The role of analysis in an age of computers: view from the analytical side

The role of both past and current analysis in computer-based electromagnetics research is examined. Some observations on the current status of computer-based solutions are presented. It is concluded that analysis will remain an essential tool for making discoveries of electromagnetic phenomena, for providing physical insight into complex phenomena, and for the development of robust problem formulations and numerical methods, so that computed results with verifiable accuracy can be achieved. It is also concluded that more attention to verifying the accuracy of numerical results obtained from computer solutions is needed.<>