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Allan Jonathan da Silva, Jack Baczynski and José Valentim Machado Vicente
We introduce a novel stochastically correlated two-factor (i.e., bivariate) diffusion process under the square-root format, for which we analytically obtain the corresponding solutions for the conditional moment-generating functions and conditional chara...
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Shilei Cao, Man Yang and Jian Liu
Due to its advantages of easy deployment and high stiffness-to-mass ratio, the utilization of truss structures for constructing large satellites presents an appealing solution for modern space missions, including Earth observation and astronomy. However,...
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Gerasim V. Krivovichev and Valentina Yu. Sergeeva
The paper is devoted to the theoretical and numerical analysis of the two-step method, constructed as a modification of Polyak?s heavy ball method with the inclusion of an additional momentum parameter. For the quadratic case, the convergence conditions ...
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Guangxi Sun, Gang Zhang, Jianrong Huang, Qiaoli Shi, Xiaocheng Tang and Salamat Ullah
In the present paper, a modified Fourier series approach is developed for new precise flexural analysis of three different types of concrete plates in a rectangular sewage tank. The bending problems of the bottom plate, side-plate, and the fluid-guiding ...
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Yunbo Zhang, Kun Huang and Wei Xu
A common strategy for studying the nonlinear vibrations of beams is to discretize the nonlinear partial differential equation into a nonlinear ordinary differential equation or equations through the Galerkin method. Then, the oscillations of beams are ex...
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Yingfa Lu, Wenqing Sun, Hao Yang, Junjie Jiang and Lier Lu
On the basis of the force and safety factor analysis of traditional retaining walls, a new analytical method of force and displacement of the slope is suggested, the numerical theoretical solution of the stress distribution of the sliding body can be obt...
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Kevin Ancourt, Jacques Peter and Olivier Atinault
The method of characteristics is a classical method for gaining understanding in the solution of a partial differential equation. It has recently been applied to the adjoint equations of the 2D steady-state Euler equations and the first goal of this pape...
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Zan Klanecek, Rok Hren, Urban Simoncic, Blaz Tasic Muc, Matja? Lukac and Matija Milanic
In this study, a comprehensive and realistic model of laser light interaction with skin and hair was constructed. The model was applied to study the characteristics of laser-tissue interaction for the deeply penetrating Nd:YAG laser. Three types of finit...
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Huixuan Han, Yishuo Guo and Ruili Huo
The free transverse vibration of a surface-piercing, vertical cylinder partially submerged in water was studied. The cylinder had an arbitrary non-circular, but symmetric, cross-section in the vibration direction. The water was assumed to be an incompres...
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Angel Golev, Snezhana Hristova and Asen Rahnev
In this paper an algorithm for approximate solving of a boundary value problem for a nonlinear differential equation with a special type of fractional derivative is suggested. This derivative is called a generalized proportional Caputo fractional derivat...
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