Overcoming the curse of dimensionality in the numerical approximation of parabolic partial differential equations with gradient-dependent nonlinearities

HIGHLIGHTS

• who: Martin Hutzenthaler from the Faculty of Mathematics, University of Duisburg-Essen, Essen, Germany have published the research: Overcoming the Curse of Dimensionality in the Numerical Approximation of Parabolic Partial Differential Equations with Gradient-Dependent Nonlinearities, in the Journal: (JOURNAL)
• what: In the main result of this section, Proposition 3.5 in Sect 3.3 below, the authors provide a detailed error analysis for these new MLP approximation methods. To make this aspect more clear to the reader, the authors provide in Lemma 5.3 below an explanation why it is essential to exclude the . . .
  

   

  

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