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  • Oct
    13

    ESAM Seminar: Adrianna Gillman on "Fast Direct Solvers for Boundary Integral Equations"

    McCormick-Engineering Sciences and Applied Mathematics (ESAM)

    11:00 AM M416, Technological Institute

    EVENT DETAILS

    Title: Fast Direct Solvers for Boundary Integral Equations

    Speaker: Adrianna Gillman, University of Colorado Boulder

    Abstract: The numerical solution of linear boundary values problems play an important role in the modeling of physical phenomena.

    As practitioners continue to want to solve more complicated problems, it is important to develop robust and efficient numerical methods. For some linear boundary value problems, it is possible to recast the problem as a boundary integral equation which sometimes leads to a reduction in dimensionality. The trade-off for the reduction in dimensionality is the need to solve a dense linear system. Inverting the dense N by N matrix via Gaussian elimination has a computational cost of O(N^3). When N is large, the cost in both memory and computational resources is too high for most practitioners. This talk presents solution techniques that exploit the physics in the boundary integral equation to invert the dense matrix for a cost that scales linearly (or nearly linearly) with N with

    small constants. For example, on a laptop computer, a matrix with N=100,000 can be inverted in 90 seconds and applying the solver takes under a tenth of a second. The speed in which new boundary conditions can be processed makes these methods ideal applications involving many solves such as optimal design and inverse scattering. In these applications, fast direct solvers observe hundreds of times speed up over previously state of the art techniques. Examples of how these techniques can be used to create accelerated solvers for problems where the linear scaling solver is excessive will also be presented.

    Bio: Adrianna Gillman is an Associate Professor in the Department of Mathematics at the University of Colorado, Boulder. In 2018, she was awarded an Alfred P. Sloan Research Fellowship. Her work has been supported by industrial contracts, NSF and, most recently, the Knut and Alice Wallenberg Foundation Grant, in cooperation with the Royal Swedish Academy of Sciences. Gillman’s research lies in the intersection of numerical linear algebra and numerical partial differential equations with an emphasis on developing high order discretizations and efficient solvers for the linear systems that result from these discretizations. Her work has been applied to applications including scattering and Stokes flow.

    Zoom: https://northwestern.zoom.us/j/96310557268

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    TIME Tuesday, October 13, 2026 at 11:00 AM - 12:00 PM

    LOCATION M416, Technological Institute    map it

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    CONTACT Natalie Masini    natalie.masini@northwestern.edu EMAIL

    CALENDAR McCormick-Engineering Sciences and Applied Mathematics (ESAM)

  • Oct
    6

    ESAM Seminar: Ehud Yariv on "Mobility of Particles in Viscous Membranes"

    McCormick-Engineering Sciences and Applied Mathematics (ESAM)

    11:00 AM M416, Technological Institute

    EVENT DETAILS

    TIME Tuesday, October 6, 2026 at 11:00 AM - 12:00 PM

    LOCATION M416, Technological Institute    map it

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    CONTACT Natalie Masini    natalie.masini@northwestern.edu EMAIL

    CALENDAR McCormick-Engineering Sciences and Applied Mathematics (ESAM)

  • Oct
    19

    2026 Stephen H. Davis Lecture: Dr. Sidney Nagel on "Memory Formation in Particle Packings"

    McCormick-Engineering Sciences and Applied Mathematics (ESAM)

    4:00 PM ITW (Room 1.350), Ford Motor Company Engineering Design Center

    EVENT DETAILS

    TIME Monday, October 19, 2026 at 4:00 PM - 5:00 PM

    LOCATION ITW (Room 1.350), Ford Motor Company Engineering Design Center    map it

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    CONTACT Natalie Masini    natalie.masini@northwestern.edu EMAIL

    CALENDAR McCormick-Engineering Sciences and Applied Mathematics (ESAM)

  • Oct
    27

    ESAM Seminar: Alan Lindsay on "Advances in Asymptotic and Computational Methods for Biological Transport"

    McCormick-Engineering Sciences and Applied Mathematics (ESAM)

    11:00 AM M416, Technological Institute

    EVENT DETAILS

    TIME Tuesday, October 27, 2026 at 11:00 AM - 12:00 PM

    LOCATION M416, Technological Institute    map it

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    CONTACT Natalie Masini    natalie.masini@northwestern.edu EMAIL

    CALENDAR McCormick-Engineering Sciences and Applied Mathematics (ESAM)

  • Dec
    12

    Northwestern Engineering PhD Hooding and Master's Recognition Ceremony

    McCormick School of Engineering and Applied Science

    4:00 PM Pick-Staiger Concert Hall

    EVENT DETAILSmore info

    TIME Saturday, December 12, 2026 at 4:00 PM - 6:00 PM

    LOCATION Pick-Staiger Concert Hall    map it

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    CONTACT Andi Joppie    andi.joppie@northwestern.edu EMAIL

    CALENDAR McCormick School of Engineering and Applied Science