Ordinary differential equations

CLASS XXIV

Ordinary Differential Equations. (ODE). Introduction.
  • Reading: Cheney & Kincaid, (pp. 299-309);
  • Khan's Academy Intro
  • In-class lecture notes: numerical solution of ODEs

    CLASS XXV

    Ordinary Differential Equations. (ODE). Simple numerical algorithm: 1-st order Euler's method. Reading: Cheney & Kincaid, (pp. 305-306, 325-327);

    CLASS XXVI

    Ordinary Differential Equations. (ODE). Stable/Unstable ODEs. Stable/Unstable algorithms. Global and local errors. Analysis of the 1-st order Euler's method. Improvemnts: Adaptive step-size. Reading: Cheney & Kincaid, (pp. 325-327 );

    CLASS XXVII

    Runge-Kutta methods. A very brief overview. Systems of ODEs: Cheney & Kincaid, (pp. 311-323, 332-334.);