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• A Novel Lagrange Multiplier Approach with Relaxation for Gradient Flows

  Zhengguang Liu, Xiaoli Li

  2024-02-26

  25291 2470 Pages:110-141

• Computation of Transmission Eigenvalues by the Regularized Schur Complement for the Boundary Integral Operators

  Yunyun Ma, Fuming Ma, Yukun Guo, Jingzhi Li

  2023-02-14

  33219 3188 Pages:306-324

• An Integrated Quadratic Reconstruction for Finite Volume Schemes to Scalar Conservation Laws in Multiple Dimensions

  Li Chen, Ruo Li, Feng Yang

  2020-09-25

  40087 3579 Pages:491-517

• Highly Efficient Gauss’s Law-Preserving Spectral Algorithms for Maxwell’s Double-Curl Source and Eigenvalue Problems Based on Eigen-Decomposition

  Sen Lin, Huiyuan Li, Zhiguo Yang

  2025-09-11

  4344 456 Pages:489-526

• High-Efficiency and Positivity-Preserving Stabilized SAV Methods for Gradient Flows

  Zhengguang Liu, Yanrong Zhang, Xiaoli Li

  2026-03-13

  70 57

• A Variational Discretization Method for Mean Curvature Flows by the Onsager Principle

  Yihe Liu, Xianmin Xu

  2025-02-11

  11481 1175 Pages:63-95

• A New Multiphysics Finite Element Method for a Biot Model with Secondary Consolidation

  Zhihao Ge, Wenlong He

  2024-08-02

  23933 1621 Pages:515-550

• A Family of Curl-Curl Conforming Finite Elements on Tetrahedral Meshes

  Qian Zhang, Zhimin Zhang

  2020-12-31

  41538 3865 Pages:639-663

• A Hue-Preserving Color Image Restoration Model Using Saturation-Value Total Variation

  Wei Wang, Yuming Yang

  2026-01-25

  1015 160 Pages:120-145

• A High Order Explicit Time Finite Element Method for the Acoustic Wave Equation with Discontinuous Coefficients

  Zhiming Chen, Yong Liu, Xueshuang Xiang

  2024-11-29

  14091 1245 Pages:735-787

• Failure-Informed Adaptive Sampling for PINNs, Part III: Applications to Inverse Problems

  Wenbin Liu, Liang Yan, Tao Zhou, Yuancheng Zhou

  2024-08-02

  23323 1747 Pages:636-670

• Total Variations for Hue, Saturation, and Value of a Color Image

  Wei Wang, Chengyun Yang

  2024-08-02

  21712 1628 Pages:551-589

• Asymptotic Expansion Regularization for Inverse Source Problems in Two-Dimensional Singularly Perturbed Nonlinear Parabolic PDEs

  Dmitrii Chaikovskii, Aleksei Liubavin, Ye Zhang

  2023-10-26

  27463 2521 Pages:721-757

• A Multi-Frequency Sampling Method for the Inverse Source Problems with Sparse Measurements

  Xiaodong Liu, Shixu Meng

  2023-10-26

  29629 2681 Pages:653-671

• Robust Convergence of Parareal Algorithms with Arbitrarily High-Order Fine Propagators

  Jiang Yang, Zhaoming Yuan, Zhi Zhou

  2023-04-25

  36170 3102 Pages:566-591

• Adaptive $H$(div)-Conforming Embedded-Hybridized Discontinuous Galerkin Finite Element Methods for the Stokes Problems

  Yihui Han, Haitao Leng

  2022-03-03

  39467 3933 Pages:82-108

• A Holomorphic Operator Function Approach for the Laplace Eigenvalue Problem Using Discontinuous Galerkin Method

  Yingxia Xi, Xia Ji

  2021-11-29

  38766 3364 Pages:776-792

• Enforcing Exact Boundary and Initial Conditions in the Deep Mixed Residual Method

  Liyao Lyu, Keke Wu, Rui Du, Jingrun Chen

  2021-11-29

  40876 3472 Pages:748-775

• Combined Second and Fourth-Order PDEs Model and Associated Variational Problems for Geometric Images Inpainting and Denoising

  Anis Theljani, Zakaria Belhachmi, Moez Kallel, Maher Moakher

  2021-11-29

  38685 3507 Pages:652-679

• Linear Constrained Rayleigh Quotient Optimization: Theory and Algorithms

  Yunshen Zhou, Zhaojun Bai, Ren-Cang Li

  2021-05-13

  44972 3645 Pages:195-262

• MFPC-Net: Multi-Fidelity Physics-Constrained Neural Process

  Yating Wang, Guang Lin

  2020-12-31

  39959 3706 Pages:715-739

• Convergence Analysis of Asymptotical Regularization and Runge-Kutta Integrators for Linear Inverse Problems under Variational Source Conditions

  Yubin Zhao, Peter Mathé, Shuai Lu

  2020-12-31

  40721 3792 Pages:693-714

• General Tikhonov Regularization with Applications in Geoscience

  Yanfei Wang, Alexander S. Leonov, Dmitry V. Lukyanenko, Anatoly G. Yagola

  2020-04-30

  62842 5263 Pages:53-85