Sir, if either one or both the limit is infinite..then how to convert to gaussian form. Please explain... For example integral (e^-x)/x² form limit from 0 to infinity.
Great video. I want to cite some of the results in this video for my project report. Are the examples in this video from some other reference or your own?
There are two examples in the video. I am not sure if the 1/(1+25x^2) is exactly from a specific text but it is similar to one used in many texts. For example Sauer used 1/(1+12x^2). Epperson has 1/(1+25x^2) but not exactly the same spacing. The second example is from Sauer Numerical Analysis second edition p. 159. I hope that helps.
I think I used the text by Dahlquist and Bjorck mostly but I cannot find my copy and also from Sauer. If you send me your email address I can send you my typed notes on the topic. I hope that might help.
Thanks so much. There are several other of my videos at ru-vid.com/group/PLzsFDzpSBhVMrkL3_7g-UngkZTKzUfX4H and there should be others but I am not sure whether I have uploaded them to youtube. I'll have to see over the coming weeks.
Thanks so much!! I will be teaching a different course this fall so may start making some videos for that one (mathematical physiology) once I learn the material :-) Have a great day.
Thanks man! Great tutorial! But I wonder at the end, how did you get e/1920. I mean I don't know how did you use lagrange formula to calculate. Could you please explain a little more? Thanks!
We're just replacing the x values with the points we calculated and the result is 1, then we have f(x) from which we need the n-th derivation. f(x)=e^x, so the n-th derivation is e^x again. Now we replace x with their highest value, notice how there are "max(...)" everywhere, which just means we're replacing with x its maximum value, which is 1, since we're only viewing x between [-1,1], which means 1 is our highest number. so when we replace all the values with their actual vaule our result ist e/1920.
