Some remarks on approximation by finite element methods
Giuseppe Geymonat, Peter Oswald (1989)
Banach Center Publications
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Giuseppe Geymonat, Peter Oswald (1989)
Banach Center Publications
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Babuška, Ivo
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R. Smarzewski (1979)
Applicationes Mathematicae
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L. Gajek, P. Miś, J. Słowińska (2007)
Applicationes Mathematicae
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Optimal arrangement of a stream of insurance premiums for a multiperiod insurance policy is considered. In order to satisfy solvency requirements we assume that a weak Axiom of Solvency is satisfied. Then two optimization problems are solved: finding a stream of net premiums that approximates optimally 1) future claims, or 2) "anticipating premiums". It is shown that the resulting optimal streams of premiums enable differentiating between policyholders much more quickly than one-period...
Frisch, Uriel, Sobolevskii, A. (2004)
Journal of Mathematical Sciences (New York)
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K. Szajowski (1982)
Applicationes Mathematicae
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Silvia C. Di Marco, Roberto L.V. González (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this paper we consider the numerical computation of the optimal cost function associated to the problem that consists in finding the minimum of the maximum of a scalar functional on a trajectory. We present an approximation method for the numerical solution which employs both discretization on time and on spatial variables. In this way, we obtain a fully discrete problem that has unique solution. We give an optimal estimate for the error between the approximated solution and the...