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Tikhonov, A. and Arsenine, V. (1976) Méthodes de résolution de problèmes mal posés. MIR, Moscow.
has been cited by the following article:
TITLE: Linear Partial Differential Equations of First Order as Bi-Dimensional Inverse Moments Problem
AUTHORS: Maria Beatriz Pintarelli
KEYWORDS: Linear PDEs, Freholm Integral Equations, Generalized Moment Problem
JOURNAL NAME: Applied Mathematics, Vol.6 No.6, June 2, 2015
ABSTRACT: We consider linear partial differential equations of first order on a region . We will see that we can write the equation in partial derivatives as an Fredholm integral equation of the first kind and will solve this latter with the techniques of inverse problem moments. We will find an approximated solution and bounds for the error of the estimated solution using the techniques on problem of moments.
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