Issue 3/2022
Content (36 Articles)
Scientific Machine Learning Through Physics–Informed Neural Networks: Where we are and What’s Next
Salvatore Cuomo, Vincenzo Schiano Di Cola, Fabio Giampaolo, Gianluigi Rozza, Maziar Raissi, Francesco Piccialli
A High-Order Residual-Based Viscosity Finite Element Method for the Ideal MHD Equations
Tuan Anh Dao, Murtazo Nazarov
A Two-Grid Spectral Deferred Correction Method for the Multi-Order Fractional Differential Equations
Yu-ling Guo, Zhong-qing Wang
A Parallel Eigensolver for Photonic Crystals Discretized by Edge Finite Elements
Zhongjie Lu, Yan Xu
Randomized Quaternion QLP Decomposition for Low-Rank Approximation
Huan Ren, Ru-Ru Ma, Qiaohua Liu, Zheng-Jian Bai
Weak Versus Strong Wall Boundary Conditions for the Incompressible Navier-Stokes Equations
Gustav Eriksson, Ken Mattsson
Nonlinear Transform Induced Tensor Nuclear Norm for Tensor Completion
Ben-Zheng Li, Xi-Le Zhao, Teng-Yu Ji, Xiong-Jun Zhang, Ting-Zhu Huang
A Numerical Method for Singularly Perturbed Convection-diffusion Problems Posed on Smooth Domains
A. F. Hegarty, E. O’Riordan
Multilevel Local Defect-Correction Method for Nonsymmetric Eigenvalue Problems
Fei Xu, Qiumei Huang, Haishen Dai, Hongkun Ma
A Fast Operator-splitting Method for Beltrami Color Image Denoising
Yuping Duan, Qiuxiang Zhong, Xue-Cheng Tai, Roland Glowinski
Optimal Control in a Bounded Domain for Wave Propagating in the Whole Space: Coupling Through Boundary Integral Equations
Wei Gong, Buyang Li, Huanhuan Yang
Finite Element Methods for Large-Strain Poroelasticity/Chemotaxis Models Simulating the Formation of Myocardial Oedema
N. A. Barnafi, B. Gómez-Vargas, W. J. Lourenço, R. F. Reis, B. M. Rocha, M. Lobosco, R. Ruiz-Baier, R. Weber dos Santos
An Efficient Algorithm for Computing the Approximate t-URV and its Applications
Maolin Che, Yimin Wei
Sketch-Based Empirical Natural Gradient Methods for Deep Learning
Minghan Yang, Dong Xu, Zaiwen Wen, Mengyun Chen, Pengxiang Xu
CVEM-BEM Coupling with Decoupled Orders for 2D Exterior Poisson Problems
Luca Desiderio, Silvia Falletta, Matteo Ferrari, Letizia Scuderi
Energy Plus Maximum Bound Preserving Runge–Kutta Methods for the Allen–Cahn Equation
Zhaohui Fu, Tao Tang, Jiang Yang
L1 Method on Nonuniform Meshes for Linear Time-Fractional Diffusion Equations with Constant Time Delay
Tan Tan, Wei-Ping Bu, Ai-Guo Xiao
Exponential Convergence of hp-discontinuous Galerkin Method for Nonlinear Caputo Fractional Differential Equations
Yanping Chen, Lina Wang, Lijun Yi
Variational Physics Informed Neural Networks: the Role of Quadratures and Test Functions
Stefano Berrone, Claudio Canuto, Moreno Pintore
A Modular Voigt Regularization of the Crank-Nicolson Finite Element Method for the Navier-Stokes Equations
Y. Rong, J. A. Fiordilino, F. Shi, Y. Cao
Maximum Principle Preserving Space and Time Flux Limiting for Diagonally Implicit Runge–Kutta Discretizations of Scalar Convection-diffusion Equations
Manuel Quezada de Luna, David I. Ketcheson
A Pseudostress-Based Mixed-Primal Finite Element Method for Stress-Assisted Diffusion Problems in Banach Spaces
Gabriel N. Gatica, Cristian Inzunza, Filánder A. Sequeira
A Stabilized Difference Finite Element Method for the 3D Steady Incompressible Navier-Stokes Equations
Xiaoli Lu, Pengzhan Huang, Xinlong Feng, Yinnian He
Preconditioned Three-Operator Splitting Algorithm with Applications to Image Restoration
Yuchao Tang, Meng Wen, Tieyong Zeng
An Oscillation-free Discontinuous Galerkin Method for Shallow Water Equations
Yong Liu, Jianfang Lu, Qi Tao, Yinhua Xia
Robust Grey Wolf Optimizer for Multimodal Optimizations: A Cross-Dimensional Coordination Approach
Bingkun Wang, Lei Liu, Yuchong Li, Mohammad Khishe
Positivity-Preserving and Well-Balanced Adaptive Surface Reconstruction Schemes for Shallow Water Equations with Wet-Dry Fronts
Xu Qian, Jian Dong, Songhe Song