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La publication de la Dissertation sur les causes de l’universalité de la langue françoise de Johann Christoph Schwab (1784), traduction et appendices de Denis Robelot (1803), permet de redécouvrir un ouvrage qui, au-delà de sa richesse linguistique et culturelle, est aussi un document historique. Le texte et sa traduction se rattachent à deux moments décisifs de l’histoire de deux pays voisins : l’Allemagne des années 1780, qui recherche son identité politique et intellectuelle à l’ombre de la France de Louis XIV et de Voltaire, et la France d’entre deux siècles,...

This work presents a thorough treatment of boundary element methods (BEM) for solving strongly elliptic boundary integral equations obtained from boundary reduction of elliptic boundary value problems in $mathbb DEGREES3$. The book is self-contained, the prerequisites on elliptic partial differential and integral equations being presented in Chapters 2 and 3. The main focus is on the development, analysis, and implementation of Galerkin boundary element methods, which is one of the most flexible and robust numerical discretization methods for integral equations. For the efficient...

This work presents a thorough treatment of boundary element methods (BEM) for solving strongly elliptic boundary integral equations obtained from boundary reduction of elliptic boundary value problems in $mathbb DEGREES3$. The book is self-contained, the prerequisites on elliptic partial differential and integral equations being presented in Chapters 2 and 3. The main focus is on the development, analysis, and implementation of Galerkin boundary element methods, which is one of the most flexible and robust numerical discretization methods for integral equations. For the efficient...

The present book develops the mathematical and numerical analysis of linear, elliptic and parabolic partial differential equations (PDEs) with coefficients whose logarithms are modelled as Gaussian random fields (GRFs), in polygonal and polyhedral physical domains. Both, forward and Bayesian inverse PDE problems subject to GRF priors are considered.