Mathematical methods and special functions have long served as the backbone of modern theoretical physics and applied mathematics. These tools enable researchers to solve complex differential ...

Below is a short list of functions and datasets used as integrands in testing multidimensional integration algorithms. Each page contains information about the corresponding function or dataset, as ...

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Mathematics of Computation, Vol. 28, No. 126 (Apr., 1974), pp. 613-615 (7 pages) A new integral representation is derived for the expression $J_0(z)J_0(Z) + Y_0(z ...

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 ...

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