An Extension of the Morley Element on General Polytopal Partitions Using Weak Galerkin Methods Dan LiChunmei WangJunping Wang OriginalPaper 10 June 2024 Article: 27
Developing and Analyzing Some Novel Finite Element Schemes for the Electromagnetic Rotation Cloak Model Yunqing HuangJichun LiBin He OriginalPaper 08 June 2024 Article: 26
Efficient and Exact Multimarginal Optimal Transport with Pairwise Costs Bohan ZhouMatthew Parno OriginalPaper 07 June 2024 Article: 25
High Order Asymptotic Preserving and Classical Semi-implicit RK Schemes for the Euler–Poisson System in the Quasineutral Limit K. R. ArunN. CrouseillesS. Samantaray OriginalPaper 06 June 2024 Article: 24
A Sinc Rule for the Hankel Transform Eleonora DenichPaolo Novati OriginalPaper Open access 04 June 2024 Article: 23
Arbitrary High Order ADER-DG Method with Local DG Predictor for Solutions of Initial Value Problems for Systems of First-Order Ordinary Differential Equations Ivan S. Popov OriginalPaper 04 June 2024 Article: 22
A Power Method for Computing the Dominant Eigenvalue of a Dual Quaternion Hermitian Matrix Chunfeng CuiLiqun Qi OriginalPaper Open access 04 June 2024 Article: 21
Continuous Exact Relaxation and Alternating Proximal Gradient Algorithm for Partial Sparse and Partial Group Sparse Optimization Problems Qingqing WuDingtao PengXian Zhang OriginalPaper 03 June 2024 Article: 20
Stability Analysis According to the Regularity of External Forces of a Semi-Implicit Difference Scheme for Time Fractional Navier–Stokes Equations HuiChol ChoeJongHyang RiSongGuk Jong OriginalPaper 03 June 2024 Article: 19
Conforming and Nonconforming Virtual Element Methods for Signorini Problems Yuping ZengLiuqiang ZhongShangyou Zhang OriginalPaper 03 June 2024 Article: 18
Gauss Newton Method for Solving Variational Problems of PDEs with Neural Network Discretizaitons Wenrui HaoQingguo HongXianlin Jin OriginalPaper 03 June 2024 Article: 17
hp-Multigrid Preconditioner for a Divergence-Conforming HDG Scheme for the Incompressible Flow Problems Guosheng FuWenzheng Kuang OriginalPaper Open access 03 June 2024 Article: 16
A Generalized Formulation for Group Selection via ADMM Chengyu KeSunyoung ShinMiju Ahn OriginalPaper Open access 31 May 2024 Article: 15
Novel Well-Balanced Continuous Interior Penalty Stabilizations Lorenzo MicalizziMario RicchiutoRémi Abgrall OriginalPaper 29 May 2024 Article: 14
General Procedure to Provide High-Probability Guarantees for Stochastic Saddle Point Problems Dongyang LiHaobin LiJunyu Zhang OriginalPaper 28 May 2024 Article: 13
An Unconditionally Energy Stable Method for the Anisotropic Phase-Field Crystal Model in Two Dimension Yingying XieQi LiLiquan Mei OriginalPaper 28 May 2024 Article: 12
An Adaptive Orthogonal Basis Method for Computing Multiple Solutions of Differential Equations with Polynomial Nonlinearities Lin LiYangyi YeHuiyuan Li OriginalPaper 27 May 2024 Article: 11
Subdivision Schemes Based on Weighted Local Polynomial Regression: A New Technique for the Convergence Analysis Sergio López-UreñaDionisio F. Yáñez OriginalPaper Open access 25 May 2024 Article: 10
A Stable High-Order Perturbation of Surfaces/Asymptotic Waveform Evaluation Method for the Numerical Solution of Grating Scattering Problems Matthew KehoeDavid P. Nicholls OriginalPaper 24 May 2024 Article: 9
Mesh-Dependent \(L^2\)-Like Norm a Posteriori Error Estimates for Elliptic Problems with Non-essential Boundary Conditions Konstantinos ChrysafinosEmmanuil H. GeorgoulisVassilis D. Papadopoulos OriginalPaper 21 May 2024 Article: 8
Coupled and Decoupled Stabilized Finite Element Methods for the Stokes–Darcy-Transport Problem Yongshuai WangFeng ShiHaibiao Zheng OriginalPaper 21 May 2024 Article: 7
Efficient WENO Schemes for Nonuniform Grids M. Carmen MartíPep MuletDavid Zorío OriginalPaper Open access 21 May 2024 Article: 6
A Unified \(L^2\) Norm Error Analysis of SAV-BDF Schemes for the Incompressible Navier–Stokes Equations Bingquan JiHong-lin Liao OriginalPaper 21 May 2024 Article: 5
A Divergence-Free Petrov–Galerkin Immersed Finite Element Method for Stokes Interface Problem Na ZhuHongxing Rui OriginalPaper 21 May 2024 Article: 4
Time Reparametrization and Event Location for Discontinuous Differential Algebraic Equations L. LopezS. Maset OriginalPaper Open access 21 May 2024 Article: 3
Numerical Analysis of the Plateau Problem by the Method of Fundamental Solutions Koya SakakibaraYuuki Shimizu OriginalPaper Open access 17 May 2024 Article: 2
Second Order Unconditionally Convergent Fully Discrete Scheme for Incompressible Vector Potential MHD System Qianqian DingXiaonian LongRuijie Xi OriginalPaper 17 May 2024 Article: 1
A Proximal Alternating Direction Method of Multipliers for DC Programming with Structured Constraints Yingxin ZhouHongjin HeLinan Zhang OriginalPaper 11 May 2024 Article: 89
An Isoparametric Finite Element Method for Time-fractional Parabolic Equation on 2D Curved Domain Zhixin LiuMinghui SongHui Liang OriginalPaper 11 May 2024 Article: 88
An \(\alpha \)-Robust and Second-Order Accurate Scheme for a Subdiffusion Equation Kassem MustaphaWilliam McLeanJosef Dick OriginalPaper Open access 09 May 2024 Article: 87
A Hybridizable Discontinuous Galerkin Method for Magnetic Advection–Diffusion Problems Jindong WangShuonan Wu OriginalPaper 09 May 2024 Article: 86
A High-Order Shifted Boundary Virtual Element Method for Poisson Equations on 2D Curved Domains Yongli HouYi LiuYanqiu Wang OriginalPaper 09 May 2024 Article: 85
Discrete-Velocity-Direction Models of BGK-Type with Minimum Entropy: II—Weighted Models Yihong ChenQian HuangWen-An Yong OriginalPaper 08 May 2024 Article: 84
A Local Approach to Parameter Space Reduction for Regression and Classification Tasks Francesco RomorMarco TezzeleGianluigi Rozza OriginalPaper Open access 07 May 2024 Article: 83
Global Convergence in Learning Fully-Connected ReLU Networks Via Un-rectifying Based on the Augmented Lagrangian Approach Shih-Shuo TungMing-Yu ChungWen-Liang Hwang OriginalPaper 07 May 2024 Article: 82
Analysis of a Parallel Grad-Div Stabilized Method for the Navier–Stokes Problem with Friction Boundary Conditions Bo ZhengHongtao RanYueqiang Shang OriginalPaper 07 May 2024 Article: 81
Analysis of a New NFV Scheme Preserving DMP for Two-Dimensional Sub-diffusion Equation on Distorted Meshes Xuehua YangZhimin Zhang OriginalPaper 06 May 2024 Article: 80
A Corrected Inexact Proximal Augmented Lagrangian Method with a Relative Error Criterion for a Class of Group-Quadratic Regularized Optimal Transport Problems Lei YangLing LiangKim-Chuan Toh OriginalPaper 04 May 2024 Article: 79
Nonstaggered Central Scheme Under Steady-State Discretization for Solving the Ripa Model Zhen LiDingFang Li OriginalPaper 04 May 2024 Article: 78
Multilevel Monte Carlo Methods for Stochastic Convection–Diffusion Eigenvalue Problems Tiangang CuiHans De SterckRobert Scheichl OriginalPaper Open access 03 May 2024 Article: 77
Analysis of a Narrow-Stencil Finite Difference Method for Approximating Viscosity Solutions of Fully Nonlinear Second Order Parabolic PDEs Xiang ZhongWeifeng Qiu OriginalPaper 02 May 2024 Article: 76
A Second-Order SO(3)-Preserving and Energy-Stable Scheme for Orthonormal Frame Gradient Flow Model of Biaxial Nematic Liquid Crystals Hanbin WangJie XuZhiguo Yang OriginalPaper 02 May 2024 Article: 75
On the Improved Conditions for Some Primal-Dual Algorithms Ming YanYao Li OriginalPaper 02 May 2024 Article: 74
Robust Scheme on 3D Hybrid Meshes with Non-conformity for Maxwell’s Equations in Time Domain Valentin RitzenthalerPierre CantinXavier Ferrieres OriginalPaper 30 April 2024 Article: 73
Optimal Switching Time Control Constrained by Immiscible Two-Phase Porous Media Flow Based on the Discontinuous Galerkin Method Decheng KongHongxing RuiWenju Zhao OriginalPaper 29 April 2024 Article: 72
High-Order Bound-Preserving Local Discontinuous Galerkin Methods for Incompressible and Immiscible Two-Phase Flows in Porous Media Xiuhui GuoHui GuoYang Yang OriginalPaper 29 April 2024 Article: 71
Fourth-Order Conservative Non-splitting Semi-Lagrangian Hermite WENO Schemes for Kinetic and Fluid Simulations Nanyi ZhengXiaofeng CaiJianxian Qiu OriginalPaper Open access 29 April 2024 Article: 70
Enhanced Low-Rank Tensor Recovery Fusing Reweighted Tensor Correlated Total Variation Regularization for Image Denoising Kai HuangWeichao KongJianjun Wang OriginalPaper 25 April 2024 Article: 69
Subspace Acceleration for a Sequence of Linear Systems and Application to Plasma Simulation Margherita GuidoDaniel KressnerPaolo Ricci OriginalPaper Open access 23 April 2024 Article: 68
High Order Absolutely Convergent Fast Sweeping Methods with Multi-resolution WENO Local Solvers for Eikonal and Factored Eikonal Equations Rentian HuYong-Tao Zhang OriginalPaper 23 April 2024 Article: 67