I am a PhD student at The Johns Hopkins University in the department of applied math and statistics. My work primarily focuses in optimization, under the supervision of Benjamin Grimmer.
Selected Papers
(IMA Journal of Numerical Analysis) arXiv
Selected Desmos Visualizations view all →
Explore polynomial interpolation through both Lagrange and Hermite basis functions; the former interpolating points and function values, while the latter incorporates derivatives. Toggle between these methods and isolate individual basis polynomials to see how they sum to produce the full interpolant.
Construct polynomials to approximate smooth functions using perhaps the most important results from calc II. Slide the degree up and watch the Taylor polynomial zero in around its radius of convergence.
Visualize how finite difference methods approximate derivatives. Compare standard Order-2 and Order-4 central difference formulas, or interact with custom interpolation nodes to derive general finite difference rules.
