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• Discrete Approximation Scheme in Distributionally Robust Optimization

  Yongchao Liu, Xiaoming Yuan, Jin Zhang

  2021-01-26

  58075 2948 Pages:285-320

• Simultaneous Approximation of Sobolev Classes by Piecewise Cubic Hermite Interpolation

  Guiqiao Xu & Zheng Zhang

  2014-07-01

  40262 3773 Pages:317-333

• A Gradient Recovery Technique for Enhancing the Convergence of Demagnetizing Field Based on PDE Approach

  Jing Wu, Zixuan Cui, Lei Yang, Guanghui Hu

  2025-11-10

  236 64 Pages:80-105

• 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

  36178 2927 Pages:1063-1098

• The Simultaneous Approximation Average Errors for Bernstein Operators on the $r$-Fold Integrated Wiener Space

  Guiqiao Xu

  2012-05-01

  39342 3486 Pages:403-422

• A Stochastic Approximation Frame Algorithm with Adaptive Directions

  Zi Xu & Yu-Hong Dai

  2008-01-01

  38475 3707 Pages:460-474

• Sparse Deep Neural Network for Nonlinear Partial Differential Equations

  Yuesheng Xu, Taishan Zeng

  2023-01-13

  34437 3135 Pages:58-78

• Approximation of the Spectral Fractional Powers of the Laplace-Beltrami Operator

  Andrea Bonito, Wenyu Lei

  2023-01-21

  46409 3329 Pages:1193-1218

• 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

  44434 3550 Pages:200-226

• Superconvergent Cluster Recovery Method for the Crouzeix-Raviart Element

  Yidan Zhang, Yaoyao Chen, Yunqing Huang, Nianyu Yi

  2021-01-26

  45262 2623 Pages:508-526

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

  G.N. Milstein, M.V. Tretyakov

  2020-10-09

  48918 3878 Pages:1-30

• A Weak Galerkin Finite Element Method for Elliptic Interface Problems with Polynomial Reduction

  Bhupen Deka

  2018-09-17

  40295 2736 Pages:655-672

• Analysis of the Closure Approximation for a Class of Stochastic Differential Equations

  Yunfeng Cai, Tiejun Li, Jiushu Shao & Zhiming Wang

  2020-11-03

  39060 2611 Pages:299-330

• Finite Element Approximation of Semilinear Parabolic Optimal Control Problems

  Hongfei Fu & Hongxing Rui

  2011-04-01

  41691 3763 Pages:489-504

• Preservation of Linear Constraints in Approximation of Tensors

  Eugene Tyrtyshnikov

  2009-02-01

  40334 4374 Pages:421-426

• The Jackson Inequality for the Best $L^2$-Approximation of Functions on [0,1] with the Weight $x$

  Jian Li & Yongping Liu

  2008-01-01

  38656 3850 Pages:340-356

• Some Remarks on the Convex Feasibility Problem and Best Approximation Problem

  Qingzhi Yang & Jinling Zhao

  2018-08-14

  38078 3744 Pages:78-91

• A Fast Fully Discrete Mixed Finite Element Scheme for Fractional Viscoelastic Models of Wave Propagation

  Hao Yuan, Xiaoping Xie

  2025-12-17

  173 57 Pages:129-154

• Error Analysis of the Deep Mixed Residual Method for High-Order Elliptic Equations

  Mengjia Bai, Jingrun Chen, Rui Du, Zhiwei Sun

  2025-05-16

  7410 544 Pages:395-436

• R-Adaptive DeepONet: Learning Solution Operators for PDEs with Discontinuous Solutions Using an R-Adaptive Strategy

  Yameng Zhu, Jingrun Chen, Weibing Deng

  2025-04-06

  6956 644 Pages:31-65

• Error Analysis for Empirical Risk Minimization over Clipped ReLU Networks in Solving Linear Kolmogorov Partial Differential Equations

  Jichang Xiao, Xiaoqun Wang

  2024-12-11

  11943 1346 Pages:996-1017

• 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

  33794 3112 Pages:242-276

• Semi-Discrete and Fully Discrete Weak Galerkin Finite Element Methods for a Quasistatic Maxwell Viscoelastic Model

  Jihong Xiao, Zimo Zhu, Xiaoping Xie

  2023-01-13

  33498 3186 Pages:79-110

• The Discontinuous Galerkin Method by Divergence-Free Patch Reconstruction for Stokes Eigenvalue Problems

  Di Li, Zhiyuan Sun, Fengru Wang, Jerry Zhijian Yang

  2022-03-23

  45350 2884 Pages:484-509

• Nonlinear Level Set Learning for Function Approximation on Sparse Data with Applications to Parametric Differential Equations

  Anthony Gruber, Max Gunzburger, Lili Ju, Yuankai Teng, Zhu Wang

  2021-09-10

  59840 3065 Pages:839-861

• A Novel Numerical Approach to Time-Fractional Parabolic Equations with Nonsmooth Solutions

  Dongfang Li, Weiwei Sun, Chengda Wu

  2021-01-26

  48410 2832 Pages:355-376

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

  R. H. W. Hoppe

  2020-10-09

  47548 3716 Pages:31-46