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math.NA2024
Automatic Differentiation for All-at-once Systems Arising in Certain PDE-Constrained Optimization Problems
Santolo Leveque, James R. Maddison, John W. Pearson
An automated framework is presented for the numerical solution of optimal control problems with PDEs as constraints, in both the stationary and instationary settings. The associate…
math.NA2024
Fast numerical solvers for parameter identification problems in mathematical biology
Karolína Benková, John W. Pearson, Mariya Ptashnyk
In this paper, we consider effective discretization strategies and iterative solvers for nonlinear PDE-constrained optimization models for pattern evolution within biological proce…