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• Convergence Analysis of OT-Flow for Sample Generation

  Yang Jing, Lei Li

  2025-05-16

  7334 541 Pages:325-352

• Analysis and Efficient Implementation of Quadratic Spline Collocation ADI Methods for Variable-Order Time-Fractional Mobile-Immobile Diffusion Equations

  Jun Liu, Hongfei Fu, Bingyin Zhang, Jiansong Zhang

  2025-04-06

  6857 656 Pages:226-258

• A Stabilized Physics Informed Neural Networks Method for Wave Equations

  Yuling Jiao, Yuhui Liu, Jerry Zhijian Yang, Cheng Yuan

  2024-12-11

  11793 1380 Pages:1100-1127

• Robust Globally Divergence-Free Weak Galerkin Methods for Stationary Incompressible Convective Brinkman-Forchheimer Equations

  Xiaojuan Wang, Xiaoping Xie

  2024-12-11

  11877 1310 Pages:956-995

• Multi-Dimensional Image Recovery via Self-Supervised Nonlinear Transform Based a Three-Directional Tensor Nuclear Norm

  Gen Li, Zhihui Tu, Jian Lu, Chao Wang, Lixin Shen

  2024-08-30

  17893 1395 Pages:727-750

• A Stabilizer Free Weak Galerkin Finite Element Method for Elliptic Equation with Lower Regularity

  Yiying Wang, Yongkui Zou, Xuan Liu, Chenguang Zhou

  2024-05-11

  21109 1741 Pages:514-533

• Efficiently Training Physics-Informed Neural Networks via Anomaly-Aware Optimization

  Jiacheng Li, Min Yang, Chuanjun Chen

  2024-05-11

  27262 2263 Pages:310-330

• On Lagrange-Projection Schemes for Shallow Water Flows over Movable Bottom with Suspended and Bedload Transport

  Alessia Del Grosso, Manuel J. Castro Díaz, Christophe Chalons, Tomás Morales de Luna

  2023-11-07

  33571 2677 Pages:1087-1126

• Projection Improved SPAI Preconditioner for FGMRES

  Mingguang Geng, Shuli Sun

  2023-11-07

  28251 2332 Pages:1035-1052

• Convergence Analysis of a Quasi-Monte Carlo-Based Deep Learning Algorithm for Solving Partial Differential Equations

  Fengjiang Fu, Xiaoqun Wang

  2023-08-29

  28404 2513 Pages:668-700

• Convergence of Weak Galerkin Finite Element Method for Second Order Linear Wave Equation in Heterogeneous Media

  Bhupen Deka, Papri Roy, Naresh Kumar, Raman Kumar

  2023-04-10

  38183 2841 Pages:323-347

• A Unified Fast Memory-Saving Time-Stepping Method for Fractional Operators and Its Applications

  Yuxiang Huang, Qiaoge Li, Rongxin Li, Fanhai Zeng, Ling Guo

  2022-07-19

  42320 3188 Pages:679-714

• A Robust Modified Weak Galerkin Finite Element Method for Reaction-Diffusion Equations

  Guanrong Li, Yanping Chen, Yunqing Huang

  2022-02-09

  45046 3911 Pages:68-90

• An Efficient Mapped WENO Scheme Using Approximate Constant Mapping

  Ruo Li, Wei Zhong

  2022-02-09

  44943 3712 Pages:1-41

• A Sequential Least Squares Method for Elliptic Equations in Non-Divergence Form

  Ruo Li, Fanyi Yang

  2021-09-10

  46285 2569 Pages:1042-1067

• Generalized Rough Polyharmonic Splines for Multiscale PDEs with Rough Coefficients

  Xinliang Liu, Lei Zhang, Shengxin Zhu

  2021-09-10

  47909 2752 Pages:862-892

• An Improved Linearity-Preserving Cell-Centered Scheme for Nonlinear Diffusion Problems on General Meshes

  Cheng Dong, Tong Kang

  2021-01-26

  44708 2655 Pages:405-437

• Quasi-Monte Carlo Sampling for Solving Partial Differential Equations by Deep Neural Networks

  Jingrun Chen, Rui Du, Panchi Li, Liyao Lyu

  2021-01-26

  46361 2749 Pages:377-404

• Multi-Level Monte Carlo Path Integral Molecular Dynamics for Thermal Average Calculation in the Nonadiabatic Regime

  Xiaoyu Lei, Zhennan Zhou

  2021-01-26

  45624 2794 Pages:321-354

• Numerical Analysis of a Dynamic Contact Problem with History-Dependent Operators

  Hailing Xuan, Xiaoliang Cheng, Weimin Han, Qichang Xiao

  2020-03-16

  57865 3165 Pages:569-594

• A Multiple Scalar Auxiliary Variables Approach to the Energy Stable Scheme of the Moving Contact Line Problem

  Fengdai Kang, Zhen Zhang

  2020-03-09

  42902 2655 Pages:539-568

• The Conservation and Convergence of Two Finite Difference Schemes for KdV Equations with Initial and Boundary Value Conditions

  Jinye Shen, Xuping Wang, Zhi-zhong Sun

  2020-03-06

  45969 4377 Pages:253-280

• A Vertex-Centered and Positivity-Preserving Finite Volume Scheme for Two-Dimensional Three-Temperature Radiation Diffusion Equations on General Polygonal Meshes

  Shuai Su, Jiming Wu

  2020-03-06

  42749 4184 Pages:220-252

• A Linearized Second-Order Difference Scheme for the Nonlinear Time-Fractional Fourth-Order Reaction-Diffusion Equation

  Hong Sun, Zhi-zhong Sun, Rui Du

  2019-10-12

  48712 2707 Pages:1168-1190

• Error Estimates and Superconvergence of a High-Accuracy Difference Scheme for a Parabolic Inverse Problem with Unknown Boundary Conditions

  Liping Zhou, Shi Shu, Haiyuan Yu

  2019-10-12

  45952 2680 Pages:1119-1140

• Finite Difference Schemes for the Variable Coefficients Single and Multi-Term Time-Fractional Diffusion Equations with Non-Smooth Solutions on Graded and Uniform Meshes

  Mingrong Cui

  2019-04-22

  44084 2798 Pages:845-866

• An Interface-Unfitted Finite Element Method for Elliptic Interface Optimal Control Problems

  Chaochao Yang, Tao Wang & Xiaoping Xie

  2019-04-22

  44308 2706 Pages:727-749