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Introduction to Scientific Computing

(winter 2004/2005)

Dr. Miriam Mehl

Dr. Michael Bader


Exercises

Exercise 1: Ordinary Differential Equations Solution
Exercise 2: Harvesting a Renewable Resource Solution
Exercise 3: Systems of linear differential equations Solution
Exercise 4: Predator-Prey Equations Solution
Exercise 5: Stability of Explicite Methods for the Numerical Solution of Ordinary Differential Equations Solution
Exercise 6: 1D Poisson: Eigenfunctions and Green's Functions Solution
Exercise 7: Solving the 1D Heat Equation Using Fourier's Method Solution
Exercise 8: Neumann Stability of the discretized 1D Heat Equation (explicit scheme) Solution
Midterm Exam: (for orientation, only) Solution
Exercise 9: Neumann Stability of the Leapfrog Scheme Solution
Exercise 10:
(updated!)
Gauß-Seidel and Jacobi Relaxation for Implicit Schems Solution
Exercise 11: Damped Jacobi Relaxation Solution

Additional Materials

Analytical Solution of Simple First Order Ordinary Differential Equations
Exam Problems for ODEs
Consistency of Numerical Methods for ODEs
Asymptotic Stability of Multistep Methods
Neumann Stability of Implicit Schemes



Miriam Mehl