{"id":19,"date":"2012-09-05T11:22:25","date_gmt":"2012-09-05T15:22:25","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/template\/?page_id=19"},"modified":"2026-04-07T10:39:43","modified_gmt":"2026-04-07T14:39:43","slug":"publications","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/spollock\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"\n<section class=\"fullwidth-text-block\"><div class=\"container px-0\"><div class=\"row align-items-start\"><div class=\"col-12\">\n<h1 class=\"wp-block-heading\">Publications<\/h1>\n\n\n\n<h4 class=\"wp-block-heading\">focus areas:<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"#nonlinear\">numerical analysis of nonlinear, higher order and eigenvalue problems<\/a><\/li>\n\n\n\n<li><a href=\"#multi\">multiscale methods and goal-oriented adaptivity<\/a><\/li>\n\n\n\n<li><a href=\"#ik\">inverse kinematics and computational geometry<\/a><\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image is-resized\"><a href=\"https:\/\/epubs.siam.org\/doi\/book\/10.1137\/1.9781611978490\"><img loading=\"lazy\" decoding=\"async\" width=\"209\" height=\"300\" src=\"http:\/\/people.clas.ufl.edu\/spollock\/files\/aanpdecover-209x300.png\" alt=\"Picture of book: Anderson acceleration for numerical PDEs\" class=\"wp-image-1023\" style=\"width:118px;height:auto\" srcset=\"https:\/\/people.clas.ufl.edu\/spollock\/files\/aanpdecover-209x300.png 209w, https:\/\/people.clas.ufl.edu\/spollock\/files\/aanpdecover-200x287.png 200w, https:\/\/people.clas.ufl.edu\/spollock\/files\/aanpdecover.png 286w\" sizes=\"auto, (max-width: 209px) 100vw, 209px\" \/><\/a><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">book:<\/h4>\n\n\n\n<p>Anderson Acceleration for Numerical PDEs, S. Pollock and L. Rebholz, SIAM, 2025. ISBN: <a href=\"https:\/\/epubs.siam.org\/doi\/book\/10.1137\/1.9781611978490\" target=\"_blank\" rel=\"noopener\">978-1-61197-848-3<\/a><\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><span style=\"text-decoration: underline\">nonlinear, higher order and eigenvalue problems<\/span><\/h4>\n\n\n\n<p>M. Baker and S. Pollock, Applying acceleration to Krylov subspace eigenvalue solvers, submitted, 2026. preprint: <a href=\"https:\/\/arxiv.org\/abs\/2603.20590\">https:\/\/arxiv.org\/abs\/2603.20590<\/a><\/p>\n\n\n\n<p>X. Hu, S. Pollock, Z. Xue and Y. Zhu, An adaptive framework for first-order gradient methods, submitted, 2026. preprint:&nbsp;<a href=\"https:\/\/arxiv.org\/abs\/2602.13620\" target=\"_blank\" rel=\"noopener\">https:\/\/arxiv.org\/abs\/2602.13620<\/a>.<\/p>\n\n\n\n<p>A. M. Davies, S. Pollock, M. E. Dennis and A. V. Rao, Optimal control of parabolic partial differential equations using Radau collocation. Journal of the Franklin Institute, 363 (7), 2026, 108595. DOI: <a href=\"https:\/\/doi.org\/10.1016\/j.jfranklin.2026.108595\">10.1016\/j.jfranklin.2026.108595<\/a><\/p>\n\n\n\n<p>A. Barletta, N. F. Marshall and S. Pollock, Momentum accelerated power iterations and the restarted Lanczos method, Frontiers in Applied Mathematics, 1, p. 1-21, 2026. preprint:\u00a0<a href=\"https:\/\/arxiv.org\/abs\/2511.05364\" target=\"_blank\" rel=\"noopener\">https:\/\/arxiv.org\/abs\/2511.05364<\/a>. DOI: <a href=\"https:\/\/www.aimsciences.org\/article\/doi\/10.3934\/fam.2026001\">10.3934\/fam.2026001<\/a><\/p>\n\n\n\n<p>P. Cowal, N. F. Marshall and S. Pollock, Random walks, Faber polynomials, and accelerated power methods, submitted, 2025. preprint: <a href=\"https:\/\/arxiv.org\/abs\/2510.24608\" target=\"_blank\" rel=\"noopener\">https:\/\/arxiv.org\/abs\/2510.24608<\/a>. <a href=\"https:\/\/github.com\/petercowal\/random-walk-power-methods\" target=\"_blank\" rel=\"noopener\">code@github<\/a><\/p>\n\n\n\n<p>P. Cowal, N. F. Marshall and S. Pollock, Faber polynomials in a deltoid region and power iteration momentum methods, submitted, 2025. preprint:&nbsp;<a href=\"https:\/\/arxiv.org\/abs\/2507.01885\" target=\"_blank\" rel=\"noopener\">https:\/\/arxiv.org\/abs\/2507.01885<\/a>. <a href=\"https:\/\/github.com\/petercowal\/higher-order-momentum-power-methods\" target=\"_blank\" rel=\"noopener\">code@github<\/a><\/p>\n\n\n\n<p>A. Davies, M. E. Dennis, S. Pollock and A. Rao, Computational framework for the optimal boundary control of parabolic partial differential equations, submitted, 2025.<\/p>\n\n\n\n<p>C. Austin, S. Pollock and L. Ridgway Scott, A finite element implementation of the SRTD algorithm for an Oldroyd 3 parameter viscoelastic fluid model. Finite Elements in Analysis and Design, 250, 104399, 17 pgs,&nbsp; 2025. preprint: <a href=\"https:\/\/arxiv.org\/abs\/2501.12517\" target=\"_blank\" rel=\"noopener\">https:\/\/arxiv.org\/abs\/2501.12517<\/a>. DOI:&nbsp;<a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0168874X25000885?dgcid=author\" target=\"_blank\" rel=\"noopener\">10.1016\/j.finel.2025.104399<\/a><\/p>\n\n\n\n<p>A. M. Davies, M. E. Dennis, S. Pollock, and A. V. Rao, A flipped Radau finite difference framework for the optimal control of parabolic partial differential equations, in 2025 AAS\/AIAA Spaceflight Mechanics Meeting, 2025, accepted.<\/p>\n\n\n\n<p>S. Pollock and L. R. Scott, Computational analysis of a contraction rheometer for the grade-two fluid model, Advances in Computational Science and Engineering, 2(3), p. 271-294,&nbsp; 2024.&nbsp; preprint: <a href=\"https:\/\/arxiv.org\/abs\/2404.03450\" target=\"_blank\" rel=\"noopener\">arxiv.math.NA\/2404.03450<\/a>. DOI: <a href=\"https:\/\/www.aimsciences.org\/article\/doi\/10.3934\/acse.2024014\" target=\"_blank\" rel=\"noopener\">10.3934\/acse.2024014<\/a>. <a href=\"https:\/\/people.clas.ufl.edu\/spollock\/codes\/\" target=\"_blank\" rel=\"noopener\">code<\/a><\/p>\n\n\n\n<p>C. Austin, S. Pollock and Y. Zhu, Dynamically accelerating the power iteration with momentum, Numerical Linear Algebra and with Applications, Numerical Linear Algebra with Applications, 31(6), e2584, 24 pgs, 2024. preprint: <a href=\"https:\/\/arxiv.org\/abs\/2403.09618\" target=\"_blank\" rel=\"noopener\">arxiv.math.NA\/2403.09618<\/a>. DOI: <a href=\"https:\/\/onlinelibrary.wiley.com\/doi\/full\/10.1002\/nla.2584\" target=\"_blank\" rel=\"noopener\">10.1002\/nla.2584<\/a><\/p>\n\n\n\n<p>S. Pollock, L. G.&nbsp; Rebholz, X. Tu and&nbsp; M. Xiao, Analysis of the Picard-Newton iteration for the Navier-Stokes equations: global stability and quadratic convergence, Journal of Scientific Computing, 104, 25, 23 pgs, 2025. preprint: <a href=\"https:\/\/arxiv.org\/abs\/2402.12304\" target=\"_blank\" rel=\"noopener\">arXiv:math.NA\/2402.12304<\/a>. publisher&#8217;s full-text: <a href=\"https:\/\/rdcu.be\/en4FM\" target=\"_blank\" rel=\"noopener\">https:\/\/link.springer.com\/article\/10.1007\/s10915-025-02946-6<\/a>. DOI:&nbsp;<a href=\"https:\/\/link.springer.com\/article\/10.1007\/s10915-025-02946-6\" target=\"_blank\" rel=\"noopener\">10.1007\/s10915-025-02946-6<\/a><\/p>\n\n\n\n<p>M. Dallas, S. Pollock and L. G. Rebholz, Analysis of an adaptive safeguarded Newton-Anderson algorithm of depth one with applications to fluid problems, Advances in Computational Science and Engineering, 2(3), p. 246-270, 2024.&nbsp; preprint: <a href=\"https:\/\/arxiv.org\/abs\/2402.09295\" target=\"_blank\" rel=\"noopener\">arXiv:math.NA\/2402.09295<\/a>. DOI:<a href=\"https:\/\/www.aimsciences.org\/article\/doi\/10.3934\/acse.2024013\" target=\"_blank\" rel=\"noopener\">10.3934\/acse.2024013<\/a>.<\/p>\n\n\n\n<p>S. Pollock and R. Shroff, Accelerating the Computation of Tensor Z-eigenvalues, La Matematica, 2025. preprint: <a href=\"https:\/\/arxiv.org\/abs\/2307.11908\" target=\"_blank\" rel=\"noopener\">arXiv:math.NA\/2307.11908<\/a>. DOI: <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s44007-025-00173-x\" target=\"_blank\" rel=\"noopener\">10.1007\/s44007-025-00173-x<\/a>. <a href=\"https:\/\/github.com\/rhea-shroff\/Accelerating-Computation-of-Tensor-Z-Eigenvalues\" target=\"_blank\" rel=\"noopener\">code@gitub<\/a><\/p>\n\n\n\n<p>S. Pollock and L. G. Rebholz, Filtering for Anderson Acceleration, SIAM J. Sci. Comput., 45(4), p. A1571-A1590, 2023. DOI: <a href=\"https:\/\/doi.org\/10.1137\/22M1536741\" target=\"_blank\" rel=\"noopener\">10.1137\/22M1536741<\/a>. preprint: <a href=\"https:\/\/arxiv.org\/abs\/2211.12953\" target=\"_blank\" rel=\"noopener\">arxiv.math.NA\/2211.12953<\/a><\/p>\n\n\n\n<p>M. Dallas and S. Pollock, Newton-Anderson at singular points, International Journal of Numerical Analysis and Modeling, 20(5), p. 667-692, 2023. DOI: <a href=\"https:\/\/people.clas.ufl.edu\/spollock\/content-removed\/\" target=\"_blank\" rel=\"noopener\">10.4208\/ijnam2023-1029<\/a>. preprint: <a href=\"https:\/\/arxiv.org\/abs\/2207.12334\" target=\"_blank\" rel=\"noopener\">arxiv.math.NA\/2207.12334<\/a><\/p>\n\n\n\n<p>S. Pollock, L. G. Rebholz and D. Vargun, Anderson Acceleration for a regularized Bingham model, Numer. Meth. Part. D.E., 39 (2023), p. 3874\u2013 3896. DOI: <a href=\"https:\/\/onlinelibrary.wiley.com\/doi\/full\/10.1002\/num.23028\" target=\"_blank\" rel=\"noopener\">10.1002\/num.23028<\/a>. preprint: <a href=\"https:\/\/arxiv.org\/abs\/2108.08945\" target=\"_blank\" rel=\"noopener\">arxiv.math.NA\/2108.08945<\/a><\/p>\n\n\n\n<p>S. Pollock and L. R. Scott, An algorithm for the grade-two rheological model, ESAIM M2AN, 56(3), p. 1007-1025, 2022. DOI:<a href=\"https:\/\/doi.org\/10.1051\/m2an\/2022024\" target=\"_blank\" rel=\"noopener\">10.1051\/m2an\/2022024<\/a><\/p>\n\n\n\n<p>L. R. Scott and S. Pollock, Transport equations with inflow boundary conditions, Partial Differential Equations and Applications, 3(35), 2022. DOI: <a href=\"https:\/\/doi.org\/10.1007\/s42985-022-00169-0\" target=\"_blank\" rel=\"noopener\">10.1007\/s42985-022-00169-0<\/a><\/p>\n\n\n\n<p>S. Pollock and L. R. Scott, Extrapolating the Arnoldi algorithm to improve eigenvector convergence, International Journal of Numerical Analysis and Modeling, 18(5), p. 712-721, 2021.<br> preprint: <a href=\"https:\/\/arxiv.org\/abs\/2103.08635\" target=\"_blank\" rel=\"attachment noopener wp-att-555\">arXiv:math.NA\/2103.08635<\/a>.<\/p>\n\n\n\n<p>S. Pollock and L.R. Scott, Using small eigenproblems to accelerate power method iterations, <a href=\"https:\/\/newtraell.cs.uchicago.edu\/research\/publications\/techreports\/TR-2021-10\" target=\"_blank\" rel=\"noopener\">Research Report UC\/CS TR-2021-10<\/a>, Dept. Comp. Sci., Univ. Chicago, 2021.<\/p>\n\n\n\n<p>S. Pollock, Anderson acceleration for degenerate and nondegenerate problems.<br>\nIn <em>Deterministic and Stochastic Optimal Control and Inverse Problems<\/em>,<br>\nB. Jadamba, A. Khan, S. Migorski and M. Sama, ed.,<span class=\"citationText\"> CRC Press. <\/span>2021. <a href=\"https:\/\/www.taylorfrancis.com\/chapters\/edit\/10.1201\/9781003050575-9\/anderson-acceleration-degenerate-nondegenerate-problems-sara-pollock?context=ubx\" target=\"_blank\" rel=\"noopener\">Chapter<\/a>. Book DOI: <a href=\"https:\/\/www.taylorfrancis.com\/books\/edit\/10.1201\/9781003050575\/deterministic-stochastic-optimal-control-inverse-problems-baasansuren-jadamba-akhtar-khan-stanis%C5%82aw-mig%C3%B3rski-miguel-sama?refId=eab204c7-0474-45f9-9194-3b7dc911983e&amp;context=ubx\" target=\"_blank\" rel=\"noopener\">10.1201\/9781003050575 <\/a>.<\/p>\n\n\n\n<p>N. Nigam and S. Pollock, A simple extrapolation method for clustered eigenvalues, published online, Numerical Algorithms, 89, p. 115-143, 2022. preprint: <a href=\"https:\/\/arxiv.org\/abs\/2006.10164\" target=\"_blank\" rel=\"attachment noopener wp-att-555\">arXiv:math.NA\/2006.10164<\/a>.<br>\n<a href=\"https:\/\/rdcu.be\/ciQaO\" target=\"_blank\" rel=\"noopener\">Journal article @ SpringerNature<\/a>. DOI: <a href=\"http:\/\/link.springer.com\/article\/10.1007\/s11075-021-01108-7\" target=\"_blank\" rel=\"noopener\">10.1007\/s11075-021-01108-7<\/a><\/p>\n\n\n\n<p>S. Pollock, L. G. Rebholz and M. Xiao, Acceleration of nonlinear solvers for natural convection problems, Journal of Numerical Mathematics, 24(4), p. 323-341, 2021.<br>\nDOI: <a href=\"https:\/\/doi.org\/10.1515\/jnma-2020-0067\" target=\"_blank\" rel=\"noopener\">10.1515\/jnma-2020-0067<\/a>. preprint: <a href=\"https:\/\/arxiv.org\/abs\/2004.06471\" target=\"_blank\" rel=\"noopener\">arXiv:math.NA\/2004.06471<\/a><\/p>\n\n\n\n<p>S. Pollock and H. Schwartz, Benchmarking results for the Newton-Anderson method, Results in Applied Mathematics, 8, 11 pages, 2020. <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S2590037420300054?via%3Dihub\">Open access<\/a>. DOI: <a class=\"doi\" title=\"Persistent link using digital object identifier\" href=\"https:\/\/doi.org\/10.1016\/j.rinam.2020.100095\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\"Persistent link using digital object identifier\">10.1016\/j.rinam.2020.100095.<\/a><\/p>\n\n\n\n<p>S. Pollock and L. G. Rebholz, Anderson acceleration for contractive and noncontractive operators, IMA Journal of Numerical Analysis, 41(4), p. 2841-2872, 2021.<br>\nDOI: <a href=\"https:\/\/doi.org\/10.1093\/imanum\/draa095\" target=\"_blank\" rel=\"noopener\">10.1093\/imanum\/draa095<\/a>. preprint: <a id=\"ref\" href=\"https:\/\/arxiv.org\/abs\/1909.04638\" target=\"_blank\" rel=\"noopener\">arXiv:math.NA\/1909.04638<\/a>.<\/p>\n\n\n\n<p>C. Evans, S. Pollock, L. G. Rebholz and M. Xiao, A proof that Anderson acceleration improves the convergence rate in linearly converging fixed point methods (but not in those converging quadratically), SIAM J. Numer. Anal., 58(1), p. 788-810, 2020.<br>\nDOI: <a href=\"https:\/\/doi.org\/10.1137\/19M1245384\" target=\"_blank\" rel=\"noopener\">10.1137\/19M1245384<\/a>.&nbsp;&nbsp; preprint: <a id=\"ref\" href=\"https:\/\/arxiv.org\/abs\/1810.08455\" target=\"_blank\" rel=\"noopener\">arXiv:math.NA\/1810.08455<\/a>.<\/p>\n\n\n\n<p>S. Pollock, L. G. Rebholz and M. Xiao, Anderson-accelerated convergence of Picard iterations for<br>\nincompressible Navier-Stokes equations, SIAM J. Numer. Anal., 57(2), p. 615\u2013637, 2019.<br>\nDOI: <a id=\"ref\" href=\"https:\/\/doi.org\/10.1137\/18M1206151\" target=\"_blank\" rel=\"noopener\">10.1137\/18M1206151<\/a>.&nbsp;&nbsp; preprint: <a id=\"ref\" href=\"https:\/\/arxiv.org\/abs\/1810.08494\" target=\"_blank\" rel=\"noopener\">arXiv:math.NA\/1810.08494<\/a>.&nbsp;&nbsp; <a href=\"https:\/\/people.clas.ufl.edu\/spollock\/content-removed\/\" rel=\"attachment wp-att-287\">pdf<\/a> (Copyright \u00a9 by SIAM)<\/p>\n\n\n\n<p>S. Pollock and Y. Zhu, A matrix analysis approach to discrete comparison principles for nonmonotone PDE, Numer. Algor., 83(3), p. 1007-1027, 2020.<br>\nDOI:<a href=\"https:\/\/link.springer.com\/article\/10.1007%2Fs11075-019-00713-x\" target=\"_blank\" rel=\"noopener\">10.1007\/s11075-019-00713-x <\/a>. preprint: <a id=\"ref\" href=\"https:\/\/arxiv.org\/abs\/1711.07506\" target=\"_blank\" rel=\"noopener\">arXiv:math.NA\/1711.07506<\/a>. publisher&#8217;s <a href=\"https:\/\/link.springer.com\/epdf\/10.1007\/s11075-019-00713-x?author_access_token=3VRujMSp39-ul5362KlNx_e4RwlQNchNByi7wbcMAY4Yv0R1-13hBHNGOhHyuyFerkKcZZl0w76y3AEz5G2UkN5Ha_qa43uRWfJx5BFOEETr-arBLsvrBCHTne6W84Bcx1w1i6DoUo_EVJMBovmfpQ%3D%3D\">full-text (view only)<\/a>.<\/p>\n\n\n\n<p>S. Pollock and Y. Zhu, Discrete comparison principles for quasilinear elliptic PDE, Appl. Numer. Math., 156, p. 106-124, 2020. DOI: <a href=\"https:\/\/doi.org\/10.1016\/j.apnum.2020.04.013\" target=\"_blank\" rel=\"noopener\">10.1016\/j.apnum.2020.04.013<\/a>.&nbsp; preprint:&nbsp; <a id=\"ref\" href=\"https:\/\/arxiv.org\/abs\/1708.02301\" target=\"_blank\" rel=\"noopener\">arXiv:math.NA\/1708.02301<\/a>.<\/p>\n\n\n\n<p>S. Pollock and Y. Zhu, Uniqueness of discrete solutions of nonmonotone PDEs without a globally fine mesh condition, Numer. Math., 139 (4), p. 845-865, 2018.<br>\nDOI: <a id=\"ref\" href=\"https:\/\/doi.org\/10.1007\/s00211-018-0956-4\" target=\"_blank\" rel=\"noopener\">10.1007\/s00211-018-0956-4<\/a>.&nbsp;&nbsp; preprint: <a id=\"ref\" href=\"http:\/\/arxiv.org\/abs\/1704.04319\" target=\"_blank\" rel=\"noopener\">arXiv:math.NA\/1704.04319<\/a>.<\/p>\n\n\n\n<p>S. Pollock, Stabilized and inexact adaptive methods for capturing internal layers in quasilinear PDE, J. Comput. Appl. Math., 308, p 243-262, 2016.<br>\nDOI: <a id=\"ref\" href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0377042716302813\" target=\"_blank\" rel=\"noopener\">10.1016\/j.cam.2016.06.011<\/a>.&nbsp;&nbsp; preprint: <a id=\"ref\" href=\"http:\/\/arxiv.org\/abs\/1507.06965\" target=\"_blank\" rel=\"noopener\">arXiv:math.NA\/1507.06965<\/a>.<\/p>\n\n\n\n<p>S. Brenner, M. Oh, S. Pollock, K. Porwal, M. Schedensack, N. Sharma, A C^0 interior penalty method for elliptic distributed optimal control problems in three dimensions with pointwise state constraints, in Topics in Numerical Partial Differential Equations and Scientific Computing, p 1-22, S. Brenner, ed, IMA Volumes in Mathematics and Its Applications, 160, 2016<\/p>\n\n\n\n<p>S. Pollock, An improved method for solving quasilinear convection diffusion problems, SIAM J. Sci. Comput., 38-2, p A1121-A1145, 2016.<br>\nDOI: <a id=\"ref\" href=\"http:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/15M1007823\" target=\"_blank\" rel=\"noopener\">10.1137\/15M1007823<\/a>.&nbsp;&nbsp; preprint: <a id=\"ref\" href=\"http:\/\/arxiv.org\/abs\/1502.02629\" target=\"_blank\" rel=\"noopener\">arXiv:math.NA\/1502.02629<\/a>.<\/p>\n\n\n\n<p>S. Pollock, A regularized Newton-like method for nonlinear PDE, Numer. Func. Anal. Opt., 36(11), p 1493-1511, 2015.<br>\nDOI: <a id=\"ref\" href=\"http:\/\/www.tandfonline.com\/doi\/full\/10.1080\/01630563.2015.1069328\" target=\"_blank\" rel=\"noopener\">10.1080\/01630563.2015.1069328<\/a>.&nbsp;&nbsp; preprint: <a id=\"ref\" href=\"http:\/\/arxiv.org\/abs\/1412.6487\" target=\"_blank\" rel=\"noopener\">arXiv:math.NA\/1412.6487<\/a>.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><span style=\"text-decoration: underline\">multiscale methods and goal-oriented adaptivity<\/span><\/h4>\n\n\n\n<p>E. Chung, S. Pollock, S. M. Pun, Online basis construction for goal-oriented adaptivity in the Generalized Multiscale Finite Element Method,<br>\nJ. Comput. Phys., 393, p. 59-73, 2019.<br>\nDOI: <a id=\"ref\" href=\"https:\/\/doi.org\/10.1016\/j.jcp.2019.05.009\" target=\"_blank\" rel=\"noopener\">10.1016\/j.jcp.2019.05.009<\/a>. preprint: <a id=\"ref\" href=\"https:\/\/arxiv.org\/abs\/1812.02290\" target=\"_blank\" rel=\"noopener\">arXiv:math.NA\/1812.02290<\/a><\/p>\n\n\n\n<p>E. T. Chung, S. Pollock, S. M. Pun, Goal-oriented adaptivity of mixed GMsFEM for flows in heterogeneous media, Comput. Methods Appl. Mech. Eng., 323, p 151-173, 2017.<br>\n<a id=\"ref\" href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0045782516315195\" target=\"_blank\" rel=\"noopener\">DOI: 10.1016\/j.cma.2017.05.019<\/a><\/p>\n\n\n\n<p>E.T. Chung, W.T. Leung, S. Pollock, Goal-oriented adaptivity for GMsFEM, J. Comput. Appl. Math., 296, p 625-637, 2016.<br>\nDOI: <a id=\"ref\" href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S037704271500521X\" target=\"_blank\" rel=\"noopener\">10.1016\/j.cam.2015.10.021<\/a>.&nbsp;&nbsp; preprint: <a id=\"ref\" href=\"http:\/\/arxiv.org\/abs\/1509.05643\" target=\"_blank\" rel=\"noopener\">arXiv:math.NA\/1509.05643<\/a>.<\/p>\n\n\n\n<p>M. Holst, S. Pollock, and Y. Zhu, Convergence of goal-oriented adaptive finite element methods for semilinear problems, Comp. Vis. Sci., 17(1), p 43-63, 2015.<br>\nDOI: <a id=\"ref\" href=\"https:\/\/link.springer.com\/article\/10.1007\/s00791-015-0243-1\" target=\"_blank\" rel=\"noopener\">10.1007\/s00791-015-0243-1<\/a>.&nbsp;&nbsp; preprint: <a id=\"ref\" href=\"http:\/\/arxiv.org\/abs\/1203.1381\" target=\"_blank\" rel=\"noopener\">arXiv:math.NA\/1203.1381<\/a>.<\/p>\n\n\n\n<p>M. Holst and S. Pollock, Convergence of goal-oriented adaptive finite element methods for nonsymmetric problems, Numer. Meth. Part. D.E., 32(2), p 479-509, 2016.<br>\nDOI: <a id=\"ref\" href=\"http:\/\/dx.doi.org\/10.1002\/num.22002\" target=\"_blank\" rel=\"noopener\">10.1002\/num.22002<\/a>.&nbsp;&nbsp; preprint: <a id=\"ref\" href=\"http:\/\/arxiv.org\/abs\/1108.3660\" target=\"_blank\" rel=\"noopener\">arXiv:math.NA\/1108.3660<\/a>.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><span style=\"text-decoration: underline\">inverse kinematics<\/span><\/h4>\n\n\n\n<p>X. Cao, E. A. Coutsias, and S. Pollock,&nbsp; Numerically stable solution to the 6R problem of inverse kinematics, Advances in Computational Science and Engineering, 2023, 1(2), p. 123-161. DOI: <a href=\"https:\/\/www.aimsciences.org\/article\/doi\/10.3934\/acse.2023006\" target=\"_blank\" rel=\"noopener\">10.3934\/acse.2023006<\/a><\/p>\n\n\n\n<p>E. A. Coutsias, K. W. Lexa, M. J. Wester, S. N. Pollock, and M. P. Jacobson, Exhaustive conformational sampling of complex fused ring macrocycles using inverse kinematics, J. Chem. Theory Comput., 12 (9), p 4674-4687, 2016.<br>\nDOI: <a id=\"ref\" href=\"http:\/\/pubs.acs.org\/doi\/abs\/10.1021\/acs.jctc.6b00250\" target=\"_blank\" rel=\"noopener\">10.1021\/acs.jctc.6b00250<\/a><\/p>\n\n\n\n<p>W.M. Brown, S. Martin, S.N. Pollock, E.A. Coutsias, and J.P. Watson, Algorithmic dimensionality reduction for molecular structure analysis, J. Chem. Phys. 129(6): 064118, 2008.<br>\nDOI: <a id=\"ref\" href=\"http:\/\/www.ncbi.nlm.nih.gov\/pubmed\/18715062\" target=\"_blank\" rel=\"noopener\">10.1063\/1.2968610<\/a>.<\/p>\n\n\n\n<p>S.N. Pollock, E.A. Coutsias, M.J. Wester and T.I. Oprea, Scaffold topologies I: exhaustive enumeration up to eight rings, J. Chem. Inf. Model, 48(7), p. 1304-1310, 2008.<br>\nDOI: <a id=\"ref\" href=\"http:\/\/pubs.acs.org\/doi\/abs\/10.1021\/ci7003412\" target=\"_blank\" rel=\"noopener\">10.1021\/ci7003412<\/a>.<\/p>\n\n\n\n<p>M.J. Wester, S.N. Pollock, E.A. Coutsias, T.K. Allu, S. Muresan and T.I. Oprea, Scaffold topologies II: analysis of chemical databases, J. Chem Inf. Model., 48(7), p. 1311-1324, 2008.<br>\nDOI: <a id=\"ref\" href=\"http:\/\/pubs.acs.org\/doi\/abs\/10.1021\/ci700342h\" target=\"_blank\" rel=\"noopener\">10.1021\/ci700342h<\/a>.<\/p>\n<\/div><\/div><\/div><\/section>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":922,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-19","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/spollock\/wp-json\/wp\/v2\/pages\/19","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/spollock\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/spollock\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/spollock\/wp-json\/wp\/v2\/users\/922"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/spollock\/wp-json\/wp\/v2\/comments?post=19"}],"version-history":[{"count":10,"href":"https:\/\/people.clas.ufl.edu\/spollock\/wp-json\/wp\/v2\/pages\/19\/revisions"}],"predecessor-version":[{"id":1202,"href":"https:\/\/people.clas.ufl.edu\/spollock\/wp-json\/wp\/v2\/pages\/19\/revisions\/1202"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/spollock\/wp-json\/wp\/v2\/media?parent=19"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}