Search Results

• A Locally Mass-Conservative Enriched Petrov-Galerkin Method Without Penalty for the Darcy Flow in Porous Media

  Huangxin Chen, Piaopiao Dong, Shuyu Sun, Zixuan Wang

  2026-01-18

  215 48 Pages:1199-1230

• A Highly Scalable Boundary Integral Equation and Walk-on-Spheres (BIE-WOS) Method for the Laplace Equation with Dirichlet Data

  Changhao Yan, Wei Cai, Xuan Zeng

  2021-03-24

  44853 3209 Pages:1446-1468

• A Strong Stability-Preserving Predictor-Corrector Method for the Simulation of Elastic Wave Propagation in Anisotropic Media

  D. H. Yang, N. Wang & E. Liu

  2012-12-01

  40458 4291 Pages:1006-1032

• Numerical Simulations for the Quasi-3D Fluid Streamer Propagation Model: Methods and Applications

  Chijie Zhuang, Mengmin Huang & Rong Zeng

  2020-07-31

  43287 3294 Pages:1259-1278

• A Geometry-Preserving Finite Volume Method for Compressible Fluids on Schwarzschild Spacetime

  Philippe G. LeFloch & Hasan Makhlof

  2014-03-05

  41610 4023 Pages:827-852

• A New Coupled Complex Boundary Method for Bioluminescence Tomography

  Rongfang Gong, Xiaoliang Cheng & Weimin Han

  2018-04-03

  40632 5200 Pages:226-250

• Adaptive Neural Network Basis Methods for Partial Differential Equations with Low-Regular Solutions

  Jianguo Huang, Haohao Wu, Tao Zhou

  2026-02-15

  3794 129 Pages:553-577

• A Hybrid FETD-FDTD Method with Nonconforming Meshes

  Bao Zhu, Jiefu Chen, Wanxie Zhong & Qing Huo Liu

  2011-03-05

  39078 4101 Pages:828-842

• 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

  39606 3927 Pages:571-598

• Deep Learning-Based Computational Method for Soft Matter Dynamics: Deep Onsager-Machlup Method

  Zhihao Li, Boyi Zou, Haiqin Wang, Jian Su, Dong Wang, Xinpeng Xu

  2025-09-02

  11749 752 Pages:353-382

• A Hybrid Method for Computing the Schrödinger Equations with Periodic Potential with Band-Crossings in the Momentum Space

  Lihui Chai, Shi Jin & Peter A. Markowich

  2020-07-31

  44168 3208 Pages:989-1020

• Fast Solution of Three-Dimensional Modified Helmholtz Equations by the Method of Fundamental Solutions

  Ji Lin, C. S. Chen & Chein-Shan Liu

  2018-04-04

  39996 3156 Pages:512-533

• An Application of the Level Set Method to Underwater Acoustic Propagation

  Sheri L. Martinelli

  2012-12-01

  42424 3950 Pages:1359-1391

• A Modified Convolution Quadrature Combined with the Method of Fundamental Solutions and Galerkin BEM for Acoustic Scattering

  Ebraheem Aldahham, Lehel Banjai

  2025-09-02

  10104 527 Pages:761-782

• A Novel High-Order Shock-Capturing Limiter for RKDG Method on Unstructured Meshes via TENO Selection Strategies

  Haohan Huang, Tian Liang, Mingduo Yuan, Lin Fu

  2026-02-15

  3822 156 Pages:387-416

• A Multiscale Algorithm to Drastically Reduce Computational Times when Simulating Liquid/Solid Interaction at Atomic Resolution with Realistic Hydrodynamics Effects

  Fan Li, Ivan Korotkin, Sergey Karabasov

  2026-02-15

  3757 146 Pages:475-512

• A Hodge Decomposition Method for Dynamic Ginzburg–Landau Equations in Nonsmooth Domains — A Second Approach

  Buyang Li, Kai Wang, Zhimin Zhang

  2020-06-05

  49113 3317 Pages:768-802

• Simulation of Three-Dimensional Free-Surface Flows Using Two-Dimensional Multilayer Shallow Water Equations

  Saida Sari, Thomas Rowan, Mohammed Seaid, Fayssal Benkhaldoun

  2020-05-06

  49887 3601 Pages:1413-1442

• A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems

  Yaning Xie, Shuwang Li, Wenjun Ying

  2023-04-28

  32807 3047 Pages:764-794

• A Fourth-Order Upwinding Embedded Boundary Method (UEBM) for Maxwell's Equations in Media with Material Interfaces: Part I

  S. Deng & W. Cai

  2006-01-01

  38445 3768 Pages:744-764

• A Conservative and Monotone Characteristic Finite Element Solver for Three-Dimensional Transport and Incompressible Navier-Stokes Equations on Unstructured Grids

  Bassou Khouya, Mofdi El-Amrani, Mohammed Seaid

  2021-12-06

  50403 4305 Pages:224-256

• Acoustic Scattering Problems with Convolution Quadrature and the Method of Fundamental Solutions

  Labarca Ignacio, Hiptmair Ralf

  2021-08-10

  47209 3156 Pages:985-1008

• Data Generation-Based Operator Learning for Solving Partial Differential Equations on Unbounded Domains

  Jihong Wang, Xin Wang, Jing Li, Bin Liu

  2025-05-29

  8885 481 Pages:1383-1416

• A Sub-Grid Structure Enhanced Discontinuous Galerkin Method for Multiscale Diffusion and Convection-Diffusion Problems

  Eric T. Chung & Wing Tat Leung

  2014-08-05

  40960 4305 Pages:370-392

• A Multigrid Method for Ground State Solution of Bose-Einstein Condensates

  Hehu Xie & Manting Xie

  2018-04-03

  40494 3249 Pages:648-662

• An Efficient Spectral Method for the Inextensible Immersed Interface in Incompressible Flows

  Xiaoling Liu, Fangying Song & Chuanju Xu

  2018-12-08

  49104 3520 Pages:1071-1096

• 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

  44972 3311 Pages:619-638