Numerical Time-Dependent Partial Differential Equations for Scientists and Engineers

This book provides the theoretical foundation necessary to develop efficient methods for solving partial differential equations. In addition to the standard convergence theory, it is the first text of its kind to address other ingredients required for successful numerical simulations of physical systems. The presentation is accessible to scientists and engineers with diverse backgrounds and interests, ranging from application modeling to numerical analysis and scientific software development. The content is strongly influenced by the authors' research in space physics, electrical and optical engineering, applied mathematics, numerical analysis and professional software development.

Autorentext

Edited by Brio

Zusammenfassung
Suitable for users with interests ranging from application modeling to numerical analysis and scientific software development, this book treats standard convergence theory as well as other necessary ingredients for successful numerical simulations of physical systems encountered by the various practitioners.

Inhalt

1. Overview of Properties Partial Differential equations2. Methods of Discretization3. Convergence Theory for Initial Value Problems4. Numerical Boundary Conditions5. Problems with Multiple Temporal and Spatial Scales6. Nonuniform, Adaptive and Moving Grids