Adaptive Method of Lines

by A. Vande Wouwer (Editor), Ph. Saucez (Editor), W.E. Schiesser (Editor)

Overview

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

Product Details

ISBN-13:	9781040200919
Publisher:	CRC Press
Publication date:	04/18/2001
Sold by:	Barnes & Noble
Format:	eBook
Pages:	432
File size:	12 MB
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About the Author

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

Table of Contents

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.

Editorial Reviews

The general methods 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. This collection of 13 contributions reflects the diversity of techniques and applications related to MOL, introducing moving grids and grid refinement, static and dynamic gridding, the equidistribution principle and the concept of a monitor function, the minimization of a functional, and the moving finite element method. Applications include shallow water flow, combustion and flame propagation, transport on porous media, gas dynamics, chemical engineering processes, solitary waves, and magnetohydrodynamics. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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