# Solving 2-D Burgers equation on 2-D Burgers (In-Distribution 64^2, test)

Source: [Solving 2-D Burgers equation on 2-D Burgers (In-Distribution 64^2, test)](<https://www.sota2.com/research/sota/solving-2-d-burgers-equation-on-2-d-burgers-in-distribution-64-2-test>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-05-19T13:33:11.577Z

Evaluation of model performance on solving the 2-D Burgers Partial Differential Equation using the specified in-distribution test set (64x64 resolution), measured by ID Error and training time per epoch.

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

| Scope | Recorded value |
| --- | --- |
| Task | Solving 2-D Burgers equation |
| Dataset (including any stated split) | 2-D Burgers In-Distribution resolution 64^2 (test) |
| Metric | ID Error |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 5 of 5 |
| Coverage | All results currently returned for this benchmark |

Evaluation settings may differ between results. The original papers and recorded configurations are needed to establish comparability. A shared metric name alone does not establish an identical protocol.

## Metrics

- [ID Error](<https://www.sota2.com/research/sota/solving-2-d-burgers-equation-on-2-d-burgers-in-distribution-64-2-test.md?metric=ID%20Error>): Lower is better; unit: SCALAR.

- [Training Time (s/ep)](<https://www.sota2.com/research/sota/solving-2-d-burgers-equation-on-2-d-burgers-in-distribution-64-2-test.md?metric=Training%20Time%20(s%2Fep)>): Lower is better; unit: TIME.

## Recorded results

| Method | ID Error | Result date | Report paper |
| --- | --- | --- | --- |
| FNO+Aug | 0.0261 | Not recorded | 6a0bef1adbc836b87d82cb4d |
| FNO (no aug.) | 0.0274 | Not recorded | 6a0bef1adbc836b87d82cb4d |
| PACE-FNO (one-shot) | 0.0393 | Not recorded | 6a0bef1adbc836b87d82cb4d |
| PACE-FNO + TTA | 0.0393 | Not recorded | 6a0bef1adbc836b87d82cb4d |
| GFNO | 0.0967 | Not recorded | 6a0bef1adbc836b87d82cb4d |

### FNO+Aug

ID Error: 0.0261. Result ID: 6a0c6555fbc373592c042b29.

[Reporting paper](<https://www.sota2.com/research/paper/6a0bef1adbc836b87d82cb4d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa57e61e209131ce9a9a01.md>)

Recorded evaluation configuration: {"augmentation":"yes"}. This record does not assert independent reproduction.

### FNO (no aug.)

ID Error: 0.0274. Result ID: 6a0c6555fbc373592c042b28.

[Reporting paper](<https://www.sota2.com/research/paper/6a0bef1adbc836b87d82cb4d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa581d1e209131ce9ab45d.md>)

Recorded evaluation configuration: {"augmentation":"none"}. This record does not assert independent reproduction.

### PACE-FNO (one-shot)

ID Error: 0.0393. Result ID: 6a0c6555fbc373592c042b2a.

[Reporting paper](<https://www.sota2.com/research/paper/6a0bef1adbc836b87d82cb4d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a0bef1adbc836b87d82cb4d.md>)

Recorded evaluation configuration: {"inference\_mode":"one-shot"}. This record does not assert independent reproduction.

### PACE-FNO + TTA

ID Error: 0.0393. Result ID: 6a0c6555fbc373592c042b2b.

[Reporting paper](<https://www.sota2.com/research/paper/6a0bef1adbc836b87d82cb4d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a0bef1adbc836b87d82cb4d.md>)

Recorded evaluation configuration: {"inference\_mode":"TTA"}. This record does not assert independent reproduction.

### GFNO

ID Error: 0.0967. Result ID: 6a0c6555fbc373592c042b2c.

[Reporting paper](<https://www.sota2.com/research/paper/6a0bef1adbc836b87d82cb4d.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5aa81e209131ce9c195a.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

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