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A Descent Scheme for Thick Elastic Curves with Self-contact and Container Constraints Shawn W. Walker OriginalPaper 20 March 2024 Article: 29
Many-Stage Optimal Stabilized Runge–Kutta Methods for Hyperbolic Partial Differential Equations Daniel DoehringGregor J. GassnerManuel Torrilhon OriginalPaper Open access 16 March 2024 Article: 28
A New Positivity-Preserving Technique for High-Order Schemes to Solve Extreme Problems of Euler Equations on Structured Meshes Yan TanQiang ZhangJun Zhu OriginalPaper 15 March 2024 Article: 27
A Second-Order Exponential Time Differencing Multi-step Energy Stable Scheme for Swift–Hohenberg Equation with Quadratic–Cubic Nonlinear Term Ming CuiYiyi NiuZhen Xu OriginalPaper 15 March 2024 Article: 26
Numerical Modeling and Open-Source Implementation of Variational Partition-of-Unity Localizations of Space-Time Dual-Weighted Residual Estimators for Parabolic Problems J. P. ThieleT. Wick OriginalPaper Open access 15 March 2024 Article: 25
An iDCA with Sieving Strategy for PDE-Constrained Optimization Problems with \(L^{1-2}\)-Control Cost Yu ZhangXiaoliang SongMingcai Ding OriginalPaper 14 March 2024 Article: 24
The Nonconforming Virtual Element Method with Curved Edges Lourenço Beirão da VeigaYi LiuAlessandro Russo OriginalPaper 11 March 2024 Article: 23
A Reduced Order Model for Domain Decompositions with Non-conforming Interfaces Elena ZapponAndrea ManzoniAlfio Quarteroni OriginalPaper 11 March 2024 Article: 22
Pointwise Error Estimates of Numerical Solutions to Linear Quadratic Optimal Control Problems S. HofmannA. Borzì OriginalPaper Open access 11 March 2024 Article: 21
Fast SVD-Based Linear Elastic Eigenvalue Problem Solver for Band Structures of 3D Phononic Crystals Xing-Long LyuHeng TianWen-Wei Lin OriginalPaper 11 March 2024 Article: 20
Discontinuous Galerkin Method Based on the Reduced Space for the Nonlinear Convection–Diffusion–Reaction Equation Shijin HouYinhua Xia OriginalPaper 08 March 2024 Article: 19
Variable-Order Fractional Laplacian and its Accurate and Efficient Computations with Meshfree Methods Yixuan WuYanzhi Zhang OriginalPaper 05 March 2024 Article: 18
The Regularization Continuation Method for Optimization Problems with Nonlinear Equality Constraints Xin-long LuoHang XiaoSen Zhang OriginalPaper 05 March 2024 Article: 17
Correction to : An Oscillation-Free Bound-Preserving Discontinuous Galerkin Method for Multi-Component Chemically Reacting Flows Jie DuYong LiuYang Yang Correction 04 March 2024 Article: 15
Active Flux Methods for Hyperbolic Systems Using the Method of Bicharacteristics Erik ChudzikChristiane HelzelMária Lukáčová-Medvid’ová OriginalPaper Open access 04 March 2024 Article: 16
A Convergent Numerical Algorithm for \(\alpha \)-Dissipative Solutions of the Hunter–Saxton Equation Thomas ChristiansenKatrin GrunertSusanne Solem OriginalPaper Open access 02 March 2024 Article: 14
Correction to: The Hermite Finite Volume Method with Global Conservation Law Xinyuan ZhangXiang Wang Correction 28 February 2024 Article: 13
Anderson Acceleration as a Krylov Method with Application to Convergence Analysis Hans De SterckYunhui HeOliver A. Krzysik OriginalPaper 28 February 2024 Article: 12
A Modified Rotated-\(Q_1\) Finite Element for the Stokes Equations on Quadrilateral and Hexahedral Meshes Liwei XuXuejun XuShangyou Zhang OriginalPaper 26 February 2024 Article: 11
Low-Regularity Integrator for the Davey–Stewartson II System Cui NingXiaomin KouYaohong Wang OriginalPaper 26 February 2024 Article: 10
Finite Difference Time Domain Methods for the Dirac Equation Coupled with the Chern–Simons Gauge Field Jeongho KimBora Moon OriginalPaper 26 February 2024 Article: 9
An Oscillation-Free Spectral Volume Method for Hyperbolic Conservation Laws Xinyue ZhangLiang PanWaixiang Cao OriginalPaper 26 February 2024 Article: 8
Multi-Linear Pseudo-PageRank for Hypergraph Partitioning Yannan ChenWen LiJingya Chang OriginalPaper 26 February 2024 Article: 7
An Exponential Time Differencing Runge–Kutta Method ETDRK32 for Phase Field Models Weichen CaoHengli YangWenbin Chen OriginalPaper 26 February 2024 Article: 6
Parallel Kinetic Schemes for Conservation Laws, with Large Time Steps Pierre GerhardPhilippe HelluyBruno Weber OriginalPaper 24 February 2024 Article: 5
Quantifying Measurement-Induced Disturbance to Distinguish Correlations as Classical or Quantum Yu-Chen ShuBing-Ze LuMatthew M. Lin OriginalPaper 23 February 2024 Article: 4
Haar-Like Wavelets on Hierarchical Trees Rick ArchibaldBen Whitney OriginalPaper 22 February 2024 Article: 3
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A Conservative Eulerian–Lagrangian Runge–Kutta Discontinuous Galerkin Method for Linear Hyperbolic System with Large Time Stepping Xue HongJing-Mei Qiu OriginalPaper 17 February 2024 Article: 70
A Distributed Block Chebyshev-Davidson Algorithm for Parallel Spectral Clustering Qiyuan PangHaizhao Yang OriginalPaper 17 February 2024 Article: 69
A New S-M Limiter Entropy Stable Scheme Based on Moving Mesh Method for Ideal MHD and SWMHD Equations Mengqing ZhaiSupei ZhengMangmang Jian OriginalPaper 16 February 2024 Article: 68
Convergence and Superconvergence Analysis of a Nonconforming Finite Element Variable-Time-Step BDF2 Implicit Scheme for Linear Reaction-Diffusion Equations Lifang PeiYifan WeiJiwei Zhang OriginalPaper 14 February 2024 Article: 67
Higher-Order Finite Element Methods for the Nonlinear Helmholtz Equation Barbara Verfürth OriginalPaper Open access 14 February 2024 Article: 66
A Robust and High Precision Algorithm for Elastic Scattering Problems from Cornered Domains Jianan YaoBaoling XieJun Lai OriginalPaper 14 February 2024 Article: 65
Sampling and Change of Measure for Monte Carlo Integration on Simplices Chenxiao SongReiichiro Kawai OriginalPaper Open access 13 February 2024 Article: 64
A Rapid Numerical Method for the Mullins–Sekerka Flow with Application to Contact Angle Problems Tokuhiro Eto OriginalPaper Open access 13 February 2024 Article: 63
An Entropy Stable Discontinuous Galerkin Method for the Two-Layer Shallow Water Equations on Curvilinear Meshes Patrick ErsingAndrew R. Winters OriginalPaper Open access 10 February 2024 Article: 62
Second-Order Three-Scale Asymptotic Analysis and Algorithms for Steklov Eigenvalue Problems in Composite Domain with Hierarchical Cavities Shuyu YeQiang MaZhihui Li OriginalPaper 08 February 2024 Article: 61
The Helmholtz Equation with Uncertainties in the Wavenumber Roland PulchOlivier Sète OriginalPaper Open access 05 February 2024 Article: 60
A Positivity-Preserving and Robust Fast Solver for Time-Fractional Convection–Diffusion Problems Boyang YuYonghai LiJiangguo Liu OriginalPaper 05 February 2024 Article: 59
Modeling Excitable Cells with the EMI Equations: Spectral Analysis and Iterative Solution Strategy Pietro BenedusiPaola FerrariStefano Serra-Capizzano OriginalPaper Open access 04 February 2024 Article: 58
Template-Based Image Reconstruction Facing Different Topologies Sebastian NeumayerAntonia Topalovic OriginalPaper Open access 03 February 2024 Article: 57
A Dimensional-Splitting Weak Galerkin Finite Element Method for 2D Time-Fractional Diffusion Equation Aniruddha SealSrinivasan NatesanSuayip Toprakseven OriginalPaper 01 February 2024 Article: 56
Double Precision is not Necessary for LSQR for Solving Discrete Linear Ill-Posed Problems Haibo Li OriginalPaper 01 February 2024 Article: 55
An Aggregation-Based Two-Grid Method for Multilevel Block Toeplitz Linear Systems Chengtao AnYangfeng Su OriginalPaper 27 January 2024 Article: 54
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