【Academic Forum】Computing and Forecasting (Academician Zhang Pingwen)

Throughout his career, Pingwen Zhang has benefited from the work of many excellent collaborators, post-docs and graduate students. His research on vortex methods resulted in a book co-authored with his advisor. Zhenhuan Teng and Zhang advanced both the theoretical and numerical analysis of conservation laws. Applying the boundary integral methods, Zhang and Thomas Hou demonstrated the well-posedness for the linearized motion of 3D water waves and proved the convergence of their new algorithm. Together with Ruo Li and Tao Tang, Zhang developed a new moving mesh method based on a harmonic mapping and successfully applied it to many physical problems. Zhang, Weinan E and Pingbing Ming proved that the error in HMM simulations of the elliptic and parabolic homogenization problems is controlled by the standard error plus a new term called e(HMM). Collaborators Weinan E and Tiejun Li, Post-Doctoral Candidates Hui Zhang and Guanghua Ji and many excellent students have worked with Zhang on the multiscale modeling of complex fluids. This extensive effort examines many aspects of the theoretical and numerical analysis of phase separation, transition and nucleation of polymers, liquid crystal polymers, and membranes. Together these colleagues have written more than 70 scientific journal articles over the last 15 years.