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math.NA2021
Rectangular eigenvalue problems
Behnam Hashemi, Yuji Nakatsukasa, Lloyd N. Trefethen
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 po…
math.NA2021
Least-squares spectral methods for ODE eigenvalue problems
Behnam Hashemi, Yuji Nakatsukasa
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 general…