What is … a spectral method?

This page hosts information on Maciek Korzec's talk "What is … a a spectral method?" at the "What is …?" seminar. The talk will take place on Friday, April 13, 4:00pm at the BMS Lounge in TU, MA 212.

Abstract

Besides the usual techniques, such as finite difference methods and finite element methods, spectral methods are another important tool for numerically solving partial differential equations. If the solutions are sufficiently smooth these methods yield spectral accuracy and hence one can achieve a faster convergence rate than with any local polynomial based interpolation method. In this talk the general framework of spectral methods, i.e., collocation methods based on trigonometric interpolation, is introduced. Example nonlinear partial differential equations are solved numerically.

This talk introduces topics that will be discussed in this summer term's lecture "Spectral methods for partial differential equations" held on Wednesdays at 2pm-4pm in TU MA542. PhD students are invited to attend the course.

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