List of works - Jonathan D Hauenstein

A General Method for Constructing Planar Cognate Mechanisms

A bootstrapping approach for computing multiple solutions of differential equations

scholarly article by Wenrui Hao et al published March 2014 in Journal of Computational and Applied Mathematics

A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws

article published in 2013

Adaptive strategies for solving parameterized systems using homotopy continuation

Algebraic geometrization of the Kuramoto model: Equilibria and stability analysis. ⬇️

scientific article published in May 2015

Algorithm 921

scientific article published on 04 September 2012

Algorithm 976

scientific article published on 17 July 2017

Binomiality Testing and Computing Sparse Polynomials via Witness Sets

Cell decomposition of almost smooth real algebraic surfaces

scholarly article by Gian Mario Besana et al published 28 September 2012 in Numerical Algorithms

Certification and the potential energy landscape ⬇️

scientific article published in June 2014

Certified Evaluations of Hölder Continuous Functions at Roots of Polynomials

Certifying solutions to overdetermined and singular polynomial systems over

scientific article published in January 2018

Certifying solutions to square systems of polynomial-exponential equations

scientific article published in 2017

Communication: Certifying the potential energy landscape

scientific article

Communication: Newton homotopies for sampling stationary points of potential energy landscapes ⬇️

scientific article published in September 2014

Comparison of probabilistic algorithms for analyzing the components of an affine algebraic variety

scholarly article by Daniel J. Bates et al published March 2014 in Applied Mathematics and Computation

Computing saddle graphs via homotopy continuation for the approximate synthesis of mechanisms

scientific article published in 2022

Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation

scientific article published in January 2013

Designing Rotary Linkages for Polar Motions

Energy landscape of the finite-size mean-field 2-spin spherical model and topology trivialization. ⬇️

scientific article

Energy-landscape analysis of the two-dimensional nearest-neighbor φ⁴ model

scientific article published on 4 June 2012

Equations for Lower Bounds on Border Rank

Experiments on the Zeros of Harmonic Polynomials Using Certified Counting

scientific article published on 24 March 2015

Gauge-fixing on the lattice via orbifolding ⬇️

scholarly article

Global structure of curves from generalized unitarity cut of three-loop diagrams

scientific article published in February 2015

Homotopy techniques for tensor decomposition and perfect identifiability

Identifiability and numerical algebraic geometry

scientific article published on 13 December 2019

Isosingular Sets and Deflation

Locating and Counting Equilibria of the Kuramoto Model with Rank-One Coupling

Machine learning the real discriminant locus

scientific article published in 2023

Membership tests for images of algebraic sets by linear projections

scholarly article by Jonathan D. Hauenstein & Andrew J. Sommese published February 2013 in Applied Mathematics and Computation

Numerical algebraic geometry and semidefinite programming

Numerical elimination and moduli space of vacua

scholarly article in Journal of High Energy Physics, 2013 no. 9, September 2013

Numerically Computing Real Points on Algebraic Sets

scholarly article by Jonathan D. Hauenstein published 27 September 2012 in Acta Applicandae Mathematicae

Numerically deciding the arithmetically Cohen–Macaulayness of a projective scheme

On Computing the Nonlinearity Interval in Parametric Semidefinite Optimization

On deflation and multiplicity structure

On some configurations of oppositely charged trapped vortices in the plane

On the Equations Defining Some Hilbert Schemes

One-dimensional slow invariant manifolds for spatially homogenous reactive systems

scientific article published on 01 July 2009

Real monodromy action

Real solutions to systems of polynomial equations and parameter continuation

scientific article published in April 2015

Recovering Exact Results from Inexact Numerical Data in Algebraic Geometry

scholarly article by Daniel J. Bates et al published January 2013 in Experimental Mathematics

Sampling Real Algebraic Varieties for Topological Data Analysis

Singular Value Decomposition of Complexes

scientific article published in 2019

Smooth points on semi-algebraic sets

scientific article published in May 2023

Tensor decomposition and homotopy continuation

The Complete Solution of Alt–Burmester Synthesis Problems for Four-Bar Linkages

scientific article published on 19 April 2016

List of works by Jonathan D Hauenstein