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• Error Analysis of the Mixed Residual Method for Elliptic Equations

  Kai Gu, Peng Fang, Zhiwei Sun, Rui Du

  2024-05-11

  20920 1671 Pages:534-554

• 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

  27271 2445 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

  28458 2771 Pages:1-36

• ODE-Based Multistep Schemes for Backward Stochastic Differential Equations

  Shuixin Fang, Weidong Zhao

  2023-11-07

  28237 2375 Pages:1053-1086

• Novel High-Order Mass- and Energy-Conservative Runge-Kutta Integrators for the Regularized Logarithmic Schrödinger Equation

  Xu Qian, Hong Zhang, Jingye Yan, Songhe Song

  2023-11-07

  27969 2339 Pages:993-1012

• Space-Time Decomposition of Kalman Filter

  Luisa D’Amore, Rosalba Cacciapuoti

  2023-11-07

  28047 2706 Pages:847-882

• 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

  35416 2951 Pages:565-596

• Mixed Finite Element Methods for the Ferrofluid Model with Magnetization Paralleled to the Magnetic Field

  Yongke Wu, Xiaoping Xie

  2023-04-10

  37248 2630 Pages:489-510

• New Rational Interpolation Basis Functions on the Unbounded Intervals and Their Applications

  Dong-Qin Gu, Zhong-Qing Wang, Chao Zhang

  2023-04-10

  37378 2832 Pages:453-488

• Absorbing Interface Conditions for the Simulation of Wave Propagation on Non-Uniform Meshes

  Changshi Li, Yuhui Liu, Fengru Wang, Jerry Zhijian Yang, Cheng Yuan

  2023-04-10

  37185 2665 Pages:433-452

• An Adaptive Physics-Informed Neural Network with Two-Stage Learning Strategy to Solve Partial Differential Equations

  Shuyan Shi, Ding Liu, Ruirui Ji, Yuchao Han

  2023-04-10

  39947 3094 Pages:298-322

• 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

  33711 3031 Pages:242-276

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

  Adem Kaya

  2023-01-13

  33776 3130 Pages:26-57

• L1/Local Discontinuous Galerkin Method for the Time-Fractional Stokes Equation

  Changpin Li, Zhen Wang

  2023-01-21

  37742 2939 Pages:1099-1127

• Analysis of Anisotropic Nonlocal Diffusion Models: Well-Posedness of Fractional Problems for Anomalous Transport

  Marta D’Elia, Mamikon Gulian

  2023-01-21

  46482 3231 Pages:851-875

• 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

  39533 2983 Pages:768-792

• Spectral Analysis for Preconditioning of Multi-Dimensional Riesz Fractional Diffusion Equations

  Xin Huang, Xue-Lei Lin, Michael K. Ng, Hai-Wei Sun

  2022-07-19

  42008 3178 Pages:565-591

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

  Guanrong Li, Yanping Chen, Yunqing Huang

  2022-02-09

  44967 3871 Pages:68-90

• An Efficient Mapped WENO Scheme Using Approximate Constant Mapping

  Ruo Li, Wei Zhong

  2022-02-09

  44846 3664 Pages:1-41

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

  Ruo Li, Fanyi Yang

  2021-09-10

  46198 2539 Pages:1042-1067

• 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

• A Linearized Spectral-Galerkin Method for Three-Dimensional Riesz-Like Space Fractional Nonlinear Coupled Reaction-Diffusion Equations

  Shimin Guo, Wenjing Yan, Liquan Mei, Ying Wang, Lingling Wang

  2021-06-02

  47662 2841 Pages:738-772

• A New Exponential Compact Scheme for the Two-Dimensional Unsteady Nonlinear Burgers' and Navier-Stokes Equations in Polar Cylindrical Coordinates

  R.K. Mohanty, Li Yuan, Divya Sharma

  2021-01-26

  45196 2614 Pages:488-507

• Convergence and Stability of the Truncated Euler-Maruyama Method for Stochastic Differential Equations with Piecewise Continuous Arguments

  Yidan Geng, Minghui Song, Yulan Lu, Mingzhu Liu

  2020-10-09

  48037 3690 Pages:194-218

• A New Ensemble HDG Method for Parameterized Convection Diffusion PDEs

  Yong Yu, Gang Chen, Liangya Pi, Yangwen Zhang

  2020-10-09

  48394 3555 Pages:144-175

• On Poincaré-Friedrichs Type Inequalities for the Broken Sobolev Space ${\rm W}^{2,1}$

  R. H. W. Hoppe

  2020-10-09

  47450 3659 Pages:31-46

• Mean-Square Approximation of Navier-Stokes Equations with Additive Noise in Vorticity-Velocity Formulation

  G.N. Milstein, M.V. Tretyakov

  2020-10-09

  48799 3834 Pages:1-30