MLMC for PDE Solutions Based on Feynman-Kac Theorem

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户:wisdomroc
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  The Feynman-Kac theorem expresses solutions to highdimensional parabolic PDEs as expectations of functionals of Brownian diffusions.Existing methods using the Euler-Maruyama discretisation achieve O(eps)RMS accuracy at a cost which is O((ε)-3).
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