The Numerical Method of Lines

Integration of Partial Differential Equations

William E. Schiesser

• Editorial: Academic Press
• Año: 2012
• ISBN:
  9780128015513
• Categoría: Mathematik
• Categoría: Mathematische Analyse

This is the first book on the numerical method of lines, a relatively new method for solving partial differential equations. The Numerical Method of Lines is also the first book to accommodate all major classes of partial differential equations. This is essentially an applications book for computer scientists. The author will separately offer a disk of FORTRAN 77 programs with 250 specific applications, ranging from "Shuttle Launch Simulation" to "Temperature Control of a Nuclear Fuel Rod."

Índice

• Front Cover
• The Numerical Method of Lines: Integration of Partial Differential Equations
• Copyright Page
• Table of Contents
• Deditcation
• Preface
• Chapter 1. What Is the Numerical Method of Lines?
• Chapter 2. Some Applications of the Numerical Method of Lines
• Chapter 3. Spatial Differentiation
• Chapter 4. Initial-Value Integration
• Chapter 5. Stability of Numerical Method of Lines Approximations
• Chapter 6. Additional Applications: Multidimensional PDEs and Adaptive Grids
• APPENDIX A: The Laplacicm Operator in Various Coordinate Systems
• APPENDIX B: Spatial Differentiation Routines
• APPENDIX C: Library of ODE and PDE Applications
• Index