Search Results

• Splitting ADI Scheme for Fractional Laplacian Wave Equations

  Tao Sun, Hai-Wei Sun

  2024-08-30

  17616 1406 Pages:697-726

• 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

  28458 2771 Pages:1-36

• HRW: Hybrid Residual and Weak Form Loss for Solving Elliptic Interface Problems with Neural Network

  Muzhou Hou, Yinghao Chen, Shen Cao, Yuntian Chen, Jinyong Ying

  2023-11-07

  29770 2498 Pages:883-913

• An Efficient Cartesian Grid-Based Method for Scattering Problems with Inhomogeneous Media

  Haixia Dong, Wenjun Ying, Jiwei Zhang

  2023-04-10

  36171 2587 Pages:541-564

• An Algebraic Multigrid-Based Physical Factorization Preconditioner for the Multi-Group Radiation Diffusion Equations in Three Dimensions

  Xiaoqiang Yue, Zekai Zhang, Xiaowen Xu, Shuying Zhai, Shi Shu

  2023-04-10

  36758 2719 Pages:410-432

• Linearized Transformed $L1$ Galerkin FEMs with Unconditional Convergence for Nonlinear Time Fractional Schrödinger Equations

  Wanqiu Yuan, Dongfang Li, Chengjian Zhang

  2023-04-10

  39346 2938 Pages:348-369

• Galerkin Finite Element Approximation for Semilinear Stochastic Time-Tempered Fractional Wave Equations with Multiplicative Gaussian Noise and Additive Fractional Gaussian Noise

  Yajing Li, Yejuan Wang, Weihua Deng, Daxin Nie

  2023-01-21

  36078 2886 Pages:1063-1098

• Efficient Hermite Spectral-Galerkin Methods for Nonlocal Diffusion Equations in Unbounded Domains

  Huiyuan Li, Ruiqing Liu, Li-Lian Wang

  2023-01-21

  37016 2939 Pages:1009-1040

• Stability of Spike Solutions to the Fractional Gierer-Meinhardt System in a One-Dimensional Domain

  Daniel Gomez, Jun-Cheng Wei, Wen Yang

  2023-01-21

  36900 2970 Pages:938-989

• 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

  42200 3147 Pages:679-714

• Dual Control Methods for a Mixed Control Problem with Optimal Stopping Arising in Optimal Consumption and Investment

  Jingtang Ma, Jie Xing, Shan Yang

  2022-07-19

  39706 2969 Pages:641-661

• Numerical Solution of a One-Dimensional Nonlocal Helmholtz Equation by Perfectly Matched Layers

  Yu Du, Jiwei Zhang

  2022-03-23

  45431 2923 Pages:387-414

• The Immersed Interface Hybridized Difference Method for Parabolic Interface Problems

  Youngmok Jeon, Son-Young Yi

  2022-03-23

  44537 2798 Pages:336-359

• Fast Second-Order Evaluation for Variable-Order Caputo Fractional Derivative with Applications to Fractional Sub-Diffusion Equations

  Jia-Li Zhang, Zhi-Wei Fang, Hai-Wei Sun

  2022-02-09

  44329 3474 Pages:200-226

• On a Parabolic Sine-Gordon Model

  Xinyu Cheng, Dong Li, Chaoyu Quan, Wen Yang

  2021-09-10

  47936 2656 Pages:1068-1084

• A Hybrid WENO Method with Modified Ghost Fluid Method for Compressible Two-Medium Flow Problems

  Zhuang Zhao, Yibing Chen, Jianxian Qiu

  2021-09-10

  47223 2674 Pages:972-997

• A Note on Parallel Preconditioning for the All-at-Once Solution of Riesz Fractional Diffusion Equations

  Xian-Ming Gu, Yong-Liang Zhao, Xi-Le Zhao, Bruno Carpentieri, Yu-Yun Huang

  2021-09-10

  49087 2726 Pages:893-919

• Explicit Hybrid Numerical Method for the Allen-Cahn Type Equations on Curved Surfaces

  Yongho Choi, Yibao Li, Chaeyoung Lee, Hyundong Kim, Junseok Kim

  2021-06-02

  47230 2736 Pages:797-810

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

  Changjuan Zhang, Zhilin Li, Xingye Yue

  2021-06-02

  47057 2775 Pages:773-796

• Generating Layer-Adapted Meshes Using Mesh Partial Differential Equations

  Róisín Hill, Niall Madden

  2021-06-02

  61053 3217 Pages:559-588

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

  Jingrun Chen, Rui Du, Panchi Li, Liyao Lyu

  2021-01-26

  46270 2717 Pages:377-404

• Discrete Approximation Scheme in Distributionally Robust Optimization

  Yongchao Liu, Xiaoming Yuan, Jin Zhang

  2021-01-26

  57990 2923 Pages:285-320

• On the Evolutionary Dynamics of the Cahn-Hilliard Equation with Cut-Off Mass Source

  Chaeyoung Lee, Hyundong Kim, Sungha Yoon, Jintae Park, Sangkwon Kim, Junxiang Yang, Junseok Kim

  2020-10-09

  47142 3608 Pages:242-260

• Numerical Study of Switching Behavior in Finite Media Subject to 3D Ferroelectric-Paraelectric Interactions and Inspection of Calibration Effects

  P.-W. Martelli, S.M. Mefire

  2020-10-09

  46243 4077 Pages:113-143

• One-Step Hybrid Block Method Containing Third Derivatives and Improving Strategies for Solving Bratu's and Troesch's Problems

  Mufutau Ajani Rufai, Higinio Ramos

  2020-12-02

  50195 2880 Pages:946-972

• A QMC-Deep Learning Method for Diffusivity Estimation in Random Domains

  Liyao Lyu, Zhiwen Zhang, Jingrun Chen

  2020-12-02

  52697 2934 Pages:908-927

• 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

  53281 3049 Pages:881-907