PETSc users manual S Balay, S Abhyankar, M Adams, J Brown, P Brune, K Buschelman, ... Argonne National Laboratory, 2019 | 4089 | 2019 |

Three-dimensional model for the effective viscosity of bacterial suspensions BM Haines, A Sokolov, IS Aranson, L Berlyand, DA Karpeev Physical Review E 80 (4), 041922, 2009 | 101 | 2009 |

Normal modes of spin excitations in magnetic nanoparticles M Grimsditch, GK Leaf, HG Kaper, DA Karpeev, RE Camley Physical Review B 69 (17), 174428, 2004 | 100 | 2004 |

Geometric integrators for the nonlinear Schrödinger equation AL Islas, DA Karpeev, CM Schober Journal of computational physics 173 (1), 116-148, 2001 | 99 | 2001 |

Effective viscosity of dilute bacterial suspensions: a two-dimensional model BM Haines, IS Aranson, L Berlyand, DA Karpeev Physical biology 5 (4), 046003, 2008 | 82 | 2008 |

An efficient algorithm for classical density functional theory in three dimensions: Ionic solutions MG Knepley, DA Karpeev, S Davidovits, RS Eisenberg, D Gillespie The Journal of chemical physics 132 (12), 124101, 2010 | 74 | 2010 |

Mesh algorithms for PDE with Sieve I: Mesh distribution MG Knepley, DA Karpeev Scientific Programming 17 (3), 215-230, 2009 | 73 | 2009 |

Stable large-scale solver for Ginzburg–Landau equations for superconductors IA Sadovskyy, AE Koshelev, CL Phillips, DA Karpeyev, A Glatz Journal of Computational Physics 294, 639-654, 2015 | 64 | 2015 |

A model of hydrodynamic interaction between swimming bacteria V Gyrya, IS Aranson, LV Berlyand, D Karpeev Bulletin of mathematical biology 72 (1), 148-183, 2010 | 58 | 2010 |

Miscibility Gap Closure, Interface Morphology, and Phase Microstructure of 3D Li_{x}FePO_{4} Nanoparticles from Surface Wetting and Coherency StrainMJ Welland, D Karpeyev, DT O’Connor, O Heinonen ACS nano 9 (10), 9757-9771, 2015 | 51 | 2015 |

PETSc Users Manual revision 3.13 S Balay, S Abhyankar, MF Adams, J Brown, P Brune, K Buschelman, ... Argonne National Lab.(ANL), Argonne, IL (United States), 2020 | 47 | 2020 |

Polymer piezoelectric energy harvesters for low wind speed D Jun Li, S Hong, S Gu, YY Choi, S Nakhmanson, O Heinonen, ... Applied Physics Letters 104 (1), 012902, 2014 | 40 | 2014 |

Interactions of semiflexible filaments and molecular motors D Karpeev, IS Aranson, LS Tsimring, HG Kaper Physical Review E 76 (5), 051905, 2007 | 20 | 2007 |

Detecting vortices in superconductors: Extracting one-dimensional topological singularities from a discretized complex scalar field CL Phillips, T Peterka, D Karpeyev, A Glatz Physical Review E 91 (2), 023311, 2015 | 19 | 2015 |

A kinetic model for semidilute bacterial suspensions SD Ryan, L Berlyand, BM Haines, DA Karpeev Multiscale Modeling & Simulation 11 (4), 1176-1196, 2013 | 19 | 2013 |

Effective viscosity of bacterial suspensions: A three-dimensional PDE model with stochastic torque BM Haines, IS Aranson, L Berlyand, DA Karpeev Communications on Pure & Applied Analysis 11 (1), 19, 2012 | 17 | 2012 |

An *O*(*N*) and parallel approach to integral problems by a kernel-independent fast multipole method: Application to polarization and magnetization of interacting …X Jiang, J Li, X Zhao, J Qin, D Karpeev, J Hernandez-Ortiz, JJ de Pablo, ... The Journal of Chemical Physics 145 (6), 064307, 2016 | 15 | 2016 |

Magnetic normal modes in nano-particles M Grimsditch, L Giovannini, F Montoncello, F Nizzoli, G Leaf, H Kaper, ... Physica B: Condensed Matter 354 (1-4), 266-270, 2004 | 14 | 2004 |

Extracting, tracking, and visualizing magnetic flux vortices in 3D complex-valued superconductor simulation data H Guo, CL Phillips, T Peterka, D Karpeyev, A Glatz IEEE transactions on visualization and computer graphics 22 (1), 827-836, 2015 | 13 | 2015 |

Effective viscosity of puller-like microswimmers: a renormalization approach S Gluzman, DA Karpeev, LV Berlyand Journal of The Royal Society Interface 10 (89), 20130720, 2013 | 13 | 2013 |