Articles

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

  Gayaz Khakimzyanov, Denys Dutykh

  321-378

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

  Bo Li, Shanshan Tang, Haijun Yu

  379-411

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• 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

  412-430

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

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

  431-459

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• 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

  460-479

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

  Alina Chertock, Yongle Liu

  480-502

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• Physical Valid Scale of General Continuum Models in Unsteady Flow

  Yaqun Yu, Yousheng Zhang, Baolin Tian, Zeyao Mo

  503-512

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

  Maurice S. Fabien

  513-545

  [An open-access article; the PDF is free to any online user.]

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

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

  546-568

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• 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

  569-588

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

  Feng Bao, Richard Archibald, Peter Maksymovych

  589-618

  [An open-access article; the PDF is free to any online user.]

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

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

  619-638

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