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Accelerated PDE Constrained Optimization using Direct Solvers
In this thesis, I propose a method to reduce the cost of computing solutions to optimization problems governed by partial differential equations (PDEs). Standard second order methods such as Newton require the solution of ...
Robust and efficient numerical algorithms for the discrete prolate spheroidal wave functions
This thesis presents novel algorithms for the numerical evaluation of the discrete prolate spheroidal wave functions (DPSWFs) and their associated integral operator eigenvalues. The DPSWFs and associated eigenvalues arise ...