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  • Simulation of Power-Law Fluid Flows in Two-Dimensional Square Cavity Using Multi-Relaxation-Time Lattice Boltzmann Method

    Qiuxiang Li, Ning Hong, Baochang Shi & Zhenhua Chai
    2014-01-05
    40423 4684 Pages:265-284
  • Numerical Bifurcation Methods and Their Application to Fluid Dynamics: Analysis Beyond Simulation

    Henk A. Dijkstra, Fred W. Wubs, Andrew K. Cliffe, Eusebius Doedel, Ioana F. Dragomirescu, Bruno Eckhardt, Alexander Yu. Gelfgat, Andrew L. Hazel, Valerio Lucarini, Andy G. Salinger, Erik T. Phipps, Juan Sanchez-Umbria, Henk Schuttelaars, Laurette S. Tuckerman, Uwe Thiele
    2014-01-05
    40936 4841 Pages:1-45
  • Composite Coherent States Approximation for One-Dimensional Multi-Phased Wave Functions

    Dongsheng Yin & Chunxiong Zheng
    2012-11-01
    42371 514978 Pages:951-984
  • On Pattern Selection in Three-Dimensional Bénard-Marangoni Flows

    Arne Morten Kvarving, Tormod Bjøntegaard & Einar M. Rønquist
    2012-11-01
    42480 3900 Pages:893-924
  • Numerical Study of Surfactant-Laden Drop-Drop Interactions

    Jian-Jun Xu, Zhilin Li, John Lowengrub & Hongkai Zhao
    2011-10-01
    37804 4132 Pages:453-473
  • Efficient Solution of Ordinary Differential Equations with High-Dimensional Parametrized Uncertainty

    Zhen Gao & Jan S. Hesthaven
    2011-10-01
    38066 3961 Pages:253-278
  • Numerical Solution of the Upper-Convected Maxwell Model for Three-Dimensional Free Surface Flows

    Murilo F. Tomé, Renato A. P. Silva, Cassio M. Oishi & Sean McKee
    2018-03-24
    38660 4121 Pages:367-395
  • New 3D Benchmark for CFD-Codes Based on Analytical Solution of Spherically-Symmetric Gas Free Expansion

    Maxim Davydov, Olga Stoyanovskaya, Tatiana Savvateeva, Valeriy Snytnikov
    2025-08-08
    4361 412 Pages:439-466
  • Hybrid Finite Difference Fifth-Order Multi-Resolution WENO Scheme for Hamilton-Jacobi Equations

    Zhenming Wang, Jun Zhu, Linlin Tian, Ning Zhao
    2024-04-10
    24879 2145 Pages:609-632
  • Genuinely Multidimensional Physical-Constraints-Preserving Finite Volume Schemes for the Special Relativistic Hydrodynamics

    Dan Ling, Huazhong Tang
    2023-11-08
    31038 2626 Pages:955-992
  • On the Solution Accuracy Downstream of Shocks When Using Godunov-Type Schemes. I. Sources of Errors in One-Dimensional Problems

    Alexander V. Rodionov
    2023-10-07
    33949 2682 Pages:749-786
  • Superconvergence Analysis of $C^m$ Finite Element Methods for Fourth-Order Elliptic Equations I: One Dimensional Case

    Waixiang Cao, Lueling Jia, Zhimin Zhang
    2023-06-06
    37390 2905 Pages:1466-1508
  • Chromodynamic Lattice Boltzmann Method for the Simulation of Drops, Erythrocytes, and Other Vesicles

    J. Spendlove, X. Xu, T. Schenkel, J. P. Gunn, I. Halliday
    2023-02-20
    44521 3530 Pages:283-309
  • A Characteristic Boundary Condition for Multispeed Lattice Boltzmann Methods

    Friedemann Klass, Alessandro Gabbana, Andreas Bartel
    2023-02-20
    46694 3894 Pages:101-117
  • VAE-KRnet and Its Applications to Variational Bayes

    Xiaoliang Wan, Shuangqing Wei
    2022-03-30
    52156 3201 Pages:1049-1082
  • Mesh Adaptation for Curing the Pathological Behaviors of an Upwind Scheme

    Yifan Xia, Jianjing Zheng, Jianfeng Zou, Jifa Zhang, Gaofeng Wang, Yao Zheng
    2022-01-27
    42570 3227 Pages:626-644
  • A New Mapped WENO Scheme Using Order-Preserving Mapping

    Ruo Li, Wei Zhong
    2022-01-27
    43567 3239 Pages:548-592
  • Approximating the Gaussian as a Sum of Exponentials and Its Applications to the Fast Gauss Transform

    Shidong Jiang, Leslie Greengard
    2021-12-06
    63144 5151 Pages:1-26
  • On the Five-Moment Maximum Entropy System of One-Dimensional Boltzmann Equation

    Weiming Li, Yuwei Fan, Lingchao Zheng
    2021-10-26
    46689 3289 Pages:1390-1426
  • Two Nonlinear Positivity-Preserving Finite Volume Schemes for Three-Dimensional Heat Conduction Equations on General Polyhedral Meshes

    Menghuan Liu, Shi Shu, Guangwei Yuan, Xiaoqiang Yue
    2021-08-10
    47490 3185 Pages:1185-1215
  • A Hermite WENO Method with Modified Ghost Fluid Method for Compressible Two-Medium Flow Problems

    Zhuang Zhao, Yong-Tao Zhang, Yibing Chen, Jianxian Qiu
    2021-07-01
    48944 3187 Pages:851-873
  • Truncated $L_1$ Regularized Linear Regression: Theory and Algorithm

    Mingwei Dai, Shuyang Dai, Junjun Huang, Lican Kang, Xiliang Lu
    2021-04-30
    49908 4588 Pages:190-209
  • Adaptive Order WENO Reconstructions for the Semi-Lagrangian Finite Difference Scheme for Advection Problem

    Jiajie Chen, Xiaofeng Cai, Jianxian Qiu, Jing-Mei Qiu
    2021-04-30
    48428 4278 Pages:67-96
  • One-Dimensional Blood Flow with Discontinuous Properties and Transport: Mathematical Analysis and Numerical Schemes

    Alessandra Spilimbergo, Eleuterio F. Toro, Lucas O. Müller
    2021-01-13
    47441 3360 Pages:649-697
  • Extended Physics-Informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition Based Deep Learning Framework for Nonlinear Partial Differential Equations

    Ameya D. Jagtap, George Em Karniadakis
    2020-11-18
    147761 6053 Pages:2002-2041
  • High-Dimensional Nonlinear Multi-Fidelity Model with Gradient-Free Active Subspace Method

    Bangde Liu, Guang Lin
    2020-11-18
    62412 3326 Pages:1937-1969
  • A Multi-Scale DNN Algorithm for Nonlinear Elliptic Equations with Multiple Scales

    Xi-An Li, Zhi-Qin John Xu, Lei Zhang
    2020-11-18
    67104 3635 Pages:1886-1906
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