A non-gradient method for solving elliptic partial differential equations with deep neural networks
Yifan Peng, Dan Hu, Zin-Qin John Xu
Topics & Concepts
Artificial neural networkPartial differential equationDissipative systemDiscretizationApplied mathematicsMathematicsElliptic partial differential equationGradient descentParametric statisticsKernel (algebra)Convergence (economics)Mathematical analysisMathematical optimizationComputer scienceArtificial intelligenceStatisticsQuantum mechanicsPhysicsCombinatoricsEconomicsEconomic growthModel Reduction and Neural NetworksAdvanced Numerical Methods in Computational MathematicsNumerical methods for differential equations