Results 21 to 30 of about 1,923 (164)

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

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  

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

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

Vortex Line Density in a Superfluid Turbulent Wake in the Zero Temperature Limit

Annalen der Physik, Volume 538, Issue 1, January 2026.
The quasiclassical conjecture for quantum turbulence in a pure superfluid straightforwardly leads to the definition of the superfluid Reynolds number, Res=ud/κ$Re_s=ud/\kappa$, and suggests that the effective quantum viscosity should be of the order of the circulation quantum κ$\kappa$.
Hiromitsu Takeuchi
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  

Data Driven Based Bridge Damage Identification Using a Statistical Approach Utilizing Vehicle‐Induced Acceleration Responses

Advances in Civil Engineering, Volume 2026, Issue 1, 2026.
The integration of data‐driven methodologies in bridge health monitoring is gaining increasing attention due to their ability to overcome conventional approaches’ limitations. This study proposes a bridge damage identification method for simply supported bridges, leveraging output‐only vehicle‐induced vibration responses, eliminating the need for ...
Md. Niamul Haque, Shohel Rana, Muhammad Tariq Chaudhary   +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

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

A Discrete Mechanics Approach to the Cosserat Rod Theory—Part II: Geometric Insights About Static Equilibria on Vertex and Staggered Grids

International Journal for Numerical Methods in Engineering, Volume 126, Issue 23, 15 December 2025.
ABSTRACT We apply the discrete mechanics approach to the discretisation of geometrically exact Cosserat rods. We consider discrete Cosserat rods defined on a vertex (or nodal) grid, as well as on a staggered grid, and provide a review and update of the results already obtained in Part I for the nodal model variant and, for the first time, present a ...
Holger Lang, Rodrigo T. Sato Martín de Almagro, Tengman Wang, Martina Stavole, Joachim Linn, Sigrid Leyendecker   +5 more
wiley   +1 more source