1. Exact Boundary Condition for Semi-discretized Schrödinger Equation and Heat Equation in a Rectangular Domain

   • Gang Pang
   • Yibo Yang
   • Shaoqiang Tang

   OriginalPaper 24 December 2016 Pages: 1 - 13

   

2. Long-Time Simulations of Nonlinear Schrödinger-Type Equations using Step Size Exceeding Threshold of Numerical Instability

   • T. I. Lakoba

   OriginalPaper 31 December 2016 Pages: 14 - 48

   

3. Efficient Preconditioning of hp-FEM Matrices by Hierarchical Low-Rank Approximations

   • P. Gatto
   • J. S. Hesthaven

   OriginalPaper 06 January 2017 Pages: 49 - 80

   

4. Nonuniformly Weighted Schwarz Smoothers for Spectral Element Multigrid

   • Jörg Stiller

   OriginalPaper 30 December 2016 Pages: 81 - 96

   

5. A Posteriori Estimates Using Auxiliary Subspace Techniques

   • Harri Hakula
   • Michael Neilan
   • Jeffrey S. Ovall

   OriginalPaper 04 January 2017 Pages: 97 - 127

   

6. Spatial and Modal Superconvergence of the Discontinuous Galerkin Method for Linear Equations

   • N. Chalmers
   • L. Krivodonova

   OriginalPaper 13 January 2017 Pages: 128 - 146

   

7. Structure Preserving Preconditioners for Image Deblurring

   • Pietro Dell’Acqua
   • Marco Donatelli
   • Mariarosa Mazza

   OriginalPaper 09 January 2017 Pages: 147 - 171

   

8. Total Generalized Variation Based Denoising Models for Ultrasound Images

   • Myeongmin Kang
   • Myungjoo Kang
   • Miyoun Jung

   OriginalPaper 20 January 2017 Pages: 172 - 197

   

9. Boundary Treatment and Multigrid Preconditioning for Semi-Lagrangian Schemes Applied to Hamilton–Jacobi–Bellman Equations

   • Christoph Reisinger
   • Julen Rotaetxe Arto

   OriginalPaper Open access 13 January 2017 Pages: 198 - 230

   

10. Uniformly Convergent Cubic Nonconforming Element For Darcy–Stokes Problem

    • Shao-chun Chen
    • Li-na Dong
    • Ji-kun Zhao

    OriginalPaper 07 January 2017 Pages: 231 - 251

    

11. On the Development of a Nonprimitive Navier–Stokes Formulation Subject to Rigorous Implementation of a New Vorticity Integral Condition

    • Shuvam Sen
    • Tony W. H. Sheu

    OriginalPaper 07 January 2017 Pages: 252 - 290

    

12. Explicit and Implicit TVD Schemes for Conservation Laws with Caputo Derivatives

    • Jian-Guo Liu
    • Zheng Ma
    • Zhennan Zhou

    OriginalPaper 06 January 2017 Pages: 291 - 313

    

13. Error Boundedness of Discontinuous Galerkin Spectral Element Approximations of Hyperbolic Problems

    • David A. Kopriva
    • Jan Nordström
    • Gregor J. Gassner

    OriginalPaper 11 January 2017 Pages: 314 - 330

    

14. Nonconvex and Nonsmooth Optimization with Generalized Orthogonality Constraints: An Approximate Augmented Lagrangian Method

    • Hong Zhu
    • Xiaowei Zhang
    • Li-Zhi Liao

    OriginalPaper 20 January 2017 Pages: 331 - 372

    

15. Uniform Second Order Convergence of a Complete Flux Scheme on Unstructured 1D Grids for a Singularly Perturbed Advection–Diffusion Equation and Some Multidimensional Extensions

    • Patricio Farrell
    • Alexander Linke

    OriginalPaper 19 January 2017 Pages: 373 - 395

    

16. A Monolithic Approach to Fluid–Composite Structure Interaction

    • Davide Forti
    • Martina Bukac
    • Simone Deparis

    OriginalPaper 01 February 2017 Pages: 396 - 421

    

17. Finite Difference/Finite Element Methods for Distributed-Order Time Fractional Diffusion Equations

    • Weiping Bu
    • Aiguo Xiao
    • Wei Zeng

    OriginalPaper 19 January 2017 Pages: 422 - 441

18. Inflow-Based Gradient Finite Volume Method for a Propagation in a Normal Direction in a Polyhedron Mesh

    • Jooyoung Hahn
    • Karol Mikula
    • Branislav Basara

    OriginalPaper 24 January 2017 Pages: 442 - 465