# Feature: Extrapolation Methods

## Overview

Richardson extrapolation with adaptive order

## Why This Feature Matters

(To be detailed)

## Dependencies

(To be detailed)

## Implementation Approach

(To be detailed)

## Implementation Tasks

- [ ] Core implementation
- [ ] Integration with existing code
- [ ] Testing
- [ ] Documentation
- [ ] Benchmarking

## Testing Requirements

(To be detailed)

## References

1. Julia implementation: OrdinaryDiffEq.jl
2. (Additional references to be added)

## Complexity Estimate

**Effort**: Large

**Risk**: (To be assessed)

## Success Criteria

- [ ] Implementation complete
- [ ] Tests pass
- [ ] Documentation written
- [ ] Performance acceptable

## Future Enhancements

(To be identified)