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Advanced Discretization Methods


Pivkin I.

Course director


The course examines the development and analysis of spectral methods for the solution of time-dependent partial differential equations. Topics include key elements of approximation and stability theory for Fourier and polynomial spectral methods, as well as temporal integration and numerical aspects. The course will be offered online as well to also allow double-degree Master students to enroll.


At the end of the course, the student will be able to: - use the major concepts and results of spectral methods theory - plan and write computer code

Teaching mode

In presence

Learning methods

The course will use lectures, homework and reading assignments.

Examination information

The course will be evaluated through homework, midterm and final exams