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Publications in VIVO

Brown, Jed Assistant Professor


Research Areas research areas


research overview

  • Brown's research interests include scalable solvers for implicit multiphysics, high order PDE discretization in complex geometry, compatible discretizations for heterogeneous flows, and PDE-constrained optimization. His work emphasizes robust and high performance parallel software, often relating to PETSc.


  • multilevel solvers, simulation and analysis of PDE systems, parallel algorithms and software, computational fluid dynamics, geodynamics, glaciology, structural mechanics, uncertainty quantification, experimental design


selected publications


courses taught

  • CSCI 3656 - Numerical Computation
    Primary Instructor - Spring 2018 / Spring 2019
    Covers development, computer implementation, and analysis of numerical methods for applied mathematical problems. Explores topics such as floating point arithmetic, numerical solution of linear systems of equations, root finding, numerical interpolation, differentiation, and integration.
  • CSCI 5636 - Numerical Solution of Partial Differential Equations
    Primary Instructor - Fall 2018 / Fall 2019
    Focuses on discretization techniques such as finite difference, finite element and finite volume methods, and parallel solution algorithms such as Krylov subspace methods, domain decomposition and multilevel methods.


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