chapter 1 Introduction / chapter 2 Application of the Adaptive Method of Lines to Nonlinear Wave Propagation Problems / chapter 3 Numerical Solutions of the Equal Width Wave Equation Using an Adaptive Method of Lines / chapter 4 Adaptive Method of Lines for Magnetohydrodynamic PDE Models / chapter 5 Development of a1-D Error-Minimizing Moving Adaptive Grid Method / chapter 6 An Adaptive Method of Lines Approach for Modeling Flow and Transport in Rivers / chapter 7 An Adaptive Mesh Algorithm for Free Surface Flows in General Geometries / chapter 8 The Solution of Steady PDEs on Adjustable Meshes in Multidimensions Using Local Descent Methods / chapter 9 Linearly Implicit Adaptive Schemes for Singular Reaction-Diffusion Equations / chapter 10 Adaptive Linearly Implicit Methods for Heat and Mass Transfer Problems / chapter 11 Unstructured Adaptive Mesh MOL Solvers for Atmospheric Reacting- Flow Problems / chapter 12 Two-Dimensional Model of a Reaction-Bonded Aluminum Oxide Cylinder / chapter 13 Method of Lines within the Simulation Environment Diva for Chemical Processes