Partial differential equations (PDE) are useful tools to describe mathematical models of physical, biological, or financial phenomena. Among the study of PDEs, parameter stability including vanishing viscosity/damping limits are very interesting research topics; indeed they are deeply related to boundary layers, perturbation theory and many other areas. However, parameter stability is not always observed by numerical simulation. Therefore it is important to design such structure-preserving numerical schemes. In this talk we will discuss some recent progress in parameter stability arising from fluid models by demonstrating both analytic and numerical results.
