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On Multi-step Partially Randomized Extended Kaczmarz Method for Solving Large Sparse Inconsistent Linear Systems Jin-Feng MaoFang Chen Original Paper 20 May 2024
Superconvergence of UWLDG Method for One-Dimensional Linear Sixth-Order Equations Mengfei WangYan Xu Original Paper 14 May 2024
Meshfree Finite Difference Solution of Homogeneous Dirichlet Problems of the Fractional Laplacian Jinye ShenBowen ShiWeizhang Huang Original Paper 12 May 2024
A Multiscale Method for Two-Component, Two-Phase Flow with a Neural Network Surrogate Jim MagieraChristian Rohde Original Paper Open access 07 May 2024
Convergence Analysis of the Projected SOR Iteration Method for Horizontal Linear Complementarity Problems Qin-Qin ShenGeng-Chen YangChen-Can Zhou Original Paper 07 May 2024
Efficient Alternative Finite Difference WENO Schemes for Hyperbolic Conservation Laws Dinshaw S. BalsaraDeepak BhoriyaHarish Kumar Original Paper 06 May 2024
Error Estimates of Finite Element Method for the Incompressible Ferrohydrodynamics Equations Shipeng MaoJiaao Sun Original Paper 06 May 2024
The High-Order Variable-Coefficient Explicit-Implicit-Null Method for Diffusion and Dispersion Equations Meiqi TanJuan ChengChi-Wang Shu Original Paper 06 May 2024
A Non-parametric Gradient-Based Shape Optimization Approach for Solving Inverse Problems in Directed Self-Assembly of Block Copolymers Daniil BochkovFrederic Gibou Original Paper 02 May 2024
Numerical Solutions for Space Fractional Schrödinger Equation Through Semiclassical Approximation Yijin GaoPaul SacksSongting Luo Original Paper 29 April 2024
Lax-Oleinik-Type Formulas and Efficient Algorithms for Certain High-Dimensional Optimal Control Problems Paula ChenJérôme DarbonTingwei Meng Original Paper 29 April 2024
A Domain Decomposition Method for Nonconforming Finite Element Approximations of Eigenvalue Problems Qigang LiangWei WangXuejun Xu Original Paper 25 April 2024
Immunity-Based Orthogonal Weights Modification Algorithm Xiaotao LiangShuo YinXuYing Zhao Original Paper 25 April 2024
A New Iterative Method to Find Polar Decomposition Salman SheikhiHamid Esmaeili Original Paper 12 April 2024
Global Dynamics of a Predator-Prey Model with a General Growth Rate Function and Carrying Capacity Miqin ChenWensheng Yang Original Paper 12 April 2024
An Improved Iterative Algorithm for Identifying Strong \({\mathcal {H}}\)-Tensors Wenbin GongYan LiYaqiang Wang Original Paper 02 April 2024
Optimization of Random Feature Method in the High-Precision Regime Jingrun ChenWeinan EYifei Sun Original Paper 30 March 2024
Fitted L1-ADI Scheme for Improving Convergence of Two-Dimensional Delay Fractional Equations Xiaoqing PanXiaotong HuangSeakweng Vong Original Paper 26 March 2024
On Multi-step Greedy Kaczmarz Method for Solving Large Sparse Consistent Linear Systems Long-Ze TanMing-Yu DengXue-Ping Guo Original Paper 25 March 2024
High Order ADER-IPDG Methods for the Unsteady Advection-Diffusion Equation Michel BergmannAfaf BouharguaneAlexis Tardieu Original Paper 20 March 2024
Monolithic Convex Limiting for Legendre-Gauss-Lobatto Discontinuous Galerkin Spectral-Element Methods Andrés M. Rueda-RamírezBenjamin BolmGregor J. Gassner Original Paper Open access 06 March 2024
Hierarchical Interpolative Factorization for Self Green’s Function in 3D Modified Poisson-Boltzmann Equations Yihui TuZhenli XuHaizhao Yang Original Paper 06 March 2024
Optimization in Machine Learning: a Distribution-Space Approach Yongqiang CaiQianxiao LiZuowei Shen Original Paper 01 March 2024
Bifurcation Analysis of an Advertising Diffusion Model Yong WangYao WangLiangping Qi Original Paper 01 March 2024
A New Block Preconditioner for Double Saddle Point Systems Arising from Liquid Crystal Directors Modeling Jian-Jun ZhangJia-Qi Liu Original Paper 26 February 2024
Convergent Data-Driven Regularizations for CT Reconstruction Samira KabriAlexander AurasMartin Burger Original Paper Open access 23 February 2024
Coordinate-Adaptive Integration of PDEs on Tensor Manifolds Alec DektorDaniele Venturi Original Paper Open access 23 February 2024
Revisting High-Resolution Schemes with van Albada Slope Limiter Jingcheng LuEitan Tadmor Original Paper 19 February 2024
Model Change Active Learning in Graph-Based Semi-supervised Learning Kevin S. MillerAndrea L. Bertozzi Original Paper Open access 17 February 2024
On Nonlinear Analysis for Multi-term Delay Fractional Differential Equations Under Hilfer Derivative Dildar AhmadAmjad AliThabet Abdeljawad Original Paper Open access 12 February 2024
Physics-Based Active Learning for Design Space Exploration and Surrogate Construction for Multiparametric Optimization Sergio TorregrosaVictor ChampaneyFrancisco Chinesta Review Article 09 February 2024
Numerical Stability and Convergence for Delay Space-Fractional Fisher Equations with Mixed Boundary Conditions in Two Dimensions Jing ChenQi Wang Original Paper 05 February 2024
Ramsey Numbers of Stars Versus Generalised Wheels Yiran ZhangYuejian Peng Original Paper 05 February 2024
Practical Restrictively Preconditioned Conjugate Gradient Methods for a Class of Block Two-by-Two Linear Systems Fang ChenShu-Ru He Original Paper 05 February 2024
Efficient and Accurate Spectral Method for Solving Fractional Differential Equations on the Half Line Using Orthogonal Generalized Rational Jacobi Functions Tarek Aboelenen Original Paper 02 February 2024
Variational and Numerical Approximations for Higher Order Fractional Sturm-Liouville Problems Divyansh PandeyPrashant K. PandeyRajesh K. Pandey Original Paper 29 January 2024
A Locking-Free and Reduction-Free Conforming Finite Element Method for the Reissner-Mindlin Plate on Rectangular Meshes Shangyou ZhangZhimin Zhang Original Paper 27 January 2024
An Efficient Smoothing and Thresholding Image Segmentation Framework with Weighted Anisotropic-Isotropic Total Variation Kevin BuiYifei LouJack Xin Original Paper 24 January 2024
Efficient Variable Steps BDF2 Scheme for the Two-Dimensional Space Fractional Cahn-Hilliard Model Xuan ZhaoZhongqin Xue Original Paper 22 January 2024
An Accelerated Convergence Scheme for Solving Stochastic Fractional Diffusion Equation Xing Liu Original Paper 16 January 2024
Convergence of a Generalized Riemann Problem Scheme for the Burgers Equation Mária Lukáčová-Medvid’ováYuhuan Yuan Original Paper 16 January 2024
Data-Driven Modeling of Partially Observed Biological Systems Wei-Hung SuChing-Shan ChouDongbin Xiu Original Paper 13 January 2024 Pages: 739 - 754
On the Use of Monotonicity-Preserving Interpolatory Techniques in Multilevel Schemes for Balance Laws Antonio BaezaRosa DonatAnna Martínez-Gavara Original Paper Open access 11 January 2024
Adaptive State-Dependent Diffusion for Derivative-Free Optimization Björn EngquistKui RenYunan Yang Original Paper 09 January 2024
Accuracy Analysis for Explicit-Implicit Finite Volume Schemes on Cut Cell Meshes Sandra MayFabian Laakmann Original Paper Open access 08 January 2024
Machine Learning Approaches for the Solution of the Riemann Problem in Fluid Dynamics: a Case Study Vitaly GyryaMikhail ShashkovSvetlana Tokareva Original Paper 03 January 2024
Anderson Acceleration of Gradient Methods with Energy for Optimization Problems Hailiang LiuJia-Hao HeXuping Tian Original Paper 28 December 2023