In this report we develop a view of the Grid based on the application service provider (ASP) model. This view enables the user to see the Grid as a collection of application services that can be published, discovered, and accessed in a relatively straightforward manner, hiding much of the complexity involved in using computational Grids and thus making it simpler and more accessible to a wider range of users. However, in order to satisfy the requirements of real-time scientific application clients, we combine the ASP model with representation of quality of service about the execution of services and the results they produce. Specifically, we focus on real-time, deadline-bound execution as the quality of service derived by a client. We describe an architecture implementing these ideas and the role of client and server in the context of the functionality we develop. We also describe preliminary experiments using an equilibrium fitting application for magnetic fusion in our architecture.