Progress in controlled accuracy numerical solutions of integral equations

This presentation will review the state of progress in high accuracy computations such as the method-of-moments solution of integral equations of electromagnetics. The fundamental question to be addressed is: “What is needed in order to obtain solutions of general problems to `dialable´ accuracy?” In other words, what technological advances are required before we can routinely specify, in advance, that we would like a result that is accurate to N decimal places, and reliably obtain such a result? Specific contributions of the authors toward this goal will be highlighted and ongoing efforts will be detailed.