In 1984 the first edition of this autumn school was celebrated in Santiago de Compostela in Spain. The Sociedad Española de Matemática Aplicada (SEMA) has been actively involved in the organization of these schools, each two years in Spain, since its creation. Since 2008 this school is also supported by the Société de Mathématiques Appliquées et Industrielles (SMAI). In 2002, the name of the School incorporated the name of the French Mathematician Jacques-Louis Lions to pay him homage. In 2026, the School will take place in France.

Next edition

The next edition will be in

• XXII School (Universite Paris Saclay, Paris, 2026)

Previous editions

• XXI School (ULCM, Ciudad Rea, 2025)
• XX School (UPC & CIMNE, Barcelona, 2023)
• XIX School (UPM, Madrid, 2021)
• XVIII School (Las Palmas, 2018)
• XVII School (Gijón, 2016)
• XVI School (Pamplona, 2014)
• XV School (Málaga, 2012)  
• XIV School (A Coruña, 2010)
• XIII School (Valladolid, 2008)
• XII School (CIEM, Castro Urdiales, 2006)
• XI School (Cádiz, 2004)
• X School (Jaca, 2002)
• IX School (Laredo, 2000)
• VIII School (Córdoba, 1998)
• VII School (Oviedo, 1996) 
• VI School (Sevilla, 1994)
• V School (Benicassim, 1992)
• IV School (Santiago de Compostela, 1990)
• III School (Madrid, 1988)
• II School (Benalmádena, Málaga, 1986)
• I School (Santiago de Compostela, 1984) 
• Preliminary meeting (Alcalá de Henares, 1982)