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03/02/2023
Symbolic-Numeric Parameter Estimation Software Package in Julia
We present our Julia software package ParameterEstimation.jl, which esti...
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05/11/2021
Complexity Analysis of Root Clustering for a Complex Polynomial
Let F(z) be an arbitrary complex polynomial. We introduce the local root...
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09/02/2020
Isotopic Arrangement of Simple Curves: an Exact Numerical Approach based on Subdivision
This paper presents the first purely numerical (i.e., non-algebraic) sub...
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06/14/2019
Soft Subdivision Motion Planning for Complex Planar Robots
The design and implementation of theoretically-sound robot motion planni...
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05/08/2019
An Algorithmic Approach to Limit Cycles of Nonlinear Differential Systems: the Averaging Method Revisited
This paper introduces an algorithmic approach to the analysis of bifurca...
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03/22/2019
Rods and Rings: Soft Subdivision Planner for R^3 x S^2
We consider path planning for a rigid spatial robot moving amidst polyhe...
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12/26/2018
SIAN: software for structural identifiability analysis of ODE models
Biological processes are often modeled by ordinary differential equation...
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06/27/2018
Implementation of a Near-Optimal Complex Root Clustering Algorithm
We describe Ccluster, a software for computing natural ϵ-clusters of com...
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06/26/2018
Clustering Complex Zeros of Triangular Systems of Polynomials
This paper gives the first algorithm for finding a set of natural ϵ-clus...
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06/26/2018
Clustering Complex Zeros of Triangular System of Polynomials
This report is about finding clusters of complex solutions of triangular...
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09/21/2015