|DATE||May 27 (Mon), 2019|
|INSTITUTE||San Diego State University|
|TITLE||How to handle a small parameter in numerical computations?|
Especially since high-speed computers have become readily available, there has been enormous effort to develop discrete numerical methods to approximate continuous solutions of partial differential equations. One of the more difficult situations that can arise is when small parameters other than those appearing in the discretization are involved. Such singular or boundary perturbation problems arise all too frequently in practice. To achieve accurate numerical approximations in this situation can be daunting, as it is often computationally prohibitive to take the discretization small compared to the already existing small parameters in the problem.