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Stability Analysis of Coupled Advection-Diffusion Models with Bulk Interface Condition Hong ZhangZhengyu LiuRobert Jacob OriginalPaper 09 September 2022 Article: 33
Conforming Virtual Element Methods for Sobolev Equations Yang XuZhenguo ZhouJingjun Zhao OriginalPaper 09 September 2022 Article: 32
Correction of High-Order \(L_k\) Approximation for Subdiffusion Jiankang ShiMinghua ChenJianxiong Cao OriginalPaper 07 September 2022 Article: 31
Solving Stochastic Optimal Control Problem via Stochastic Maximum Principle with Deep Learning Method Shaolin JiShige PengXichuan Zhang OriginalPaper 07 September 2022 Article: 30
Accuracy Enhancing Interface Treatment Algorithm: The Back and Forth Error Compensation and Correction Method Wenbin DongYingjie LiuHansong Tang OriginalPaper 07 September 2022 Article: 29
A Lowest-Degree Conservative Finite Element Scheme for Incompressible Stokes Problems on General Triangulations Wenjia LiuShuo Zhang OriginalPaper 07 September 2022 Article: 28
Numerical Factorization of Propagation Operator for Hyperbolic Equations and Application to One-way, True Amplitude One-way Equations and Bremmer Series Clément RudelSébastien PernetJean-Philippe Brazier OriginalPaper 06 September 2022 Article: 27
Anisotropic a Posteriori Error Analysis for the Two-Step Backward Differentiation Formula for Parabolic Integro-Differential Equation N ShravaniG Murali Mohan ReddyA. K. Pani OriginalPaper 06 September 2022 Article: 26
Splitting-up Spectral Method for Nonlinear Filtering Problems with Correlation Noises Fengshan ZhangYongkui ZouYanzhao Cao OriginalPaper 05 September 2022 Article: 25
Inertial Version of Generalized Projected Reflected Gradient Method Olaniyi S. IyiolaYekini Shehu OriginalPaper 05 September 2022 Article: 24
Entropy–Preserving and Entropy–Stable Relaxation IMEX and Multirate Time–Stepping Methods Shinhoo KangEmil M. Constantinescu OriginalPaper 04 September 2022 Article: 23
Error Estimate of Exponential Time Differencing Runge-Kutta Scheme for the Epitaxial Growth Model Without Slope Selection Yabing SunQuan Zhou OriginalPaper 03 September 2022 Article: 22
Troubled-Cell Indication Using K-means Clustering with Unified Parameters Hongqiang ZhuZhihuan WangZhen Gao OriginalPaper 03 September 2022 Article: 21
Improved Deep Neural Networks with Domain Decomposition in Solving Partial Differential Equations Wei WuXinlong FengHui Xu OriginalPaper 03 September 2022 Article: 20
A Weak Galerkin Finite Element Method Can Compute Both Upper and Lower Eigenvalue Bounds Qigang LiangXuejun XuLiuyao Yuan OriginalPaper 01 September 2022 Article: 19
Red Light Green Light Method for Solving Large Markov Chains Konstantin AvrachenkovPatrick BrownNelly Litvak OriginalPaper 30 August 2022 Article: 18
A Non-Stiff Summation-By-Parts Finite Difference Method for the Scalar Wave Equation in Second Order Form: Characteristic Boundary Conditions and Nonlinear Interfaces Brittany A. EricksonJeremy E. KozdonTobias Harvey OriginalPaper 30 August 2022 Article: 17
A Posteriori Estimates of Taylor-Hood Element for Stokes Problem Using Auxiliary Subspace Techniques Jiachuan ZhangRan ZhangXiaoshen Wang OriginalPaper 24 August 2022 Article: 16
A Least-Squares Method for the Solution of the Non-smooth Prescribed Jacobian Equation Alexandre CaboussatRoland GlowinskiDimitrios Gourzoulidis OriginalPaper Open access 24 August 2022 Article: 15
A Second-order Modified Ghost Fluid Method (2nd-MGFM) with Discontinuous Galerkin Method for 1-D compressible Multi-medium Problem with Cylindrical and Spherical Symmetry Xiaotao ZhangTiegang LiuKun Wang OriginalPaper 22 August 2022 Article: 14
Accuracy-Enhancement of Discontinuous Galerkin Methods for PDEs Containing High Order Spatial Derivatives Qi TaoLiangyue JiYan Xu OriginalPaper 22 August 2022 Article: 13
Immersed Virtual Element Methods for Elliptic Interface Problems in Two Dimensions Shuhao CaoLong ChenFrank Lin OriginalPaper 22 August 2022 Article: 12
Meshfree Semi-Lagrangian Methods for Solving Surface Advection PDEs Argyrios PetrasLeevan LingSteven J. Ruuth OriginalPaper Open access 22 August 2022 Article: 11
A Posteriori Analysis for a Mixed FEM Discretization of the Linear Elasticity Spectral Problem Felipe LepeGonzalo RiveraJesus Vellojin OriginalPaper 22 August 2022 Article: 10
Efficient Color Image Segmentation via Quaternion-based \(L_1/L_2\) Regularization Tingting WuZhihui MaoTieyong Zeng OriginalPaper 22 August 2022 Article: 9
Error Estimates for Approximations of Time-Fractional Biharmonic Equation with Nonsmooth Data Mariam Al-MaskariSamir Karaa OriginalPaper 22 August 2022 Article: 8
The Abstract Laplacian Tensor of a Hypergraph with Applications in Clustering Tianhang LiuYimin Wei OriginalPaper 22 August 2022 Article: 7
Error-Correcting Neural Networks for Two-Dimensional Curvature Computation in the Level-set Method Luis Ángel Larios-CárdenasFrédéric Gibou OriginalPaper 22 August 2022 Article: 6
The Deep Learning Galerkin Method for the General Stokes Equations Jian LiJing YueWansuo Duan OriginalPaper 22 August 2022 Article: 5
The Bogner-Fox-Schmit Element Finite Volume Methods on the Shishkin Mesh for Fourth-Order Singularly Perturbed Elliptic Problems Yue WangXiangyun MengYonghai Li OriginalPaper 22 August 2022 Article: 4
High Order Asymptotic Preserving Hermite WENO Fast Sweeping Method for the Steady-State \(S_{N}\) Transport Equations Yupeng RenYulong XingJianxian Qiu OriginalPaper 22 August 2022 Article: 3
Proximal Gradient Methods for General Smooth Graph Total Variation Model in Unsupervised Learning Baochen SunHuibin Chang OriginalPaper 22 August 2022 Article: 2
A Limited-Memory Riemannian Symmetric Rank-One Trust-Region Method with a Restart Strategy Wen HuangKyle A. Gallivan OriginalPaper 17 August 2022 Article: 1
