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  • Graph-Based Methods for Hyperbolic Systems of Conservation Laws Using Discontinuous Space Discretizations

    Martin Kronbichler, Matthias Maier, Ignacio Tomas
    2025-07-11
    5012 494 Pages:74-108
  • Effectiveness of Implicit Methods for Stiff Stochastic Differential Equations

    Tiejun Li, Assyr Abdulle & Weinan E
    2018-03-24
    39967 3881 Pages:295-307
  • A Numerical Comparison of Outflow Boundary Conditions for Spectral Element Simulations of Incompressible Flows

    C. Xu & Y. Lin
    2007-02-01
    38511 4147 Pages:477-500
  • Quantum Implementation of Numerical Methods for Convection-Diffusion Equations: Toward Computational Fluid Dynamics

    Bofeng Liu, Lixing Zhu, Zixuan Yang, Guowei He
    2023-03-13
    41010 3389 Pages:425-451
  • The Corrected Finite Volume Element Methods for Diffusion Equations Satisfying Discrete Extremum Principle

    Ang Li, Hongtao Yang, Yonghai Li, Guangwei Yuan
    2023-01-24
    37675 3020 Pages:1437-1473
  • A Review on Contact and Collision Methods for Multi-Body Hydrodynamic Problems in Complex Flows

    S. Karimnejad, A. Amiri Delouei, H. Başağaoğlu, M. Nazari, M. Shahmardan, G. Falcucci, M. Lauricella, S. Succi
    2022-10-28
    50188 3319 Pages:899-950
  • A Symplectic Based Neural Network Algorithm for Quantum Controls under Uncertainty

    Jingshi Li, Song Chen, Lijin Wang, Yanzhao Cao
    2022-05-06
    43541 3322 Pages:1525-1545
  • A Mixed Finite Element Scheme for Biharmonic Equation with Variable Coefficient and von Kármán Equations

    Huangxin Chen, Amiya K. Pani, Weifeng Qiu
    2022-05-06
    44482 3270 Pages:1434-1466
  • High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations

    Yupeng Ren, Yulong Xing, Jianxian Qiu
    2021-12-06
    47369 3809 Pages:154-187
  • Layer-Splitting Methods for Time-Dependent Schrödinger Equations of Incommensurate Systems

    Ting Wang, Huajie Chen, Aihui Zhou, Yuzhi Zhou
    2021-10-26
    49699 3262 Pages:1474-1498
  • DAFI: An Open-Source Framework for Ensemble-Based Data Assimilation and Field Inversion

    Carlos A. Michelén Ströfer, Xin-Lei Zhang, Heng Xiao
    2021-03-24
    46782 3161 Pages:1583-1622
  • Multi-Scale Deep Neural Network (MscaleDNN) Methods for Oscillatory Stokes Flows in Complex Domains

    Bo Wang, Wenzhong Zhang, Wei Cai
    2020-11-18
    64184 3294 Pages:2139-2157
  • Random Batch Algorithms for Quantum Monte Carlo Simulations

    Shi Jin, Xiantao Li
    2020-11-18
    62319 3426 Pages:1907-1936
  • $H^2$-Conforming Methods and Two-Grid Discretizations for the Elastic Transmission Eigenvalue Problem

    Yidu Yang, Jiayu Han, Hai Bi
    2020-08-27
    49404 3189 Pages:1366-1388
  • Weak Galerkin and Continuous Galerkin Coupled Finite Element Methods for the Stokes-Darcy Interface Problem

    Hui Peng, Qilong Zhai, Ran Zhang, Shangyou Zhang
    2020-07-21
    47451 3176 Pages:1147-1175
  • Central Discontinuous Galerkin Methods for the Generalized Korteweg-de Vries Equation

    Mengjiao Jiao, Yingda Cheng, Yong Liu, Mengping Zhang
    2020-07-21
    48213 3258 Pages:927-966
  • Improved RBF Collocation Methods for Fourth Order Boundary Value Problems

    C. S. Chen, Andreas Karageorghis, Hui Zheng
    2020-05-06
    50290 3415 Pages:1530-1549
  • A Study of Several Artificial Viscosity Models within the Discontinuous Galerkin Framework

    Jian Yu, Jan S. Hesthaven
    2020-05-06
    54545 4012 Pages:1309-1343
  • A Multirate Approach for Fluid-Structure Interaction Computation with Decoupled Methods

    Lian Zhang, Mingchao Cai, Mo Mu
    2020-02-23
    51185 3300 Pages:1014-1031
  • Finite-Volume-Particle Methods for the Two-Component Camassa-Holm System

    Alina Chertock, Yongle Liu
    2019-12-07
    45396 3336 Pages:480-502
  • Asymptotic Preserving Spectral Deferred Correction Methods for Hyperbolic Systems with Relaxation

    Chong Sun & Yinhua Xia
    2019-04-04
    46021 3329 Pages:531-557
  • Two Kinds of New Energy-Preserving Schemes for the Coupled Nonlinear Schrödinger Equations

    Mingzhan Song, Xu Qian, Hong Zhang, Jingmin Xia & Songhe Song
    2018-12-08
    49667 3533 Pages:1127-1143
  • Data-Driven, Physics-Based Feature Extraction from Fluid Flow Fields Using Convolutional Neural Networks

    Carlos Michelén Ströfer, Jin-Long Wu, Heng Xiao & Eric Paterson
    2018-11-09
    66513 6097 Pages:625-650 Open-access
  • Developing Finite Element Methods for Simulating Transformation Optics Devices with Metamaterials

    Wei Yang, Jichun Li, Yungqing Huang & Bin He
    2018-09-01
    46356 5412 Pages:135-154
  • A Posteriori Error Estimates of Discontinuous Streamline Diffusion Methods for Transport Equations

    Juan Sun, Zhaojie Zhou & Huipo Liu
    2018-09-17
    44506 3585 Pages:1355-1374
  • Integrated Linear Reconstruction for Finite Volume Scheme on Arbitrary Unstructured Grids

    Li Chen, Guanghui Hu & Ruo Li
    2018-09-17
    48611 3320 Pages:454-480
  • Uncertainty Quantification for Charge Transport in GNRs Through Particle Galerkin Methods for the Semiclassical Boltzmann Equation

    Andrea Medaglia, Giovanni Nastasi, Vittorio Romano, Mattia Zanella
    2025-04-27
    186 50 Pages:1055-1084
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