Math 934


Topics in Differential Equations

Math 934: Topics in Differential Equations
University of Nebraska-Lincoln, spring 2017
  • Syllabus
  • Course Documents
  • Matlab Intro [pdf]. My introduction to Matlab worksheet.
  • talk.pdf. My slides about Fourier transforms and PDEs.
  • Logistic Worksheet [pdf]. My code for the logistic problem: logisticChaos.m
  • Runge-Kutta Project [pdf] My n-dimensional rk4 code rk4_ndim.m and rk4_error.m code.
  • FFTderivatives.m My code to compute derivatives using the FFT.
  • FFT Theory [pdf] A write-up on the (correct!) algorithm to compute the FFT.
  • heatProject.pdf My code for the logistic problem: heat_rk4.m
  • Link to John Bowman's slides on dealiasing. [pdf]
  • burgersProject.pdf (Code will be posted after all projects are in.)
  • IMEX.pdf A discussion of mixed implicit/explicit methods.
  • Read page 15 and Section 2.3. If you need more mathematical background, read chapter A, starting on page 225.
  • transport_naive.m My code to "simulate" the transport equation with the (unstable) Euler method.
  • transport_lf.m My code to simulate the transport equation with the leap-frog method.
  • wave_lf.m My code to simulate the wave equation with the leap-frog method.
  • Project_FEM_Poisson.pdf A project to code a 1D Poisson solver in Matlab.


  • Computer Resources

    "Think twice, code once." -Anonymous

  • MATLAB help:
  • Linux:
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