Issue 1/2022
Content (34 Articles)
Improved Deep Neural Networks with Domain Decomposition in Solving Partial Differential Equations
Wei Wu, Xinlong Feng, Hui Xu
A Limited-Memory Riemannian Symmetric Rank-One Trust-Region Method with a Restart Strategy
Wen Huang, Kyle A. Gallivan
Proximal Gradient Methods for General Smooth Graph Total Variation Model in Unsupervised Learning
Baochen Sun, Huibin Chang
High Order Asymptotic Preserving Hermite WENO Fast Sweeping Method for the Steady-State Transport Equations
Yupeng Ren, Yulong Xing, Dean Wang, Jianxian Qiu
The Bogner-Fox-Schmit Element Finite Volume Methods on the Shishkin Mesh for Fourth-Order Singularly Perturbed Elliptic Problems
Yue Wang, Xiangyun Meng, Yonghai Li
The Deep Learning Galerkin Method for the General Stokes Equations
Jian Li, Jing Yue, Wen Zhang, Wansuo Duan
Error-Correcting Neural Networks for Two-Dimensional Curvature Computation in the Level-set Method
Luis Ángel Larios-Cárdenas, Frédéric Gibou
The Abstract Laplacian Tensor of a Hypergraph with Applications in Clustering
Tianhang Liu, Yimin Wei
Error Estimates for Approximations of Time-Fractional Biharmonic Equation with Nonsmooth Data
Mariam Al-Maskari, Samir Karaa
Efficient Color Image Segmentation via Quaternion-based Regularization
Tingting Wu, Zhihui Mao, Zeyu Li, Yonghua Zeng, Tieyong Zeng
A Posteriori Analysis for a Mixed FEM Discretization of the Linear Elasticity Spectral Problem
Felipe Lepe, Gonzalo Rivera, Jesus Vellojin
Meshfree Semi-Lagrangian Methods for Solving Surface Advection PDEs
Argyrios Petras, Leevan Ling, Steven J. Ruuth
Immersed Virtual Element Methods for Elliptic Interface Problems in Two Dimensions
Shuhao Cao, Long Chen, Ruchi Guo, Frank Lin
Accuracy-Enhancement of Discontinuous Galerkin Methods for PDEs Containing High Order Spatial Derivatives
Qi Tao, Liangyue Ji, Jennifer K. Ryan, Yan Xu
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 Zhang, Tiegang Liu, Changsheng Yu, Chengliang Feng, Zhiqiang Zeng, Kun Wang
A Least-Squares Method for the Solution of the Non-smooth Prescribed Jacobian Equation
Alexandre Caboussat, Roland Glowinski, Dimitrios Gourzoulidis
A Posteriori Estimates of Taylor-Hood Element for Stokes Problem Using Auxiliary Subspace Techniques
Jiachuan Zhang, Ran Zhang, Xiaoshen Wang
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. Erickson, Jeremy E. Kozdon, Tobias Harvey
Red Light Green Light Method for Solving Large Markov Chains
Konstantin Avrachenkov, Patrick Brown, Nelly Litvak
A Weak Galerkin Finite Element Method Can Compute Both Upper and Lower Eigenvalue Bounds
Qigang Liang, Xuejun Xu, Liuyao Yuan
Troubled-Cell Indication Using K-means Clustering with Unified Parameters
Hongqiang Zhu, Zhihuan Wang, Haiyun Wang, Qiang Zhang, Zhen Gao
Entropy–Preserving and Entropy–Stable Relaxation IMEX and Multirate Time–Stepping Methods
Shinhoo Kang, Emil M. Constantinescu
Splitting-up Spectral Method for Nonlinear Filtering Problems with Correlation Noises
Fengshan Zhang, Yongkui Zou, Shimin Chai, Ran Zhang, Yanzhao Cao
Anisotropic a Posteriori Error Analysis for the Two-Step Backward Differentiation Formula for Parabolic Integro-Differential Equation
N Shravani, G Murali Mohan Reddy, A. K. Pani
Numerical Factorization of Propagation Operator for Hyperbolic Equations and Application to One-way, True Amplitude One-way Equations and Bremmer Series
Clément Rudel, Sébastien Pernet, Jean-Philippe Brazier
Accuracy Enhancing Interface Treatment Algorithm: The Back and Forth Error Compensation and Correction Method
Wenbin Dong, Yingjie Liu, Hansong Tang
Solving Stochastic Optimal Control Problem via Stochastic Maximum Principle with Deep Learning Method
Shaolin Ji, Shige Peng, Ying Peng, Xichuan Zhang
Correction of High-Order Approximation for Subdiffusion
Jiankang Shi, Minghua Chen, Yubin Yan, Jianxiong Cao
Stability Analysis of Coupled Advection-Diffusion Models with Bulk Interface Condition
Hong Zhang, Zhengyu Liu, Emil Constantinescu, Robert Jacob