Resumen: The International Conference Zaragoza-Pau on Applied Mathematics and Statistics is orga- nized every two years by the Departamento de Matemática Aplicada, the Departamento de Métodos Estadísticos, both from the Universidad de Zaragoza (Spain), and the Laboratoire de Mathématiques Appliquées, from the Université de Pau et des Pays de l’Adour (France). The aim of this conference is to present recent works in Applied Mathematics and Statis- tics, putting special emphasis on subjects linked to petroleum engineering and environmental problems. The Tenth Conference took place in Jaca (Spain) from 15th to 17st September 2005. Breaking for the first time the two-year periodicity of the Conference, its tenth edition did not take place in 2007, since two related events filled the calendar in this year. The official open- ing ceremony was graced by the presence of the Chancellor of the University of Zaragoza, Excmo. Sr. Rector Mgfco. D. Manuel J. López Pérez, and the Chancellor of the University of Pau, M. le Président Jean-Louis Gout. During those three days, 111 mathematicians, coming from different universities, research institutes or the industrial sector, attended 10 plenary lec- tures, 52 contributed talks and a poster session with a total of 11 posters. The principal topics were: theoretical and numerical analysis of deterministic models described by differential equations, statistics and stochastic processes, surface approximation and image analysis. At the same time, there was also a session devoted to Algebra and Geometry. These proceed- ings contain 2 papers based on the corresponding invited lectures along with 30 full length refereed research papers. We would like to thank the following institutions for their regular financial and material support in our cooperation programs: Université de Pau et des Pays de l’Adour, Universidad de Zaragoza, Conseil Régional d’Aquitaine, Gobierno de Aragón, Conseil Régional de Midi- Pyrénées, Gobierno de Navarra, and Pyrenean Work Community. Thanks are also due to the Centre National de la Recherche Scientifique (CNRS), Common Funds Aquitaine-Aragón and European Social Fund (ESF), for the grants specially allotted at the time of the Tenth Conference. We wish to express our gratitude to Mohamed Amara (U. Pau), Laurent Bordes (U. Pau), Mira Bozzini (U. Milano-Bicocca), Jacqueline Fleckinger (U. Toulouse I), Raúl Gouet (U. Chile), Miguel Pasadas (U. Granada) and Tomas Sauer (U. Justus-Leibig-Geissen), who, together with us, formed the Scientific Committee, and Diego Izquierdo, Javier López and Pedro Mateo, from the University of Zaragoza, who shared with us the tasks of the Orga- nizing Committee. We are also indebted to all others who helped in the organization of the conference, in particular, Beatriz Palacios and José Manuel Palacios. We finally acknowledge the assistance provided for the realization of the proceedings by the Instituto Universitario de Matemáticas y Aplicaciones, inside the Monografías Matemáti- cas García de Galdeano, and the Servicio de Publicaciones of the University of Zaragoza, as well as the kind cooperation of the referees. Special thanks are also due to Diego Izquierdo for his help in the preparation of the proceedings.