TY - BOOK AU - Salsa,Sandro TI - Partial differential equations in action: from modelling to theory T2 - Universitext SN - 9788847007512 (pbk.) AV - QA 374 S25.2014 PY - 2014///, 2008 CY - Lexington, KY PB - Springer KW - Differential equations, Partial KW - Ecuaciones diferenciales parciales N1 - Incluye referencias bibliográficas e índice; Introduction -- Diffusion -- The Laplace equation -- Scalar conservation laws and first order equations -- Waves and vibrations -- Elements of functional analysis -- Distributions and Sobolev spaces -- Variational formulation of elliptic problems -- Weak formulation of evolution problems N2 - "This book is designed as an advanced undergraduate or a first-year graduate course for students from various disciplines like Applied Mathematics, Physics and Engineering. The main purpose is on the one hand to train the students to appreciate the interplay between theory and modelling in problems arising in the applied sciences; on the other hand to give them a solid theoretical background for numerical methods, such as finite elements."--BOOK JACKET ER -