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• Achieving Adversarial Robustness Requires an Active Teacher

  Chao Ma, Lexing Ying

  2021-11-19

  40716 3607 Pages:880-896

• Invariant Region Preserving Reconstruction and Enhanced Stability of the Central Scheme in Two Dimensions

  Ruifang Yan, Wei Tong, Guoxian Chen

  2025-04-14

  109 25

• A Posteriori Energy-Norm Error Estimates for Advection-Diffusion Equations Approximated by Weighted Interior Penalty Methods

  Alexandre Ern & Annette F. Stephansen

  2018-08-07

  31423 3387 Pages:488-510

• A Posteriori Error Estimates for Finite Element Approximations of the Cahn-Hilliard Equation and the Hele-Shaw Flow

  Xiaobing Feng & Haijun Wu

  2021-07-01

  32790 3942 Pages:767-796

• A Non-Oscillatory Kinetic Scheme for Multi-Component Flows with the Equation of State for a Stiffened Gas

  Yibing Chen & Song Jiang

  2021-07-01

  34815 3665 Pages:661-683

• Optimal and Pressure-Independent $L^2$ Velocity Error Estimates for a Modified Crouzeix-Raviart Stokes Element with BDM Reconstructions

  C. Brennecke, A. Linke, C. Merdon, J. Schöberl

  2018-08-22

  41851 3112 Pages:191-208

• Robust Globally Divergence-Free Weak Galerkin Methods for Stokes Equations

  Gang Chen, Minfu Feng, Xiaoping Xie

  2018-08-22

  36499 2846 Pages:549-572

• Iterative $ℓ_1$ Minimization for Non-Convex Compressed Sensing

  Penghang Yin, Jack Xin

  2019-02-12

  39557 4553 Pages:439-451 Open-access

• Exponential Fourier Collocation Methods for Solving First-Order Differential Equations

  Bin Wang, Xinyuan Wu, Fanwei Meng, Yonglei Fang

  2021-07-01

  41005 3738 Pages:711-736

• An Adaptive Finite Element Method for the Wave Scattering by a Periodic Chiral Structure

  Zhoufeng Wang, Peiqi Huang

  2021-07-01

  43217 4139 Pages:845-865

• A Robust Interior Point Method for Computing the Analytic Center of an Ill-Conditioned Polytope with Errors

  Zhouhong Wang, Yuhong Dai, Fengmin Xu

  2021-07-01

  41366 4253 Pages:843-865

• A Robust Discretization of the Reissner-Mindlin Plate with Arbitrary Polynomial Degree

  Dietmar Gallistl, Mira Schedensack

  2020-02-06

  71535 5955 Pages:1-13

• Two-Stage Fourth-Order Accurate Time Discretizations for 1D and 2D Special Relativistic Hydrodynamics

  Huazhong Tang, Yuhuan Yuan

  2020-11-09

  43666 2965 Pages:768-796

• Robustness of an Upwind Finite Difference Scheme for Semilinear Convection-Diffusion Problems with Boundary Turning Points

  Torsten Linß

  2003-08-02

  33233 3592 Pages:401-410

• A Stochastic Trust-Region Framework for Policy Optimization

  Mingming Zhao, Yongfeng Li, Zaiwen Wen

  2022-11-08

  301080 3496 Pages:1004-1030

• The a Posteriori Error Estimator of SDG Method for Variable Coefficients Time-Harmonic Maxwell's Equations

  Wei Yang, Xin Liu, Bin He, Yunqing Huang

  2022-11-15

  301764 3093 Pages:263-286

• Discrete Energy Analysis of the Third-Order Variable-Step BDF Time-Stepping for Diffusion Equations

  Hong-lin Liao, Tao Tang, Tao Zhou

  2022-11-15

  295539 2877 Pages:325-344

• Semi-Implicit Spectral Deferred Correction Methods Based on Second-Order Time Integration Schemes for Nonlinear PDEs

  Ruihan Guo, Yan Xu

  2023-12-01

  31302 2846 Pages:111-133

• Banded $M$-Matrix Splitting Preconditioner for Riesz Space Fractional Reaction-Dispersion Equation

  Shiping Tang, Aili Yang, Yujiang Wu

  2024-01-16

  26239 2065 Pages:372-389

• Adaptive Virtual Element Method for Convection Dominated Diffusion Equations

  Qiming Wang, Zhaojie Zhou

  2024-11-18

  10917 1210 Pages:174-202

• Exponential Time Differencing-Padé Finite Element Method for Nonlinear Convection-Diffusion-Reaction Equations with Time Constant Delay

  Haishen Dai, Qiumei Huang, Cheng Wang

  2023-04-25

  31260 2802 Pages:370-394

• Stochastic Variational Inequality Approaches to the Stochastic Generalized Nash Equilibrium with Shared Constraints

  Yanfang Zhang

  2023-04-25

  31355 2794 Pages:415-436

• A Deep Learning Based Discontinuous Galerkin Method for Hyperbolic Equations with Discontinuous Solutions and Random Uncertainties

  Jingrun Chen, Shi Jin, Liyao Lyu

  2023-11-08

  29453 2555 Pages:1281-1304

• An Oscillation-Free Discontinuous Galerkin Method for a Nonlinear Stochastic Convection-Dominated Diffusion Problem and Its Error Analysis

  Yaping Li, Weidong Zhao, Wenju Zhao

  2025-09-28

  4325 327 Pages:1264-1289

• A Cell-Centered ALE Method with HLLC-2D Riemann Solver in 2D Cylindrical Geometry

  Jian Ren, Zhijun Shen, Wei Yan, Guangwei Yuan

  2021-10-15

  41272 3020 Pages:666-692