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math.OC2016
The Discrete Adjoint Method for Exponential Integration
Kai Rothauge, Eldad Haber, Uri Ascher
The implementation of the discrete adjoint method for exponential time differencing (ETD) schemes is considered. This is important for parameter estimation problems that are constr…
math.OC2015★ 1 cited
Numerical Computation of the Gradient and the Action of the Hessian for Time-Dependent PDE-Constrained Optimization Problems
Kai Rothauge, Eldad Haber, Uri Ascher
We present a systematic derivation of the algorithms required for computing the gradient and the action of the Hessian of an arbitrary misfit function for large-scale parameter est…