Results 1 to 10 of about 25,809 (166)
On Hill's equation with a discontinuous coefficient [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 We research the asymptotic formula for the lengths of the instability intervals of the Hill's equation with coefficients q(x) and r(x), where q(x) is piecewise continuous and r(x) has a piecewise continuous second derivative in open intervals (0,b) and ...
Ilkay Yaslan Karaca
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Analytic vs. numerical solutions to a Sturm-Liouville transmission eigenproblem
Journal of Numerical Analysis and Approximation Theory, 2019 An elliptic one-dimensional second order boundary value problem involving discontinuous coefficients, with or without transmission conditions, is considered.
Calin-Ioan Gheorghiu, Bertin Zinsou
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Engineering Applications of Computational Fluid Mechanics, 2022 In this study, the laminar nanofluid flow in the microchannel with a discontinuous-boundary condition was investigated. Considering the slip condition, heat transfer and entropy generation were studied.
Suhong Liu +8 more
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The Gini coefficient and discontinuity
Cogent Economics & Finance, 2022 This article reveals a discontinuity in the mapping from a Lorenz curve to the associated cumulative distribution function. The problem is of a mathematical nature—based on an analysis of the transformation between the distribution function of a bound random variable and its Lorenz curve.
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An Approximation Scheme for an Eikonal Equation with Discontinuous Coefficient [PDF]
SIAM Journal on Numerical Analysis, 2014 We consider the stationary Hamilton-Jacobi equation where the dynamics can vanish at some points, the cost function is strictly positive and is allowed to be discontinuous. More precisely, we consider special class of discontinuities for which the notion of viscosity solution is well-suited.
Adriano Festa, Maurizio Falcone
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Conservation Laws with Discontinuous Coefficients
Journal of Mathematical Analysis and Applications, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bernard, S. +3 more
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The Uniqueness of the Solution of the Schrödinger Equation with Discontinuous Coefficients [PDF]
Reviews in Mathematical Physics, 1998 29 (twenty-nine) pages; no figures; to appear in Reviews of Mathematical ...
Jäger, Willi, Saitō, Yoshimi
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A relaxation scheme for conservation laws with a discontinuous coefficient [PDF]
Mathematics of Computation, 2003 The authors study a relaxation scheme for conservation laws with discontinuous flux function \(f(k(x),u)\), where \(k(x)\) is a discontinuous coefficient. If \(k \in \text{BV}\) they are able to show that the approximate solutions of the relaxation scheme converge to a weak solution. The Murat-Tartar compensated compactness approach is used in order to
Kenneth H. Karlsen +2 more
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On Discontinuous Galerkin Methods for Elliptic Problems with Discontinuous Coefficients [PDF]
Computational Methods in Applied Mathematics, 2003 AbstractDiscontinuous Galerkin methods for elliptic problems with discontinuous coefficients are discussed. First the error bound of the methods is analyzed. Then a multilevel additive Schwarz preconditioner for one of the discrete problems is designed and analyzed.
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Conservation Laws with Time Dependent Discontinuous Coefficients [PDF]
SIAM Journal on Mathematical Analysis, 2005 The authors consider scalar conservation laws where the flux function depends discontinuously on both the spatial and temporal locations. The existence and well-posedness of an entropy solution to the Cauchy problem are proved. The existence is established by showing that a sequence of front tracking approximations is compact in \(L^1\), and that the ...
COCLITE, Giuseppe Maria, RISEBRO N. H.
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