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Gregus, M. Jr.; Lobanov, Yu.Yu.; Sidorova, O.V.; Zhidkov, E.P.
Joint Inst. for Nuclear Research, Dubna (USSR). Lab. of Computing Techniques and Automation1986
Joint Inst. for Nuclear Research, Dubna (USSR). Lab. of Computing Techniques and Automation1986
AbstractAbstract
[en] New approximate formulae for functional integrals with the Gaussian measure in separable Frechet spaces are derived. As a special case, the integration with respect to the conditional Wiener measure is investigated. For conditional Wiener integrals a family of approximate formulae with weight is constructed. The quantum mechanical models, namely the linear and the anharmonic oscillators, are described. The efficiency of the formulas is demonstrated in the numerical comparison with the Monte Carlo method on lattice
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1986; 18 p; 18 refs.; 4 figs.; submitted to the International Congress on Computational and Applied Mathematics (Leuven, Belgium, Jul 1986).
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