Search Results

• Burnett Order Stress and Spatially-Dependent Boundary Conditions for the Lattice Boltzmann Method

  Timothy Reis

  2020-03-06

  52802 5210 Pages:167-197

• A Highly Efficient Numerical Method for Rotating Oceanographic Flows Modeled by Saint-Venant System with Coriolis Forces

  Xin Liu

  2019-01-10

  45740 3874 Pages:1394-1412

• A High-Order Time Domain Discontinuous Galerkin Method with Orthogonal Tetrahedral Basis for Electromagnetic Simulations in 3-D Heterogeneous Conductive Media

  Jun Yang, Wei Cai & Xiaoping Wu

  2018-04-09

  43107 3303 Pages:1065-1089

• A Well-Conditioned Hypersingular Boundary Element Method for Electrostatic Potentials in the Presence of Inhomogeneities within Layered Media

  Brian Zinser & Wei Cai

  2018-04-04

  40759 3186 Pages:970-997

• A Second-Order Finite Difference Method for Two-Dimensional Fractional Percolation Equations

  Boling Guo, Qiang Xu & Ailing Zhu

  2018-04-03

  40645 3175 Pages:733-757

• High-Order Symplectic Schemes for Stochastic Hamiltonian Systems

  Jian Deng, Cristina Anton & Yau Shu Wong

  2014-07-06

  41218 4201 Pages:169-200

• A Jacobian-Free Newton Krylov Implicit-Explicit Time Integration Method for Incompressible Flow Problems

  Samet Y. Kadioglu & Dana A. Knoll

  2013-05-05

  39998 4332 Pages:1408-1431

• Analysis of High-Order Absorbing Boundary Conditions for the Schrödinger Equation

  Jiwei Zhang, Zhizhong Sun, Xiaonan Wu & Desheng Wang

  2011-10-01

  38806 3871 Pages:742-766

• Central Schemes and Second Order Boundary Conditions for 1D Interface and Piston Problems in Lagrangian Coordinates

  Riccardo Fazio & Giovanni Russo

  2010-08-01

  39709 3989 Pages:797-822

• A Family of Characteristic Discontinuous Galerkin Methods for Transient Advection-Diffusion Equations and Their Optimal-Order L2 Error Estimates

  Kaixin Wang, Hong Wang, Mohamed Al-Lawatia & Hongxing Rui

  2009-06-01

  70 42 Pages:203-230

• An Improved Diffuse-Interface Lattice Boltzmann Method for Particulate Flows

  Jiao Liu, Zhenhua Chai, Baochang Shi

  2024-06-14

  28157 1838 Pages:1309-1326

• Energy-Preserving Hybrid Asymptotic Augmented Finite Volume Methods for Nonlinear Degenerate Wave Equations

  Wenju Liu, Yanjiao Zhou, Zhiyue Zhang

  2024-03-13

  26355 2190 Pages:313-368

• General Synthetic Iterative Scheme for Unsteady Rarefied Gas Flows

  Jianan Zeng, Wei Su, Lei Wu

  2023-08-14

  33585 3269 Pages:173-207

• The Bulk-Surface Virtual Element Method for Reaction-Diffusion PDEs: Analysis and Applications

  Massimo Frittelli, Anotida Madzvamuse, Ivonne Sgura

  2023-04-28

  32547 3098 Pages:733-763 Open-access

• A Continuous Finite Element Method with Homotopy Vanishing Viscosity for Solving the Static Eikonal Equation

  Yong Yang, Wenrui Hao, Yong-Tao Zhang

  2022-05-06

  45461 3223 Pages:1402-1433

• A Rate of Convergence of Physics Informed Neural Networks for the Linear Second Order Elliptic PDEs

  Yuling Jiao, Yanming Lai, Dingwei Li, Xiliang Lu, Fengru Wang, Yang Wang, Jerry Zhijian Yang

  2022-03-30

  51825 3084 Pages:1272-1295

• Finite Neuron Method and Convergence Analysis

  Jinchao Xu

  2020-11-18

  70207 3742 Pages:1707-1745

• A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters

  Lixiu Dong, Cheng Wang, Hui Zhang, Zhengru Zhang

  2020-07-21

  49155 3215 Pages:967-998

• $C^0$IPG for a Fourth Order Eigenvalue Problem

  Xia Ji, Hongrui Geng, Jiguang Sun & Liwei Xu

  2018-04-03

  42362 3175 Pages:393-410

• An Iterative Discontinuous Galerkin Method for Solving the Nonlinear Poisson Boltzmann Equation

  Peimeng Yin, Yunqing Huang & Hailiang Liu

  2014-08-03

  42236 4102 Pages:491-515

• Approximation of H(div) with High-Order Optimal Finite Elements for Pyramids, Prisms and Hexahedra

  Morgane Bergot & Marc Duruflé

  2013-11-05

  39981 3927 Pages:1372-1414

• Error Control in Multi-Element Generalized Polynomial Chaos Method for Elliptic Problems with Random Coefficients

  Xiaoliang Wan & George Em Karniadakis

  2018-04-11

  41208 3549 Pages:793-820

• An Arbitrary Order Mixed Finite Element Method with Boundary Value Correction for the Darcy Flow on Curved Domains

  Yongli Hou, Yanqiu Wang

  2025-05-29

  187 58 Pages:1227-1249

• Mortar Finite Element Method for the Coupling of Time Dependent Navier-Stokes and Darcy Equations

  Xin Zhao, Chuanjun Chen

  2025-09-02

  364 60 Pages:701-739

• A Local Model Reduction Method Based on $k$-Nearest-Neighbors for Parametrized Nonlocal Problems

  Caixia Nan, Qiuqi Li, Huailing Song

  2025-01-22

  188 120 Pages:220-249

• A Finite Volume Scheme for Three-Dimensional Diffusion Equations

  Xiang Lai, Zhiqiang Sheng & Guangwei Yuan

  2018-04-03

  39339 3066 Pages:650-672

• Preconditioned Iterative Methods for Two-Dimensional Space-Fractional Diffusion Equations

  Xiao-Qing Jin, Fu-Rong Lin & Zhi Zhao

  2018-04-03

  38614 3095 Pages:469-488