@article{SMAI-JCM_2019__5__229_0, author = {Di Fang and Shi Jin and Peter Markowich and Beno{\^\i}t Perthame}, title = {Implicit and {Semi-implicit} {Numerical} {Schemes} for the {Gradient} {Flow} of the {Formation} of {Biological} {Transport} {Networks}}, journal = {The SMAI Journal of computational mathematics}, pages = {229--249}, publisher = {Soci\'et\'e de Math\'ematiques Appliqu\'ees et Industrielles}, volume = {5}, year = {2019}, doi = {10.5802/smai-jcm.59}, language = {en}, url = {https://smai-jcm.centre-mersenne.org/articles/10.5802/smai-jcm.59/} }