1. The Relationships Between Chebyshev, Legendre and Jacobi Polynomials: The Generic Superiority of Chebyshev Polynomials and Three Important Exceptions

   • John P. Boyd
   • Rolfe Petschek

   OriginalPaper 19 July 2013 Pages: 1 - 27

   

2. Efficient and Generic Algorithm for Rigorous Integration Forward in Time of dPDEs: Part I

   • Jacek Cyranka

   OriginalPaper Open access 25 July 2013 Pages: 28 - 52

   

3. Constraint-Free Adaptive FEMs on Quadrilateral Nonconforming Meshes

   • Xuying Zhao
   • Zhong-Ci Shi
   • Qiang Du

   OriginalPaper 31 August 2013 Pages: 53 - 79

   

4. Hydrodynamics in Porous Media: A Finite Volume Lattice Boltzmann Study

   • Ahad Zarghami
   • Chiara Biscarini
   • Stefano Ubertini

   OriginalPaper 19 July 2013 Pages: 80 - 103

   

5. Error Analysis of a Compact ADI Scheme for the 2D Fractional Subdiffusion Equation

   • Ya-nan Zhang
   • Zhi-zhong Sun

   OriginalPaper 25 July 2013 Pages: 104 - 128

6. Local Discontinuous Galerkin Methods for One-Dimensional Second Order Fully Nonlinear Elliptic and Parabolic Equations

   • Xiaobing Feng
   • Thomas Lewis

   OriginalPaper 17 August 2013 Pages: 129 - 157

   

7. Optimal Point-Wise Error Estimate of a Compact Difference Scheme for the Coupled Gross–Pitaevskii Equations in One Dimension

   • Tingchun Wang

   OriginalPaper 31 July 2013 Pages: 158 - 186

   

8. Comparison Between Reduced Basis and Stochastic Collocation Methods for Elliptic Problems

   • Peng Chen
   • Alfio Quarteroni
   • Gianluigi Rozza

   OriginalPaper 09 August 2013 Pages: 187 - 216

   

9. HDG Methods for Naghdi Arches

   • Fatih Celiker
   • Li Fan

   OriginalPaper 11 August 2013 Pages: 217 - 246

   

10. Source Estimation by Full Wave Form Inversion

    • Björn Sjögreen
    • N. Anders Petersson

    OriginalPaper 07 August 2013 Pages: 247 - 276