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We study the complexity of randomized solution of initial value problems for systems of ordinary differential equations (ODE). The input data are assumed to be @c-smooth (@[email protected]: the rth… (More)
We show that for functions [email protected]?L"p([0,1]^d), where [email protected][email protected]?~, the family of integrals @!"["0","x"]f(t)dt(x=(x"1,...,x"d)@?[0,1]^d) can be approximated by a… (More)