DGM: A deep learning algorithm for solving partial differential equations

High-dimensional PDEs have been a longstanding computational challenge. We propose to solve high-dimensional PDEs by approximating the solution with a deep neural network which is trained to satisfy the differential operator, initial condition, and boundary conditions. Our algorithm is meshfree, whi...

وصف كامل

التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Sirignano, J, Spiliopoulos, K
التنسيق: Journal article
اللغة:English
منشور في: Elsevier 2018