Results 21 to 30 of about 3,392,118 (219)
Finite element multistep multideriavative schemes for parabolic equations [PDF]
, 1976 The linear, homogeneous, parabolic equation is solved by applying finite element discretizations in space and A0 —stable, linear multistep, multiderivative (L.M.S.D.) methods in time. Such schemes are unconditionally stable. An error analysis establishes
Moore, P
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An hp-version discontinuous Galerkin method for integro-differential equations of parabolic type [PDF]
, 2011 We study the numerical solution of a class of parabolic integro-differential equations with weakly singular kernels. We use an $hp$-version discontinuous Galerkin (DG) method for the discretization in time.
H. Mustapha +7 more
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Journal of Marine Science and Engineering, 2021 Three-Dimensional (3-D) sound propagation in a shallow-water waveguide with a constant depth and inhomogeneous bottom is studied through numerical simulations.
Andrey Lunkov +2 more
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A Chebyshev Spectral Method for Normal Mode and Parabolic Equation Models in Underwater Acoustics [PDF]
Mathematical Problems in Engineering, 2020 In this paper, the Chebyshev spectral method is used to solve the normal mode and parabolic equation models of underwater acoustic propagation, and the results of the Chebyshev spectral method and the traditional finite difference method are compared for an ideal fluid waveguide with a constant sound velocity and an ideal fluid waveguide with a deep ...
Houwang Tu +5 more
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The collision dynamics between double-hump solitons in two mode optical fibers
Results in Physics, 2021 In this paper, the coupled Manakov equations with variable coefficients, governing the orthogonally polarized pulses transmission in two mode optical fibers, are studied via the Hirota method. The double-hump one- and two-soliton solutions of the Manakov
Weitian Yu +3 more
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Numerical Solution of Parabolic Equations by the Box Scheme [PDF]
, 1973 The box scheme proposed by H. B. Keller is a numerical method for solving parabolic partial differential equations. We give a convergence proof of this scheme for the heat equation, for a linear parabolic system, and for a class of nonlinear parabolic ...
Fong, Kirby William
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Vibration analysis of multi-stepped and multi-damaged parabolic arches using GDQ
Curved and Layered Structures, 2014 This paper investigates the in-plane free vibrations of multi-stepped and multi-damaged parabolic arches, for various boundary conditions. The axial extension, transverse shear deformation and rotatory inertia effects are taken into account.
Viola Erasmo +3 more
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Relativistic Rational Extended Thermodynamics of Polyatomic Gases with a New Hierarchy of Moments
Entropy, 2021 A relativistic version of the rational extended thermodynamics of polyatomic gases based on a new hierarchy of moments that takes into account the total energy composed by the rest energy and the energy of the molecular internal mode is proposed.
Takashi Arima +3 more
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An elastic mode parabolic equation in the case of weak shear modulus [PDF]
Proceedings of Meetings on Acoustics, 2015 We derive an elastic mode parabolic equation using the multiple-scale expansion method. The ratio of a typical wavelength to a typical size of horizontal inhomogeneities is chosen as a small parameter. The shear modulus is assumed to be of the order of the small parameter.
Mikhail Y. Trofimov +2 more
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Analysis of Dynamic Response Mechanism of Roadway Bolt
Advances in Civil Engineering, 2021 This work elucidates dynamic control equations of the anchoring system and the derivation of displacement equations and corresponding vibration modes. Furthermore, the anchoring system is found to be composed of three different vibration modes: (1) when ...
Qinjian Zhan +5 more
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