This book deals with numerical methods for solving partial differential equa- tions (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, meth- ods 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 of their properties for the three different types of differential equations in a unified way by...

This book deals with numerical methods for solving partial differential equa- tions (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, meth- ods 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 of their properties for the three different types of differential equations in a unified way by...