Search Results

• Energy-Stable Full Discretization of the Modified Elastic Flow of Closed Curves

  Cuiling Ma, Xufeng Xiao, Xinlong Feng

  2025-12-08

  188 16 Pages:527-551

• Local Structure Preserving Algorithms for Molecular Beam Epitaxial Models with Slope Selection Based on Energy Quadratization Method

  Lin Lu, Yongzhong Song, Yushun Wang

  2025-06-18

  7001 535 Pages:817-834

• An Unconditionally Energy Stable Immersed Boundary Method with Application to Vesicle Dynamics

  Wei-Fan Hu & Ming-Chih Lai

  2018-02-09

  36437 4054 Pages:247-262

• Energy-Based Adaptive Deep Unfitted Nitsche Method for Elliptic Interface Problems

  Qimu Luo, Ren Zhao

  2026-01-26

  189 63 Pages:573-599

• Arbitrary High-Order Structure-Preserving Schemes for Generalized Rosenau-Type Equations

  Chaolong Jiang, Xu Qian, Songhe Song, Chenxuan Zheng

  2023-10-23

  26756 2459 Pages:935-959

• Unconditional Energy Stable Runge-Kutta Schemes for a Phase Field Model for Diblock Copolymers

  Lizhen Chen, Bo Ren

  2025-01-03

  17113 1334 Pages:53-79

• A Fully Decoupled Linear Second-Order Energy Stable Numerical Scheme for the Moving Contact Line Problem

  Min Gao, Yi Shi

  2025-11-14

  7480 135 Pages:365-387

• A Pre-Training Deep Learning Method for Simulating the Large Bending Deformation of Bilayer Plates

  Xiang Li, Yulei Liao, Pingbing Ming

  2024-06-13

  27297 2149 Pages:551-578

• The Numerical Study of the Ground States of Spin-1 Bose-Einstein Condensates with Spin-Orbit-Coupling

  Yongjun Yuan, Zhiguo Xu, Qinglin Tang & Hanquan Wang

  2018-09-17

  46566 3335 Pages:598-610

• High-Order Operator-Compensation Schemes with Mass and Energy Conservation for the Multi-Dimensional Zakharov System

  Yanjing Li, Xianggui Li, Dongying Hua, Yongyong Cai

  2025-10-14

  4462 96 Pages:105-128

• An Energy Stable TFPM-Based Petrov-Galerkin Scheme for Solving the Allen-Cahn Equation

  Yueran Wang, Wenli Yang, Zhongyi Huang

  2025-11-14

  7457 129 Pages:427-456

• Errors of an Implicit Variable-Step BDF2 Method for a Molecular Beam Epitaxial Model with Slope Selection

  Xuan Zhao, Haifeng Zhang, Hong Sun

  2023-10-23

  27553 2465 Pages:886-913

• A Jacobi-Galerkin Spectral Method for Computing the Ground and First Excited States of Nonlinear Fractional Schrödinger Equation

  Ying Ma, Lizhen Chen

  2020-04-01

  42108 3134 Pages:274-294

• An Adaptive Time Stepping Method for Transient Dynamic Response Analysis

  Jianguo Huang & Huashan Sheng

  2018-02-09

  36935 3135 Pages:152-170

• An Implicit Staggered Hybrid Finite Volume/Finite Element Solver for the Incompressible Navier-Stokes Equations

  Alessia Lucca, Saray Busto, Michael Dumbser

  2023-06-12

  35847 2690 Pages:671-716

• A Linearized Structure-Preserving Numerical Scheme for a Gradient Flow Model of the Kohn-Sham Density Functional Theory

  Guanghui Hu, Ting Wang, Jie Zhou

  2023-04-25

  31532 3607 Pages:299-319 Open-access

• A Relaxed Decoupled Second-Order Energy-Stable Scheme for the Binary Phase-Field Crystal Model

  Xin Zhang, Junxiang Yang, Zhijun Tan

  2025-01-07

  12588 1203 Pages:344-372

• Energy Stable Linear Schemes for Mass-Conserved Gradient Flows with Peng-Robinson Equation of State

  Qiujin Peng, Hongwei Li & Zuoliang Xu

  2019-01-07

  39049 4771 Pages:212-232

• Conservative Numerical Schemes for the Nonlinear Fractional Schrödinger Equation

  Longbin Wu, Qiang Ma, Xiaohua Ding

  2021-05-26

  45541 3138 Pages:560-579

• A Partially Penalised Immersed Finite Element Method for Elliptic Interface Problems with Non-Homogeneous Jump Conditions

  Haifeng Ji, Qian Zhang, Qiuliang Wang & Yifan Xie

  2018-09-17

  41082 4904 Pages:1-23

• Neural Network Method for Integral Fractional Laplace Equations

  Zhaopeng Hao, Moongyu Park, Zhiqiang Cai

  2023-01-04

  40795 4113 Pages:95-118

• Convex Splitting Method for Strongly Anisotropic Solid-State Dewetting Problems in Two Dimensions

  Miaoyu Dai, Zhongyi Huang, Wei Zhu

  2022-08-17

  302930 3675 Pages:791-820

• Energy Stable Splitting Schemes for Maxwell’s Equations in Lorentz Media

  Puttha Sakkaplangkul

  2025-05-19

  8049 117 Pages:45-71

• An Energy Stable Second-Order Accurate Scheme for Microphase Separation of Periodic Diblock Copolymers

  Junxiang Yang, Junseok Kim

  2021-02-23

  43987 509324 Pages:234-254

• An Efficient Numerical Method for Mean Curvature-Based Image Registration Model

  Jin Zhang, Ke Chen, Fang Chen & Bo Yu

  2018-03-19

  37443 4775 Pages:125-142

• A Posteriori Error Estimates of a Weakly Over-Penalized Symmetric Interior Penalty Method for Elliptic Eigenvalue Problems

  Yuping Zeng, Jinru Chen & Feng Wang

  2018-02-09

  37033 3356 Pages:327-341

• Heterogeneous Optimized Schwarz Methods for Heat Conduction in Composites with Thermal Contact Resistance

  Huan Zhang, Hui Zhang, Yan Wang, Yingxiang Xu

  2026-02-03

  109 39 Pages:632-661