Results 21 to 30 of about 1,923 (167)

Spectral Approach to Derive the Representation Formulae for Solutions of the Wave Equation

Journal of Applied Mathematics, 2012
Using spectral properties of the Laplace operator and some structural formula for rapidly decreasing functions of the Laplace operator, we offer a novel method to derive explicit formulae for solutions to the Cauchy problem for classical wave equation in
Gusein Sh. Guseinov
doaj   +1 more source

Mathematical methods and models for radiation carcinogenesis studies [PDF]

, 1986
Research on radiation carcinogenesis requires a twofold approach. Studies of primary molecular lesions and subsequent cytogenetic changes are essential, but they cannot at present provide numerical estimates of the risk of small doses of ionizing ...
A.M. Kellerer, Barlow, Bernoulli, Breslow, Broerse, Broerse, Chmelevsky, Chmelevsky, Chmelevsky, Groer, Hoel, Hulse, Kalbfleisch, Kaplan, Kellerer, Lafuma, Mole, National Academy of Sciences, National Research Council, Nelson, Recommendations of the International Commission on Radiological Protection, Rossi, Shellabarger, Shellabarger, Shellabarger, UNSCEAR-Report, Whittemore   +25 more
core   +1 more source

Construction of algebraic-analytic discrete approximations for linear and nonlinear hyperbolic equations in R^{2}. Part I [PDF]

Opuscula Mathematica, 2007
An algebraic-analytic method for constructing discrete approximations of linear hyperbolic equations based on a generalized d'Alembert formula of the Lytvyn and Riemann expressions for Cauchy data is proposed.
Mirosław Luśtyk, Mykola Prytula
doaj  

Nonlinear Vibration Characteristic Analysis of Electric Vehicle–Road Coupling System

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT In‐wheel motor drive is the developing direction of automobile electrification and intelligence. However, the increased unsprung mass in in‐wheel motor‐driven electric vehicles (IWMEVs) leads to higher dynamic tire loads, thereby intensifying vehicle–road coupling interactions. To address this problem, an 11‐degree‐of‐freedom nonlinear dynamic
Guizhen Feng, Shaohua Li, Xuewei Wang
wiley   +1 more source

Tsunami runup in U and V shaped bays [PDF]

, 2013
Thesis (M.S.) University of Alaska Fairbanks, 2014.Tsunami runup can be effectively modeled using the shallow water wave equations. In 1958 Carrier and Greenspan in their work "Water waves of finite amplitude on a sloping beach" used this system to model
Garayshin, Viacheslav Valer'evich, Гарайшин, Вячеслав Валерьевич   +1 more
core  

Mixed Super‐Circles

Computer Graphics Forum, EarlyView.
Abstract We introduce mixed super‐circles, a position‐curvature formulation of the original dynamic 2D super‐helix model. Compared to the latter, purely curvature‐based model – the so‐called chained formulation –, the mixed formulation that we propose here drastically reduces the algorithmic complexity of the solving scheme – from quadratic to quasi ...
Emile Hohnadel, Thibaut Métivet, Florence Bertails‐Descoubes   +2 more
wiley   +1 more source

On the Četaev Condition for Nonholonomic Systems

AppliedMath
In the context of holonomic systems, the identification of virtual displacements is clear and consolidated. This provides the possibility, once the class of displacements have been coupled with Newton’s equations, for us to write the correct equations of
Federico Talamucci
doaj   +1 more source

Movement of a railway car rolling down a classification hump with a tailwind

MATEC Web of Conferences, 2018
The purpose of this paper is to calculate kinematic parameters of a railway car moving with a tailwind for designing a classification hump. The calculation of kinematic parameters is based on the d'Alembert principle, and the physical speed and distance ...
Turanov Khabibulla, Gordienko Andrey
doaj   +1 more source

Aspects of noncommutative Lorentzian geometry for globally hyperbolic spacetimes [PDF]

, 2002
Connes' functional formula of the Riemannian distance is generalized to the Lorentzian case using the so-called Lorentzian distance, the d'Alembert operator and the causal functions of a globally hyperbolic spacetime. As a step of the presented machinery,
Beem J. K, Connes A., Fell J. M. G., Friedlander F. G., Gracia-Bondia J. M., Hawking S. W., Kobayashi S., Kopf T., Kopf T., Landi G., O'Neill B., Rudin W., Simon B., VALTER MORETTI, Wald R. M.   +14 more
core   +2 more sources

Topographical Features of the Lunar Surface Unveiled Through Spherical Geodesic Triangulation Analysis Method of DEM Roughness at Equal Spatial Scales

Earth and Space Science, Volume 13, Issue 4, April 2026.
Abstract This study introduces an innovative method using equal spherical geodesic triangulation to uniformly sample the digital elevation model (DEM) of the lunar surface, ensuring an even distribution of elevation data. Utilizing spherical spline fitting, we have proposed new methods for calculating slope angles and aspects. An equilateral triangular
Zhengfeng Zhang, Lei Chen, Huai Zhang, Yaolin Shi   +3 more
wiley   +1 more source