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Structure Preserving Polytopal Discontinuous Galerkin Methods for the Numerical Modeling of Neurodegenerative Diseases Mattia CortiFrancesca BonizzoniPaola F. Antonietti OriginalPaper Open access 20 June 2024 Article: 39
A Hybrid SBP-SAT/Fourier Pseudo-spectral Method for the Transient Wigner Equation Involving Inflow Boundary Conditions Zhangpeng SunWenqi YaoQiuping Yu OriginalPaper 20 June 2024 Article: 38
Randomized Methods for Computing Optimal Transport Without Regularization and Their Convergence Analysis Yue XieZhongjian WangZhiwen Zhang OriginalPaper 20 June 2024 Article: 37
Second-Order Decoupled Linear Energy-Law Preserving gPAV Numerical Schemes for Two-Phase Flows in Superposed Free Flow and Porous Media Yali GaoDaozhi Han OriginalPaper 19 June 2024 Article: 36
A \(\theta \)-L Approach for the Simulation of Solid-State Dewetting Problems with Strongly Anisotropic Surface Energies Weijie HuangWei JiangYan Wang OriginalPaper 19 June 2024 Article: 35
On Approximate Matrix Factorization and TASE W-Methods for the Time Integration of Parabolic Partial Differential Equations Dajana ConteSeveriano González-PintoGiovanni Pagano OriginalPaper Open access 19 June 2024 Article: 34
Maximum-Norm Error Estimates of Fourth-Order Compact and ADI Compact Finite Difference Methods for Nonlinear Coupled Bacterial Systems Jie XuShusen XieHongfei Fu OriginalPaper 18 June 2024 Article: 33
A Compact Coupling Interface Method with Second-Order Gradient Approximation for Elliptic Interface Problems Ray Zirui ZhangLi-Tien Cheng OriginalPaper 18 June 2024 Article: 32
Fourth-Order Accurate Compact Scheme for First-Order Maxwell’s Equations I. VersanoE. TurkelS. Tsynkov OriginalPaper Open access 15 June 2024 Article: 31
A Staggered Scheme for the Compressible Euler Equations on General 3D Meshes Aubin BrunelRaphaèle HerbinJean-Claude Latché OriginalPaper 14 June 2024 Article: 30
Supervised Low-Rank Semi-nonnegative Matrix Factorization with Frequency Regularization for Forecasting Spatio-temporal Data Keunsu KimHanbaek LyuJae-Hun Jung OriginalPaper 14 June 2024 Article: 29
A \(\tau \)-Preconditioner for Space Fractional Diffusion Equation with Non-separable Variable Coefficients Xue-Lei LinMichael K. Ng OriginalPaper 11 June 2024 Article: 28
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