An Adaptive Dynamical Low Rank Method for the Nonlinear Boltzmann Equation Jingwei HuYubo Wang OriginalPaper 15 July 2022 Article: 75
Solving Elliptic PDE’s Using Polynomial Splines on Curved Triangulations Larry L. Schumaker OriginalPaper 15 July 2022 Article: 74
A Posteriori Error Analysis for Variable-Coefficient Multiterm Time-Fractional Subdiffusion Equations Natalia KoptevaMartin Stynes OriginalPaper 14 July 2022 Article: 73
Conservative Numerical Schemes with Optimal Dispersive Wave Relations: Part II. Numerical Evaluations Qingshan ChenLili JuRoger Temam OriginalPaper 12 July 2022 Article: 72
Conditioning of a Hybrid High-Order Scheme on Meshes with Small Faces Santiago BadiaJérôme DroniouLiam Yemm OriginalPaper Open access 11 July 2022 Article: 71
Two Time-Stepping Schemes for Sub-Diffusion Equations with Singular Source Terms Han ZhouWenyi Tian OriginalPaper 09 July 2022 Article: 70
Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Schemes for Shallow Water Models Yangyang CaoAlexander KurganovRuixiao Xin OriginalPaper 09 July 2022 Article: 69
The Stabilized Nonconforming Virtual Element Method for Linear Elasticity Problem Jikun ZhaoTianle WangBei Zhang OriginalPaper 08 July 2022 Article: 68
Balanced-Norm and Energy-Norm Error Analyses for a Backward Euler/FEM Solving a Singularly Perturbed Parabolic Reaction-Diffusion Problem Xiangyun MengMartin Stynes OriginalPaper 08 July 2022 Article: 67
Stabilized Exponential-SAV Schemes Preserving Energy Dissipation Law and Maximum Bound Principle for The Allen–Cahn Type Equations Lili JuXiao LiZhonghua Qiao OriginalPaper 08 July 2022 Article: 66
Sharp Error Estimate of an Implicit BDF2 Scheme with Variable Time Steps for the Phase Field Crystal Model Yana DiYifan WeiChengchao Zhao OriginalPaper 08 July 2022 Article: 65
RETRACTED ARTICLE: Model Order Reduction Method Based on Machine Learning for Parameterized Time-Dependent Partial Differential Equations Fangxiong ChengHui XuXinlong Feng OriginalPaper 08 July 2022 Article: 64
BDDC Preconditioners for Divergence Free Virtual Element Discretizations of the Stokes Equations Tommaso BevilacquaSimone Scacchi OriginalPaper Open access 08 July 2022 Article: 63
On Snapshot-Based Model Reduction Under Compatibility Conditions for a Nonlinear Flow Problem on Networks Björn Liljegren-SailerNicole Marheineke OriginalPaper Open access 07 July 2022 Article: 62
A Class of New High-order Finite-Volume TENO Schemes for Hyperbolic Conservation Laws with Unstructured Meshes Zhe JiTian LiangLin Fu OriginalPaper 07 July 2022 Article: 61
Conservation Properties of Iterative Methods for Implicit Discretizations of Conservation Laws Philipp BirkenViktor Linders OriginalPaper Open access 07 July 2022 Article: 60
Numerical Simulation of Singularity Propagation Modeled by Linear Convection Equations with Spatially Heterogeneous Nonlocal Interactions Xiaoxuan YuYan XuQiang Du OriginalPaper 06 July 2022 Article: 59
Bernstein-Bézier Galerkin-Characteristics Finite Element Method for Convection-Diffusion Problems Mofdi El-AmraniAbdellah El-KacimiMohammed Seaid OriginalPaper Open access 06 July 2022 Article: 58
Robust Interior Penalty Discontinuous Galerkin Methods Zhaonan DongEmmanuil H. Georgoulis OriginalPaper 05 July 2022 Article: 57
Boundary Estimation from Point Clouds: Algorithms, Guarantees and Applications Jeff CalderSangmin ParkDejan Slepčev OriginalPaper 05 July 2022 Article: 56
Numerical Analysis of a Darcy-Forchheimer Model Coupled with the Heat Equation G. DeugoueJ. K. DjokoM. Mbehou OriginalPaper 05 July 2022 Article: 55
Numerical Approximation of a System of Hamilton–Jacobi–Bellman Equations Arising in Innovation Dynamics L’ubomír BaňasHerbert DawidXingang Wen OriginalPaper Open access 04 July 2022 Article: 54
Uniformly Accurate Nested Picard Iterative Integrators for the Klein-Gordon Equation in the Nonrelativistic Regime Yongyong CaiXuanxuan Zhou OriginalPaper 04 July 2022 Article: 53
Mesh-Robustness of an Energy Stable BDF2 Scheme with Variable Steps for the Cahn–Hilliard Model Hong-lin LiaoBingquan JiZhimin Zhang OriginalPaper 04 July 2022 Article: 52
Analysis of Pressure-Robust Embedded-Hybridized Discontinuous Galerkin Methods for the Stokes Problem Under Minimal Regularity Aaron Baier-ReinioSander RhebergenGarth N. Wells OriginalPaper 03 July 2022 Article: 51
Unisolvency for Polynomial Interpolation in Simplices with Symmetrical Nodal Distributions André L. MarchildonDavid W. Zingg OriginalPaper 02 July 2022 Article: 50
Randomized Newton’s Method for Solving Differential Equations Based on the Neural Network Discretization Qipin ChenWenrui Hao OriginalPaper 02 July 2022 Article: 49
Inverting Incomplete Fourier Transforms by a Sparse Regularization Model and Applications in Seismic Wavefield Modeling Tingting WuYuesheng Xu OriginalPaper 01 July 2022 Article: 48
An Interpolated Galerkin Finite Element Method for the Poisson Equation Tatyana SorokinaShangyou Zhang OriginalPaper 30 June 2022 Article: 47
Discrete Dynamical System Approaches for Boolean Polynomial Optimization Yi-Shuai NiuRoland Glowinski OriginalPaper 30 June 2022 Article: 46
Continuous/Discontinuous Galerkin Difference Discretizations of High-Order Differential Operators J. W. BanksB. Brett BucknerT. Hagstrom OriginalPaper 30 June 2022 Article: 45
Analysis of a Mixed DG Method for Stress-Velocity Formulation of the Stokes Equations Lina Zhao OriginalPaper 29 June 2022 Article: 44
Multiphysics Finite Element Method for Quasi-Static Thermo-Poroelasticity Yuxiang ChenZhihao Ge OriginalPaper 29 June 2022 Article: 43
An Interior Stochastic Gradient Method for a Class of Non-Lipschitz Optimization Problems Wanyou ChengXiao WangXiaojun Chen OriginalPaper 28 June 2022 Article: 42
Preconditioners with Symmetrized Techniques for Space Fractional Cahn-Hilliard Equations Xin HuangDongfang LiFan Zhang OriginalPaper 28 June 2022 Article: 41
A Constructive Algorithm for Disk Conformal Parameterizations Wei-Hung LiaoMei-Heng Yueh Original Research Open access 27 June 2022 Article: 40
Adaptive Integration of Nonlinear Evolution Equations on Tensor Manifolds Abram RodgersAlec DektorDaniele Venturi OriginalPaper Open access 27 June 2022 Article: 39
More Continuous Mass-Lumped Triangular Finite Elements Wim A. Mulder OriginalPaper Open access 26 June 2022 Article: 38
A Mass-Preserving Two-Step Lagrange–Galerkin Scheme for Convection-Diffusion Problems Kouta FutaiNiklas KolbeTasuku Suzuki OriginalPaper Open access 25 June 2022 Article: 37
A Sojourn-Based Approach to Semi-Markov Reinforcement Learning Giacomo AscioneSalvatore Cuomo OriginalPaper Open access 25 June 2022 Article: 36
Improved Architectures and Training Algorithms for Deep Operator Networks Sifan WangHanwen WangParis Perdikaris OriginalPaper 24 June 2022 Article: 35
Numerical Bifurcation Analysis of PDEs From Lattice Boltzmann Model Simulations: a Parsimonious Machine Learning Approach Evangelos GalarisGianluca FabianiConstantinos Siettos OriginalPaper Open access 24 June 2022 Article: 34
Spatially Adapted First and Second Order Regularization for Image Reconstruction: From an Image Surface Perspective Qiuxiang ZhongRyan Wen LiuYuping Duan OriginalPaper 22 June 2022 Article: 33
A New Multi-Domain Spectral Method for Korteweg-de Vries Equation on The Whole Line Tian-jun Wang OriginalPaper 21 June 2022 Article: 32
A Positivity Preserving, Energy Stable Finite Difference Scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes System Wenbin ChenJianyu JingXiaoming Wang OriginalPaper 18 June 2022 Article: 31
Efficient GPU Implementation of Multidimensional Incomplete Riemann Solvers for Hyperbolic Nonconservative Systems: Applications to Shallow Water Systems with Topography and Dry Areas Kleiton A. SchneiderJosé M. GallardoCipriano Escalante OriginalPaper 16 June 2022 Article: 30
