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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
    2019-12-07
    45099 3142 Pages:460-479
  • 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
    2019-12-07
    47064 3263 Pages:412-430
  • Better Approximations of High Dimensional Smooth Functions by Deep Neural Networks with Rectified Power Units

    Bo Li, Shanshan Tang, Haijun Yu
    2019-12-07
    51826 3403 Pages:379-411
  • A New Multi-Component Diffuse Interface Model with Peng-Robinson Equation of State and Its Scalar Auxiliary Variable (SAV) Approach

    Zhonghua Qiao, Shuyu Sun, Tao Zhang, Yuze Zhang
    2019-08-27
    48016 3436 Pages:1597-1616
  • High-Order Spectral Simulation of Graphene Ribbons

    David P. Nicholls
    2019-08-27
    43504 3175 Pages:1575-1596
  • Linear and Unconditionally Energy Stable Schemes for the Multi-Component Two-Phase Diffuse Interface Model with Peng-Robinson Equation of State

    Chenfei Zhang, Hongwei Li, Xiaoping Zhang, Lili Ju
    2019-07-02
    46063 3305 Pages:1071-1097
  • The Gaussian Wave Packet Transform for the Semi-Classical Schrödinger Equation with Vector Potentials

    Zhennan Zhou & Giovanni Russo
    2019-04-04
    47389 5448 Pages:469-505 Open-access
  • Domain Decomposition for Quasi-Periodic Scattering by Layered Media via Robust Boundary-Integral Equations at All Frequencies

    Carlos Pérez-Arancibia, Stephen P. Shipman, Catalin Turc & Stephanos Venakides
    2019-02-25
    50109 5342 Pages:265-310
  • A Highly Efficient Numerical Method for Rotating Oceanographic Flows Modeled by Saint-Venant System with Coriolis Forces

    Xin Liu
    2019-01-10
    45832 3893 Pages:1394-1412
  • Three-Phase Model of Visco-Elastic Incompressible Fluid Flow and Its Computational Implementation

    Shixin Xu, Mark Alber & Zhiliang Xu
    2018-10-11
    48639 3413 Pages:586-624
  • Efficient Numerical Computation of Time-Fractional Nonlinear Schrödinger Equations in Unbounded Domain

    Jiwei Zhang, Dongfang Li & Xavier Antoine
    2018-09-01
    46695 5340 Pages:218-243
  • Incorporation of NURBS Boundary Representation with an Unstructured Finite Volume Approximation

    Yifan Xia, Gaofeng Wang, Yao Zheng, Tingwei Ji & Ching Y. Loh
    2018-09-17
    46252 3224 Pages:791-809
  • Stabilized Predictor-Corrector Schemes for Gradient Flows with Strong Anisotropic Free Energy

    Jie Shen & Jie Xu
    2018-09-17
    48110 4778 Pages:635-654 Open-access
  • Nonstandard Fourier Pseudospectral Time Domain (PSTD) Schemes for Partial Differential Equations

    Bradley E. Treeby, Elliott S. Wise & B. T. Cox
    2018-09-17
    46725 3302 Pages:623-634
  • A Fast Finite Difference Method for Tempered Fractional Diffusion Equations

    Xu Guo, Yutian Li & Hong Wang
    2018-09-17
    47038 3319 Pages:531-556
  • Three-Dimensional Numerical Simulation of Droplet Evaporation Using the Lattice Boltzmann Method Based on GPU-CUDA Accelerated Algorithm

    Qingyu Zhang, Changsheng Zhu & Mingfang Zhu
    2020-07-31
    50134 3257 Pages:1150-1166
  • Further Investigation on the Flow and Heat Transfer Mechanism of Single-Jet Film Cooling Based on Hybrid Thermal Lattice Boltzmann Method

    Yanqin Shangguan, Xian Wang, Hu Zhang & Yueming Li
    2020-07-31
    48984 3177 Pages:1094-1115
  • An Immersed Boundary Method for Simulating Interfacial Flows with Insoluble Surfactant in Three Dimensions

    Yunchang Seol, Shih-Hsuan Hsu & Ming-Chih Lai
    2018-08-21
    47368 3233 Pages:640-664
  • A Cartesian Scheme for Compressible Multimaterial Hyperelastic Models with Plasticity

    Alexia de Brauer, Angelo Iollo & Thomas Milcent
    2017-11-02
    42524 3513 Pages:1362-1384
  • A High-Order Method for Weakly Compressible Flows

    Klaus Kaiser, Jochen Schütz
    2017-10-02
    43916 3152 Pages:1150-1174
  • Computation of Hyperspherical Bessel Functions

    Thomas Tram
    2017-09-02
    41297 3298 Pages:852-862
  • A Third Order Adaptive ADER Scheme for One Dimensional Conservation Laws

    Yaguang Gu & Guanghui Hu
    2017-09-02
    44458 3194 Pages:829-851
  • Runge-Kutta Central Discontinuous Galerkin Methods for the Special Relativistic Hydrodynamics

    Jian Zhao & Huazhong Tang
    2017-09-02
    41630 3320 Pages:643-682
  • Exponential Time Differencing Gauge Method for Incompressible Viscous Flows

    Lili Ju & Zhu Wang
    2018-04-09
    41997 3282 Pages:517-541
  • Variations on Hermite Methods for Wave Propagation

    Arturo Vargas, Jesse Chan, Thomas Hagstrom & Timothy Warburton
    2018-04-09
    42040 3385 Pages:303-337
  • Study on Mass Transports in Evolution of Separation Bubbles Using LCSs and Lobe Dynamics

    Shengli Cao, Wei Wang, Jiazhong Zhang, Yan Liu
    2019-10-31
    41934 4099 Pages:285-302
  • Pressure-Correction Projection FEM for Time-Dependent Natural Convection Problem

    Jilian Wu, Xinlong Feng & Fei Liu
    2018-04-09
    43443 3181 Pages:1090-1117
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