Chapter 3

ODE: Cauchy problems

Listing 3.1: Logistic equation
Listing 3.2: Competition of 2 species
Figure 3.6, 3.7: Predator-Prey
Figure 3.8, 3.9: Symbiosis
Listing 3.3: Competition of 3 species
Listing 3.4. Euler method
Listing 3.5. Backward Euler method
Listing 3.6. Implicit Euler method
Figure 3.18, 3.19: Euler method for logistic ODE
Figure 3.21: Adams scheme
Figure 3.22: Runge-Kutta method
Figure 3.24, 3.25: Oscillator
Listing 3.7: Nonlinear oscillator
Figure 3.26: Example of instability
Listing 3.8: Stiff ODE - chemical kinetics
Listing 3.9. Stiff ODE - 2

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