Differential Algebra Computational Toolbox
This repository includes all the necessary routines to run the CAM optimization with the method described in Pavanello et al. 2024.
A Sympy-powered Kivy app for the Painlevé property of nonlinear dispersive PDEs and auto-Bäcklund transformations
This folder contains script to solve the MRPLP using Differential Algebra techniques
DA-MMAE Reachable Sets Framework Novel integration of Differential Algebra and Multiple Model Adaptive Estimation for fast uncertainty propagation and real-time detection of unknown impulsive maneuvers in orbital dynamics. Enables robust orbit determination and reachable-set computation for space situational awareness and autonomous space mission.
A multidimensional jet space engine for high-order mixed partial Log-Tower derivatives. Features a Chronological Step-Operator Engine (Anchor/Web logic) that eliminates Bell polynomial explosion via asymmetric tensor caching. Replaces the quotient rule with an optimized derivative generator for lightning-fast symbolic mapping.
A maple package (NLDE: NonLinear algebra and Differential Equations) for operations with D-algebraic functions. The subpackage DalgSeq is devoted to the difference case.
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