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GIC Modelling for an Overdetermined System
2006 Canadian Conference on Electrical and Computer Engineering, 2006 Geomagnetically induced currents in power systems can cause problems ranging from overload of transformers to power blackout. Modelling can be used to show the GIC flow throughout a power system; however, the modelled GIC values have uncertainties because of the simplifying assumptions.
Alexandre A. Trichtchenko +2 more
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Quarterly of Applied Mathematics, 1983 The Korteweg stress tensor has been the object of considerable interest recently since it provides a purely mechanical approach to the problem of liquid-vapor phase equilibria independent of various thermodynamical assumptions. Here we show that, unless rather special conditions are satisfied, the only physical phase boundaries which are consistent ...
PUCCI, Patrizia
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Overdetermined Elliptic Systems
Foundations of Computational Mathematics, 2005We consider linear overdetermined systems of partial differential equations. We show that the introduction of weights classically used for the definition of ellipticity is not necessary, as any system that is elliptic with respect to some weights becomes elliptic without weights during its completion to involution.
Katsiaryna Krupchyk +2 more
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A note on an overdetermined system involving mean curvature
Journal of Mathematical Analysis and Applications, 2012 Let Ω be a bounded simply connected domain in Rn with connected boundary of class C2. We show that, if there exist n functions satisfying some overdetermined system with boundary conditions involving mean curvature of ∂Ω, then Ω is a ball.
Lizhou Wang
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Solving singular integral equations using Gaussian quadrature and overdetermined system
Computers and Mathematics With Applications, 1998 Gauss-Chebyshev quadrature and collocation at the zeros of the Chebyshev polynomial of the first kind Tn(x), and second kind Un(x) leads to an overdetermined system of linear algebraic equations.
Kim, S.
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Overdetermined and Underdetermined Systems
2018As we know, overdetermined systems have no solution while underdetermined systems have infinitely many solutions.
Joseph L. Awange +3 more
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Lateral overdetermination of the FitzHugh–Nagumo system
Inverse Problems, 2004Summary: The FitzHugh-Nagumo system, composed of a semilinear parabolic equation coupled to a linear ordinary equation \[ v_t=v_{xx}+f(v)-w, \quad ...
Cox, Steven, Wagner, Alfred
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Overdetermined Systems of Linear Equations
SIAM Review, 1963for all x we call a Cebysev (approximate) solution (for short, C.S.) of (1).3 This report is a study of the properties of Cebysev solutions of (1). Most of the results we shall obtain may be found, explicitly or implicitly, in the literature. In particular this exposition relies on the presentations of Rivlin and Shapiro [1] and of Rademacher and ...
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