We prove the curse of dimensionality for multivariate integration of Cr functions: The number of needed function values to achieve an error 𝜖 is larger than Cr(1 ...
SIAM Journal on Numerical Analysis, Vol. 35, No. 4 (Aug., 1998), pp. 1684-1708 (25 pages) This paper introduces a general technique for the construction of multistep methods capable of integrating, ...
[Math the World] claims that your calculus teacher taught you integration wrong. That’s assuming, of course, you learned integration at all, and if you haven’t forgotten it. The premise is that most ...