Search Results

• A Highly Efficient Adaptive Mesh Refinement Algorithm for the 1D Schrödinger-Poisson Problem

  Meili Guo, Haiyan Jiang, Tiao Lu, Wenqi Yao

  2025-10-22

  5696 385 Pages:881-902

• L1 Schemes for Time-Fractional Differential Equations: A Brief Survey and New Development

  Jingjing Xiao, Yanping Chen, Fanhai Zeng, Zhongqiang Zhang

  2025-05-16

  7755 714 Pages:544-574

• Conservative Three-Level Linearized Finite Difference Schemes for the Fisher Equation and Its Maximum Error Estimates

  Guang-Hua Gao, Biao Ge, Zhi-Zhong Sun

  2023-08-29

  29029 2651 Pages:634-667

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

  Cheng Dong, Tong Kang

  2021-01-26

  44840 2681 Pages:405-437

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

  Fengdai Kang, Zhen Zhang

  2020-03-09

  43010 2696 Pages:539-568

• Error Analysis of SAV Finite Element Method to Phase Field Crystal Model

  Liupeng Wang, Yunqing Huang, Kai Jiang

  2020-03-09

  45917 2921 Pages:372-399

• Highly Accurate Numerical Schemes for Stochastic Optimal Control via FBSDEs

  Yu Fu, Weidong Zhao, Tao Zhou

  2020-03-09

  48704 3084 Pages:296-319

• A Fourth Order Compact Scheme for Transport Equation with Discontinuous Coefficients

  Suruchi Singh, Kazufumi Ito, Swarn Singh, Zhilin Li

  2021-01-13

  42299 2863 Pages:782-794

• A Conservative Formulation and a Numerical Algorithm for the Double-Gyre Nonlinear Shallow-Water Model

  Dongyang Kuang, Long Lee

  2015-08-01

  38880 2733 Pages:634-650

• High Order Scheme for Schrödinger Equation with Discontinuous Potential I: Immersed Interface Method

  Hao Wu

  2011-04-01

  41489 3514 Pages:576-597

• Alternating Direction Finite Volume Element Methods for Three-Dimensional Parabolic Equations

  Tongke Wang

  2010-03-01

  41886 4216 Pages:499-522

• Machine Learning-Based Bias Correction for the GEIM Model

  Taidong Niu, Mingzhe Lyu, Helin Gong, Han Zhang, Zhang Chen, Zhiyong Wang

  2025-10-22

  5668 357 Pages:1066-1099

• A Novel Semi-Analytical Multiple Invariants-Preserving Integrator for Conservative PDEs

  Wei Shi, Bin Wang, Kai Liu

  2026-01-21

  129 201

• A Lagrangian Discontinuous Galerkin Scheme for the Compressible Euler Equations on Unstructured Triangular Meshes

  Xiaolong Zhao, Xijun Yu, Shicang Song, Shijun Zou, Fang Qing

  2024-12-11

  11731 1218 Pages:1074-1099

• A Novel Iterative Method to Find the Moore-Penrose Inverse of a Tensor with Einstein Product

  Raziyeh Erfanifar, Masoud Hajarian, Khosro Sayevand

  2024-02-26

  27543 2640 Pages:37-68

• Multidomain Hybrid Direct DG and Central Difference Methods for Viscous Terms in Hyperbolic-Parabolic Equations

  Weixiong Yuan, Tiegang Liu, Bin Zhang, Kui Cao, Kun Wang

  2024-02-26

  28646 2933 Pages:1-36

• A Physics-Informed Structure-Preserving Numerical Scheme for the Phase-Field Hydrodynamic Model of Ternary Fluid Flows

  Qi Hong, Yuezheng Gong, Jia Zhao

  2023-08-29

  35653 3016 Pages:565-596

• The Direct Method of Lines for Forward and Inverse Linear Elasticity Problems of Composite Materials in Star-Shaped Domains

  Xiaopeng Zhu, Zhizhang Wu, Zhongyi Huang

  2023-01-13

  33912 3175 Pages:242-276

• Application of Adapted-Bubbles to the Helmholtz Equation with Large Wavenumbers in 2D

  Adem Kaya

  2023-01-13

  34008 3295 Pages:26-57

• A Novel Class of Energy-Preserving Runge-Kutta Methods for the Korteweg-de Vries Equation

  Yue Chen, Yuezheng Gong, Qi Hong, Chunwu Wang

  2022-07-19

  39777 3042 Pages:768-792

• An Efficient Mapped WENO Scheme Using Approximate Constant Mapping

  Ruo Li, Wei Zhong

  2022-02-09

  45062 3797 Pages:1-41

• An Acceleration Technique for the Augmented IIM for 3D Elliptic Interface Problems

  Changjuan Zhang, Zhilin Li, Xingye Yue

  2021-06-02

  47259 2834 Pages:773-796

• A Two-Grid Algorithm of Fully Discrete Galerkin Finite Element Methods for a Nonlinear Hyperbolic Equation

  Kang Li, Zhijun Tan

  2020-12-02

  51334 2954 Pages:1050-1067

• Numerical Solution of Partial Differential Equations in Arbitrary Shaped Domains Using Cartesian Cut-Stencil Finite Difference Method. Part I: Concepts and Fundamentals

  M. Esmaeilzadeh, R.M. Barron, R. Balachandar

  2020-12-02

  53487 3134 Pages:881-907

• Multidomain Legendre-Galerkin Least-Squares Method for Linear Differential Equations with Variable Coefficients

  Yonghui Qin, Yanping Chen, Yunqing Huang, Heping Ma

  2020-03-16

  44077 2929 Pages:665-688

• Fast Evaluation of Linear Combinations of Caputo Fractional Derivatives and Its Applications to Multi-Term Time-Fractional Sub-Diffusion Equations

  Guanghua Gao, Qian Yang

  2020-03-09

  46041 2999 Pages:433-451

• 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

  42879 4273 Pages:220-252