These DAEs are known to pose a challenge to numerical methods. The purpose of this paper is to propose a new approach to efficiently solve these equations. …”
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Adaptive Time-Stepping Using Control Theory for the Chemical Langevin Equation by Silvana Ilie, Monjur Morshed

“…Consequently, there is a demand for efficient and accurate numerical methods to approximate the solution of these models. …”
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A Solution of the Complex Fuzzy Heat Equation in Terms of Complex Dirichlet Conditions Using a Modified Crank–Nicolson Method by Hamzeh Zureigat, Mohammad A. Tashtoush, Ali F. Al Jassar, Emad A. Az-Zo’bi, Mohammad W. Alomari

“…The researchers take advantage of the properties and benefits of CFS theory in the proposed numerical methods and subsequently provide a new proof of the stability under CFS theory. …”
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An uncoupled thermoelasticity problem for a semi-infinite layer with regard to its proper weight by A. Fesenko, N. Vaysfeld

“…The constructed exact solution can be used as a model for solving a similar class of problems by numerical methods.…”
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An uncoupled thermoelasticity problem for a semi-infinite layer with regard of its proper weight by Anna Fesenko, Nataly Vaysfeld

“…The constructed exact solution can be used as a model for solving a similar class of problems by numerical methods.…”
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New Frequency-Dependent Trigonometric Interpolation Functions for the Dynamic Finite Element Analysis of Thin Rectangular Plates by Supun Jayasinghe, Seyed M. Hashemi

“…It was presented as an alternative to analytical and numerical methods that exhibit various drawbacks, which limit their applicability during the preliminary design stages. …”
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CSR STORAGE METHOD OF EXTENDED FINITE ELEMENT STIFFNESS MATRIX by LIU YaoXi, TANG JinYuan, ZHOU Wei, HE YuHui, YU Yang

“…The extended finite element method（ XFEM） is one of the most widely used numerical methods to deal with cracks,holes and inclusions. …”
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Dynamic Behaviors of a Two-Degree-of-Freedom Impact Oscillator with Two-Sided Constraints by Songtao Li, Qunhong Li, Zhongchuan Meng

“…The dynamic model of a vibroimpact system subjected to harmonic excitation with symmetric elastic constraints is investigated with analytical and numerical methods. The codimension-one bifurcation diagrams with respect to frequency of the excitation are obtained by means of the continuation technique, and the different types of bifurcations are detected, such as grazing bifurcation, saddle-node bifurcation, and period-doubling bifurcation, which predicts the complexity of the system considered. …”
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An open Monte Carlo based implementation of Gauss's method for initial orbit determination by José B. Batista-Mendoza, Eduardo Chung, Adam’s Martínez-Soto, Joaquín Fábrega-Polleri, Carlos A. Fernández-Valdés

“… Hundreds or thousands of Near-Earth Asteroids (NEAs) are discovered every year, so being able to determine their orbits to follow them successfully in the future is essential to warn of the danger they could present. Numerous methods have been developed to improve the precision and efficiency of calculations used in the Initial Orbit Determination (IOD), with Gauss’s method being the benchmark due to its intuitive formulation, comparable precision, and historical importance. …”
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