## 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.
• A backward Euler solver: backward_euler.m which requires a Newton's method solver: Newton.m
• The Discrete Fourier Transform [pdf] A write-up by Prof. Steven Johnson about how the DFT is used to compute derivatives.
• 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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