50 citations · 87 across the 4 of their papers we have counts for
5 papers
Solution landscape of reaction-diffusion systems reveals a nonlinear mechanism and spatial robustness of pattern formation
Shuonan Wu, Bing Yu, Yuhai Tu +1
Spontaneous pattern formation in homogeneous systems is ubiquitous in nature. Although Turing demonstrated that spatial patterns can emerge in reaction-diffusion (RD) systems when…
Computing solution landscape of nonlinear space-fractional problems via fast approximation algorithm
Bing Yu, Lei Zhang, Pingwen Zhang +1
The nonlinear space-fractional problems often allow multiple stationary solutions, which can be much more complicated than the corresponding integer-order problems. In this paper,…
Solution landscapes of the diblock copolymer-homopolymer model under two-dimensional confinement
Zhen Xu, Yucen Han, Jianyuan Yin +3
We investigate the solution landscapes of the confined diblock copolymer and homopolymer in two-dimensional domain by using the extended Ohta--Kawasaki model. The projected saddle…
Searching the solution landscape by generalized high-index saddle dynamics
Jianyuan Yin, Bing Yu, Lei Zhang
We introduce a generalized numerical algorithm to construct the solution landscape, which is a pathway map consisting of all stationary points and their connections. Based on the h…
Deep-learning based numerical BSDE method for barrier options
Bing Yu, Xiaojing Xing, Agus Sudjianto
As is known, an option price is a solution to a certain partial differential equation (PDE) with terminal conditions (payoff functions). There is a close association between the so…