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Space-Time Finite Element Method for Fully Intrinsic Equations of Geometrically Exact Beam
Aerospace, 2023 In this paper, a space-time finite element method based on a Galerkin-weighted residual method is proposed to solve the nonlinear fully intrinsic equations of geometrically exact beam which are first-order partial differential equations about time and ...
Lidao Chen, Xin Hu, Yong Liu
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Differential Quadrature Method for Fully Intrinsic Equations of Geometrically Exact Beams
Aerospace, 2022 In this paper, a differential quadrature method of high-order precision (DQ−Pade), which is equivalent to the generalized Pade approximation for approximating the end of a time or spatial interval, is used to solve nonlinear fully intrinsic equations of ...
Lidao Chen, Yong Liu
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Intrinsic Viscosity Determination by “Single-Point” and “Double-Point” Equations
Applied Rheology, 2009 “Single-point” equations used for intrinsic viscosity determination are greatly used when working with synthetic polymer solution systems. In this work we have applied them to a biological macromolecule in a bovine serum albumin (BSA)/water system ...
Curvale Rolando Antonio +1 more
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Integrable Equations and Their Evolutions Based on Intrinsic Geometry of Riemann Spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2009 The intrinsic geometry of surfaces and Riemannian spaces will be investigated. It is shown that many nonlinear partial differential equations with physical applications and soliton solutions can be determined from the components of the relevant metric ...
Paul Bracken
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An Alternative Method for Determination of the Position Vector of a Slant Helix
Journal of New Theory, 2023 In this paper, we provide an alternative method to determine the position vector of a slant helix with the help of an alternative moving frame. We then construct a vector differential equation in terms of the principal normal vector of a slant helix ...
Gizem Güzelkardeşler, Burak Şahiner
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Effects of Peers on Motivation and Physical Activity Behavior of Adolescent Students: An Investigation of Trans-Contextual Model [PDF]
International Journal of School Health, 2021 Background: One of the most important issues in school health is believed to be finding factors that could affect students’ participation in physical activity and sports.
Mahmoud Sheikh +3 more
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Generalization of general helices and slant helices [PDF]
Journal of Mahani Mathematical Research, 2017 In this work, we use the formal definition of $k$-slant helix cite{ali2} to obtain the intrinsic equations as well as the position vector for emph{slant-slant helices} which a generalization of emph{general helices} and emph{slant helices}.
Ahmet Ali
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Intrinsic stochastic differential equations as jets [PDF]
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2018 We explain how Itô stochastic differential equations (SDEs) on manifolds may be defined using 2-jets of smooth functions. We show how this relationship can be interpreted in terms of a convergent numerical scheme. We also show how jets can be used to derive graphical representations of Itô SDEs, and we show how jets can be used to derive the ...
J. Armstrong, D. Brigo
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An Intrinsic Version of the k-Harmonic Equation
Mathematics, 2023 The notion of k-harmonic curves is associated with the kth-order variational problem defined by the k-energy functional. The present paper gives a geometric formulation of this higher-order variational problem on a Riemannian manifold M and describes a generalized Legendre transformation defined from the kth-order tangent bundle TkM to the cotangent ...
Lígia Abrunheiro, Margarida Camarinha
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Presymplectic structures and intrinsic Lagrangians for massive fields
Nuclear Physics B, 2022 We study the construction of the so-called intrinsic action for PDEs equipped with compatible presymplectic structures. In particular, we explicitly demonstrate that the intrinsic action for the standard Einstein-Hilbert gravity is the familiar first ...
Maxim Grigoriev, Vyacheslav Gritzaenko
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