Operator Inference of Non-Markovian Terms for Learning Reduced Models from Partially Observed State Trajectories Wayne Isaac Tan UyBenjamin Peherstorfer OriginalPaper 13 August 2021 Article: 91
Meshless Symplectic and Multi-symplectic Local RBF Collocation Methods for Hamiltonian PDEs Shengliang Zhang OriginalPaper 13 August 2021 Article: 90
A Polynomial-Iteration Infeasible Interior-Point Algorithm with Arc-Search for Semidefinite optimization B. Kheirfam OriginalPaper 13 August 2021 Article: 89
A C0 Interior Penalty Finite Element Method for Flexoelectricity Jordi VenturaDavid CodonySonia Fernández-Méndez OriginalPaper 11 August 2021 Article: 88
A Rotated Characteristic Decomposition Technique for High-Order Reconstructions in Multi-dimensions Hua ShenMatteo Parsani OriginalPaper 11 August 2021 Article: 87
Spectrum-Free and Meshless Solvers of Parabolic PDEs Giuseppe Patané OriginalPaper 11 August 2021 Article: 86
Relaxed Forward–Backward Splitting Methods for Solving Variational Inclusions and Applications Prasit CholamjiakDang Van HieuYeol Je Cho OriginalPaper 09 August 2021 Article: 85
A Well-Balanced SPH-ALE Scheme for Shallow Water Applications Alberto Prieto-ArranzLuis RamírezXesús Nogueira OriginalPaper Open access 08 August 2021 Article: 84
Calculating Characteristic Roots of Multi-Delayed Systems with Accumulation Points via a Definite Integral Method Qi XuZaihua WangLi Cheng OriginalPaper 07 August 2021 Article: 83
Last-passage Monte Carlo Algorithm for Charge Density on a Conducting Spherical Surface Unjong YuYoung-Min LeeChi-Ok Hwang OriginalPaper 06 August 2021 Article: 82
A Two-Grid Combined Mixed Finite Element and Discontinuous Galerkin Method for an Incompressible Miscible Displacement Problem in Porous Media Jiming YangYifan Su OriginalPaper 06 August 2021 Article: 81
A Family of Two-Grid Partially Penalized Immersed Finite Element Methods for Semi-linear Parabolic Interface Problems Yang WangYanping ChenHuaming Yi OriginalPaper 06 August 2021 Article: 80
Registration-Based Model Reduction in Complex Two-Dimensional Geometries Tommaso TaddeiLei Zhang OriginalPaper 04 August 2021 Article: 79
H\(^2\)-Korn’s Inequality and the Nonconforming Elements for The Strain Gradient Elastic Model Hongliang LiPingbing MingHuiyu Wang OriginalPaper 04 August 2021 Article: 78
Recovery-based a Posteriori Error Analysis for Plate Bending Problems Yuwen Li OriginalPaper 03 August 2021 Article: 77
Analysis of Accurate and Stable Nonlinear Finite Volume Scheme for Anisotropic Diffusion Equations with Drift on Simplicial Meshes El Houssaine Quenjel OriginalPaper 03 August 2021 Article: 76
On Developing Piecewise Rational Mapping with Fine Regulation Capability for WENO Schemes Qin LiPan YanYancheng You OriginalPaper 03 August 2021 Article: 75
A Second Order Energy Stable BDF Numerical Scheme for the Swift–Hohenberg Equation Longzhao QiYanren Hou OriginalPaper 02 August 2021 Article: 74
Solving the Kolmogorov PDE by Means of Deep Learning Christian BeckSebastian BeckerArnulf Jentzen OriginalPaper 31 July 2021 Article: 73
FDTD Schemes for Maxwell’s Equations with Embedded Perfect Electric Conductors Based on the Correction Function Method Yann-Meing LawJean-Christophe Nave OriginalPaper 30 July 2021 Article: 72
Error Estimate of a Fully Discrete Finite Element Method for Incompressible Vector Potential Magnetohydrodynamic System Qianqian DingXiaonian LongShipeng Mao OriginalPaper 30 July 2021 Article: 71
Second-Order Convergence of the Linearly Extrapolated Crank–Nicolson Method for the Navier–Stokes Equations with \(\mathbf{H^1}\) Initial Data Buyang LiShu MaNa Wang OriginalPaper 30 July 2021 Article: 70
Second-Order SAV Schemes for the Nonlinear Schrödinger Equation and Their Error Analysis Beichuan DengJie ShenQingqu Zhuang OriginalPaper 30 July 2021 Article: 69
Error Estimates of a Continuous Galerkin Time Stepping Method for Subdiffusion Problem Yuyuan YanBernard A. EgwuYubin Yan OriginalPaper Open access 29 July 2021 Article: 68
A High Order Compact FD Framework for Elliptic BVPs Involving Singular Sources, Interfaces, and Irregular Domains Kejia PanDongdong HeZhilin Li OriginalPaper 29 July 2021 Article: 67
Computation of Optimal Linear Strong Stability Preserving Methods Via Adaptive Spectral Transformations of Poisson–Charlier Measures Rachid Ait-Haddou OriginalPaper 28 July 2021 Article: 66
A Barzilai–Borwein Gradient Algorithm for Spatio-Temporal Internet Traffic Data Completion via Tensor Triple Decomposition Yannan ChenXinzhen ZhangYanwei Xu OriginalPaper 28 July 2021 Article: 65
Projected Gradient Method Combined with Homotopy Techniques for Volume-Measure-Preserving Optimal Mass Transportation Problems Mei-Heng YuehTsung-Ming HuangShing-Tung Yau OriginalPaper 28 July 2021 Article: 64
Superconvergence Analysis of the Ultra-Weak Local Discontinuous Galerkin Method for One Dimensional Linear Fifth Order Equations Qi TaoWaixiang CaoZhimin Zhang OriginalPaper 26 July 2021 Article: 63
Superconvergence of Discontinuous Galerkin Methods for Elliptic Boundary Value Problems Limin Ma OriginalPaper 26 July 2021 Article: 62
Low-Speed Modification for the Genuinely Multidimensional Harten, Lax, van Leer and Einfeldt Scheme in Curvilinear Coordinates Feng QuDi SunJunqiang Bai OriginalPaper 26 July 2021 Article: 61
Numerical Approximation of the Two-Component PFC Models for Binary Colloidal Crystals: Efficient, Decoupled, and Second-Order Unconditionally Energy Stable Schemes Qi LiLiquan Mei OriginalPaper 22 July 2021 Article: 60
An Effective Finite Element Method with Singularity Reconstruction for Fractional Convection-diffusion Equation Taibai FuBeiping DuanZhoushun Zheng OriginalPaper 22 July 2021 Article: 59
Two L1 Schemes on Graded Meshes for Fractional Feynman-Kac Equation Minghua ChenSuzhen JiangWeiping Bu OriginalPaper 22 July 2021 Article: 58
Positivity-Preserving Well-Balanced Arbitrary Lagrangian–Eulerian Discontinuous Galerkin Methods for the Shallow Water Equations Weijie ZhangYinhua XiaYan Xu OriginalPaper 21 July 2021 Article: 57
Generalized Continuation Newton Methods and the Trust-Region Updating Strategy for the Underdetermined System Xin-long LuoHang Xiao OriginalPaper 20 July 2021 Article: 56
A Posteriori Error Estimates for Elliptic Eigenvalue Problems Using Auxiliary Subspace Techniques Stefano GianiLuka GrubišićJeffrey S. Ovall OriginalPaper 20 July 2021 Article: 55
Fast Huygens Sweeping Methods for a Class of Nonlocal Schrödinger Equations Kaho HoShingyu LeungJianliang Qian OriginalPaper 20 July 2021 Article: 54
On the Computation of Recurrence Coefficients for Univariate Orthogonal Polynomials Zexin LiuAkil Narayan OriginalPaper 20 July 2021 Article: 53
Conforming, Nonconforming and DG Methods for the Stationary Generalized Burgers-Huxley Equation Arbaz KhanManil T. MohanRicardo Ruiz-Baier OriginalPaper 20 July 2021 Article: 52
A New Discontinuous Galerkin Method for Elastic Waves with Physically Motivated Numerical Fluxes Kenneth DuruLeonhard RannabauerHeiner Igel OriginalPaper 20 July 2021 Article: 51
Strong Convergence of the Modified Inertial Extragradient Method with Line-Search Process for Solving Variational Inequality Problems in Hilbert Spaces Zhongbing XieGang CaiQiao-Li Dong OriginalPaper 19 July 2021 Article: 50
A Second-Order Fast Huygens Sweeping Method for Time-Dependent Schrödinger Equations with Perfectly Matched Layers Yijin GaoJay MayfieldSongting Luo OriginalPaper 17 July 2021 Article: 49