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  • Neural Networks with Local Converging Inputs (NNLCI) for Solving Conservation Laws, Part I: 1D Problems

    Haoxiang Huang, Vigor Yang, Yingjie Liu
    2023-09-04
    35379 2818 Pages:290-317
  • Numerical Solution of the Incompressible Navier-Stokes Equation by a Deep Branching Algorithm

    Jiang Yu Nguwi, Guillaume Penent, Nicolas Privault
    2023-09-04
    33381 2823 Pages:261-289
  • Adaptive Multi-Resolution Method for 3D Reactive Flows with Level Set Front Capturing

    Wenhua Ma, Dongmi Luo, Wenjun Ying, Guoxi Ni, Min Xiao, Yibing Chen
    2023-04-28
    32480 2906 Pages:849-883
  • High Order Finite Difference Methods with Subcell Resolution for Stiff Multispecies Discontinuity Capturing

    Wei Wang, Chi-Wang Shu, H. C. Yee, Dmitry V. Kotov, Björn Sjögreen
    2020-07-30
    40849 2971 Pages:317-336
  • A Decoupled Energy Stable Adaptive Finite Element Method for Cahn–Hilliard–Navier–Stokes Equations

    Yaoyao Chen, Yunqing Huang, Nianyu Yi
    2021-02-25
    47818 3389 Pages:1186-1212
  • Continuous Data Assimilation with a Moving Cluster of Data Points for a Reaction Diffusion Equation: A Computational Study

    Adam Larios, Collin Victor
    2021-02-25
    43615 3142 Pages:1273-1298
  • EMPIRE-PIC: A Performance Portable Unstructured Particle-in-Cell Code

    Matthew T. Bettencourt, Dominic A. S. Brown, Keith L. Cartwright, Eric C. Cyr, Christian A. Glusa, Paul T. Lin, Stan G. Moore, Duncan A. O. McGregor, Roger P. Pawlowski, Edward G. Phillips, Nathan V. Roberts, Steven A. Wright, Satheesh Maheswaran, John P. Jones, Stephen A. Jarvis
    2021-08-10
    50038 3182 Pages:1232-1268
  • Vector Penalty-Projection Methods for Open Boundary Conditions with Optimal Second-Order Accuracy

    Philippe Angot, Rima Cheaytou
    2019-07-02
    45404 4508 Pages:1008-1038 Open-access
  • Optimal Error Estimates of a Discontinuous Galerkin Method for Stochastic Allen-Cahn Equation Driven by Multiplicative Noise

    Xu Yang, Weidong Zhao, Wenju Zhao
    2024-07-29
    162 183 Pages:133-159
  • Anomalous Sorption Kinetics of Self-Interacting Particles by a Spherical Trap

    Antonio Raudino, Antonio Grassi, Giuseppe Lombardo, Giovanni Russo, Clarissa Astuto, Mario Corti
    2022-03-03
    45450 3150 Pages:707-738
  • Continuous Finite Element Subgrid Basis Functions for Discontinuous Galerkin Schemes on Unstructured Polygonal Voronoi Meshes

    Walter Boscheri, Michael Dumbser, Elena Gaburro
    2022-07-06
    42146 3668 Pages:259-298
  • A New Artificial Neural Network Method for Solving Schrödinger Equations on Unbounded Domains

    Joshua P. Wilson, Weizhong Dai, Aniruddha Bora, Jacob C. Boyt
    2022-10-28
    47343 3461 Pages:1039-1060
  • Consistent Forcing Scheme in the Simplified Lattice Boltzmann Method for Incompressible Flows

    Yuan Gao, Liuming Yang, Yang Yu, Guoxiang Hou, Zhongbao Hou
    2021-10-26
    47219 3289 Pages:1427-1452
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