Displaying similar documents to “Finite volume schemes for a nonlinear hyperbolic equation. Convergence towards the entropy solution and error estimate”

Characterization of the limit load in the case of an unbounded elastic convex

Adnene Elyacoubi, Taieb Hadhri (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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In this work we consider a solid body Ω 3 constituted by a nonhomogeneous elastoplastic material, submitted to a density of body forces λ f and a density of forces λ g acting on the boundary where the real λ is the loading parameter. The problem is to determine, in the case of an unbounded convex of elasticity, the Limit load denoted by λ ¯ beyond which there is a break of the structure. The case of a bounded convex of elasticity is done in [El-Fekih and Hadhri,   (1995) 391–419]. Then assuming...

Threshold Circuits for Iterated Matrix Product and Powering

Carlo Mereghetti, Beatrice Palano (2010)

RAIRO - Theoretical Informatics and Applications

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The complexity of computing, via threshold circuits, the and of fixed-dimension k × k matrices with integer or rational entries is studied. We call these two problems 𝖨𝖬𝖯 𝗄 and 𝖬𝖯𝖮𝖶 𝗄 , respectively, for short. We prove that: (i) For k 2 , 𝖨𝖬𝖯 𝗄 does not belong to TC 0 , unless TC 0 = NC 1 .newline (ii) For : 𝖨𝖬𝖯 2 belongs to TC 0 while, for k 3 , 𝖨𝖬𝖯 𝗄 does not belong to TC 0 , unless TC 0 = NC 1 . (iii) For any , 𝖬𝖯𝖮𝖶 𝗄 belongs to TC 0 .

Lipschitz stability in the determination of the principal part of a parabolic equation

Ganghua Yuan, Masahiro Yamamoto (2008)

ESAIM: Control, Optimisation and Calculus of Variations

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Let be one solution to t y ( t , x ) - i , j = 1 n j ( a i j ( x ) i y ( t , x ) ) = h ( t , x ) , 0 < t < T , x Ω with a non-homogeneous term , and y | ( 0 , T ) × Ω = 0 , where Ω n is a bounded domain. We discuss an inverse problem of determining unknown functions by { ν y ( h ) | ( 0 , T ) × Γ 0 , y ( h ) ( θ , · ) } 1 0 after selecting input sources h 1 , . . . , h 0 suitably, where Γ 0 is an arbitrary subboundary, ν denotes the normal derivative, 0 < θ < T and 0 . In the case of 0 = ( n + 1 ) 2 n / 2 , we prove the Lipschitz stability in the inverse problem if we choose ( h 1 , . . . , h 0 ) from a set { C 0 ( ( 0 , T ) × ω ) } 0 with an arbitrarily fixed subdomain ω Ω . Moreover we can take 0 = ( n + 3 ) n / 2 by making special choices...

Improved Lower Bounds on the Approximability of the Traveling Salesman Problem

Hans-Joachim Böckenhauer, Sebastian Seibert (2010)

RAIRO - Theoretical Informatics and Applications

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This paper deals with lower bounds on the approximability of different subproblems of the Traveling Salesman Problem (TSP) which is known not to admit any polynomial time approximation algorithm in general (unless 𝒫 = 𝒩𝒫 ). First of all, we present an improved lower bound for the Traveling Salesman Problem with Triangle Inequality, -TSP for short. Moreover our technique, an extension of the method of Engebretsen [11], also applies to the case of relaxed and sharpened triangle inequality, respectively,...