A Second-order Time-Accurate Unconditionally Stable Method for a Gradient Flow for the Modica–Mortola Functional Seokjun HamSoobin KwakJunseok Kim OriginalPaper 11 April 2023 Article: 63
Superconvergence Analysis of Curlcurl-Conforming Elements on Rectangular Meshes Lixiu WangQian ZhangZhimin Zhang OriginalPaper 11 April 2023 Article: 62
Numerical Methods for Some Nonlinear Schrödinger Equations in Soliton Management Ying HeXiaofei Zhao OriginalPaper 10 April 2023 Article: 61
Analysis of a Fourier–Galerkin Method for the Transmission Eigenvalue Problem based on a Boundary Integral Formulation Yunyun MaJiguang Sun OriginalPaper 10 April 2023 Article: 60
Global-in-Time \(H^1\)-Stability of L2-1\(_\sigma \) Method on General Nonuniform Meshes for Subdiffusion Equation Chaoyu QuanXu Wu OriginalPaper 09 April 2023 Article: 59
Numerical Analysis of the Nonuniform Fast L1 Formula for Nonlinear Time–Space Fractional Parabolic Equations Zhiyong XingLiping Wen OriginalPaper 08 April 2023 Article: 58
A viscoelastic Timoshenko Beam Model: Regularity and Numerical Approximation Yiqun LiHong WangXiangcheng Zheng OriginalPaper 07 April 2023 Article: 57
Trivariate Spline Collocation Methods for Numerical Solution to 3D Monge-Ampère Equation Ming-Jun LaiJinsil Lee OriginalPaper 06 April 2023 Article: 56
Stabilizing Discontinuous Galerkin Methods Using Dafermos’ Entropy Rate Criterion: I—One-Dimensional Conservation Laws Simon-Christian Klein OriginalPaper Open access 05 April 2023 Article: 55
Learning Proper Orthogonal Decomposition of Complex Dynamics Using Heavy-ball Neural ODEs Justin BakerElena CherkaevBao Wang OriginalPaper 30 March 2023 Article: 54
All-Speed Numerical Methods for the Euler Equations via a Sequential Explicit Time Integration Wasilij Barsukow OriginalPaper 30 March 2023 Article: 53
Practical Sketching Algorithms for Low-Rank Tucker Approximation of Large Tensors Wandi DongGaohang YuXiaohao Cai OriginalPaper 29 March 2023 Article: 52
Analysis and Hermite Spectral Approximation of Diffusive-Viscous Wave Equations in Unbounded Domains Arising in Geophysics Dan LingZhiping Mao OriginalPaper 28 March 2023 Article: 51
Accuracy and Architecture Studies of Residual Neural Network Method for Ordinary Differential Equations Changxin QiuAaron BendicksonJue Yan OriginalPaper 28 March 2023 Article: 50
A Fast Sine Transform Accelerated High-Order Finite Difference Method for Parabolic Problems over Irregular Domains Chuan LiYiming RenShan Zhao OriginalPaper 26 March 2023 Article: 49
Moving Water Equilibria Preserving Discontinuous Galerkin Method for the Shallow Water Equations Jiahui ZhangYinhua XiaYan Xu OriginalPaper 24 March 2023 Article: 48
Correction to: Data Assimilation Predictive GAN (DA-PredGAN) Applied to a Spatio-Temporal Compartmental Model in Epidemiology Vinicius L. S. SilvaClaire E. HeaneyChristopher C. Pain Correction Open access 24 March 2023 Article: 47
A Note on the Shape Regularity of Worsey–Farin Splits Sining GongJohnny GuzmánMichael Neilan OriginalPaper 24 March 2023 Article: 46
Unisolvence of Symmetric Node Patterns for Polynomial Spaces on the Simplex W. A. Mulder OriginalPaper Open access 21 March 2023 Article: 45
Space-Time Adaptive ADER-DG Finite Element Method with LST-DG Predictor and a posteriori Sub-cell WENO Finite-Volume Limiting for Simulation of Non-stationary Compressible Multicomponent Reactive Flows I. S. Popov OriginalPaper 21 March 2023 Article: 44
Uniform Bounds with Difference Quotients for Proper Orthogonal Decomposition Reduced Order Models of the Burgers Equation Birgul KocTomás Chacón RebolloSamuele Rubino OriginalPaper Open access 20 March 2023 Article: 43
Solving Nonlinear Elliptic Inverse Source, Coefficient and Conductivity Problems by the Methods with Bases Satisfying the Boundary Conditions Automatically Chein-Shan LiuLin Qiu OriginalPaper 20 March 2023 Article: 42
ReLU Neural Network Galerkin BEM Rubén AylwinFernando HenríquezChristoph Schwab OriginalPaper Open access 19 March 2023 Article: 41
On Generalized Gauss–Radau Projections and Optimal Error Estimates of Upwind-Biased DG Methods for the Linear Advection Equation on Special Simplex Meshes Zheng SunYulong Xing OriginalPaper 18 March 2023 Article: 40
Proximal Quasi-Newton Method for Composite Optimization over the Stiefel Manifold Qinsi WangWei Hong Yang OriginalPaper 16 March 2023 Article: 39
Quasi Non-Negative Quaternion Matrix Factorization with Application to Color Face Recognition Yifen KeChangfeng MaRiwei Liao OriginalPaper 16 March 2023 Article: 38
A Positivity-Preserving, Energy Stable BDF2 Scheme with Variable Steps for the Cahn–Hilliard Equation with Logarithmic Potential Qianqian LiuJianyu JingWenbin Chen OriginalPaper 16 March 2023 Article: 37
An Anisotropic hp-mesh Adaptation Method for Time-Dependent Problems Based on Interpolation Error Control Vít DolejšíGeorg May OriginalPaper Open access 16 March 2023 Article: 36
Numerical Computation of Partial Differential Equations by Hidden-Layer Concatenated Extreme Learning Machine Naxian NiSuchuan Dong OriginalPaper 16 March 2023 Article: 35
