Worked on SciML/NonlinearSolve.jl to enhance the JacobianOperator, focusing on both performance and code maintainability. Addressed performance bottlenecks by removing MArrays in out-of-place Jacobian computations, resulting in improved runtime efficiency for scientific computing workflows. Refactored the codebase for greater readability and consistency, making future maintenance more straightforward. Fixed a bug related to output cache initialization, which improved test reliability and stabilized the operator’s behavior. Demonstrated expertise in Julia programming, numerical methods, and debugging throughout the process. The work delivered measurable improvements in both code quality and computational performance, reflecting a thoughtful and methodical engineering approach.