Search Results

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

  Xiaoliang Wan, George Em Karniadakis

  2018-04-11

  41376 3605 Pages:793-820

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

  Jiao Liu, Zhenhua Chai, Baochang Shi

  2024-06-14

  28398 1941 Pages:1309-1326

• 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

  49445 3275 Pages:967-998

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

  Wenju Liu, Yanjiao Zhou, Zhiyue Zhang

  2024-03-13

  26576 2274 Pages:313-368

• An Efficient DDG/FV Hybrid Method for 3D Viscous Flow Simulations on Tetrahedral Grids

  Shuai Shao, Ming Li, Nianhua Wang, Laiping Zhang

  2020-07-30

  45508 3775 Pages:725-752

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

  Timothy Reis

  2020-03-06

  52996 5356 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

  45932 3933 Pages:1394-1412

• Mixed Spectral Element Method for 2D Maxwell's Eigenvalue Problem

  Na Liu, Luis Tobón, Yifa Tang, Qing Huo Liu

  2020-07-30

  41834 3166 Pages:458-486

• A Second-Order Langevin Sampler Preserving Positive Volume for Isothermal–Isobaric Ensemble

  Lei Li, Yuzhou Peng

  2025-08-23

  6599 499 Pages:630-660

• 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

  43264 3365 Pages:1065-1089

• A Kolmogorov High Order Deep Neural Network for High Frequency Partial Differential Equations in High Dimensions

  Yaqin Zhang, Ke Li, Zhipeng Chang, Xuejiao Liu, Yunqing Huang, Xueshuang Xiang

  2025-07-11

  5373 896 Pages:181-222

• 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

  40884 3228 Pages:970-997

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

  Boling Guo, Qiang Xu, Ailing Zhu

  2018-04-03

  40785 3223 Pages:733-757

• High-Order Symplectic Schemes for Stochastic Hamiltonian Systems

  Jian Deng, Cristina Anton, Yau Shu Wong

  2014-07-06

  41427 4334 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

  40145 4397 Pages:1408-1431

• An Exponential-Free Runge–Kutta Framework for Developing Third-Order Unconditionally Energy Stable Schemes for the Cahn–Hilliard Equation

  Haifeng Wang, Jingwei Sun, Hong Zhang, Xu Qian, Songhe Song

  2026-04-10

  151 34 Pages:199-238

• A Rate of Convergence of Weak Adversarial Neural Networks for the Second Order Parabolic PDEs

  Yuling Jiao, Jerry Zhijian Yang, Cheng Yuan, Junyu Zhou

  2023-10-07

  35603 2926 Pages:813-836

• Isogeometric Analysis with Proper Orthogonal Decomposition for Elastodynamics

  Richen Li, Qingbiao Wu, Shengfeng Zhu

  2021-05-25

  48472 3361 Pages:396-422

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

  Jiwei Zhang, Zhizhong Sun, Xiaonan Wu, Desheng Wang

  2011-10-01

  38939 3929 Pages:742-766

• VPVnet: A Velocity-Pressure-Vorticity Neural Network Method for the Stokes’ Equations under Reduced Regularity

  Yujie Liu, Chao Yang

  2022-03-03

  45628 3276 Pages:739-770

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

  Riccardo Fazio, Giovanni Russo

  2010-08-01

  39876 4056 Pages:797-822

• SPEEDUP Code for Calculation of Transition Amplitudes via the Effective Action Approach

  Antun Balaž, Ivana Vidanović, Danica Stojiljković, Dušan Vudragović, Aleksandar Belić, Aleksandar Bogojević

  2012-11-01

  42969 4109 Pages:739-755

• A Lowest-Order Mixed Finite Element Method for the Elastic Transmission Eigenvalue Problem

  Yingxia Xi, Xia Ji

  2020-07-21

  47456 3151 Pages:1105-1132

• 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

  202 159 Pages:203-230

• Error Analysis of the Supplementary Variable Method for the Allen-Cahn Model

  Xuehua Song, Binquan Ji, Yuezheng Gong, Yushun Wang

  2025-08-23

  6599 518 Pages:684-710

• Numerical Analysis of the Midpoint Scheme for the Generalized Benjamin-Bona-Mahony Equation with White Noise Dispersion

  Guillaume Fenger, Olivier Goubet, Youcef Mammeri

  2019-08-27

  47280 3700 Pages:1397-1414

• A Novel Second-Order Scheme for the Molecular Beam Epitaxy Model with Slope Selection

  Lizhen Chen, Jia Zhao, Yuezheng Gong

  2018-12-08

  49134 3717 Pages:1024-1044