
Wave‑equation modeling, RTM, FWI, and velocity updates with options for quantum‑assisted linear solves.

High‑order solvers with turbulence models (RANS/LES/DNS) and physics‑informed ML for closure.

Problem conditioning, block‑encodings, and tomography for near‑term realizations of PDE subroutines.

Quantum algorithms (e.g., HHL variants, tensor networks, quantum Monte Carlo) could accelerate the solution of coupled PDEs and enable higher-resolution climate projections.
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