The ability to simulate accurately complex physical phenomena is of increasing importance. This text looks at such phenomena from the mathematical point of view, and how phenomena lead to large systems of partial differentiation or differential equations.

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La simulation num�rique pr�cise de ph�nom�nes physiques complexes a acquis une importance consid�rable ces derni�res ann�es. Du point de vue math�matique, de tels ph�nom�nes m�nent � des syst�mes cons�quents d'�quations aux d�riv�es partielles ou d'�quations int�grales. Vu l'importance de telles �tudes, plusieurs strat�gies de r�solution ont �t� d�velopp�es pendant les derni�res d�c�nies. Une classe de ces m�thodes est la m�thode des volumes finis, qui est l'objet de ce symposium. Les pr�sents actes sont constitu�s d'une collection d'articles pr�sent�s au Premier symposium international sur les Volumes finis pour applications complexes. Une grande partie des contributions est consacr�e aux m�thodes de discr�tisation et d'analyse num�rique. Les sujets de ces articles couvrent un spectre allant de l'�tude des ordres d'approximation � l'�tablissement de preuves de convergence.

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