CODES Group

Computational Optimization for Dynamics and Engineering Systems — at the interface of optimization, dynamics, and computational physics

Welcome

Our mission: To develop structured and differentiable representations of complex dynamical systems that enable scalable analysis, physical insight, and optimal design.

The CODES Group develops mathematical and computational frameworks to represent, interpret, and optimize complex nonlinear dynamical systems, with emphasis on oscillatory, multiscale, and fluid-structure phenomena.

Explore Our Research Meet the Team

Latest News

Dec 2025

Rohit Kanchi and Ben Melanson presenting at NeurIPS 2025!

Dec 2024

New CODES Group website launched!

Aug 2023

Prof. He joins UTK MABE as Assistant Professor

Open Positions

Ph.D. positions available!

We are looking for motivated students interested in MDO, computational physics, scientific computing, and fluid mechanics.

Graduate students from MABE, EECS, ISE, and applied math at UTK are welcome to reach out.

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Research Areas

Structured Representations

Time-spectral methods
Torus methods for quasi-periodic dynamics
Floquet stability theory

Operator-Theoretic Analysis

Resolvent analysis
Differentiable modal decompositions
Optimization-compatible reduced coordinates

Optimization, Control & Learning

Adjoint-based stability optimization
Multidisciplinary design optimization
Scientific ML for inference and design