1st Edition

Adaptive Method of Lines

Edited By A. Vande Wouwer, Ph. Saucez, W.E. Schiesser Copyright 2001
432 Pages 50 B/W Illustrations
by Chapman & Hall

432 Pages
by Chapman & Hall

The general Method of Lines (MOL) procedure provides a flexible format for the solution of all the major classes of partial differential equations (PDEs) and is particularly well suited to evolutionary, nonlinear wave PDEs. Despite its utility, however, there are relatively few texts that explore it at a more advanced level and reflect the method's current state of development. Written by... Read more
Introduction
Application of the Adaptive Method of Lines to Nonlinear Wave Propagation Problems
Adaptive MOL for Magneto-Hydrodynamic PDE Models
Development of a 1-D Error-Minimizing Moving Adaptive Grid Method
An Adaptive Method of Lines Approach for Modelling Flow and Transport in Rivers
An Adaptive Mesh Algorithm for Free Surface Flows in General Geometries, M. Sussman
The Solution of Steady PDEs on Adjustable Meshes in Multidimensions Using Local Descent Methods
Adaptive Linearly Implicit Methods for Heat and Mass Transfer Problems
Linearly Implicit Adaptive Schemes for Singular Reaction-Diffusion Equations
Unstructured Mesh MOL Solvers for Reacting Flow Problems
Two-Dimensional Model of a Reaction Bonded Aluminum Oxide Cylinder
Method of Lines within the Simulation Environment DIVA for Chemical Processes.

Biography

A Vande Wouwer, Ph. Saucez, W.E. Schiesser