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🇺🇸 USA USAAIO 2025, Round 2

Physics-Informed Neural Network for the Heat Equation

Solve the 1-D heat equation with a physics-informed network and compare with the analytic solution.

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Statement
English
To hand in
Written answers
Data type
✍️ Written questions
Estimated difficulty
★★★☆☆
Solution
See a solution ↗ · best opened after you have tried

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The chapters of the learning path that prepare for this problem.

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›How to tackle it
  1. Read everything first. Note what each question asks and how it is marked.
  2. Work on paper. Justify every step: at an olympiad, the reasoning earns the points.
  3. Then compare. Open the solution only once you have an answer, and compare your reasoning with it.

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