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• A Multiple Scalar Auxiliary Variables Approach to the Energy Stable Scheme of the Moving Contact Line Problem

  Fengdai Kang, Zhen Zhang

  2020-03-09

  42902 2655 Pages:539-568

• A Vertex-Centered and Positivity-Preserving Finite Volume Scheme for Two-Dimensional Three-Temperature Radiation Diffusion Equations on General Polygonal Meshes

  Shuai Su, Jiming Wu

  2020-03-06

  42749 4184 Pages:220-252

• A Linearized Second-Order Difference Scheme for the Nonlinear Time-Fractional Fourth-Order Reaction-Diffusion Equation

  Hong Sun, Zhi-zhong Sun, Rui Du

  2019-10-12

  48712 2707 Pages:1168-1190

• Numerical Approximation to a Stochastic Parabolic PDE with Weak Galerkin Method

  Hongze Zhu, Yongkui Zou, Shimin Chai & Chenguang Zhou

  2018-09-17

  41723 2742 Pages:604-617

• 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

• 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

• 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

• 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

• A Two-Grid Algorithm of Fully Discrete Galerkin Finite Element Methods for a Nonlinear Hyperbolic Equation

  Kang Li, Zhijun Tan

  2020-12-02

  51212 2933 Pages:1050-1067

• Finite Element Approximation of Space Fractional Optimal Control Problem with Integral State Constraint

  Zhaojie Zhou, Jiabin Song, Yanping Chen

  2020-12-02

  48013 2932 Pages:1027-1049

• An Adaptive Hybrid Spectral Method for Stochastic Helmholtz Problems

  Guanjie Wang, Qifeng Liao

  2020-12-02

  50703 3015 Pages:1007-1026

• Fast Evaluation of Linear Combinations of Caputo Fractional Derivatives and Its Applications to Multi-Term Time-Fractional Sub-Diffusion Equations

  Guanghua Gao, Qian Yang

  2020-03-09

  45909 2942 Pages:433-451

• Best Rank-One Approximation of Fourth-Order Partially Symmetric Tensors by Neural Network

  Xuezhong Wang, Maolin Che & Yimin Wei

  2021-01-13

  43405 2990 Pages:673-700

• Superconvergence of the Finite Volume Method for Stokes Problems

  Tie Zhang & Yongchao Tang

  2018-09-17

  40381 2793 Pages:398-412

• Spectral Method Approximation of Flow Optimal Control Problems with $H^1$-Norm State Constraint

  Yanping Chen & Fenglin Huang

  2017-10-01

  38382 2685 Pages:614-638

• A Priori Error Estimate of Splitting Positive Definite Mixed Finite Element Method for Parabolic Optimal Control Problems

  Hongfei Fu, Hongxing Rui, Jiansong Zhang & Hui Guo

  2016-09-01

  39326 2728 Pages:215-238

• Efficient Convex Optimization Approaches to Variational Image Fusion

  Jing Yuan, Brandon Miles, Greg Garvin, Xue-Cheng Tai & Aaron Fenster

  2014-07-01

  40018 3556 Pages:234-250

• Recovery Type a Posteriori Error Estimates of Fully Discrete Finite Element Methods for General Convex Parabolic Optimal Control Problems

  Yuelong Tang & Yanping Chen

  2012-05-01

  42125 3794 Pages:573-591

• Superlinear Convergence of a Smooth Approximation Method for Mathematical Programs with Nonlinear Complementarity Constraints

  Fujian Duan & Lin Fan

  2010-03-01

  40083 3638 Pages:367-386

• The State Equations Methods for Stochastic Control Problems

  Lijin Wang & Fengshan Bai

  2018-08-14

  38878 3786 Pages:79-96

• High-Order Leap-Frog Based Discontinuous Galerkin Method for the Time-Domain Maxwell Equations on Non-Conforming Simplicial Meshes

  Hassan Fahs

  2009-02-01

  40794 3591 Pages:275-300

• Meshfree First-Order System Least Squares

  Hugh R. MacMillan, Max D. Gunzburger & John V. Burkardt

  2018-08-14

  38243 3848 Pages:29-43

• Numerical Analysis of a Second Order Crank-Nicolson Mixed Finite Element Method for the Swift-Hohenberg Equation

  Hongling Li, Manting Xie, Meiling Yue

  2025-10-22

  5400 306 Pages:947-971

• Robust Globally Divergence-Free Weak Galerkin Methods for Stationary Incompressible Convective Brinkman-Forchheimer Equations

  Xiaojuan Wang, Xiaoping Xie

  2024-12-11

  11877 1310 Pages:956-995

• A Stabilizer Free Weak Galerkin Finite Element Method for Elliptic Equation with Lower Regularity

  Yiying Wang, Yongkui Zou, Xuan Liu, Chenguang Zhou

  2024-05-11

  21109 1741 Pages:514-533

• On Lagrange-Projection Schemes for Shallow Water Flows over Movable Bottom with Suspended and Bedload Transport

  Alessia Del Grosso, Manuel J. Castro Díaz, Christophe Chalons, Tomás Morales de Luna

  2023-11-07

  33571 2677 Pages:1087-1126

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

  Guanrong Li, Yanping Chen, Yunqing Huang

  2022-02-09

  45046 3911 Pages:68-90