A Primer on PDEs Models, Methods, Simulations /

• Main Authors: Salsa, Sandro. (Author), Vegni, Federico M. G. (Author), Zaretti, Anna. (Author), Zunino, Paolo. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Milano : Springer Milan : Imprint: Springer, 2013.
• Series: UNITEXT,
• Subjects: Mathematics.; Global analysis (Mathematics).; Differential equations, partial.; Mathematics, general.; Partial Differential Equations.; Analysis.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-88-470-2862-3

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 mai...

Table of Contents:

• 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.