Lec 7 MIT 18.085 Computational Science and Engineering I
okayy ready for lecture 7 uh and the topics then would be the first time we're seeing differential equations uh let me copy that equation up here and I hope you might guess that it's completely analogous to our Matrix equation so this is going to be a transpose minus d by DX this you remember we had the diagonal matrix C well now we've got with with a discrete set of uh spring constants now we have an elastic constant all along the bar so I'm thinking instead of before we had a line of Springs with masses and now so this is for a transpose C a u equal F that was the discrete one The Continuous one will be if we want to so you can tell part of the point here is to get the analogies because I think that's sort of a part something that mathematics can contribute to see the same pattern appearing in different places and here we have uh the pattern appearing in the a discrete problem and in a continuous problem so I'm thinking here of an elastic bar you...