Run the program with a Δt corresponding to 20 time steps per period of the oscillations (see Sect. 8.4.3 for how to find such a Δt). October 14, 2020 Read More »
Derive the computational scheme and show that (contrary to the Forward Euler scheme) you have to solve a nonlinear algebraic equation for each time step when using this scheme. October 14, 2020 Read More »
Vectorize the implementation of the function for computing the area of a polygon in Exercise 5.6. October 14, 2020 Read More »
Consider the physical application from Sect. 9.2.4. Run this case with the θ rule and θ = 1/2 for the following values of Δt: 0.001, 0.01, 0.05. October 14, 2020 Read More »
Demonstrate, by running a program, that you can take one large time step with the Backward Euler scheme and compute the solution of (9.38). October 14, 2020 Read More »