math1090_2020
directed study in differential equations

math1090_2020, MATH1090, "Directed study on numerical solutions of ordinary differential equations using symplectic, second-order accurate, time-adaptive methods", University of Pittsburgh, spring 2020, Instructor: Catalin Trenchea, Thackeray 606, Computing assistant: John Burkardt, Thackeray 622.

Location: http://people.sc.fsu.edu/~jburkardt/classes/math1090_2020/math1090_2020.html

• Syllabus for Math1090
• The LATEX typesetting package
• MATLAB scripts

• euler code, A first ODE solver (14 January 2020)
• euler logistic, A new problem: the logistic equation (21 January 2020)
• predator, A system of two equations: predator/prey (30 January 2020)
• implicit, backward Euler method and stiff equations (06 February 2020)
• convergence, computing and reporting convergence rates; log-log plots of convergence; the flame equation. (13 February 2020)
• stepsize, estimating the error and varying the stepsize. (20 February 2020)
• conservation, physical laws often require certain quantities to be conserved. Some ODE solvers can enforce such a requirement. (27 February 2020)
• No class, (05 March 2020)
• Spring break, (12 March 2020)
• Classes suspended, (19 March 2020)
• double_pendulum, the double pendulum problem. (26 March 2020)