This package implements state-of-the-art methods for the simulation of iterated stochastic integrals. These appear e.g. in higher order algorithms for the solution of stochastic (partial) differential ...

Over the last few decades the prevalence of multiple polylogarithms and multiple zeta values in low order Feynman diagram computations of quantum field theory has received increased attention, ...

This package implements state-of-the-art methods for the simulation of iterated stochastic integrals. These appear e.g. in higher order algorithms for the solution of stochastic (partial) differential ...

Conversely, we evaluate iterated log-sine integrals in terms of multiple zeta values and multiple polylogarithms in this paper. We also suggest some conjectures on multiple zeta values, multiple ...

We compute various types of iterated integrals of Eisenstein-Kronecker forms that are constructed from the Kronecker theta function. Furthermore, we relate the generating series of Gromov-Witten ...

Abstract: The stochastic Taylor expansion for SDEs has motivated the study of high order iterated integrals of Brownian motion (e.g. Ben Arous 89′, Kloeden and Platen 92′). The literature has mostly ...

For a differential field F F having an algebraically closed field of constants, we analyze the structure of Picard–Vessiot extensions of F F whose differential Galois groups are unipotent algebraic ...

Abstract: The cyclic insertion conjecture of Borwein, Bradley, Broadhurst and Lisoněk states that by inserting all cyclic permutations of some initial blocks of 2's into the multiple zeta value ζ(1, 3 ...

This is a preview. Log in through your library . Abstract A computer implementation of Bergman's solution to the initial value problem for the partial differential equation of compressible fluid flow ...

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