Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations

This book deals with numerical methods for solving partial differential equations (PDEs) coupling advection, diffusion and reaction terms, with a focus on time-dependency. A combined treatment is presented of methods for hy­ perbolic problems, thereby emphasizing the one-way wave equation, methods for parabolic problems and methods for stiff and non-stiff ordinary dif­ ferential equations (ODEs). With regard to time-dependency we have at­ tempted to present the algorithms and the discussion...