1. 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

   

2. An Efficient Finite Volume Method for Nonlinear Distributed-Order Space-Fractional Diffusion Equations in Three Space Dimensions

   • Xiangcheng Zheng
   • Huan Liu
   • Hongfei Fu

   OriginalPaper 24 May 2019 Pages: 1395 - 1418

   

3. Non-backtracking PageRank

   • Francesca Arrigo
   • Desmond J. Higham
   • Vanni Noferini

   OriginalPaper Open access 01 June 2019 Pages: 1419 - 1437

   

4. Accelerated Subgradient Extragradient Methods for Variational Inequality Problems

   • Duong Viet Thong
   • Nguyen The Vinh
   • Yeol Je Cho

   OriginalPaper 11 June 2019 Pages: 1438 - 1462

   

5. A New ADER Method Inspired by the Active Flux Method

   • Christiane Helzel
   • David Kerkmann
   • Leonardo Scandurra

   OriginalPaper Open access 20 June 2019 Pages: 1463 - 1497

   

6. A Multi-modes Monte Carlo Interior Penalty Discontinuous Galerkin Method for the Time-Harmonic Maxwell’s Equations with Random Coefficients

   • Xiaobing Feng
   • Junshan Lin
   • Cody Lorton

   OriginalPaper 15 June 2019 Pages: 1498 - 1528

   

7. 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

   

8. Diagnosing Forward Operator Error Using Optimal Transport

   • Michael A. Puthawala
   • Cory D. Hauck
   • Stanley J. Osher

   OriginalPaper 03 July 2019 Pages: 1549 - 1576

   

9. Analysis and Approximation of a Vorticity–Velocity–Pressure Formulation for the Oseen Equations

   • V. Anaya
   • A. Bouharguane
   • H. Torres

   OriginalPaper Open access 22 June 2019 Pages: 1577 - 1606

   

10. A High-Order Method with a Temporal Nonuniform Mesh for a Time-Fractional Benjamin–Bona–Mahony Equation

    • Pin Lyu
    • Seakweng Vong

    OriginalPaper 20 June 2019 Pages: 1607 - 1628

11. A Linearly Implicit and Local Energy-Preserving Scheme for the Sine-Gordon Equation Based on the Invariant Energy Quadratization Approach

    • Chaolong Jiang
    • Wenjun Cai
    • Yushun Wang

    OriginalPaper 01 July 2019 Pages: 1629 - 1655

    

12. Energy Stable Semi-implicit Schemes for Allen–Cahn–Ohta–Kawasaki Model in Binary System

    • Xiang Xu
    • Yanxiang Zhao

    OriginalPaper 25 June 2019 Pages: 1656 - 1680

    

13. A High-Order Kernel-Free Boundary Integral Method for the Biharmonic Equation on Irregular Domains

    • Yaning Xie
    • Wenjun Ying
    • Wei-Cheng Wang

    OriginalPaper 05 July 2019 Pages: 1681 - 1699

    

14. An a Posteriori Error Estimate for Scanning Electron Microscope Simulation with Adaptive Mesh Refinement

    • William F. Mitchell
    • John S. Villarrubia

    OriginalPaper 08 July 2019 Pages: 1700 - 1715

    

15. Optimal Convergence Analysis of a Second Order Scheme for a Thin Film Model Without Slope Selection

    • Wenbin Chen
    • Yichao Zhang
    • Yue Yan

    OriginalPaper 28 June 2019 Pages: 1716 - 1730

16. Tensor-Train Format Solution with Preconditioned Iterative Method for High Dimensional Time-Dependent Space-Fractional Diffusion Equations with Error Analysis

    • Lot-Kei Chou
    • Siu-Long Lei

    OriginalPaper 25 June 2019 Pages: 1731 - 1763

    

17. The Optimal Convergence Rate of Monotone Schemes for Conservation Laws in the Wasserstein Distance

    • Adrian M. Ruf
    • Espen Sande
    • Susanne Solem

    OriginalPaper 28 June 2019 Pages: 1764 - 1776

    

18. A Hybrid Mass Transport Finite Element Method for Keller–Segel Type Systems

    • J. A. Carrillo
    • N. Kolbe
    • M. Lukáčová-Medvid’ová

    OriginalPaper Open access 27 June 2019 Pages: 1777 - 1804

    

19. The High-Order Mixed Mimetic Finite Difference Method for Time-Dependent Diffusion Problems

    • Gianmarco Manzini
    • Gianluca Maguolo
    • Mario Putti

    OriginalPaper 11 July 2019 Pages: 1805 - 1830

    

20. Correction to: The High-Order Mixed Mimetic Finite Difference Method for Time-Dependent Diffusion Problems

    • Gianmarco Manzini
    • Gianluca Maguolo
    • Mario Putti

    Correction 16 August 2019 Pages: 1831 - 1831

21. Compact Approximate Taylor Methods for Systems of Conservation Laws

    • H. Carrillo
    • C. Parés

    Review paper 10 July 2019 Pages: 1832 - 1866

    

22. Higher Order Cut Finite Elements for the Wave Equation

    • Simon Sticko
    • Gunilla Kreiss

    OriginalPaper Open access 17 July 2019 Pages: 1867 - 1887

    

23. Low-Rank Tensor Completion Based on Log-Det Rank Approximation and Matrix Factorization

    • Chengfei Shi
    • Zhengdong Huang
    • Tifan Xiong

    OriginalPaper 15 July 2019 Pages: 1888 - 1912

    

24. A Conforming DG Method for Linear Nonlocal Models with Integrable Kernels

    • Qiang Du
    • Xiaobo Yin

    OriginalPaper 11 July 2019 Pages: 1913 - 1935

    

25. A Comparison of the Explicit and Implicit Hybridizable Discontinuous Galerkin Methods for Nonlinear Shallow Water Equations

    • Ali Samii
    • Kazbek Kazhyken
    • Clint Dawson

    OriginalPaper 13 July 2019 Pages: 1936 - 1956

    

26. Extension of Tensor-Product Generalized and Dense-Norm Summation-by-Parts Operators to Curvilinear Coordinates

    • David C. Del Rey Fernández
    • Pieter D. Boom
    • David W. Zingg

    OriginalPaper 22 July 2019 Pages: 1957 - 1996

    

27. Correction to: ALORA: Affine Low-Rank Approximations

    • Alan Ayala
    • Xavier Claeys
    • Laura Grigori

    Correction 14 February 2019 Pages: 1997 - 1997