An energy conservative difference scheme for the nonlinear fractional Schrödinger equations. - Pengde Wang; Chengming Huang (J. Comput. Phys., 2015)

A conservative linearized difference scheme for the nonlinear fractional Schrödinger equation. - Pengde Wang; Chengming Huang (Numer. Algorithms, 2015)

Split-step alternating direction implicit difference scheme for the fractional Schrödinger equation in two dimensions. - Pengde Wang; Chengming Huang (Comput. Math. Appl., 2016)

Point-wise error estimate of a conservative difference scheme for the fractional Schrödinger equation. - Pengde Wang; Chengming Huang; Longbin Zhao (J. Comput. Appl. Math., 2016)

An implicit midpoint difference scheme for the fractional Ginzburg-Landau equation. - Pengde Wang; Chengming Huang (J. Comput. Phys., 2016)

Galerkin finite element method for nonlinear fractional Schrödinger equations. - Meng Li 025; Chengming Huang; Pengde Wang (Numer. Algorithms, 2017)

Simple high-order boundary conditions for computing rogue waves in the nonlinear Schrödinger equation. - Pengde Wang; Zhiguo Xu; Jia Yin (Comput. Phys. Commun., 2020)

基于节点兴趣和Q-learning的P2P网络搜索机制 (P2P Network Search Mechanism Based on Node Interest and Q-learning). - Longfei Li; Jingzhou Zhang; Pengde Wang; Pengjun Guo (计算机科学, 2020)

Fast exponential time differencing/spectral-Galerkin method for the nonlinear fractional Ginzburg-Landau equation with fractional Laplacian in unbounded domain. - Pengde Wang (Appl. Math. Lett., 2021)

Numerical computation for rogue waves in the coupled nonlinear Schrödinger equations with the coherent coupling effect. - Lei Liu 052; Pengde Wang (Int. J. Comput. Math., 2022)

Error estimates of piecewise Hermite collocation method for highly oscillatory Volterra integral equation with Bessel kernel. - Longbin Zhao; Pengde Wang (Math. Comput. Simul., 2022)

Analysis for a class of stochastic fractional nonlinear Schrödinger equations. - Yanjie Zhang; Ao Zhang; Pengde Wang; Xiao Wang 010; Jinqiao Duan (CoRR, 2024)

A quadrature method for Volterra integral equations with highly oscillatory Bessel kernel. - Longbin Zhao; Pengde Wang; Qiongqi Fan (Math. Comput. Simul., 2025)

Combined compact finite difference schemes for 2-D acoustic wave propagation. - Kejia Pan; Pengde Wang; Yufeng Xu; Xianhang Zhou (J. Appl. Math. Comput., 2025)