Benchmark Computations of the Phase Field Crystal and Functionalized Cahn-Hilliard Equations via Fully Implicit, Nesterov Accelerated Schemes
Jea-Hyun Park, Abner J. Salgado & Steven M. Wise

Numerical Study on Viscous Fingering Using Electric Fields in a Hele-Shaw Cell
Meng Zhao, Pedro Anjos, John Lowengrub, Wenjun Ying & Shuwang Li

Quantum Implementation of Numerical Methods for Convection-Diffusion Equations: Toward Computational Fluid Dynamics
Bofeng Liu, Lixing Zhu, Zixuan Yang & Guowei He

A One-Dimensional Second-Order Cell-Centered Lagrangian Scheme Satisfying the Entropy Condition
Zhong-Ze Li, Li Liu & Jun-Bo Cheng

A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems
Weiwen Wang & Chuanju Xu

A Posteriori Error Estimate of Weak Galerkin FEM for Stokes Problem Using Auxiliary Subspace Techniques
Jiachuan Zhang, Ran Zhang & Xiaoshen Wang

SDF-Based ILW: Inverse Lax-Wendroff Method with the Signed Distance Function Representation of the Geometric Boundary
Cheng Peng, Shihao Liu & Zhouwang Yang

Weak Galerkin Method for Second-Order Elliptic Equations with Newton Boundary Condition
Mingze Qin, Ruishu Wang, Qilong Zhai & Ran Zhang

Convergence of Physics-Informed Neural Networks Applied to Linear Second-Order Elliptic Interface Problems
Sidi Wu, Aiqing Zhu, Yifa Tang & Benzhuo Lu

Band Structure Calculations of Dispersive Photonic Crystals in 3D Using Holomorphic Operator Functions
Wenqiang Xiao, Bo Gong, Junshan Lin & Jiguang Sun