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

  723 107 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

  44964 3236 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

  40547 4324 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

  43380 3317 Pages:1259-1278

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

  Philippe G. LeFloch, Hasan Makhlof

  2014-03-05

  41682 4052 Pages:827-852

• A New Coupled Complex Boundary Method for Bioluminescence Tomography

  Rongfang Gong, Xiaoliang Cheng, Weimin Han

  2018-04-03

  40728 5276 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

  4057 188 Pages:553-577

• A Hybrid FETD-FDTD Method with Nonconforming Meshes

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

  2011-03-05

  39195 4122 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

  39705 3967 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

  11903 807 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

  44265 3235 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

  40076 3192 Pages:512-533

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

  Sheri L. Martinelli

  2012-12-01

  42491 3986 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

  10225 561 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

  4065 196 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

  4025 226 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

  49223 3354 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

  49999 3632 Pages:1413-1442

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

  Yaning Xie, Shuwang Li, Wenjun Ying

  2023-04-28

  32917 3085 Pages:764-794

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

  Shaozhong Deng, Wei Cai

  2006-01-01

  38530 3802 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

  50503 4370 Pages:224-256

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

  Labarca Ignacio, Hiptmair Ralf

  2021-08-10

  47304 3190 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

  9031 519 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

  41038 4332 Pages:370-392

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

  Hehu Xie, Manting Xie

  2018-04-03

  40579 3272 Pages:648-662

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

  Xiaoling Liu, Fangying Song, Chuanju Xu

  2018-12-08

  49214 3550 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

  45076 3337 Pages:619-638