Results 11 to 20 of about 172,190 (237)
Stability of discontinuous diffusion coefficients and initial conditions in an inverse problem for the heat equation [PDF]
SIAM Journal on Control and Optimization, 2007 International audienceWe consider the heat equation with a discontinuous diffusion coefficient and give uniqueness and stability results for both the diffusion coefficient and the initial condition from a measurement of the solution on an arbitrary part ...
Benabdallah, Assia +2 more
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Arab Journal of Mathematical Sciences, 2016 In this paper a standard numerical method with piecewise linear interpolation on Shishkin mesh is suggested to solve singularly perturbed boundary value problem for second order ordinary delay differential equations with discontinuous convection ...
V. Subburayan
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Convergence of the Euler-Maruyama method for multidimensional SDEs with discontinuous drift and degenerate diffusion coefficient [PDF]
, 2018 We prove strong convergence of order $1/4-\epsilon$ for arbitrarily small $\epsilon>0$ of the Euler-Maruyama method for multidimensional stochastic differential equations (SDEs) with discontinuous drift and degenerate diffusion coefficient.
Leobacher, Gunther +1 more
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VIBRATIONS OF SEMI-BOUNDED STRING INITIATED BY THE BOUNDARY DATA
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2019 Transverse vibrations of a semi-bounded string consisting of different materials are considered. The mathematical model is a homogeneous wave equation with piecewise constant coefficients.
Anikonov Dmitry, Konovalova Dina
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Study on the Nonlinear Dynamic Behavior of Rattling Vibration in Gear Systems
Machines, 2022 To reveal the nonlinear dynamic behavior of gear rattling vibration caused by gear backlash, a 2-DOF oscillator model with spring and damping elements was established. Based on the theory of discontinuous dynamical systems, the phase plane of gear motion
Yang Liu +4 more
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International Journal of Mathematics and Mathematical Sciences, 1995 A singular non-self-adjoint boundary value problem is considered. This problem has a discontinuous coefficient with a spectral parameter in the boundary condition. Some solutions of the eigenvalue equation are given.
A. A. Darwish
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Inverse Problems for Parabolic Equation with Discontinuous Coefficients
Nonautonomous Dynamical Systems, 2017 We consider the reaction-diffusion equation with discontinuities in the diffusion coefficient and the potential term. We start by deriving the Carleman estimate for the discontinuous reaction-diffusion operator which is deployed in the inverse problems ...
Dinakar V. +2 more
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On Finite/Fixed-Time Stability Theorems of Discontinuous Differential Equations
Mathematics, 2022 We investigated the finite/fixed-time stability (FNTS/FXTS) of discontinuous differential equations (DDEs) in this paper. To cope with differential equations that were discontinuous on the right-hand side, we utilized the Filippov solution, which is ...
Luke Li, Dongshu Wang
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On the convergence analysis of a time dependent elliptic equation with discontinuous coefficients
Advances in Nonlinear Analysis, 2019 In this paper, we consider a heat equation with diffusion coefficient that varies depending on the heterogeneity of the domain. We propose a spectral elements discretization of this problem with the mortar domain decomposition method on the space ...
Abdelwahed Mohamed, Chorfi Nejmeddine
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Explicit estimates for solutions of mixed elliptic problems [PDF]
, 2013 We deal with the existence of quantitative estimates for solutions of mixed problems to an elliptic second order equation in divergence form with discontinuous coefficient. Our concern is to estimate the solutions with explicit constants, for domains in $
Consiglieri, Luisa
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