1. On Long Time Error Bounds for the Wave Equation on Second Order Form

   • Jan Nordström
   • Hannes Frenander

   OriginalPaper Open access 17 February 2018 Pages: 1327 - 1336

   

2. Optimal Monotonicity-Preserving Perturbations of a Given Runge–Kutta Method

   • Inmaculada Higueras
   • David I. Ketcheson
   • Tihamér A. Kocsis

   OriginalPaper 14 February 2018 Pages: 1337 - 1369

   

3. High-Order Perturbation of Surfaces Algorithms for the Simulation of Localized Surface Plasmon Resonances in Two Dimensions

   • David P. Nicholls
   • Xin Tong

   OriginalPaper 14 February 2018 Pages: 1370 - 1395

   

4. Linear Feature Transform and Enhancement of Classification on Deep Neural Network

   • Penghang Yin
   • Jack Xin
   • Yingyong Qi

   OriginalPaper 23 February 2018 Pages: 1396 - 1406

   

5. An Improved Eulerian Approach for the Finite Time Lyapunov Exponent

   • Guoqiao You
   • Shingyu Leung

   OriginalPaper 17 February 2018 Pages: 1407 - 1435

   

6. A Superconvergent HDG Method for Distributed Control of Convection Diffusion PDEs

   • Weiwei Hu
   • Jiguang Shen
   • Xiaobo Zheng

   OriginalPaper 26 February 2018 Pages: 1436 - 1457

7. Numerical Analysis of an Artificial Compression Method for Magnetohydrodynamic Flows at Low Magnetic Reynolds Numbers

   • Yao Rong
   • William Layton
   • Haiyun Zhao

   OriginalPaper 01 March 2018 Pages: 1458 - 1483

   

8. A Hybridizable Discontinuous Galerkin Method for the Navier–Stokes Equations with Pointwise Divergence-Free Velocity Field

   • Sander Rhebergen
   • Garth N. Wells

   OriginalPaper 17 February 2018 Pages: 1484 - 1501

   

9. WSGD-OSC Scheme for Two-Dimensional Distributed Order Fractional Reaction–Diffusion Equation

   • Xuehua Yang
   • Haixiang Zhang
   • Da Xu

   OriginalPaper 17 February 2018 Pages: 1502 - 1520

10. Non-unified Compact Residual-Distribution Methods for Scalar Advection–Diffusion Problems

    • Vishal Singh
    • Hossain Chizari
    • Appendix by Rémi Abgrall

    OriginalPaper 05 March 2018 Pages: 1521 - 1546

    

11. Discontinuous Galerkin Method with Staggered Hybridization for a Class of Nonlinear Stokes Equations

    • Jie Du
    • Eric T. Chung
    • Xiao-Ping Wang

    OriginalPaper 09 March 2018 Pages: 1547 - 1577

    

12. The Partial Fast Fourier Transform

    • John C. Bowman
    • Zayd Ghoggali

    OriginalPaper 22 February 2018 Pages: 1578 - 1593

    

13. A Fully Discrete Fast Fourier–Galerkin Method Solving a Boundary Integral Equation for the Biharmonic Equation

    • Ying Jiang
    • Bo Wang
    • Yuesheng Xu

    OriginalPaper 26 March 2018 Pages: 1594 - 1632

    

14. Supercloseness of Continuous Interior Penalty Methods on Shishkin Triangular Meshes and Hybrid Meshes for Singularly Perturbed Problems with Characteristic Layers

    • Jin Zhang
    • Xiaowei Liu

    OriginalPaper 23 February 2018 Pages: 1633 - 1656

    

15. Hybridized Discontinuous Galerkin Method for Elliptic Interface Problems: Error Estimates Under Low Regularity Assumptions of Solutions

    • Masaru Miyashita
    • Norikazu Saito

    OriginalPaper 27 February 2018 Pages: 1657 - 1673

    

16. A Stabilized Separation of Variables Method for the Modified Biharmonic Equation

    • T. Askham

    OriginalPaper 09 March 2018 Pages: 1674 - 1697

    

17. A New Primal–Dual Algorithm for Minimizing the Sum of Three Functions with a Linear Operator

    • Ming Yan

    OriginalPaper 02 March 2018 Pages: 1698 - 1717

    

18. A Globally and Quadratically Convergent Algorithm for Solving Multilinear Systems with \({{\mathcal {M}}}\)-tensors

    • Hongjin He
    • Chen Ling
    • Guanglu Zhou

    OriginalPaper 08 March 2018 Pages: 1718 - 1741

    

19. An Energy Stable Approach for Discretizing Hyperbolic Equations with Nonconforming Discontinuous Galerkin Methods

    • Jeremy E. Kozdon
    • Lucas C. Wilcox

    OriginalPaper 10 March 2018 Pages: 1742 - 1784

    

20. High Accurate Finite Differences Based on RBF Interpolation and its Application in Solving Differential Equations

    • Renzhong Feng
    • Junna Duan

    OriginalPaper 09 March 2018 Pages: 1785 - 1812

    

21. An Adaptive Finite Element Method for the Diffraction Grating Problem with PML and Few-Mode DtN Truncations

    • Weiqi Zhou
    • Haijun Wu

    OriginalPaper 05 March 2018 Pages: 1813 - 1838

    

22. Monotone Mixed Finite Difference Scheme for Monge–Ampère Equation

    • Yangang Chen
    • Justin W. L. Wan
    • Jessey Lin

    OriginalPaper 03 March 2018 Pages: 1839 - 1867

    

23. Asymptotically Exact Posteriori Error Estimates for the Local Discontinuous Galerkin Method Applied to Nonlinear Convection–Diffusion Problems

    • Mahboub Baccouch

    OriginalPaper 03 March 2018 Pages: 1868 - 1904

    

24. A Second Order Energy Stable Linear Scheme for a Thin Film Model Without Slope Selection

    • Weijia Li
    • Wenbin Chen
    • Ruijian He

    OriginalPaper 10 March 2018 Pages: 1905 - 1937

    

25. A Uniquely Solvable, Energy Stable Numerical Scheme for the Functionalized Cahn–Hilliard Equation and Its Convergence Analysis

    • Wenqiang Feng
    • Zhen Guan
    • Ying Chen

    OriginalPaper 06 March 2018 Pages: 1938 - 1967