Numerical Ordinary Differential Equation ODE I-II

Explicit Methods - Euler → Taylor → Runge-Kutta → Local vs. Global Errors

Adaptive Step-Size Control - Embedded Explicit Runge-Kutta Methods

■ Specific Sources

! Script Differential Equations1A

Bronstein: Section 19.4

■ Teaching Material for the Classroom (Mathematica Notebooks, Exercises, Demos etc.)

! Exercises 11     ! Solutions 11     ! Derivatives for Problem 11.1 (.jpg)
! Exercises 12     ! Solutions 12      Code to Problem 1 (.txt)      Solution to Problem **5 (.pdf)

Mathematica-Notebooks with Examples / Demos: DifferentialEquations1.nb     DifferentialEquations2.nb

Visualizations to Runge-Kutta RK2 (Midpoint-Method) and Classical RK4: RK2.gif     RK4.gif

Visualizations to Local Error vs. Global Error for the Euler-Method: ErrorLocalGlobal1.png

★ Further Topics or Subjects from the Bachelor Degree Program

Appendix: Angle Velocity of the Earth Orbit & Kepler's 2nd Law

☆ General Sources (Encyclopedias a.s.o. with prompt or index search)

Mathworld: http://www.mathworld.com
Wikipedia Category of Numerical Analysis: en.wikipedia.org
Springer Encyclopedia of Math Online (Advanced): https://encyclopediaofmath.org