Jonathan Hauenstein

Harris, K., Hauenstein, J. D., & Szanto, A. (2020). Smooth Points on Semi-algebraic Sets. ACM COMMUNICATIONS IN COMPUTER ALGEBRA, 54(3), 105–108. https://doi.org/10.1145/3457341.3457347

Brake, D. A., Hauenstein, J. D., & Vinzant, C. (2019). Computing complex and real tropical curves using monodromy. JOURNAL OF PURE AND APPLIED ALGEBRA, 223(12), 5232–5250. https://doi.org/10.1016/j.jpaa.2019.03.019

Hauenstein, J. D., Pan, V. Y., & Szanto, A. (2014). A Note on Global Newton Iteration Over Archimedean and Non-Archimedean Fields. In Computer Algebra in Scientific Computing (Vol. 8660, pp. 202–217). https://doi.org/10.1007/978-3-319-10515-4_15

Hao, W., Hauenstein, J. D., Hu, B., & Sommese, A. J. (2014). A bootstrapping approach for computing multiple solutions of differential equations. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 258, 181–190. https://doi.org/10.1016/j.cam.2013.09.007

Mehta, D., Hauenstein, J. D., & Wales, D. J. (2014). Certification and the potential energy landscape. JOURNAL OF CHEMICAL PHYSICS, 140(22). https://doi.org/10.1063/1.4881638

Bates, D. J., Decker, W., Hauenstein, J. D., Peterson, C., Pfister, G., Schreyer, F.-O., … Wampler, C. W. (2014). Comparison of probabilistic algorithms for analyzing the components of an affine algebraic variety. APPLIED MATHEMATICS AND COMPUTATION, 231, 619–633. https://doi.org/10.1016/j.amc.2013.12.165

Hao, W. R., Hauenstein, J. D., Shu, C. W., Sommese, A. J., Xu, Z. L., & Zhang, Y. T. (2013). A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws. Journal of Computational Physics, 250, 332–346. https://doi.org/10.21236/ada568170

Besana, G. M., Di Rocco, S., Hauenstein, J. D., Sommese, A. J., & Wampler, C. W. (2013). Cell decomposition of almost smooth real algebraic surfaces. NUMERICAL ALGORITHMS, 63(4), 645–678. https://doi.org/10.1007/s11075-012-9646-y

Mehta, D., Hauenstein, J. D., & Wales, D. J. (2013). Communication: Certifying the potential energy landscape. JOURNAL OF CHEMICAL PHYSICS, 138(17). https://doi.org/10.1063/1.4803162

Hauenstein, J. D., Ikenmeyer, C., & Landsberg, J. M. (2013). Equations for Lower Bounds on Border Rank. EXPERIMENTAL MATHEMATICS, 22(4), 372–383. https://doi.org/10.1080/10586458.2013.825892

Hauenstein, J. D., & Wampler, C. W. (2013). Isosingular Sets and Deflation. FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, 13(3), 371–403. https://doi.org/10.1007/s10208-013-9147-y

Hauenstein, J. D., & Sommese, A. J. (2013). Membership tests for images of algebraic sets by linear projections. APPLIED MATHEMATICS AND COMPUTATION, 219(12), 6809–6818. https://doi.org/10.1016/j.amc.2012.12.060

Hauenstein, J., He, Y.-H., & Mehta, D. (2013). Numerical elimination and moduli space of vacua. JOURNAL OF HIGH ENERGY PHYSICS, (9). https://doi.org/10.1007/jhep09(2013)083

Hauenstein, J. D. (2013). Numerically Computing Real Points on Algebraic Sets. ACTA APPLICANDAE MATHEMATICAE, 125(1), 105–119. https://doi.org/10.1007/s10440-012-9782-3

Bates, D. J., Hauenstein, J. D., McCoy, T. M., Peterson, C., & Sommese, A. J. (2013). Recovering Exact Results from Inexact Numerical Data in Algebraic Geometry. EXPERIMENTAL MATHEMATICS, 22(1), 38–50. https://doi.org/10.1080/10586458.2013.737640