Jonathan D. Hauenstein, Ph.D. - Publications

Affiliations: 
2009 University of Notre Dame, Notre Dame, IN, United States 
Area:
Mathematics

72 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Hauenstein JD, Rodriguez JI. Multiprojective witness sets and a trace test Advances in Geometry. 20: 297-318. DOI: 10.1515/Advgeom-2020-0006  0.486
2020 Hauenstein JD, Leykin A, Rodriguez JI, Sottile F. A numerical toolkit for multiprojective varieties Ieee Communications Magazine. 1. DOI: 10.1090/Mcom/3566  0.352
2020 Hauenstein JD, Helmer M. Probabilistic Saturations and Alt’s Problem Experimental Mathematics. 1-13. DOI: 10.1080/10586458.2020.1740835  0.336
2020 Hauenstein JD, Regan MH. Real monodromy action Applied Mathematics and Computation. 373: 124983. DOI: 10.1016/J.Amc.2019.124983  0.392
2019 Bates DJ, Hauenstein JD, Meshkat N. Identifiability and numerical algebraic geometry. Plos One. 14: e0226299. PMID 31834904 DOI: 10.1371/Journal.Pone.0226299  0.386
2019 Hauenstein JD, Oeding L, Ottaviani G, Sommese AJ. Homotopy techniques for tensor decomposition and perfect identifiability Journal FüR Die Reine Und Angewandte Mathematik (Crelles Journal). 2019: 1-22. DOI: 10.1515/Crelle-2016-0067  0.634
2019 Brake DA, Hauenstein JD, Schreyer F, Sommese AJ, Stillman ME. Singular Value Decomposition of Complexes Siam Journal On Applied Algebra and Geometry. 3: 507-522. DOI: 10.1137/18M1189270  0.658
2019 Brake DA, Hauenstein JD, Vinzant C. Computing complex and real tropical curves using monodromy Journal of Pure and Applied Algebra. 223: 5232-5250. DOI: 10.1016/J.Jpaa.2019.03.019  0.438
2018 Hauenstein JD, Sherman SN, Wampler CW. Exceptional Stewart--Gough Platforms, Segre Embeddings, and the Special Euclidean Group Siam Journal On Applied Algebra and Geometry. 2: 179-205. DOI: 10.1137/17M1114284  0.358
2018 Hauenstein JD. Numerical algebraic geometry and optimization Notices of the American Mathematical Society. 65: 1. DOI: 10.1090/Noti1739  0.317
2018 Ayyildiz Akoglu T, Hauenstein JD, Szanto A. Certifying solutions to overdetermined and singular polynomial systems overQ Journal of Symbolic Computation. 84: 147-171. DOI: 10.1016/J.Jsc.2017.03.004  0.494
2018 Bopardikar SD, Mehta D, Hauenstein JD. Optimal Configurations in Coverage Control with Polynomial Costs Ifac-Papersonline. 51: 106-111. DOI: 10.1016/J.Ifacol.2018.07.096  0.426
2018 Hauenstein JD, Regan MH. Adaptive strategies for solving parameterized systems using homotopy continuation Applied Mathematics and Computation. 332: 19-34. DOI: 10.1016/J.Amc.2018.03.028  0.483
2017 Brake DA, Bates DJ, Hao W, Hauenstein JD, Sommese AJ, Wampler CW. Algorithm 976 Acm Transactions On Mathematical Software. 44: 1-30. DOI: 10.1145/3056528  0.767
2017 Hauenstein JD, Wampler CW, Pfurner M. Synthesis of three-revolute spatial chains for body guidance Mechanism and Machine Theory. 110: 61-72. DOI: 10.1016/J.Mechmachtheory.2016.12.008  0.441
2017 Mahdi A, Pessoa C, Hauenstein JD. A hybrid symbolic-numerical approach to the center-focus problem Journal of Symbolic Computation. 82: 57-73. DOI: 10.1016/J.Jsc.2016.11.019  0.434
2017 Hauenstein JD, Mourrain B, Szanto A. On deflation and multiplicity structure Journal of Symbolic Computation. 83: 228-253. DOI: 10.1016/J.Jsc.2016.11.013  0.437
2017 Hauenstein JD, Levandovskyy V. Certifying solutions to square systems of polynomial-exponential equations Journal of Symbolic Computation. 79: 575-593. DOI: 10.1016/J.Jsc.2016.07.020  0.465
2017 Hauenstein JD, Sommese AJ. What is numerical algebraic geometry? Journal of Symbolic Computation. 79: 499-507. DOI: 10.1016/J.Jsc.2016.07.015  0.722
2017 Bernardi A, Daleo NS, Hauenstein JD, Mourrain B. Tensor decomposition and homotopy continuation Differential Geometry and Its Applications. 55: 78-105. DOI: 10.1016/J.Difgeo.2017.07.009  0.432
2017 Hauenstein JD, Wampler CW. Unification and extension of intersection algorithms in numerical algebraic geometry Applied Mathematics and Computation. 293: 226-243. DOI: 10.1016/J.Amc.2016.08.023  0.444
2017 Hauenstein JD, Rodriguez JI, Sottile F. Numerical Computation of Galois Groups Foundations of Computational Mathematics. 18: 867-890. DOI: 10.1007/S10208-017-9356-X  0.414
2016 Daleo N, Hauenstein J, Oeding L. Computations and equations for Segre-Grassmann hypersurfaces Portugaliae Mathematica. 73: 71-90. DOI: 10.4171/Pm/1977  0.438
2016 Brake DA, Hauenstein JD, Murray AP, Myszka DH, Wampler CW. The Complete Solution of Alt–Burmester Synthesis Problems for Four-Bar Linkages Journal of Mechanisms and Robotics. 8. DOI: 10.1115/1.4033251  0.403
2016 Sidky H, Liddell AC, Mehta D, Hauenstein JD, Whitmer JK. Algebraic Geometric Method for Calculating Phase Equilibria from Fundamental Equations of State Industrial & Engineering Chemistry Research. 55: 11363-11370. DOI: 10.1021/Acs.Iecr.6B02597  0.447
2016 Hauenstein JD, Liddell AC. Certified predictor–corrector tracking for Newton homotopies Journal of Symbolic Computation. 74: 239-254. DOI: 10.1016/J.Jsc.2015.07.001  0.322
2016 Daleo NS, Hauenstein JD. Numerically deciding the arithmetically Cohen–Macaulayness of a projective scheme Journal of Symbolic Computation. 72: 128-146. DOI: 10.1016/J.Jsc.2015.01.001  0.356
2016 Bates DJ, Hauenstein JD, Niemerg ME, Sottile F. Software for the Gale transform of fewnomial systems and a Descartes rule for fewnomials Numerical Algorithms. 1-24. DOI: 10.1007/S11075-015-0095-2  0.425
2016 Brake DA, Hauenstein JD, Sommese AJ. Numerical local irreducible decomposition Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 9582: 124-129. DOI: 10.1007/978-3-319-32859-1_9  0.704
2015 Mehta D, Daleo NS, Dörfler F, Hauenstein JD. Algebraic geometrization of the Kuramoto model: Equilibria and stability analysis. Chaos (Woodbury, N.Y.). 25: 053103. PMID 26026315 DOI: 10.1063/1.4919696  0.435
2015 Mehta D, Hauenstein JD, Niemerg M, Simm NJ, Stariolo DA. Energy landscape of the finite-size mean-field 2-spin spherical model and topology trivialization. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 91: 022133. PMID 25768484 DOI: 10.1103/Physreve.91.022133  0.418
2015 Griffin ZA, Hauenstein JD. Real solutions to systems of polynomial equations and parameter continuation Advances in Geometry. 15. DOI: 10.1515/Advgeom-2015-0004  0.487
2015 Hauenstein JD, Lerario A, Lundberg E, Mehta D. Experiments on the zeros of harmonic polynomials using certified counting Experimental Mathematics. 24: 133-141. DOI: 10.1080/10586458.2014.966180  0.417
2015 Hauenstein JD, Hein N, Sottile F. A Primal-Dual Formulation for Certifiable Computations in Schubert Calculus Foundations of Computational Mathematics. 16: 941-963. DOI: 10.1007/S10208-015-9270-Z  0.457
2015 Gesmundo F, Hauenstein JD, Ikenmeyer C, Landsberg JM. Complexity of Linear Circuits and Geometry Foundations of Computational Mathematics. 16: 599-635. DOI: 10.1007/S10208-015-9258-8  0.37
2015 Hauenstein JD, Huang R, Mehta D, Zhang Y. Global structure of curves from generalized unitarity cut of three-loop diagrams Journal of High Energy Physics. 2015: 1-35. DOI: 10.1007/Jhep02(2015)136  0.423
2014 Mehta D, Chen T, Hauenstein JD, Wales DJ. Communication: Newton homotopies for sampling stationary points of potential energy landscapes. The Journal of Chemical Physics. 141: 121104. PMID 25273404 DOI: 10.1063/1.4896657  0.424
2014 Mehta D, Hauenstein JD, Wales DJ. Certification and the potential energy landscape. The Journal of Chemical Physics. 140: 224114. PMID 24929381 DOI: 10.1063/1.4881638  0.446
2014 Mehta D, Daleo NS, Hauenstein JD, Seaton C. Gauge-fixing on the lattice via orbifolding Physical Review D - Particles, Fields, Gravitation and Cosmology. 90. DOI: 10.1103/Physrevd.90.054504  0.315
2014 Hao W, Hauenstein JD, Hu B, Sommese AJ. A bootstrapping approach for computing multiple solutions of differential equations Journal of Computational and Applied Mathematics. 258: 181-190. DOI: 10.1016/J.Cam.2013.09.007  0.773
2014 Bates DJ, Decker W, Hauenstein JD, Peterson C, Pfister G, Schreyer FO, Sommese AJ, Wampler CW. Comparison of probabilistic algorithms for analyzing the components of an affine algebraic variety Applied Mathematics and Computation. 231: 619-633. DOI: 10.1016/J.Amc.2013.12.165  0.732
2014 Hauenstein JD, Sottile F. Newton Polytopes and Witness Sets Mathematics in Computer Science. 8: 235-251. DOI: 10.1007/S11786-014-0189-6  0.393
2014 Bates DJ, Brake DA, Hauenstein JD, Sommese AJ, Wampler CW. On computing a cell decomposition of a real surface containing infinitely many singularities Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 8592: 246-252. DOI: 10.1007/978-3-662-44199-2_39  0.629
2014 Brake DA, Bates DJ, Hao W, Hauenstein JD, Sommese AJ, Wampler C. Bertini-real: Software for one- and two-dimensional real algebraic sets Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 8592: 175-182. DOI: 10.1007/978-3-662-44199-2_29  0.627
2013 Mehta D, Hauenstein JD, Wales DJ. Communication: Certifying the potential energy landscape. The Journal of Chemical Physics. 138: 171101. PMID 23656107 DOI: 10.1063/1.4803162  0.382
2013 Hauenstein JD, Ikenmeyer C, Landsberg JM. Equations for Lower Bounds on Border Rank Experimental Mathematics. 22: 372-383. DOI: 10.1080/10586458.2013.825892  0.353
2013 Bates DJ, Hauenstein JD, McCoy TM, Peterson C, Sommese AJ. Recovering exact results from inexact numerical data in algebraic geometry Experimental Mathematics. 22: 38-50. DOI: 10.1080/10586458.2013.737640  0.714
2013 Hao W, Hauenstein JD, Shu C, Sommese AJ, Xu Z, Zhang Y. A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws Journal of Computational Physics. 250: 332-346. DOI: 10.1016/J.Jcp.2013.05.008  0.75
2013 Hao W, Hauenstein JD, Hu B, McCoy T, Sommese AJ. Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation Journal of Computational and Applied Mathematics. 237: 326-334. DOI: 10.1016/J.Cam.2012.06.001  0.767
2013 Hauenstein JD, Sommese AJ. Membership tests for images of algebraic sets by linear projections Applied Mathematics and Computation. 219: 6809-6818. DOI: 10.1016/J.Amc.2012.12.060  0.663
2013 Hauenstein JD, Wampler CW. Numerically intersecting algebraic varieties via witness sets Applied Mathematics and Computation. 219: 5730-5742. DOI: 10.1016/J.Amc.2012.06.034  0.446
2013 Hauenstein JD, Wampler CW. Isosingular Sets and Deflation Foundations of Computational Mathematics. 13: 371-403. DOI: 10.1007/S10208-013-9147-Y  0.46
2013 Hauenstein J, He Y, Mehta D. Numerical elimination and moduli space of vacua Journal of High Energy Physics. 2013. DOI: 10.1007/Jhep09(2013)083  0.336
2012 Mehta D, Hauenstein JD, Kastner M. Energy-landscape analysis of the two-dimensional nearest-neighbor φ⁴ model. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 85: 061103. PMID 23005047 DOI: 10.1103/Physreve.85.061103  0.357
2012 Hauenstein JD, Sottile F. Algorithm 921 Acm Transactions On Mathematical Software. 38: 1-20. DOI: 10.1145/2331130.2331136  0.39
2012 Blekherman G, Hauenstein J, Ottem JC, Ranestad K, Sturmfels B. Algebraic boundaries of Hilbert™s SOS cones Compositio Mathematica. 148: 1717-1735. DOI: 10.1112/S0010437X12000437  0.412
2012 Hao W, Hauenstein JD, Hu B, Liu Y, Sommese AJ, Zhang Y. Bifurcation for a free boundary problem modeling the growth of a tumor with a necrotic core Nonlinear Analysis: Real World Applications. 13: 694-709. DOI: 10.1016/J.Nonrwa.2011.08.010  0.739
2012 Tari H, Su HJ, Hauenstein JD. Classification and complete solution of the kinetostatics of a compliant Stewart-Gough platform Mechanism and Machine Theory. 49: 177-186. DOI: 10.1016/J.Mechmachtheory.2011.10.011  0.453
2012 Besana GM, Di Rocco S, Hauenstein JD, Sommese AJ, Wampler CW. Cell decomposition of almost smooth real algebraic surfaces Numerical Algorithms. 63: 645-678. DOI: 10.1007/S11075-012-9646-Y  0.685
2012 Hao W, Hauenstein JD, Hu B, Liu Y, Sommese AJ, Zhang Y. Continuation Along Bifurcation Branches for a Tumor Model with a Necrotic Core Journal of Scientific Computing. 53: 395-413. DOI: 10.1007/S10915-012-9575-X  0.749
2012 Hauenstein JD. Numerically Computing Real Points on Algebraic Sets Acta Applicandae Mathematicae. 125: 105-119. DOI: 10.1007/S10440-012-9782-3  0.408
2012 Mehta D, He Y, Hauenstein JD. Numerical algebraic geometry: a new perspective on gauge and string theories Journal of High Energy Physics. 2012. DOI: 10.1007/Jhep07(2012)018  0.435
2011 Wampler CW, Hauenstein JD, Sommese AJ. Mechanism mobility and a local dimension test Mechanism and Machine Theory. 46: 1193-1206. DOI: 10.1016/J.Mechmachtheory.2011.04.011  0.66
2011 Hao W, Hauenstein JD, Hu B, Sommese AJ. A three-dimensional steady-state tumor system Applied Mathematics and Computation. 218: 2661-2669. DOI: 10.1016/J.Amc.2011.08.006  0.759
2011 Hauenstein JD, Sommese AJ, Wampler CW. Regenerative cascade homotopies for solving polynomial systems Applied Mathematics and Computation. 218: 1240-1246. DOI: 10.1016/J.Amc.2011.06.004  0.736
2011 Bates DJ, Hauenstein JD, Sommese AJ. Efficient path tracking methods Numerical Algorithms. 58: 451-459. DOI: 10.1007/S11075-011-9463-8  0.689
2010 Hao W, Hauenstein JD, Hu B, Liu Y, Sommese AJ, Zhang Y. Multiple Stable Steady States Of A Reaction-Diffusion Model On Zebrafish Dorsal-Ventral Patterning Discrete and Continuous Dynamical Systems - Series S. 4: 1413-1428. DOI: 10.3934/Dcdss.2011.4.1413  0.642
2010 Hauenstein JD, Sommese AJ, Wampler CW. Regeneration homotopies for solving systems of polynomials Mathematics of Computation. 80: 345-377. DOI: 10.1090/S0025-5718-2010-02399-3  0.733
2010 Hauenstein JD, Sommese AJ. Witness sets of projections Applied Mathematics and Computation. 217: 3349-3354. DOI: 10.1016/J.Amc.2010.08.067  0.674
2009 Al-Khateeb AN, Powers JM, Paolucci S, Sommese AJ, Diller JA, Hauenstein JD, Mengers JD. One-dimensional slow invariant manifolds for spatially homogenous reactive systems. The Journal of Chemical Physics. 131: 024118. PMID 19603981 DOI: 10.1063/1.3171613  0.669
2009 Bates DJ, Hauenstein JD, Peterson C, Sommese AJ. A Numerical Local Dimension Test for Points on the Solution Set of a System of Polynomial Equations Siam Journal On Numerical Analysis. 47: 3608-3623. DOI: 10.1137/08073264X  0.726
2008 Bates DJ, Hauenstein JD, Sommese AJ, Wampler CW. Adaptive multiprecision path tracking Siam Journal On Numerical Analysis. 46: 722-746. DOI: 10.1137/060658862  0.669
Show low-probability matches.