Krylov implicit integration factor (IIF) methods were developed in Chen and Zhang (J Comput Phys 230:4336–4352, 2011) for solving stiff reaction–diffusion equations on high dimensional unstructured meshes. The methods were further extended to solve stiff advection–diffusion–reaction equations in Jiang and Zhang (J Comput Phys 253:368–388, 2013). Recently we studied the computational power of Kr...

An abstract framework is developed that enables the analysis of algebraically stabilized discretizations in a unified way. This applied to discretization this kind for convection–diffusion–reaction equations. The definition scheme contains new limiter improves standard one such way local and global discrete maximum principles are satisfied on arbitrary simplicial meshes.