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Gradient flows in the Wasserstein space have become a powerful tool in the analysis of diffusion equations, following the seminal work of Jordan, Kinderlehrer and Otto (JKO).
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Martial Agueh and Malcolm Bowles, One-dimensional numerical algorithms for gradient flows in the p-wasserstein spaces , Acta applicandae mathematicae 125
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by same author, A numerical method for variational problems with convexity constraints , SIAM Journal on Scientific Computing 35
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2014
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