Joshua Lytle

 JoshuaW. Lytle

Joshua W. Lytle

  • Courses1
  • Reviews2

Biography

Brigham Young University - Mathematics

Applied Mathematician
Research
Joshua
Lytle
Spanish Fork, Utah
I am a recent graduate from Brigham Young University with a PhD in applied mathematics, with a focus on nonlinear PDEs, numerical analysis, and scientific computing. I am currently interested in applications of sta- tistics, data science and machine learning, and helping organizations make data-driven decisions.


Experience

  • Brigham Young University

    Teaching Assistant

    • Taught college algebra, calculus 2, business calculus, and multivariable calculus.

    • Teaching assistant for calculus 1-2, partial differential equations, linear functional analysis, and nonlinear dynamical systems and chaos.

  • Brigham Young University

    Content Developer

    • Developed and taught a year-long sequence of computational labs in Python solving applications of ODEs and PDEs, for BYU’s applied mathematics program for senior undergraduate students (see www.acme.byu.edu and https://github.com/joshualy/Labs)

  • Brigham Young University

    Researcher

    • Examined the stability of viscous detonations in the multi-dimensional reactive Navier-Stokes equations, covering a large parameter space with parallel processing tools and BYU’s supercomputer

    • Built StabLabPy, a Python library providing numerical tools for studying the stability of traveling waves via the numerical Evans function (see https://github.com/joshualy/stablab_python)

    • Used numerical continuation to track unstable eigenvalues of the high Lewis number combustion system as exothermicity increased, reducing computation time from several weeks to several hours

  • Geisinger Medical Center

    Data Scientist

    • Analyzed methods of imputing clinical lab measures in Geisinger’s EHR data.

    • Refined the BTI Institute’s use of permuted, model permuted, and rank permuted p-values to deal with statistical significance in their genome-wide association studies (GWAS).

Education

  • Brigham Young University

    M.S.

    Mathematics

  • Brigham Young University

    Doctor of Philosophy (Ph.D.)

    Mathematics

  • Brigham Young University

    B.S.

    Mathematics

  • Brigham Young University

    Teaching Assistant


    • Taught college algebra, calculus 2, business calculus, and multivariable calculus. • Teaching assistant for calculus 1-2, partial differential equations, linear functional analysis, and nonlinear dynamical systems and chaos.

  • Brigham Young University

    Content Developer


    • Developed and taught a year-long sequence of computational labs in Python solving applications of ODEs and PDEs, for BYU’s applied mathematics program for senior undergraduate students (see www.acme.byu.edu and https://github.com/joshualy/Labs)

  • Brigham Young University

    Researcher


    • Examined the stability of viscous detonations in the multi-dimensional reactive Navier-Stokes equations, covering a large parameter space with parallel processing tools and BYU’s supercomputer • Built StabLabPy, a Python library providing numerical tools for studying the stability of traveling waves via the numerical Evans function (see https://github.com/joshualy/stablab_python) • Used numerical continuation to track unstable eigenvalues of the high Lewis number combustion system as exothermicity increased, reducing computation time from several weeks to several hours