Workshop From geometry to numerics
IHP, Paris, 20-24 November 2006

Erik Schnetter (CCT, Louisiana State Univ., USA)

The mathematics of numerics -- Obstacles to using mathematical equations in numerical simulations

A very fruitful enterprise in any numerical work is to take existing  mathematical knowledge and turn it into a numerical algorithm.  Since  the respective advantages and disadvantages of mathematical ("pen and  paper") and numerical methods ("programmes") are often disjunct, a  successful combination can be very rewarding. Coming from the  numerical side, I will highlight some key differences, pointing out examples where numerical methods tend to fail in rather simple  mathematical cases. My aim is to give some insight to mathematicians trying to understand why numericists shy away from certain seemingly simple equations.

[slides]

[back to the program]