Browsing by Author "Hashemi, Behnam"

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    • Least-squares spectral methods for ODE eigenvalue problems 

      Hashemi, Behnam; Nakatsukasa, Yuji ( Society for Industrial and Applied Mathematics , 2022 , Article)
      We develop spectral methods for ODEs and operator eigenvalue problems that are based on a least-squares formulation of the problem. The key tool is a method for rectangular generalized eigenvalue problems, which we extend ...

    • Rectangular eigenvalue problems 

      Hashemi, Behnam; Nakatsukasa, Yuji; Trefethen, Lloyd N. ( Springer , 2022 , Article)
      Often the easiest way to discretize an ordinary or partial differential equation is by a rectangular numerical method, in which n basis functions are sampled at m ≫ n collocation points. We show how eigenvalue problems can ...