High Performance Scientific Computing   AMath 483/583 Class Notes   Spring Quarter, 2013

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Lab 18: Thursday May 29, 2014

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Lab 20: Thursday June 5, 2014

• The Crank-Nicolson method is second order accurate: the error should go to zero like $${\cal O}(\Delta t^2 + \Delta x^2)$$ as the grid is refined. So increasing both n (the number of spatial points) and nsteps (the number of time steps) by a factor of 2 should reduce the error by a factor of 4. Test this out.