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When exponential convergence is not sufficient

Student-Run Applied & Math Seminar

Speaker: James Bremer, University of California, Davis
Location: 2112 MSB
Start time: Fri, Jan 18 2013, 12:10PM

This talk will concern the numerical evaluation of a class of singular integrals which arise from the solution of linear elliptic boundary value problems. More than 20 years ago,the first exponentially convergent method for evaluating them was introduced. Since then, dozens of methods with similar asymptotic complexity have been proposed. None of these methods is effective in practice. I will explain the issue (which is on the level of upper division undergraduate mathematics) and, if time permits, describe an effective method for evaluating these integrals numerically. Although I will limit myself to one particular problem, its structure is similar to that of many others which arise in numerical analysis.

Pizza and soda drinks will be provided.