A Primer on PDEs Models, Methods, Simulations /

• Κύριοι συγγραφείς: Salsa, Sandro (Συγγραφέας), Vegni, Federico M. G. (Συγγραφέας), Zaretti, Anna (Συγγραφέας), Zunino, Paolo (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Milano : Springer Milan : Imprint: Springer, 2013.
• Σειρά: UNITEXT,
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Partial differential equations.; Mathematics, general.; Partial Differential Equations.; Analysis.

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...

Πίνακας περιεχομένων:

• 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.