LaCàn is a research group located in the Universitat Politècnica de Catalunya (UPC). The acronym stands for Mathematical and Computational Modeling. Our goal is to develop new mathematical and computational models to enable quantitative and predictive science and engineering. A central theme in all activities of the group is pushing the state of the art in the mathematical modeling of complex phenomena using partial differential equations and their numerical approximation with novel computational methods. Our interdisciplinary research is organized into three research programs with multiple cross-interactions.