Non-linear Manifold Reduced-Order Models with Convolutional Autoencoders and Reduced Over-Collocation Method Francesco RomorGiovanni StabileGianluigi Rozza OriginalPaper Open access 14 February 2023 Article: 74
Strong Convergence of Forward–Reflected–Backward Splitting Methods for Solving Monotone Inclusions with Applications to Image Restoration and Optimal Control Chinedu IzuchukwuSimeon ReichAdeolu Taiwo OriginalPaper 14 February 2023 Article: 73
Optimal Error Estimates of Coupled and Divergence-Free Virtual Element Methods for the Poisson–Nernst–Planck/Navier–Stokes Equations and Applications in Electrochemical Systems Mehdi DehghanZeinab GharibiRicardo Ruiz-Baier OriginalPaper 09 February 2023 Article: 72
A Complementary Topographic Feature Detection Algorithm Based on Surface Curvature for Three-Dimensional Level-Set Functions Christoph LenzLuiz Felipe AguinskyJosef Weinbub OriginalPaper Open access 08 February 2023 Article: 71
Unconditional Convergence of Conservative Spectral Galerkin Methods for the Coupled Fractional Nonlinear Klein–Gordon–Schrödinger Equations Dongdong HuYayun FuYushun Wang OriginalPaper 08 February 2023 Article: 70
Block Mirror Stochastic Gradient Method For Stochastic Optimization Jinda YangHaiming SongDi Hou OriginalPaper 08 February 2023 Article: 69
Stochastic Galerkin Methods for Time-Dependent Radiative Transfer Equations with Uncertain Coefficients Chuqi ZhengJiayu QiuXinghui Zhong OriginalPaper 07 February 2023 Article: 68
DCT-Former: Efficient Self-Attention with Discrete Cosine Transform Carmelo ScribanoGiorgia FranchiniMarko Bertogna OriginalPaper 07 February 2023 Article: 67
Error Estimates of EDG-HDG Methods for the Stokes Equations with Dirac Measures Haitao Leng OriginalPaper 06 February 2023 Article: 66
Linearly-Convergent FISTA Variant for Composite Optimization with Duality Casey GarnerShuzhong Zhang OriginalPaper 06 February 2023 Article: 65
A Reduced Basis Method for Darcy Flow Systems that Ensures Local Mass Conservation by Using Exact Discrete Complexes Wietse M. BoonAlessio Fumagalli OriginalPaper Open access 06 February 2023 Article: 64
A Compressed Sensing Based Least Squares Approach to Semi-supervised Local Cluster Extraction Ming-Jun LaiZhaiming Shen OriginalPaper 01 February 2023 Article: 63
On Spectral Petrov–Galerkin Method for Solving Optimal Control Problem Governed by Fractional Diffusion Equations with Fractional Noise Shengyue LiWanrong Cao OriginalPaper 01 February 2023 Article: 62
An Interface/Boundary-Unfitted EXtended HDG Method for Linear Elasticity Problems Yihui HanXiao-Ping WangXiaoping Xie OriginalPaper 01 February 2023 Article: 61
Understanding the Convergence of the Preconditioned PDHG Method: A View of Indefinite Proximal ADMM Yumin MaXingju CaiDeren Han OriginalPaper 01 February 2023 Article: 60
Discrete Adjoint Computations for Relaxation Runge–Kutta Methods Mario J. BencomoJesse Chan OriginalPaper 01 February 2023 Article: 59
Multigrid with Nonstandard Coarse-Level Operators and Coarsening Factors Chang LiuWilliam Henshaw OriginalPaper 31 January 2023 Article: 58
Asymptotic-Preserving Neural Networks for Multiscale Time-Dependent Linear Transport Equations Shi JinZheng MaKeke Wu OriginalPaper 31 January 2023 Article: 57
Stability and Interpolation Properties for Stokes-Like Virtual Element Spaces Jian MengLourenço Beirão da VeigaLorenzo Mascotto OriginalPaper 31 January 2023 Article: 56
An Energy-based Overset Finite Element Method for Pseudo-static Structural Analysis Haruka TomobeVikas SharmaHitoshi Morikawa OriginalPaper Open access 28 January 2023 Article: 55
The Cartesian Grid Active Flux Method with Adaptive Mesh Refinement Donna CalhounErik ChudzikChristiane Helzel OriginalPaper Open access 27 January 2023 Article: 54
Strong Stability Preserving Multistep Schemes for Forward Backward Stochastic Differential Equations Shuixin FangWeidong ZhaoTao Zhou OriginalPaper 27 January 2023 Article: 53
A Posteriori Error Analysis for Pressure-Robust HDG Methods for the Stationary Incompressible Navier–Stokes Equations Haitao Leng OriginalPaper 27 January 2023 Article: 52
Stochastic Regularized Newton Methods for Nonlinear Equations Jiani WangXiao WangLiwei Zhang OriginalPaper 22 January 2023 Article: 51
A Fully-Decoupled Artificial Compressible Crank–Nicolson–Leapfrog Time Stepping Scheme for the Phase Field Model of Two-Phase Incompressible Flows Lingzhi QianChunya WuYuanyang Qiao OriginalPaper 21 January 2023 Article: 50
Spectral Analysis of High Order Continuous FEM for Hyperbolic PDEs on Triangular Meshes: Influence of Approximation, Stabilization, and Time-Stepping Sixtine MichelDavide TorloRémi Abgrall OriginalPaper Open access 21 January 2023 Article: 49
High-Order CENO Finite-Volume Scheme with Anisotropic Adaptive Mesh Refinement: Efficient Inexact Newton Method for Steady Three-Dimensional Flows L. FreretC. N. NgigiC. P. T. Groth OriginalPaper 21 January 2023 Article: 48
Convergence and Error Estimates of a Mixed Discontinuous Galerkin-Finite Element Method for the Semi-stationary Compressible Stokes System Shipeng MaoWendong Xue OriginalPaper 17 January 2023 Article: 47
A Fictitious Domain Spectral Method for Solving the Helmholtz Equation in Exterior Domains Yiqi GuJie Shen OriginalPaper 16 January 2023 Article: 46
Goal-Oriented Sensitivity Analysis of Hyperparameters in Deep Learning Paul NovelloGaël PoëttePietro Marco Congedo OriginalPaper 16 January 2023 Article: 45