Ausgabe 2/2023
Inhalt (29 Artikel)
Learning Proper Orthogonal Decomposition of Complex Dynamics Using Heavy-ball Neural ODEs
Justin Baker, Elena Cherkaev, Akil Narayan, Bao Wang
An Anisotropic hp-mesh Adaptation Method for Time-Dependent Problems Based on Interpolation Error Control
Vít Dolejší, Georg May
A Positivity-Preserving, Energy Stable BDF2 Scheme with Variable Steps for the Cahn–Hilliard Equation with Logarithmic Potential
Qianqian Liu, Jianyu Jing, Maoqin Yuan, Wenbin Chen
Quasi Non-Negative Quaternion Matrix Factorization with Application to Color Face Recognition
Yifen Ke, Changfeng Ma, Zhigang Jia, Yajun Xie, Riwei Liao
Proximal Quasi-Newton Method for Composite Optimization over the Stiefel Manifold
Qinsi Wang, Wei Hong Yang
Uniform Bounds with Difference Quotients for Proper Orthogonal Decomposition Reduced Order Models of the Burgers Equation
Birgul Koc, Tomás Chacón Rebollo, Samuele Rubino
Unisolvence of Symmetric Node Patterns for Polynomial Spaces on the Simplex
W. A. Mulder
Moving Water Equilibria Preserving Discontinuous Galerkin Method for the Shallow Water Equations
Jiahui Zhang, Yinhua Xia, Yan Xu
A Fast Sine Transform Accelerated High-Order Finite Difference Method for Parabolic Problems over Irregular Domains
Chuan Li, Yiming Ren, Guangqing Long, Eric Boerman, Shan Zhao
Accuracy and Architecture Studies of Residual Neural Network Method for Ordinary Differential Equations
Changxin Qiu, Aaron Bendickson, Joshua Kalyanapu, Jue Yan
Practical Sketching Algorithms for Low-Rank Tucker Approximation of Large Tensors
Wandi Dong, Gaohang Yu, Liqun Qi, Xiaohao Cai
Stabilizing Discontinuous Galerkin Methods Using Dafermos’ Entropy Rate Criterion: I—One-Dimensional Conservation Laws
Simon-Christian Klein
Trivariate Spline Collocation Methods for Numerical Solution to 3D Monge-Ampère Equation
Ming-Jun Lai, Jinsil Lee
A viscoelastic Timoshenko Beam Model: Regularity and Numerical Approximation
Yiqun Li, Hong Wang, Xiangcheng Zheng
Numerical Methods for Some Nonlinear Schrödinger Equations in Soliton Management
Ying He, Xiaofei Zhao
Superconvergence Analysis of Curlcurl-Conforming Elements on Rectangular Meshes
Lixiu Wang, Qian Zhang, Zhimin Zhang
A Second-order Time-Accurate Unconditionally Stable Method for a Gradient Flow for the Modica–Mortola Functional
Seokjun Ham, Soobin Kwak, Chaeyoung Lee, Gyeonggyu Lee, Junseok Kim
Correction to: Data Assimilation Predictive GAN (DA-PredGAN) Applied to a Spatio-Temporal Compartmental Model in Epidemiology
Vinicius L. S. Silva, Claire E. Heaney, Yaqi Li, Christopher C. Pain