Solving Elliptic PDE’s on Domains with Curved Boundaries with an Immersed Penalized Boundary Method Larry L. Schumaker OriginalPaper 24 May 2019 Pages: 1369 - 1394
An Efficient Finite Volume Method for Nonlinear Distributed-Order Space-Fractional Diffusion Equations in Three Space Dimensions Xiangcheng ZhengHuan LiuHongfei Fu OriginalPaper 24 May 2019 Pages: 1395 - 1418
Non-backtracking PageRank Francesca ArrigoDesmond J. HighamVanni Noferini OriginalPaper Open access 01 June 2019 Pages: 1419 - 1437
Accelerated Subgradient Extragradient Methods for Variational Inequality Problems Duong Viet ThongNguyen The VinhYeol Je Cho OriginalPaper 11 June 2019 Pages: 1438 - 1462
A New ADER Method Inspired by the Active Flux Method Christiane HelzelDavid KerkmannLeonardo Scandurra OriginalPaper Open access 20 June 2019 Pages: 1463 - 1497
A Multi-modes Monte Carlo Interior Penalty Discontinuous Galerkin Method for the Time-Harmonic Maxwell’s Equations with Random Coefficients Xiaobing FengJunshan LinCody Lorton OriginalPaper 15 June 2019 Pages: 1498 - 1528
A Fractional Spectral Collocation for Solving Second Kind Nonlinear Volterra Integral Equations with Weakly Singular Kernels Haotao Cai OriginalPaper 12 June 2019 Pages: 1529 - 1548
Diagnosing Forward Operator Error Using Optimal Transport Michael A. PuthawalaCory D. HauckStanley J. Osher OriginalPaper 03 July 2019 Pages: 1549 - 1576
Analysis and Approximation of a Vorticity–Velocity–Pressure Formulation for the Oseen Equations V. AnayaA. BouharguaneH. Torres OriginalPaper Open access 22 June 2019 Pages: 1577 - 1606
A High-Order Method with a Temporal Nonuniform Mesh for a Time-Fractional Benjamin–Bona–Mahony Equation Pin LyuSeakweng Vong OriginalPaper 20 June 2019 Pages: 1607 - 1628
A Linearly Implicit and Local Energy-Preserving Scheme for the Sine-Gordon Equation Based on the Invariant Energy Quadratization Approach Chaolong JiangWenjun CaiYushun Wang OriginalPaper 01 July 2019 Pages: 1629 - 1655
Energy Stable Semi-implicit Schemes for Allen–Cahn–Ohta–Kawasaki Model in Binary System Xiang XuYanxiang Zhao OriginalPaper 25 June 2019 Pages: 1656 - 1680
A High-Order Kernel-Free Boundary Integral Method for the Biharmonic Equation on Irregular Domains Yaning XieWenjun YingWei-Cheng Wang OriginalPaper 05 July 2019 Pages: 1681 - 1699
An a Posteriori Error Estimate for Scanning Electron Microscope Simulation with Adaptive Mesh Refinement William F. MitchellJohn S. Villarrubia OriginalPaper 08 July 2019 Pages: 1700 - 1715
Optimal Convergence Analysis of a Second Order Scheme for a Thin Film Model Without Slope Selection Wenbin ChenYichao ZhangYue Yan OriginalPaper 28 June 2019 Pages: 1716 - 1730
Tensor-Train Format Solution with Preconditioned Iterative Method for High Dimensional Time-Dependent Space-Fractional Diffusion Equations with Error Analysis Lot-Kei ChouSiu-Long Lei OriginalPaper 25 June 2019 Pages: 1731 - 1763
The Optimal Convergence Rate of Monotone Schemes for Conservation Laws in the Wasserstein Distance Adrian M. RufEspen SandeSusanne Solem OriginalPaper 28 June 2019 Pages: 1764 - 1776
A Hybrid Mass Transport Finite Element Method for Keller–Segel Type Systems J. A. CarrilloN. KolbeM. Lukáčová-Medvid’ová OriginalPaper Open access 27 June 2019 Pages: 1777 - 1804
The High-Order Mixed Mimetic Finite Difference Method for Time-Dependent Diffusion Problems Gianmarco ManziniGianluca MaguoloMario Putti OriginalPaper 11 July 2019 Pages: 1805 - 1830
Correction to: The High-Order Mixed Mimetic Finite Difference Method for Time-Dependent Diffusion Problems Gianmarco ManziniGianluca MaguoloMario Putti Correction 16 August 2019 Pages: 1831 - 1831
Compact Approximate Taylor Methods for Systems of Conservation Laws H. CarrilloC. Parés Review paper 10 July 2019 Pages: 1832 - 1866
Higher Order Cut Finite Elements for the Wave Equation Simon StickoGunilla Kreiss OriginalPaper Open access 17 July 2019 Pages: 1867 - 1887
Low-Rank Tensor Completion Based on Log-Det Rank Approximation and Matrix Factorization Chengfei ShiZhengdong HuangTifan Xiong OriginalPaper 15 July 2019 Pages: 1888 - 1912
A Conforming DG Method for Linear Nonlocal Models with Integrable Kernels Qiang DuXiaobo Yin OriginalPaper 11 July 2019 Pages: 1913 - 1935
A Comparison of the Explicit and Implicit Hybridizable Discontinuous Galerkin Methods for Nonlinear Shallow Water Equations Ali SamiiKazbek KazhykenClint Dawson OriginalPaper 13 July 2019 Pages: 1936 - 1956
Extension of Tensor-Product Generalized and Dense-Norm Summation-by-Parts Operators to Curvilinear Coordinates David C. Del Rey FernándezPieter D. BoomDavid W. Zingg OriginalPaper 22 July 2019 Pages: 1957 - 1996
Correction to: ALORA: Affine Low-Rank Approximations Alan AyalaXavier ClaeysLaura Grigori Correction 14 February 2019 Pages: 1997 - 1997