Results 21 to 30 of about 3,819,966 (316)
Spectral approach to homogenization of hyperbolic equations with periodic coefficients [PDF]
Journal of Differential Equations, 2017 In $L_2(\mathbb{R}^d;\mathbb{C}^n)$, we consider selfadjoint strongly elliptic second order differential operators ${\mathcal A}_\varepsilon$ with periodic coefficients depending on ${\mathbf x}/ \varepsilon$, $\varepsilon>0$.
M. Dorodnyi, T. Suslina
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Constructing hyperbolic systems in the Ashtekar formulation of general relativity [PDF]
, 2000 Hyperbolic formulations of the equations of motion are essential technique for proving the well-posedness of the Cauchy problem of a system, and are also helpful for implementing stable long time evolution in numerical applications.
Alcubierre M. +8 more
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Demonstratio Mathematica, 2023 In this research work, we proposed a Haar wavelet collocation method (HWCM) for the numerical solution of first- and second-order nonlinear hyperbolic equations. The time derivative in the governing equations is approximated by a finite difference.
Lei Weidong +4 more
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Blow-up for solutions of hyperbolic PDE and spacetime singularities [PDF]
, 2000 An important question in mathematical relativity theory is that of the nature of spacetime singularities. The equations of general relativity, the Einstein equations, are essentially hyperbolic in nature and the study of spacetime singularities is ...
Rendall, Alan D.
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First-order symmetrizable hyperbolic formulations of Einstein's equations including lapse and shift as dynamical fields [PDF]
, 2002 First-order hyperbolic systems are promising as a basis for numerical integration of Einstein's equations. In previous work, the lapse and shift have typically not been considered part of the hyperbolic system and have been prescribed independently. This
Arnowitt R +12 more
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Hyperbolic integrodifferential equations [PDF]
Proceedings of the American Mathematical Society, 1975 Hyperbolic integrodifferential equations are defined and conditions sufficient for hyperbolicity are given. The theory includes that of constant coefficient hyperbolic partial differential equations. Other examples are given.
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Group Classification and Conservation Laws of a Class of Hyperbolic Equations
Abstract and Applied Analysis, 2021 s. A method for the group classification of differential equations is proposed. It is based on the determination of all possible cases of linear dependence of certain indeterminates appearing in the determining equations of symmetries of the equation ...
J. C. Ndogmo
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On the Parabolic and Hyperbolic Liouville Equations [PDF]
Communications in Mathematical Physics, 2021 AbstractWe study the two-dimensional stochastic nonlinear heat equation (SNLH) and stochastic damped nonlinear wave equation (SdNLW) with an exponential nonlinearity $$\lambda \beta e^{\beta u }$$ λ β e β
Oh, Tadahiro +2 more
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A Direct Meshless Method for Solving Two-Dimensional Second-Order Hyperbolic Telegraph Equations
Journal of Mathematics, 2020 In this paper, a direct meshless method (DMM), which is based on the radial basis function, is developed to the numerical solution of the two-dimensional second-order hyperbolic telegraph equations.
Fuzhang Wang, Enran Hou
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Discontinuous hp-Finite Element Methods for Advection-Diffusion Problems [PDF]
, 2000 We consider the hp-version of the discontinuous Galerkin finite element method for second-order partial differential equations with nonnegative characteristic form.
Houston, P. +2 more
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