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Titlebook: Numerical Analysis of Partial Differential Equations; Lectures given at a Jacques Louis Lions (Coordinatore) Book 2010 Springer-Verlag Ber

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P. A. Raviartiewing VTE in patients with multiple trauma, head trauma, or acute spinal cord injury and in those undergoing spine surgery: to gain knowledge about the incidence of thromboembolic events in these specific conditions, to identify patients at high risk for this complication, to establish whether ther
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Problems of Optimization and Numerical Stability in Computations,ng science; new questions and problems become important..A typical problem is the problem of the creation of numerical methods, the determination of their “worth” and, in general, the choice of the most suitable method for the given purpose..For example, the program-library in a computing centre con
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Error Estimates in Elliptic Boundary Value Problems, boundary value problems. Because of the limited time, I shall restrict my attention to the Dirichlet problem, although some of the methods are easily carried over to other boundary conditions. The first part will be devoted to second order problems. In fact, in order to illustrate the methods, I wi
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On the Existence of an Iterative Method for the Solution of Elliptic Difference Equations with an Ierature. In this paper it will be shown that for rather general domains in the plane there exists an iterative method with work estimates which are better than those now available. This is an abstract existence theorem, not a complete specification of an improved iterative procedure..On a rectangle
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Calculation of the Spectrum of a Schrodinger Operator,f all isolated eigenvalues of T of finite multiplicity) and σ. (T) = O (T) − σ.(T) the essential spectrum of T. The operator T is said to be semibounded (below), if σ (T) has a finite lower bound; in this case we denote by ν(T) and μ (T) the greatest lower bound of σ(T) and σ. (T) respectively, so t
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Contintent Equations and Boundary Value Problems,d to the optimal control theory. Our aim is to show that the technique of the contingent equations is useful in the theory of continuous and discrete boundary value problems too. In section 1 we start wtih a new topological method which permits to establish the existence of solutions provided a crit
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Problemes aux Limites non Homogenes a Donnees Irregulieres,ant par ex. une masse de Dirac, la solution correspondante étant alors le . est donnée dans Bramble [l] et pour les données frontières irrégulières (la solution correspondante étant alors par exemple le .) une autre méthode est donnée dans Jamet 1.Nous introduisons ici une méthode différente valable
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