A New Car-Following Model with Consideration of Dynamic Safety Distance by Tao Wang, Jing Zhang, Guangyao Li, Keyu Xu, Shubin Li

“…Then, the phase diagram in the headway, speed, and sensitivity spaces is given to illustrate the impact of a variable safe distance on traffic flow. Finally, numerical methods are conducted to examine the performance of the proposed model with regard to two aspects: compared with the optimal velocity model, the new model can suppress traffic congestion effectively and, for different safety distances, the dynamic safety distance can improve the stability of vehicular stream. …”
Get full text

Exact expressions of the uniaxial perfectly elasto-plastic stress wave and induced mechanical fields in the case of a finite impact: application to laser shock peening by Lapostolle, Lucas, Morin, Léo, Derrien, Katell, Berthe, Laurent, Castelnau, Olivier

“…The exact and numerical results present a good match, allowing either the use of the exact solution for an initial estimation of the mechanical fields, or to test the accuracy of other numerical methods.…”
Get full text

Vibration Analysis of Rectangular Plates with One or More Guided Edges via Bicubic B-Spline Method by W.J. Si, K.Y. Lam, S.W. Gong

“…Frequency parameters for 13 cases of rectangular plates with at least one guided edge, which are possible by approximate or numerical methods only, are presented. These results are new in literature.…”
Get full text

Insurance as a loan agreement for managing risk in corporate lending by Đekić Marija, Ristanović Vladimir

“…Credit risk management is one of the most important banking operations, both in developed and developing countries. In addition to numerous methods and techniques, banks decide to conclude special credit agreements when granting loans to economic entities. …”
Get full text

A Semi-Analytical Approach for State-Space Electromagnetic Transient Simulation by Min Xiong, Kaiyang Huang, Yang Liu, Rui Yao, Kai Sun, Feng Qiu

“…Case studies are conducted on EMT models of the IEEE 39-bus system and large-scale systems to demonstrate the merits of the new simulation approach against traditional numerical methods.…”
Get full text

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. …”
Get full text

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). …”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text