Articles

• Long Wave Interaction with a Partially Immersed Body. Part I: Mathematical Models

  Gayaz Khakimzyanov, Denys Dutykh

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  45452 3171 Pages:321-378

• Better Approximations of High Dimensional Smooth Functions by Deep Neural Networks with Rectified Power Units

  Bo Li, Shanshan Tang, Haijun Yu

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  51684 3375 Pages:379-411

• 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, Junseok Kim

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  46946 3227 Pages:412-430

• Stochastic Multiscale Heat Transfer Analysis of Heterogeneous Materials with Multiple Random Configurations

  Zihao Yang, Xiaofei Guan, Junzhi Cui, Hao Dong, Ye Wu, Jieqiong Zhang

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  45006 3132 Pages:431-459

• Upwind Biased Local RBF Scheme with PDE Centres for the Steady Convection Diffusion Equations with Continuous and Discontinuous Boundary Conditions

  K. Monysekar, Y. V. S. S. Sanyasiraju

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  44991 3113 Pages:460-479

• Finite-Volume-Particle Methods for the Two-Component Camassa-Holm System

  Alina Chertock, Yongle Liu

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  45396 3336 Pages:480-502

• Physical Valid Scale of General Continuum Models in Unsteady Flow

  Yaqun Yu, Yousheng Zhang, Baolin Tian, Zeyao Mo

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  46692 3121 Pages:503-512

• A GPU-Accelerated Hybridizable Discontinuous Galerkin Method for Linear Elasticity

  Maurice S. Fabien

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  47103 4858 Pages:513-545 Open-access

• An Improved Pressure-Equilibrium Diffuse Interface Model for Solid-Fluid Interaction

  Li Li, Qian Chen, Zhiwei He, Yousheng Zhang, Baolin Tian

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  47530 3119 Pages:546-568

• 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, Lijun Yuan

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  46410 3019 Pages:569-588

• Lévy Backward SDE Filter for Jump Diffusion Processes and Its Applications in Material Sciences

  Feng Bao, Richard Archibald, Peter Maksymovych

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  47019 4808 Pages:589-618 Open-access

• A Three-Level Multi-Continua Upscaling Method for Flow Problems in Fractured Porous Media

  Maria Vasilyeva, Eric T. Chung, Yalchin Efendiev, Aleksey Tyrylgin

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  44863 3291 Pages:619-638