Partial Differential Equations in Action

From Modelling to Theory
1. Auflage 2008. Corr. 2. printing 2010
ISBN: 978-88-470-0751-2
Verlag: Springer

Buch, Englisch, 556 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 859 g

Reihe: Universitext

This book is designed as an advanced undergraduate or a first-year graduate course for students from various disciplines. The main purpose is on the one hand to train students to appreciate the interplay between theory and modeling in problems arising in the applied sciences, and on the other hand to give them a solid theoretical background for numerical methods. At the end of each chapter, a number of exercises at different level of complexity is included

Zielgruppe

Graduate

Autoren/Hrsg.

Salsa, Sandro

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Mathematische Modellierung

Inhaltsverzeichnis

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.