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  • Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations

    Hojun You, Juhyun Kim, Chongam Kim
    2023-05-12
    36016 2932 Pages:992-1034
  • Interface Controlled Multiple Elimination by Sparsity Inversion

    Lanshu Bai, Yike Liu, Huiyi Lu
    2020-06-05
    50026 4937 Pages:459-476
  • An Adaptive ANOVA-Based Data-Driven Stochastic Method for Elliptic PDEs with Random Coefficient

    Zhiwen Zhang, Xin Hu, Thomas Y. Hou, Guang Lin & Mike Yan
    2014-12-08
    39540 3893 Pages:571-598
  • Efficient Solution of a Generalized Eigenvalue Problem Arising in a Thermoconvective Instability

    M. C. Navarro, H. Herrero, A. M. Mancho & A. Wathen
    2018-03-24
    39566 4055 Pages:308-329
  • A Hybrid Fluid-Solid Interaction Scheme Combining the Multi-Component Diffuse Interface Method and the Material Point Method

    Meiyan Fu, Ruo Li, Tiao Lu, Chengbao Yao
    2023-01-24
    37361 3151 Pages:1401-1436
  • Transition Operator Approach to Seismic Full-Waveform Inversion in Arbitrary Anisotropic Elastic Media

    Morten Jakobsen, Ivan Pšenčík, Einar Iversen, Bjørn Ursin
    2020-06-05
    51959 4487 Pages:297-327
  • Isogeometric Analysis with Proper Orthogonal Decomposition for Elastodynamics

    Richen Li, Qingbiao Wu, Shengfeng Zhu
    2021-05-25
    48273 3293 Pages:396-422
  • A Three-Level Multi-Continua Upscaling Method for Flow Problems in Fractured Porous Media

    Maria Vasilyeva, Eric T. Chung, Yalchin Efendiev, Aleksey Tyrylgin
    2019-12-07
    44863 3291 Pages:619-638
  • Müntz Spectral Method for Two-Dimensional Space-Fractional Convection-Diffusion Equation

    Dianming Hou, Mejdi Azaïez, Chuanju Xu
    2019-08-27
    53989 3634 Pages:1415-1443
  • A Numerical Scheme for Generalized Peierls-Nabarro Model of Dislocations Based on the Fast Multipole Method and Iterative Grid Redistribution

    Aiyu Zhu, Congming Jin, Degang Zhao, Yang Xiang & Jingfang Huang
    2020-07-30
    39854 3477 Pages:1282-1312
  • A Kernel-Free Boundary Integral Method for Variable Coefficients Elliptic PDEs

    Wenjun Ying & Wei-Cheng Wang
    2020-07-31
    40996 3866 Pages:1108-1140
  • A Determinant Aided Fixed Point Method for Nonlinear Coupled Constitutive Relation of Rarefied Nonequilibrium Flows

    Chengming Zeng, Dongjun Jiang, Qibing Li
    2025-11-28
    916 38 Pages:448-474
  • Simulation of Decoherence by Averaged Semiquantum Method

    Zhuo Wang, Quanlin Jie & Shi-Hui Zhang
    2010-07-01
    38322 3981 Pages:718-737
  • An Improved Adaptive Minimum Action Method for the Calculation of Transition Path in Non-Gradient Systems

    Yiqun Sun & Xiang Zhou
    2018-09-17
    44798 4925 Pages:44-68
  • An Implementation of MAC Grid-Based IIM-Stokes Solver for Incompressible Two-Phase Flows

    Zhijun Tan, K. M. Lim & B. C. Khoo
    2011-10-01
    39535 4404 Pages:1333-1362
  • Modified Ghost Fluid Method with Axisymmetric Source Correction (MGFM/ASC)

    Chengliang Feng, Tiegang Liu, Liang Xu, Changsheng Yu
    2020-06-05
    49562 3388 Pages:621-660
  • 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
    46946 3227 Pages:412-430
  • A High-Resolution Cell-Centered Lagrangian Method with a Vorticity-Based Adaptive Nodal Solver for Two-Dimensional Compressible Euler Equations

    Jin Qi, Baolin Tian & Jiequan Li
    2018-09-17
    45086 3172 Pages:774-790
  • Simulating an Elastic Ring with Bend and Twist by an Adaptive Generalized Immersed Boundary Method

    Boyce E. Griffith & Sookkyung Lim
    2020-07-31
    38619 3971 Pages:433-461
  • The Generalized Arrow-Hurwicz Method with Applications to Fluid Computation

    Binbin Du & Jianguo Huang
    2018-11-09
    47023 3500 Pages:752-780
  • Tree-Based Implementation of the Small Matrix Path Integral for System-Bath Dynamics

    Geshuo Wang, Zhenning Cai
    2024-09-06
    167 60 Pages:389-418
  • A Weighted Multi-Domain Spectral Penalty Method with Inhomogeneous Grid for Supersonic Injective Cavity Flows

    Wai-Sun Don, David Gottlieb & Jae-Hun Jung
    2009-05-01
    38636 3826 Pages:986-1011
  • Integral Equation Method for a Non-Selfadjoint Steklov Eigenvalue Problem

    Yunyun Ma, Jiguang Sun
    2022-05-06
    44844 3218 Pages:1546-1560
  • Semi-Eulerian and High Order Gaussian Beam Methods for the Schrödinger Equation in the Semiclassical Regime

    Shi Jin, Hao Wu & Xu Yang
    2011-03-05
    39292 4190 Pages:668-687
  • An Inverse Averaging Finite Element Method for Solving the Size-Modified Poisson-Nernst-Planck Equations in Ion Channel Simulations

    Ruigang Shen, Qianru Zhang, Benzhuo Lu
    2024-09-06
    162 62 Pages:521-550
  • A WENO-Based Stochastic Galerkin Scheme for Ideal MHD Equations with Random Inputs

    Kailiang Wu, Dongbin Xiu, Xinghui Zhong
    2021-05-25
    48872 3141 Pages:423-447
  • 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
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