1. A Numerically Efficient Dissipation-Preserving Implicit Method for a Nonlinear Multidimensional Fractional Wave Equation

   • Jorge E. Macías-Díaz

   OriginalPaper 08 March 2018 Pages: 1 - 26

   

2. The Unstructured Mesh Finite Element Method for the Two-Dimensional Multi-term Time–Space Fractional Diffusion-Wave Equation on an Irregular Convex Domain

   • Wenping Fan
   • Xiaoyun Jiang
   • Vo Anh

   OriginalPaper 14 March 2018 Pages: 27 - 52

   

3. A Least-Squares/Relaxation Method for the Numerical Solution of the Three-Dimensional Elliptic Monge–Ampère Equation

   • Alexandre Caboussat
   • Roland Glowinski
   • Dimitrios Gourzoulidis

   OriginalPaper Open access 22 March 2018 Pages: 53 - 78

   

4. An Efficient Algorithm for Matrix-Valued and Vector-Valued Optimal Mass Transport

   • Yongxin Chen
   • Eldad Haber
   • Allen Tannenbaum

   OriginalPaper 16 March 2018 Pages: 79 - 100

   

5. MultiGrid Preconditioners for Mixed Finite Element Methods of the Vector Laplacian

   • Long Chen
   • Yongke Wu
   • Jie Zhou

   OriginalPaper 21 March 2018 Pages: 101 - 128

   

6. Computing the Matrix Mittag-Leffler Function with Applications to Fractional Calculus

   • Roberto Garrappa
   • Marina Popolizio

   OriginalPaper 22 March 2018 Pages: 129 - 153

   

7. The BR1 Scheme is Stable for the Compressible Navier–Stokes Equations

   • Gregor J. Gassner
   • Andrew R. Winters
   • David A. Kopriva

   OriginalPaper 05 April 2018 Pages: 154 - 200

8. Correction to: The BR1 Scheme is Stable for the Compressible Navier–Stokes Equations

   • Gregor J. Gassner
   • Andrew R. Winters
   • David A. Kopriva

   Correction 18 June 2018 Pages: 201 - 203

   

9. Optimization with Respect to Order in a Fractional Diffusion Model: Analysis, Approximation and Algorithmic Aspects

   • Harbir Antil
   • Enrique Otárola
   • Abner J. Salgado

   OriginalPaper 28 March 2018 Pages: 204 - 224

   

10. Stability and Convergence Analysis of a Class of Continuous Piecewise Polynomial Approximations for Time-Fractional Differential Equations

    • Han Zhou
    • Paul Andries Zegeling

    OriginalPaper Open access 02 May 2018 Pages: 225 - 262

    

11. High Order Multi-dimensional Characteristics Tracing for the Incompressible Euler Equation and the Guiding-Center Vlasov Equation

    • Tao Xiong
    • Giovanni Russo
    • Jing-Mei Qiu

    OriginalPaper 12 April 2018 Pages: 263 - 282

    

12. A Stable Fast Time-Stepping Method for Fractional Integral and Derivative Operators

    • Fanhai Zeng
    • Ian Turner
    • Kevin Burrage

    OriginalPaper 26 April 2018 Pages: 283 - 307

    

13. Finite Element Approximation for the Fractional Eigenvalue Problem

    • Juan Pablo Borthagaray
    • Leandro M. Del Pezzo
    • Sandra Martínez

    OriginalPaper 21 April 2018 Pages: 308 - 329

    

14. High Spatial Order Energy Stable FDTD Methods for Maxwell’s Equations in Nonlinear Optical Media in One Dimension

    • Vrushali A. Bokil
    • Yingda Cheng
    • Puttha Sakkaplangkul

    OriginalPaper 24 April 2018 Pages: 330 - 371

    

15. Dispersion Properties of Explicit Finite Element Methods for Wave Propagation Modelling on Tetrahedral Meshes

    • S. Geevers
    • W. A. Mulder
    • J. J. W. van der Vegt

    OriginalPaper Open access 20 April 2018 Pages: 372 - 396

    

16. Curvilinear Mesh Adaptation Using Radial Basis Function Interpolation and Smoothing

    • Vidhi Zala
    • Varun Shankar
    • Robert M. Kirby

    OriginalPaper 19 April 2018 Pages: 397 - 418

    

17. A Robust Numerical Method for the Random Interface Grating Problem via Shape Calculus, Weak Galerkin Method, and Low-Rank Approximation

    • Gang Bao
    • Yanzhao Cao
    • Kai Zhang

    OriginalPaper 23 April 2018 Pages: 419 - 442

    

18. Fully Computable a Posteriori Error Bounds for Hybridizable Discontinuous Galerkin Finite Element Approximations

    • Mark Ainsworth
    • Guosheng Fu

    OriginalPaper 23 April 2018 Pages: 443 - 466

    

19. A Mixed Discontinuous Galerkin Method Without Interior Penalty for Time-Dependent Fourth Order Problems

    • Hailiang Liu
    • Peimeng Yin

    OriginalPaper 13 June 2018 Pages: 467 - 501

    

20. A Hybrid Staggered Discontinuous Galerkin Method for KdV Equations

    • Hee Jun Yang
    • Hyea Hyun Kim

    OriginalPaper 23 April 2018 Pages: 502 - 523

    

21. A Sparse Grid Stochastic Collocation Upwind Finite Volume Element Method for the Constrained Optimal Control Problem Governed by Random Convection Diffusion Equations

    • Liang Ge
    • Lianhai Wang
    • Yanzhen Chang

    OriginalPaper 26 April 2018 Pages: 524 - 551

    

22. Hybrid Optimized Low-Dissipation and Adaptive MUSCL Reconstruction Technique for Hyperbolic Conservation Laws

    • Jie Wu
    • Yuan-yuan He
    • Yi-yu Han

    OriginalPaper 23 April 2018 Pages: 552 - 578

    

23. Shock Regularization with Smoothness-Increasing Accuracy-Conserving Dirac-Delta Polynomial Kernels

    • B. W. Wissink
    • G. B. Jacobs
    • E. T. A. van der Weide

    OriginalPaper 30 April 2018 Pages: 579 - 596

    

24. PCBC: Quasiconformality of Point Cloud Mappings

    • Tingwei Meng
    • Lok Ming Lui

    OriginalPaper 15 May 2018 Pages: 597 - 633

    

25. A Linear Implicit Finite Difference Discretization of the Schrödinger–Hirota Equation

    • Georgios E. Zouraris

    OriginalPaper 28 April 2018 Pages: 634 - 656

    

26. Efficient Spectral Methods for Some Singular Eigenvalue Problems

    • Suna Ma
    • Huiyuan Li
    • Zhimin Zhang

    OriginalPaper 17 May 2018 Pages: 657 - 688