1. Preface: Special Issue on Model Reduction

   • Tony Lelièvre
   • Simona Perotto
   • Luca Formaggia

   Editorial 04 September 2019 Pages: 1 - 2

2. Structure-Preserving Model-Reduction of Dissipative Hamiltonian Systems

   • Babak Maboudi Afkham
   • Jan S. Hesthaven

   OriginalPaper 05 February 2018 Pages: 3 - 21

   

3. Tensor Representation of Non-linear Models Using Cross Approximations

   • José V. Aguado
   • Domenico Borzacchiello
   • Antonio Huerta

   OriginalPaper 19 February 2019 Pages: 22 - 47

   

4. POD-Based Mixed-Integer Optimal Control of the Heat Equation

   • Bachmann Freya
   • Beermann Dennis
   • Volkwein Stefan

   OriginalPaper 09 February 2019 Pages: 48 - 75

   

5. An Improved Discrete Least-Squares/Reduced-Basis Method for Parameterized Elliptic PDEs

   • Max Gunzburger
   • Michael Schneier
   • Guannan Zhang

   OriginalPaper 27 February 2018 Pages: 76 - 91

   

6. On a Goal-Oriented Version of the Proper Generalized Decomposition Method

   • Kenan Kergrene
   • Ludovic Chamoin
   • Serge Prudhomme

   OriginalPaper 11 February 2019 Pages: 92 - 111

   

7. Reduced Basis Approaches for Parametrized Bifurcation Problems held by Non-linear Von Kármán Equations

   • Federico Pichi
   • Gianluigi Rozza

   OriginalPaper 15 July 2019 Pages: 112 - 135

   

8. A Weighted POD Method for Elliptic PDEs with Random Inputs

   • Luca Venturi
   • Francesco Ballarin
   • Gianluigi Rozza

   OriginalPaper 21 September 2018 Pages: 136 - 153

   

9. A Third Order Exponential Time Differencing Numerical Scheme for No-Slope-Selection Epitaxial Thin Film Model with Energy Stability

   • Kelong Cheng
   • Zhonghua Qiao
   • Cheng Wang

   OriginalPaper 12 July 2019 Pages: 154 - 185

   

10. A Group of CFL-Dependent Flux-Limiters to Control the Numerical Dissipation in Multi-stage Unsteady Calculation

    • Jiong Ren
    • Gang Wang
    • Mingsheng Ma

    OriginalPaper 29 July 2019 Pages: 186 - 216

    

11. A Second-Order Boundary Condition Capturing Method for Solving the Elliptic Interface Problems on Irregular Domains

    • Hyuntae Cho
    • Heejae Han
    • Myungjoo Kang

    OriginalPaper 26 July 2019 Pages: 217 - 251

    

12. A Contour-Integral Based Method with Schur–Rayleigh–Ritz Procedure for Generalized Eigenvalue Problems

    • Guojian Yin

    OriginalPaper 22 July 2019 Pages: 252 - 270

    

13. Balanced Iterative Solvers for Linear Nonsymmetric Systems and Nonlinear Systems with PDE Origins: Efficient Black-Box Stopping Criteria

    • Pranjal
    • David Silvester

    OriginalPaper 03 August 2019 Pages: 271 - 290

    

14. A Robust Multilevel Preconditioner Based on a Domain Decomposition Method for the Helmholtz Equation

    • Peipei Lu
    • Xuejun Xu

    OriginalPaper 31 July 2019 Pages: 291 - 311

    

15. Stokes Problem with Slip Boundary Conditions of Friction Type: Error Analysis of a Four-Field Mixed Variational Formulation

    • Mekki Ayadi
    • Hela Ayed
    • Taoufik Sassi

    OriginalPaper 30 July 2019 Pages: 312 - 341

    

16. A Nonconforming Nitsche’s Extended Finite Element Method for Stokes Interface Problems

    • Nan Wang
    • Jinru Chen

    OriginalPaper 02 August 2019 Pages: 342 - 374

    

17. Kernel-Based Meshless Collocation Methods for Solving Coupled Bulk–Surface Partial Differential Equations

    • Meng Chen
    • Leevan Ling

    OriginalPaper 29 July 2019 Pages: 375 - 391

    

18. Strong Stability Preserving Second Derivative General Linear Methods

    • Afsaneh Moradi
    • Javad Farzi
    • Ali Abdi

    OriginalPaper 02 August 2019 Pages: 392 - 435

    

19. A Positivity Preserving and Free Energy Dissipative Difference Scheme for the Poisson–Nernst–Planck System

    • Dongdong He
    • Kejia Pan
    • Xiaoqiang Yue

    OriginalPaper 03 August 2019 Pages: 436 - 458

    

20. Skew-Symmetric Entropy Stable Modal Discontinuous Galerkin Formulations

    • Jesse Chan

    OriginalPaper 06 August 2019 Pages: 459 - 485

    

21. Comparison of Moving Least Squares and RBF+poly for Interpolation and Derivative Approximation

    • Víctor Bayona

    OriginalPaper 09 August 2019 Pages: 486 - 512

    

22. A Tangential Block Lanczos Method for Model Reduction of Large-Scale First and Second Order Dynamical Systems

    • K. Jbilou
    • Y. Kaouane

    OriginalPaper 21 August 2019 Pages: 513 - 536

    

23. Numerical Algorithms of the Two-dimensional Feynman–Kac Equation for Reaction and Diffusion Processes

    • Daxin Nie
    • Jing Sun
    • Weihua Deng

    OriginalPaper 08 August 2019 Pages: 537 - 568

24. Numerical Approximations for the Tempered Fractional Laplacian: Error Analysis and Applications

    • Siwei Duo
    • Yanzhi Zhang

    OriginalPaper 14 August 2019 Pages: 569 - 593

    

25. The Active Flux Scheme on Cartesian Grids and Its Low Mach Number Limit

    • Wasilij Barsukow
    • Jonathan Hohm
    • Philip L. Roe

    OriginalPaper 28 August 2019 Pages: 594 - 622