Search Results

• A Variational Neural Network Approach for Glacier Modelling with Nonlinear Rheology

  Tiangang Cui, Zhongjian Wang, Zhiwen Zhang

  2023-11-08

  30965 2628 Pages:934-954

• 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

  11909 813 Pages:353-382

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

  Xiaoling Liu, Fangying Song, Chuanju Xu

  2018-12-08

  49219 3554 Pages:1071-1096

• Extension of the High-Order Space-Time Discontinuous Galerkin Cell Vertex Scheme to Solve Time Dependent Diffusion Equations

  Shuangzhang Tu, Gordon W. Skelton, Qing Pang

  2012-11-01

  38737 4070 Pages:1503-1524

• Existence and Uniqueness of the Weak Solution of the Space-Time Fractional Diffusion Equation and a Spectral Method Approximation

  Xianjuan Li, Chuanju Xu

  2010-08-01

  46455 4876 Pages:1016-1051

• A Third Order Adaptive ADER Scheme for One Dimensional Conservation Laws

  Yaguang Gu, Guanghui Hu

  2017-09-02

  44547 3232 Pages:829-851

• Generalization Error Analysis of Neural Networks with Gradient Based Regularization

  Lingfeng Li, Xue-Cheng Tai, Jiang Yang

  2022-10-28

  45820 3322 Pages:1007-1038

• An Augmented Lagrangian Deep Learning Method for Variational Problems with Essential Boundary Conditions

  Jianguo Huang, Haoqin Wang, Tao Zhou

  2022-03-03

  50710 3358 Pages:966-986

• An Energy Conserving Local Discontinuous Galerkin Method for a Nonlinear Variational Wave Equation

  Nianyu Yi, Hailiang Liu

  2018-08-21

  46617 3282 Pages:747-772

• Spurious Solutions in the Multiband Effective Mass Theory Applied to Low Dimensional Nanostructures

  B. Lassen, R. V. N. Melnik, M. Willatzen

  2009-06-01

  37770 4171 Pages:699-729

• Loss Jump During Loss Switch in Solving PDEs with Neural Networks

  Zhiwei Wang, Lulu Zhang, Zhongwang Zhang, Zhi-Qin John Xu

  2024-10-29

  17521 1208 Pages:1090-1112

• An Adjoint State Method for Numerical Approximation of Continuous Traffic Congestion Equilibria

  Songting Luo, Shingyu Leung, Jianliang Qian

  2011-10-01

  39292 4134 Pages:1113-1131

• A Variational Binary Level Set Method for Structural Topology Optimization

  Xiaoxia Dai, Peipei Tang, Xiaoliang Cheng, Minghui Wu

  2013-05-05

  40365 4242 Pages:1292-1308

• Multigrid Method for the Chan-Vese Model in Variational Segmentation

  Noor Badshah, Ke Chen

  2018-03-24

  38140 3903 Pages:294-316

• Second-Kind Boundary Integral Equations for Scattering at Composite Partly Impenetrable Objects

  Xavier Claeys, Ralf Hiptmair, Elke Spindler

  2018-07-03

  46903 5165 Pages:264-295

• A Two-Stage Image Segmentation Model for Multi-Channel Images

  Zhi Li, Tieyong Zeng

  2018-04-04

  42779 4291 Pages:904-926

• Stability and Conservation Properties of Collocated Constraints in Immersogeometric Fluid-Thin Structure Interaction Analysis

  David Kamensky, John A. Evans, Ming-Chen Hsu

  2020-07-31

  38631 3150 Pages:1147-1180

• Wavelet Galerkin Methods for Aerosol Dynamic Equations in Atmospheric Environment

  Dong Liang, Qiang Guo, Sunling Gong

  2009-06-01

  38395 4172 Pages:109-130

• Spectral Elliptic Solvers in a Finite Cylinder

  F. Auteri, L. Quartapelle

  2018-04-11

  42126 3783 Pages:426-441

• A General Moving Mesh Framework in 3D and Its Application for Simulating the Mixture of Multi-Phase Flows

  Yana Di, Ruo Li, Tao Tang

  2008-03-01

  40141 4160 Pages:582-602

• MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs

  Lulu Zhang, Tao Luo, Yaoyu Zhang, Weinan E, Zhi-Qin John Xu, Zheng Ma

  2022-08-11

  307216 3645 Pages:299-335

• Optimal Error Estimates of a Discontinuous Galerkin Method for Stochastic Allen-Cahn Equation Driven by Multiplicative Noise

  Xu Yang, Weidong Zhao, Wenju Zhao

  2024-07-29

  24977 2123 Pages:133-159