One-Dimensional Blood Flow with Discontinuous Properties and Transport: Mathematical Analysis and Numerical Schemes
Alessandra Spilimbergo, Eleuterio F. Toro & Lucas O. Müller
DL-PDE: Deep-Learning Based Data-Driven Discovery of Partial Differential Equations from Discrete and Noisy Data
Hao Xu, Haibin Chang & Dongxiao Zhang
Numerical Discretization of Variational Phase Field Model for Phase Transitions in Ferroelectric Thin Films
Ruotai Li, Qiang Du & Lei Zhang
A Nonlinear Finite Volume Scheme Preserving Maximum Principle for Diffusion Equations
Jinjing Xu, Fei Zhao, Zhiqiang Sheng & Guangwei Yuan
A Nodal Finite Element Method for a Thermally Coupled Eddy-Current Problem with Moving Conductors
Zezhong Wang & Qiya Hu
Structure-Preserving Numerical Methods for Stochastic Poisson Systems
Jialin Hong, Jialin Ruan, Liying Sun & Lijin Wang
Algebraic Multigrid Block Preconditioning for Multi-Group Radiation Diffusion Equations
Xiaoqiang Yue, Shulei Zhang, Xiaowen Xu, Shi Shu & Weidong Shi
Multiple-Temperature Gas-Kinetic Scheme for Type IV Shock/Shock Interaction
Hualin Liu, Guiyu Cao & Weifang Chen
A Third Order BDF Energy Stable Linear Scheme for the No-Slope-Selection Thin Film Model
Yonghong Hao, Qiumei Huang & Cheng Wang
Solving Allen-Cahn and Cahn-Hilliard Equations Using the Adaptive Physics Informed Neural Networks
Colby L. Wight & Jia Zhao
A Simple Solver for the Two-Fluid Plasma Model Based on PseudoSpectral Time-Domain Algorithm
Benoit Morel, Remo Giust, Kazem Ardaneh & Francois Courvoisier