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Multilevel Picard approximations overcome the curse of dimensionality in the numerical approximation of general semilinear PDEs with gradient-dependent nonlinearities.
Ariel Neufeld
Tuan Anh Nguyen
Sizhou Wu
Published in:
CoRR (2023)
Keyphrases
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special case
partial differential equations
closed form
numerical methods
solving partial differential equations
image processing
closely related
approximation methods
numerical algorithms
multiscale
lower bound
gradient method
mumford shah model
limit theorems