Long Wave Interaction with a Partially Immersed Body. Part I: Mathematical Models 
Gayaz Khakimzyanov and Denys Dutykh

Better Approximations of High Dimensional Smooth Functions by Deep Neural Networks with Rectified Power Units 
Bo Li, Shanshan Tang and Haijun Yu

A Conservative Numerical Method for the Cahn–Hilliard Equation with Generalized Mobilities on Curved Surfaces in Three-Dimensional Space 
Darae Jeong, Yibao Li, Chaeyoung Lee, Junxiang Yang and Junseok Kim

Stochastic Multiscale Heat Transfer Analysis of Heterogeneous Materials with Multiple Random Configurations 
Zihao Yang, Xiaofei Guan, Junzhi Cui, Hao Dong, Ye Wu and Jieqiong Zhang

Upwind Biased Local RBF Scheme with PDE Centres for the Steady Convection Diffusion Equations with Continuous and Discontinuous Boundary Conditions 
K. Monysekar and Y. V. S. S. Sanyasiraju

Finite-Volume-Particle Methods for the Two-Component Camassa-Holm System 
Alina Chertock, Alexander Kurganov and Yongle Liu

Physical Valid Scale of General Continuum Models in Unsteady Flow 
Yaqun Yu, Yousheng Zhang, Baolin Tian and Zeyao Mo

A GPU-Accelerated Hybridizable Discontinuous Galerkin Method for Linear Elasticity 
Maurice S. Fabien

An Improved Pressure-Equilibrium Diffuse Interface Model for Solid-Fluid Interaction 
Li Li, Qian Chen, Zhiwei He, Yousheng Zhang and Baolin Tian

The New Operator Marching Method on Calculating the Electromagnetic Scattered Fields from the Periodic Structures 
Yu Mao Wu, Ke Wei Chen, Jun Hu, Haijing Zhou, Yang Liu and Lijun Yuan

Lévy Backward SDE Filter for Jump Diffusion Processes and Its Applications in Material Sciences 
Feng Bao, Richard Archibald and Peter Maksymovych

A Three-Level Multi-Continua Upscaling Method for Flow Problems in Fractured Porous Media 
Maria Vasilyeva, Eric T. Chung, Yalchin Efendiev and Aleksey Tyrylgin