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 ...

This paper is concerned with numerical integration over the unit cube in s dimensions of functions that have reasonably smooth periodic extensions in each dimension ...

Numerical integration and differentiation techniques are commonly used in engineering, particularly when analyzing experimental data. Integration and differentiation of measured response signals can ...

[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 ...