Simulating the dynamics and interactions of flexible fibers in Stokes flows AK Tornberg, MJ Shelley Journal of Computational Physics 196 (1), 8-40, 2004 | 420 | 2004 |

Numerical approximations of singular source terms in differential equations AK Tornberg, B Engquist Journal of Computational Physics 200 (2), 462-488, 2004 | 342 | 2004 |

Discretization of Dirac delta functions in level set methods B Engquist, AK Tornberg, R Tsai Journal of Computational Physics 207 (1), 28-51, 2005 | 290 | 2005 |

A finite element based level-set method for multiphase flow applications AK Tornberg, B Engquist Computing and Visualization in Science 3, 93-101, 2000 | 182 | 2000 |

Regularization techniques for numerical approximation of PDEs with singularities AK Tornberg, B Engquist Journal of Scientific Computing 19, 527-552, 2003 | 136 | 2003 |

A fast multipole method for the three-dimensional Stokes equations AK Tornberg, L Greengard Journal of Computational Physics 227 (3), 1613-1619, 2008 | 129 | 2008 |

High-frequency wave propagation by the segment projection method B Engquist, O Runborg, AK Tornberg Journal of Computational Physics 178 (2), 373-390, 2002 | 107 | 2002 |

A numerical method for simulations of rigid fiber suspensions AK Tornberg, K Gustavsson Journal of Computational Physics 215 (1), 172-196, 2006 | 106 | 2006 |

Interface tracking methods with application to multiphase flows AK Tornberg Numerisk analys och datalogi, 2000 | 102 | 2000 |

Delta function approximations in level set methods by distance function extension S Zahedi, AK Tornberg Journal of Computational Physics 229 (6), 2199-2219, 2010 | 78 | 2010 |

Spectrally accurate fast summation for periodic Stokes potentials D Lindbo, AK Tornberg Journal of Computational Physics 229 (23), 8994-9010, 2010 | 75 | 2010 |

Multi-dimensional quadrature of singular and discontinuous functions AK Tornberg BIT Numerical Mathematics 42, 644-669, 2002 | 70 | 2002 |

Spectral accuracy in fast Ewald-based methods for particle simulations D Lindbo, AK Tornberg Journal of Computational Physics 230 (24), 8744-8761, 2011 | 69 | 2011 |

On diffuse interface modeling and simulation of surfactants in two-phase fluid flow S Engblom, M Do-Quang, G Amberg, AK Tornberg Communications in Computational Physics 14 (4), 879-915, 2013 | 67 | 2013 |

A fast integral equation method for solid particles in viscous flow using quadrature by expansion L af Klinteberg, AK Tornberg Journal of Computational Physics 326, 420-445, 2016 | 59 | 2016 |

Fast and spectrally accurate Ewald summation for 2-periodic electrostatic systems D Lindbo, AK Tornberg The Journal of chemical physics 136 (16), 2012 | 55 | 2012 |

Gravity induced sedimentation of slender fibers K Gustavsson, AK Tornberg Physics of fluids 21 (12), 2009 | 54 | 2009 |

An embedded boundary method for soluble surfactants with interface tracking for two-phase flows S Khatri, AK Tornberg Journal of Computational Physics 256, 768-790, 2014 | 51 | 2014 |

A numerical method for two phase flows with insoluble surfactants S Khatri, AK Tornberg Computers & fluids 49 (1), 150-165, 2011 | 51 | 2011 |

Fast Ewald summation for Stokesian particle suspensions L Af Klinteberg, AK Tornberg International Journal for Numerical Methods in Fluids 76 (10), 669-698, 2014 | 50 | 2014 |