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Numerical Methods

4

4 career items use Numerical Methods.

Jan 2025 - May 2025 Scientific Computing Methods Portfolio Numerical methods coursework covering roots, interpolation, IEEE-754 tools and error analysis. Software
  • Completed 8 computational math assignments: Taylor series, root-finding theory, polynomial interpolation, error analysis
  • Implemented IEEE-754 converter in Python for 32/64-bit representations handling normalized, subnormal, infinities, NaN
  • Built relative error bound calculator demonstrating machine epsilon and numerical precision in scientific computing
Mar 2025 - Mar 2025 Root Analysis Visualizer Interactive root-finding analysis comparing Bisection, Newton, and Secant methods. Data
  • Built Python Streamlit app comparing 3 numerical methods (Bisection, Newton's, Secant) for nonlinear equation solving
  • Implemented convergence analysis with Matplotlib error plots, iteration tracking, and parameter sensitivity analysis
  • Architected modular codebase with 4 Python modules (numerical_methods, test_functions, visualization, report)
Mar 2025 - Mar 2025 Math374P3 Streamlit app for analyzing nonlinear root-finding algorithms Data
  • Built modular Python toolkit for nonlinear root-finding using Bisection, Newton's, and Secant methods
  • Created interactive Streamlit web app with configurable tolerances and real-time visualizations
  • Integrated pseudocode explanations directly into the interface for educational clarity
Feb 2025 - Feb 2025 Numerical Differentiation Methods Visualizer Streamlit tool analyzing forward vs central difference error behavior with truncation and rounding error plots. Data
  • Developed Python Streamlit app analyzing numerical differentiation errors comparing forward and central difference methods
  • Created interactive Matplotlib visualizations showing truncation vs rounding error across step sizes (10^-1 to 10^-16)
  • Computed optimal step sizes and validated theoretical error bounds for IEEE-754 floating-point arithmetic