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Sparse Observation Recovery of 2D Scalar Conservation Dynamics with Discontinuities

  • Task ID: math.sparse_hyperbolic_recovery_2d
  • Domain: math
  • Subdomain: inverse_problems
  • Status: test
  • Tags: inverse-problems, hyperbolic-pde, discontinuity, shock-tracking, sparse-observation, rankine-hugoniot, 2d

Public Summary

This page is generated from task metadata and selected public-safe excerpts.

Example B1 Prompt Excerpt

# Sparse-Observation Recovery of a 2D Scalar Conservation Dynamics with Discontinuities
> **Level B1** — Full algorithm description. Every step of the pipeline is specified.
## 1. Scientific context
You are given sparse, noisy spacetime measurements of a scalar field
`u(t, x, y)` on `[0, {{ T_final }}] x [-{{ domain_scale }}, {{ domain_scale }}]^2`.
The field evolves according to an unknown 2D scalar conservation law
u_t + f(u)_x + g(u)_y = 0 ```

Notes

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