@article{d0d55d2c2c7f40bf95f9af8aa3507c1a, title = "A NOTE ON THE MONGE–AMP{\`E}RE TYPE EQUATIONS WITH GENERAL SOURCE TERMS", abstract = "In this paper we consider numerical approximation to the generalised solutions to the Monge-Ampere type equations with general source terms. We first give some important propositions for the border of generalised solutions. Then, for both the classical and weak Dirichlet boundary conditions, we present well-posed numerical methods for the generalised solutions with general source terms. Finally, we prove that the numerical solutions converge to the generalised solution.", keywords = "Convex domain, Convex function, Generalised solution, Monge-amp{\'e}re equation, Oliker-prussner method, Subdifferential, Convex domain, Convex function, Generalised solution, Monge-amp{\'e}re equation, Oliker-prussner method, Subdifferential, Convex domain, Convex function, Generalised solution, Monge-amp{\'e}re equation, Oliker-prussner method, Subdifferential", author = "Weifeng QIU and Lan TANG", year = "2020", month = nov, doi = "10.1090/MCOM/3554", language = "English", volume = "89", pages = "2675--2706", journal = "Mathematics of Computation", issn = "0025-5718", publisher = "American Mathematical Society", number = "326", }