230 citations · 1.3k across the 27 of their papers we have counts for
Showing 2020Show all
3 papers · 1 filter
math.NA2020★ 230 cited
Local Extreme Learning Machines and Domain Decomposition for Solving Linear and Nonlinear Partial Differential Equations
Suchuan Dong, Zongwei Li
We present a neural network-based method for solving linear and nonlinear partial differential equations, by combining the ideas of extreme learning machines (ELM), domain decompos…
physics.comp-ph2020★ 175 cited
A Method for Representing Periodic Functions and Enforcing Exactly Periodic Boundary Conditions with Deep Neural Networks
Suchuan Dong, Naxian Ni
We present a simple and effective method for representing periodic functions and enforcing exactly the periodic boundary conditions for solving differential equations with deep neu…
math.NA2020★ 20 cited
gPAV-Based Unconditionally Energy-Stable Schemes for the Cahn-Hilliard Equation: Stability and Error Analysis
Yanxia Qian, Zhiguo Yang, Fei Wang +1
We present several first-order and second-order numerical schemes for the Cahn-Hilliard equation with discrete unconditional energy stability. These schemes stem from the generaliz…