TY - BOOK AU - Salsa,Sandro AU - Vegni,Federico M.G. AU - Zaretti,Anna AU - Zunino,Paolo ED - SpringerLink (Online service) TI - A Primer on PDEs: Models, Methods, Simulations T2 - UNITEXT, SN - 9788847028623 AV - QA1-939 U1 - 510 23 PY - 2013/// CY - Milano PB - Springer Milan, Imprint: Springer KW - Mathematics KW - Mathematical analysis KW - Analysis (Mathematics) KW - Partial differential equations KW - Mathematics, general KW - Partial Differential Equations KW - Analysis N1 - Introduction -- Scalar Conservation Laws -- Diffusion -- The Laplace Equation -- Reaction-diffusion models -- Waves and vibrations -- Elements of Functional Analysis -- Variational formulation of elliptic problems -- Weak formulation of evolution problems -- Solutions -- Fourier Series -- Notes on ordinary differential equations -- Finite difference approximation of time dependent problems -- Identities and Formulas N2 - This book is designed as an advanced undergraduate or a first-year graduate course for students from various disciplines like applied mathematics, physics, engineering. It has evolved while teaching courses on partial differential equations during the last decade at the Politecnico of Milan. The main purpose of these courses was twofold: on the one hand, to train the students to appreciate the interplay between theory and modelling in problems arising in the applied sciences and on the other hand to give them a solid background for numerical methods, such as finite differences and finite elements UR - http://dx.doi.org/10.1007/978-88-470-2862-3 ER -