add a SimpleEuler method

[ChrisRackauckas]

No description provided.

[ai-maintainer]

AI-Maintainer Review for PR - Add a SimpleEuler method

Title and Description ❌

Title is clear but description is missing

The title of the pull request is clear and indicates the main change, which is the addition of a `SimpleEuler` method. However, the description is missing. It would be beneficial to include a description that explains the motivation behind adding the `SimpleEuler` method and any relevant details about its functionality.

Scope of Changes ✅

Changes are narrowly focused

The changes in this pull request are narrowly focused on adding the `SimpleEuler` method and related functionality. There are no other changes or modifications in the diff, indicating that the author is specifically addressing the addition of the `SimpleEuler` method in this pull request.

Testing ❌

Testing details are missing

The description of the pull request does not provide any information about how the author tested the changes. It would be beneficial to include details about the testing approach taken by the author to ensure the correctness and functionality of the added `SimpleEuler` method.

Documentation ❌

Docstrings are missing for several functions, classes, or methods

The following newly added functions, classes, or methods do not have docstrings:

• SimpleEuler
• SimpleEulerIntegrator
• SEI
• simpleeuler_init
• step! (both versions)
• GPUSimpleEuler
• solve (both versions)
• LoopEuler

These entities should have docstrings added to describe their behavior, arguments, and return values.

Suggested Changes

• Add a detailed description to the pull request explaining the motivation and functionality of the SimpleEuler method.
• Include details about the testing approach taken to ensure the correctness and functionality of the added SimpleEuler method.
• Add docstrings to the SimpleEuler, SimpleEulerIntegrator, SEI, simpleeuler_init, step! (both versions), GPUSimpleEuler, solve (both versions), and LoopEuler to describe their behavior, arguments, and return values.

Reviewed with AI Maintainer