Finlayson B.A. Numerical Methods for Problems with Moving Fronts

Ravenna Park Publishing, Seattle, Washington, 1992. 612 p.The objective of this book is to describe the modern methods that are applied to problems in which the convection term dominates or the mass (or concentration) moves along in a wave.One-dimensional examples solved with all methods.Introduction to finite difference methods and finite element methods.
Applications to Burger's equation.
Analysis of finite difference methods on fixed grids.
Analysis of finite element methods on fixed grids.
Specialized techniques.
Adaptive and moving meshes.Applications and two-dimensional examples.Two-dimensional considerations.
The convective diffusion equation with adsorption.
Convection and diffusion with reaction.
Problems with phase change.
The Navier-Stokes equation.
Polymer flow.
Flow through porous media.
Appendix. Dispersion diagrams.
Computer program description.
Author index.
Subject index.