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Numerical Analysis

2

2 career items use Numerical Analysis.

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
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