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An Immersed Raviart–Thomas Mixed Finite Element Method for Elliptic Interface Problems on Unfitted Meshes Haifeng Ji OriginalPaper 12 April 2022 Article: 66
Minimizing Aliasing in Multiple Frequency Harmonic Balance Computations Daniel LindbladChristian FreyNiklas Andersson OriginalPaper Open access 11 April 2022 Article: 65
A Numerical Construction of the Universal Feedback Control in Problems of Nonlinear Controls Under Disturbance Kuk Hwan RiKuk Hyon Sonu OriginalPaper 09 April 2022 Article: 64
DeepSets and Their Derivative Networks for Solving Symmetric PDEs Maximilien GermainMathieu LaurièreXavier Warin OriginalPaper 08 April 2022 Article: 63
Constrained High-Index Saddle Dynamics for the Solution Landscape with Equality Constraints Jianyuan YinZhen HuangLei Zhang OriginalPaper 08 April 2022 Article: 62
Moreau Envelope Augmented Lagrangian Method for Nonconvex Optimization with Linear Constraints Jinshan ZengWotao YinDing-Xuan Zhou OriginalPaper 07 April 2022 Article: 61
Cubic Regularized Newton Method for the Saddle Point Models: A Global and Local Convergence Analysis Kevin HuangJunyu ZhangShuzhong Zhang Review 06 April 2022 Article: 60
A Scalable Space-Time Domain Decomposition Approach for Solving Large Scale Nonlinear Regularized Inverse Ill Posed Problems in 4D Variational Data Assimilation Luisa D’AmoreEmil ConstantinescuLuisa Carracciuolo OriginalPaper Open access 06 April 2022 Article: 59
Two Optimization Approaches for Solving Split Variational Inclusion Problems with Applications Xiaojun MaHongwei LiuXiaoyin Li OriginalPaper 05 April 2022 Article: 58
The Convergence Analysis of Semi- and Fully-Discrete Projection-Decoupling Schemes for the Generalized Newtonian Models Guanyu Zhou OriginalPaper 05 April 2022 Article: 57
Discretization and Analysis of an Optimal Control of a Variable-Order Time-Fractional Diffusion Equation with Pointwise Constraints Xiangcheng ZhengHong Wang OriginalPaper 04 April 2022 Article: 56
Exponentially Convergent Trapezoidal Rules to Approximate Fractional Powers of Operators Lidia AcetoPaolo Novati OriginalPaper Open access 04 April 2022 Article: 55
Numerical Analysis of a Fast Finite Element Method for a Hidden-Memory Variable-Order Time-Fractional Diffusion Equation Jinhong JiaHong WangXiangcheng Zheng OriginalPaper 04 April 2022 Article: 54
Finite Element Approximations of a Class of Nonlinear Stochastic Wave Equations with Multiplicative Noise Yukun LiShuonan WuYulong Xing OriginalPaper 03 April 2022 Article: 53
An Energy-Based Summation-by-Parts Finite Difference Method For the Wave Equation in Second Order Form Siyang WangDaniel AppelöGunilla Kreiss OriginalPaper Open access 02 April 2022 Article: 52
RBF WENO Reconstructions with Adaptive Order and Applications to Conservation Laws Todd ArbogastChieh-Sen HuangMing-Hsien Kuo OriginalPaper 01 April 2022 Article: 51
Hierarchical Orthogonal Factorization: Sparse Least Squares Problems Abeynaya GnanasekaranEric Darve OriginalPaper 01 April 2022 Article: 50
Convergence Analysis of the Fully Discrete Hybridizable Discontinuous Galerkin Method for the Allen–Cahn Equation Based on the Invariant Energy Quadratization Approach Jiangxing WangKejia PanXiaofeng Yang OriginalPaper 01 April 2022 Article: 49
Equal Higher Order Analysis of an Unfitted Discontinuous Galerkin Method for Stokes Flow Systems Aikaterini AretakiEfthymios N. KaratzasGeorgios Katsouleas OriginalPaper 01 April 2022 Article: 48
Energy Stability of BDF Methods up to Fifth-Order for the Molecular Beam Epitaxial Model Without Slope Selection Yuanyuan KangHong-lin Liao OriginalPaper 01 April 2022 Article: 47
Variational Framework for Structure-Preserving Electromagnetic Particle-in-Cell Methods Martin Campos PintoKatharina KormannEric Sonnendrücker OriginalPaper Open access 31 March 2022 Article: 46
Error Estimates for Finite Element Approximation of Dirichlet Boundary Control for Stokes Equations in \(\mathbf{L} ^2(\Gamma )\) Kaiye ZhouWei Gong OriginalPaper 30 March 2022 Article: 45
A Nitsche Hybrid Multiscale Method with Non-matching Grids Pingbing MingSiqi Song OriginalPaper 30 March 2022 Article: 44
A Sharp \(\alpha \)-Robust \(L^\infty (H^1)\) Error Bound for a Time-Fractional Allen-Cahn Problem Discretised by the Alikhanov \(L2-1_\sigma \) Scheme and a Standard FEM Chaobao HuangMartin Stynes OriginalPaper 28 March 2022 Article: 43
Pointwise a Posteriori Error Analysis of a Finite Element Method for the Signorini Problem Rohit KhandelwalKamana Porwal OriginalPaper 28 March 2022 Article: 42
Efficient Reduced Basis Algorithm (ERBA) for Kernel-Based Approximation Francesco MarchettiEmma Perracchione OriginalPaper Open access 28 March 2022 Article: 41
Construction of discontinuity detectors using convolutional neural networks Shuyi WangZixu ZhouDongbin Xiu OriginalPaper 26 March 2022 Article: 40
A Multiscale Semi-Smooth Newton Method for Optimal Transport Yiyang LiuZaiwen WenWotao Yin OriginalPaper 25 March 2022 Article: 39
A Mixed Finite Element Discretization of Dynamical Optimal Transport Andrea NataleGabriele Todeschi OriginalPaper 25 March 2022 Article: 38
A Modified TENO Scheme with Improved Efficiency Zheng HongZhengyin YeKun Ye OriginalPaper 24 March 2022 Article: 37
An Extended-Rational Arnoldi Method for Large Matrix Exponential Evaluations A. H. BentbibM. El GhomariK. Jbilou OriginalPaper 24 March 2022 Article: 36
Non-linear System of Multi-order Fractional Differential Equations: Theoretical Analysis and a Robust Fractional Galerkin Implementation A. FaghihP. Mokhtary OriginalPaper 23 March 2022 Article: 35
Numerical Approximations for the Fractional Fokker–Planck Equation with Two-Scale Diffusion Jing SunWeihua DengDaxin Nie OriginalPaper 21 March 2022 Article: 34
Neighbor-Gradient Single-Pass Method for Solving Anisotropic Eikonal Equation Myong-Song HoJi-Song PakJu-Song Kim OriginalPaper 21 March 2022 Article: 33
Convergence Rates of Monotone Schemes for Conservation Laws for Data with Unbounded Total Variation Ulrik Skre FjordholmKjetil Olsen Lye OriginalPaper Open access 21 March 2022 Article: 32
An Efficient, Memory-Saving Approach for the Loewner Framework Davide PalittaSanda Lefteriu OriginalPaper Open access 16 March 2022 Article: 31
