stepsize

Location: http://people.sc.fsu.edu/~jburkardt/classes/math1902_2020/stepsize/stepsize.html

stepsize looks at using error estimates to adjust the stepsize.

The notes:

• stepsize.pdf
• stepsize.tex

Matlab:

• adapt0.m, a framework code that we will use to develop adapt1.m, adapt2.m, and adapt3.m.
• expsin_deriv.m, the right hand side of the expsin ODE.
• expsin_solution.m, the exact solution of the expsin ODE.
• rk1.m, the Euler method, written as a Runge Kutta ODE solver.
• rms.m, evaluates the root-mean-square norm of a vector.

Images:

• bad_step.png
• expsin_adapt1.png
• expsin_adapt1_stepsize.png
• expsin_adapt2_stepsize.png
• expsin_adapt3.png