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Overcoming the curse of dimensionality in the numerical approximation of semilinear parabolic partial differential equations

For a long time it has been well-known that high-dimensional linear parabolic partial differential equations (PDEs) can be approximated by Monte Carlo methods with a computational effort which grows polynomially both in the dimension and in the reciprocal of the prescribed accuracy. In other words,...

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Bibliografske podrobnosti
izdano v:Proc Math Phys Eng Sci
Main Authors: Hutzenthaler, Martin, Jentzen, Arnulf, Kruse, Thomas, Anh Nguyen, Tuan, von Wurstemberger, Philippe
Format: Artigo
Jezik:Inglês
Izdano: The Royal Society Publishing 2020
Teme:
Online dostop:https://ncbi.nlm.nih.gov/pmc/articles/PMC7776969/
https://ncbi.nlm.nih.gov/pubmed/33408553
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1098/rspa.2019.0630
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