3 papers
math.NA2025
A stabilized march approach to adjoint-based sensitivity analysis of chaotic flows
Pranshul Thakur, Siva Nadarajah
Adjoint-based sensitivity analysis is of interest in computational science due to its ability to compute sensitivities at a lower cost with respect to several design parameters. Ho…
math.NA2025
Adjoint of Least Squares Shadowing: Existence, Uniqueness and Coarse Domain Discretization
Pranshul Thakur, Siva Nadarajah
Chaotic dynamical systems are characterized by the sensitive dependence of trajectories on initial conditions. Conventional sensitivity analysis of time-averaged functionals yields…
math.NA2024
Adjoint-based goal-oriented implicit shock tracking using full space mesh optimization
Pranshul Thakur, Siva Nadarajah
Solutions to the governing partial differential equations obtained from a discrete numerical scheme can have significant errors, especially near shocks when the discrete representa…