Research

Research Projects

Active and completed projects from the Applied Analysis Research Group.

Computational Mathematics

Automatic Differentiation

An implementation of automatic differentiation enabling exact derivative computation for complex mathematical functions. Explores both forward and reverse mode AD with applications to scientific computing.

T. Trogdon A. Hsu W. Vaes C. Balew K. Lilly C. Younes
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Analysis & Quantum

RHP, NLFT & QSP

Exploring the deep connection between Riemann–Hilbert problems (RHP), nonlinear Fourier transforms (NLFT), and quantum signal processing (QSP). Investigates structural links and computational implications across these fields.

T. Trogdon A. Hsu K. Lilly C. Balew C. Younes W. Vaes
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