On April 13 at 5:00 PM, the 8th seminar of the CSIE Seminar Series took place, focusing on advanced approximation methods for optimal control problems.

The seminar was delivered by CSIE junior researchers Milena Ispiryan and Makaryan Vahagn, under the supervision of CSIE leading researcher Tigran Bakaryan.

The presentation explored Fourier-based approximation techniques and their limitations in finite-horizon optimal control, particularly endpoint mismatch and the Gibbs phenomenon. It introduced corrected approaches such as Krylov–Lanczos and Eckhoff methods, which improve accuracy by handling boundary inconsistencies and unknown discontinuities .

Results demonstrated that Eckhoff-corrected Fourier methods provide faster and more accurate solutions compared to classical approaches, especially for oscillatory nonlinear systems like the damped pendulum model.