% ISU REU Numerical Analysis Project 2006 % EulerAuto.m Euler method with automatic step adjustment % EulerFixH.m Euler method with fixed step % HornerN.m Horner algorithm to evaluate Newton-form interpolant % InterpErr.m Compare interpolation error to error bound % InterpL.m Evaluate Lagrange form of interpolant % InterpN.m Compute coefficients of Newton-form interpolant % InterpV.m Compute interpolant coefficients by VanderMonde matrix % popdemo.m Different interpolation algorithms on population data % population.dat USA population data 1900-2000. % RK2FixH.m Integrate ODE with fixed step 2nd-order Runge-Kutta formula % RK3FixH.m Integrate ODE with fixed step 3rd-order Runge-Kutta formula % ShowEuler.m Demonstrate use of fixed-stepsize Euler method % ShowRK2.m Demonstrate performance of 2nd-order Runge-Kutta % ShowRK3.m Demonstrate performance of 3rd-order Runge-Kutta % TrapAuto.m Runge-Kutta 2nd-order integrator, step control by doubling % lnhde.m (Scalar) linear nonhomogeneous differential equation