Numerical Ordinary Differential Equations ODE III-IV

Absolute Stability (Dahlquist) - Stiffness & Detection - Systems


■ Specific Sources

! Script Differential Equations1B (Stability, Stiffness)     ! Script Differential Equations2 (Systems)

Schaum's Outline of Numerical Analysis: Chapter 19 (Differential Equations) and 20 (Higher Order Differential Equations)

Bronstein: Abschnitt 19.4

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

! Exercises 13 →   ! Solutions 13 →     Code for Problem 1 (.txt)
! Exercises 14 →   ! Solutions 14 →     Code for Problem 4 (.txt)

Mathematica-Notebooks with Examples / Demos: DifferentialEquations3a.nb (Stability)    DifferentialEquations3b.nb (Stiffness)

Mathematica-Notebook with Examples / Demos:   DifferentialEquations4.nb (Systems)


★ Further Topics or Subjects from the Bachelor Degree Program

Van-der-Pol-Equation (.pdf): VanDerPol1.pdf


☆ 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