@article{harris_hauenstein_szanto_2020, title={Smooth Points on Semi-algebraic Sets}, volume={54}, ISSN={["1932-2240"]}, DOI={10.1145/3457341.3457347}, number={3}, journal={ACM COMMUNICATIONS IN COMPUTER ALGEBRA}, author={Harris, Katherine and Hauenstein, Jonathan D. and Szanto, Agnes}, year={2020}, month={Sep}, pages={105–108} } @article{brake_hauenstein_vinzant_2019, title={Computing complex and real tropical curves using monodromy}, volume={223}, ISSN={["1873-1376"]}, DOI={10.1016/j.jpaa.2019.03.019}, number={12}, journal={JOURNAL OF PURE AND APPLIED ALGEBRA}, author={Brake, Danielle A. and Hauenstein, Jonathan D. and Vinzant, Cynthia}, year={2019}, month={Dec}, pages={5232–5250} } @inbook{hauenstein_pan_szanto_2014, title={A Note on Global Newton Iteration Over Archimedean and Non-Archimedean Fields}, volume={8660}, ISBN={9783319105147 9783319105154}, ISSN={0302-9743 1611-3349}, url={http://dx.doi.org/10.1007/978-3-319-10515-4_15}, DOI={10.1007/978-3-319-10515-4_15}, booktitle={Computer Algebra in Scientific Computing}, publisher={Springer International Publishing}, author={Hauenstein, Jonathan D. and Pan, Victor Y. and Szanto, Agnes}, year={2014}, pages={202–217} } @article{hao_hauenstein_hu_sommese_2014, title={A bootstrapping approach for computing multiple solutions of differential equations}, volume={258}, ISSN={["1879-1778"]}, DOI={10.1016/j.cam.2013.09.007}, journal={JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS}, author={Hao, Wenrui and Hauenstein, Jonathan D. and Hu, Bei and Sommese, Andrew J.}, year={2014}, month={Mar}, pages={181–190} } @article{mehta_hauenstein_wales_2014, title={Certification and the potential energy landscape}, volume={140}, ISSN={["1089-7690"]}, DOI={10.1063/1.4881638}, number={22}, journal={JOURNAL OF CHEMICAL PHYSICS}, author={Mehta, Dhagash and Hauenstein, Jonathan D. and Wales, David J.}, year={2014}, month={Jun} } @article{bates_decker_hauenstein_peterson_pfister_schreyer_sommese_wampler_2014, title={Comparison of probabilistic algorithms for analyzing the components of an affine algebraic variety}, volume={231}, ISSN={["1873-5649"]}, DOI={10.1016/j.amc.2013.12.165}, journal={APPLIED MATHEMATICS AND COMPUTATION}, author={Bates, Daniel J. and Decker, Wolfram and Hauenstein, Jonathan D. and Peterson, Chris and Pfister, Gerhard and Schreyer, Frank-Olaf and Sommese, Andrew J. and Wampler, Charles W.}, year={2014}, month={Mar}, pages={619–633} } @article{hao_hauenstein_shu_sommese_xu_zhang_2013, title={A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws}, volume={250}, DOI={10.21236/ada568170}, journal={Journal of Computational Physics}, author={Hao, W. R. and Hauenstein, J. D. and Shu, C. W. and Sommese, A. J. and Xu, Z. L. and Zhang, Y. T.}, year={2013}, pages={332–346} } @article{besana_di rocco_hauenstein_sommese_wampler_2013, title={Cell decomposition of almost smooth real algebraic surfaces}, volume={63}, ISSN={["1572-9265"]}, DOI={10.1007/s11075-012-9646-y}, number={4}, journal={NUMERICAL ALGORITHMS}, author={Besana, Gian Mario and Di Rocco, Sandra and Hauenstein, Jonathan D. and Sommese, Andrew J. and Wampler, Charles W.}, year={2013}, month={Aug}, pages={645–678} } @article{mehta_hauenstein_wales_2013, title={Communication: Certifying the potential energy landscape}, volume={138}, ISSN={["0021-9606"]}, DOI={10.1063/1.4803162}, number={17}, journal={JOURNAL OF CHEMICAL PHYSICS}, author={Mehta, Dhagash and Hauenstein, Jonathan D. and Wales, David J.}, year={2013}, month={May} } @article{hauenstein_ikenmeyer_landsberg_2013, title={Equations for Lower Bounds on Border Rank}, volume={22}, ISSN={["1944-950X"]}, DOI={10.1080/10586458.2013.825892}, number={4}, journal={EXPERIMENTAL MATHEMATICS}, author={Hauenstein, Jonathan D. and Ikenmeyer, Christian and Landsberg, J. M.}, year={2013}, month={Oct}, pages={372–383} } @article{hauenstein_wampler_2013, title={Isosingular Sets and Deflation}, volume={13}, ISSN={["1615-3383"]}, DOI={10.1007/s10208-013-9147-y}, number={3}, journal={FOUNDATIONS OF COMPUTATIONAL MATHEMATICS}, author={Hauenstein, Jonathan D. and Wampler, Charles W.}, year={2013}, month={Jun}, pages={371–403} } @article{hauenstein_sommese_2013, title={Membership tests for images of algebraic sets by linear projections}, volume={219}, ISSN={["1873-5649"]}, DOI={10.1016/j.amc.2012.12.060}, number={12}, journal={APPLIED MATHEMATICS AND COMPUTATION}, author={Hauenstein, Jonathan D. and Sommese, Andrew J.}, year={2013}, month={Feb}, pages={6809–6818} } @article{hauenstein_he_mehta_2013, title={Numerical elimination and moduli space of vacua}, ISSN={["1029-8479"]}, DOI={10.1007/jhep09(2013)083}, number={9}, journal={JOURNAL OF HIGH ENERGY PHYSICS}, author={Hauenstein, Jonathan and He, Yang-Hui and Mehta, Dhagash}, year={2013}, month={Sep} } @article{hauenstein_2013, title={Numerically Computing Real Points on Algebraic Sets}, volume={125}, ISSN={["1572-9036"]}, DOI={10.1007/s10440-012-9782-3}, number={1}, journal={ACTA APPLICANDAE MATHEMATICAE}, author={Hauenstein, Jonathan D.}, year={2013}, month={Jun}, pages={105–119} } @article{bates_hauenstein_mccoy_peterson_sommese_2013, title={Recovering Exact Results from Inexact Numerical Data in Algebraic Geometry}, volume={22}, ISSN={["1944-950X"]}, DOI={10.1080/10586458.2013.737640}, number={1}, journal={EXPERIMENTAL MATHEMATICS}, author={Bates, Daniel J. and Hauenstein, Jonathan D. and McCoy, Timothy M. and Peterson, Chris and Sommese, Andrew J.}, year={2013}, month={Jan}, pages={38–50} }