Ausgabe 2/2022
Inhalt (46 Artikel)
Improved Architectures and Training Algorithms for Deep Operator Networks
Sifan Wang, Hanwen Wang, Paris Perdikaris
A Sojourn-Based Approach to Semi-Markov Reinforcement Learning
Giacomo Ascione, Salvatore Cuomo
RETRACTED ARTICLE: Model Order Reduction Method Based on Machine Learning for Parameterized Time-Dependent Partial Differential Equations
Fangxiong Cheng, Hui Xu, Xinlong Feng
Efficient GPU Implementation of Multidimensional Incomplete Riemann Solvers for Hyperbolic Nonconservative Systems: Applications to Shallow Water Systems with Topography and Dry Areas
Kleiton A. Schneider, José M. Gallardo, Cipriano Escalante
A Positivity Preserving, Energy Stable Finite Difference Scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes System
Wenbin Chen, Jianyu Jing, Cheng Wang, Xiaoming Wang
Spatially Adapted First and Second Order Regularization for Image Reconstruction: From an Image Surface Perspective
Qiuxiang Zhong, Ryan Wen Liu, Yuping Duan
Numerical Bifurcation Analysis of PDEs From Lattice Boltzmann Model Simulations: a Parsimonious Machine Learning Approach
Evangelos Galaris, Gianluca Fabiani, Ioannis Gallos, Ioannis Kevrekidis, Constantinos Siettos
A Mass-Preserving Two-Step Lagrange–Galerkin Scheme for Convection-Diffusion Problems
Kouta Futai, Niklas Kolbe, Hirofumi Notsu, Tasuku Suzuki
Adaptive Integration of Nonlinear Evolution Equations on Tensor Manifolds
Abram Rodgers, Alec Dektor, Daniele Venturi
A Constructive Algorithm for Disk Conformal Parameterizations
Wei-Hung Liao, Mei-Heng Yueh
Preconditioners with Symmetrized Techniques for Space Fractional Cahn-Hilliard Equations
Xin Huang, Dongfang Li, Hai-Wei Sun, Fan Zhang
An Interior Stochastic Gradient Method for a Class of Non-Lipschitz Optimization Problems
Wanyou Cheng, Xiao Wang, Xiaojun Chen
Continuous/Discontinuous Galerkin Difference Discretizations of High-Order Differential Operators
J. W. Banks, B. Brett Buckner, T. Hagstrom
Discrete Dynamical System Approaches for Boolean Polynomial Optimization
Yi-Shuai Niu, Roland Glowinski
An Interpolated Galerkin Finite Element Method for the Poisson Equation
Tatyana Sorokina, Shangyou Zhang
Unisolvency for Polynomial Interpolation in Simplices with Symmetrical Nodal Distributions
André L. Marchildon, David W. Zingg
Analysis of Pressure-Robust Embedded-Hybridized Discontinuous Galerkin Methods for the Stokes Problem Under Minimal Regularity
Aaron Baier-Reinio, Sander Rhebergen, Garth N. Wells
Mesh-Robustness of an Energy Stable BDF2 Scheme with Variable Steps for the Cahn–Hilliard Model
Hong-lin Liao, Bingquan Ji, Lin Wang, Zhimin Zhang
Numerical Approximation of a System of Hamilton–Jacobi–Bellman Equations Arising in Innovation Dynamics
L’ubomír Baňas, Herbert Dawid, Tsiry Avisoa Randrianasolo, Johannes Storn, Xingang Wen
Numerical Analysis of a Darcy-Forchheimer Model Coupled with the Heat Equation
G. Deugoue, J. K. Djoko, V. S. Konlack, M. Mbehou
Boundary Estimation from Point Clouds: Algorithms, Guarantees and Applications
Jeff Calder, Sangmin Park, Dejan Slepčev
Bernstein-Bézier Galerkin-Characteristics Finite Element Method for Convection-Diffusion Problems
Mofdi El-Amrani, Abdellah El-Kacimi, Bassou Khouya, Mohammed Seaid
Conservation Properties of Iterative Methods for Implicit Discretizations of Conservation Laws
Philipp Birken, Viktor Linders
On Snapshot-Based Model Reduction Under Compatibility Conditions for a Nonlinear Flow Problem on Networks
Björn Liljegren-Sailer, Nicole Marheineke
BDDC Preconditioners for Divergence Free Virtual Element Discretizations of the Stokes Equations
Tommaso Bevilacqua, Simone Scacchi
Sharp Error Estimate of an Implicit BDF2 Scheme with Variable Time Steps for the Phase Field Crystal Model
Yana Di, Yifan Wei, Jiwei Zhang, Chengchao Zhao
The Stabilized Nonconforming Virtual Element Method for Linear Elasticity Problem
Jikun Zhao, Tianle Wang, Bei Zhang
Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Schemes for Shallow Water Models
Yangyang Cao, Alexander Kurganov, Yongle Liu, Ruixiao Xin
Two Time-Stepping Schemes for Sub-Diffusion Equations with Singular Source Terms
Han Zhou, Wenyi Tian
Conditioning of a Hybrid High-Order Scheme on Meshes with Small Faces
Santiago Badia, Jérôme Droniou, Liam Yemm
Conservative Numerical Schemes with Optimal Dispersive Wave Relations: Part II. Numerical Evaluations
Qingshan Chen, Lili Ju, Roger Temam
A Posteriori Error Analysis for Variable-Coefficient Multiterm Time-Fractional Subdiffusion Equations
Natalia Kopteva, Martin Stynes