A hierarchical a posteriori error estimator for the Reduced Basis Method Stefan HainMario OhlbergerKarsten Urban OriginalPaper 27 February 2019 Pages: 2191 - 2214
Mass conservative reduced order modeling of a free boundary osmotic cell swelling problem Christoph LehrenfeldStephan Rave OriginalPaper 23 May 2019 Pages: 2215 - 2239
A bilinear \(\mathcal {H}_{2}\) model order reduction approach to linear parameter-varying systems Peter BennerXingang CaoWil Schilders OriginalPaper Open access 18 April 2019 Pages: 2241 - 2271
Kolmogorov n-widths for linear dynamical systems Benjamin UngerSerkan Gugercin OriginalPaper 14 May 2019 Pages: 2273 - 2286
Discontinuous Galerkin reduced basis empirical quadrature procedure for model reduction of parametrized nonlinear conservation laws Masayuki Yano OriginalPaper 24 June 2019 Pages: 2287 - 2320
A transport-based multifidelity preconditioner for Markov chain Monte Carlo Benjamin PeherstorferYoussef Marzouk OriginalPaper 03 July 2019 Pages: 2321 - 2348
A reduced order variational multiscale approach for turbulent flows Giovanni StabileFrancesco BallarinGianluigi Rozza OriginalPaper 24 June 2019 Pages: 2349 - 2368
3D-VAR for parameterized partial differential equations: a certified reduced basis approach Nicole Aretz-NellesenMartin A. GreplKaren Veroy OriginalPaper 25 July 2019 Pages: 2369 - 2400
POD model order reduction with space-adapted snapshots for incompressible flows Carmen GräßleMichael HinzeSebastian Ullmann OriginalPaper 11 September 2019 Pages: 2401 - 2428
An offline/online procedure for dual norm calculations of parameterized functionals: empirical quadrature and empirical test spaces Tommaso Taddei OriginalPaper 11 September 2019 Pages: 2429 - 2462
Hyper-reduced order models for parametrized unsteady Navier-Stokes equations on domains with variable shape Niccolò Dal SantoAndrea Manzoni OriginalPaper 27 November 2019 Pages: 2463 - 2501
Variational Monte Carlo—bridging concepts of machine learning and high-dimensional partial differential equations Martin EigelReinhold SchneiderSebastian Wolf OriginalPaper 05 October 2019 Pages: 2503 - 2532
Cross-Gramian-based dominant subspaces Peter BennerChristian Himpe OriginalPaper Open access 19 November 2019 Pages: 2533 - 2553
Analysis of parametric models Hermann G. MatthiesRoger Ohayon OriginalPaper 28 November 2019 Pages: 2555 - 2586
Commutation error in reduced order modeling of fluid flows Birgul KocMuhammad MohebujjamanTraian Iliescu OriginalPaper 09 December 2019 Pages: 2587 - 2621
A priori and a posteriori error analysis for discontinuous Galerkin finite element approximations of biharmonic eigenvalue problems Liang WangChunguang XiongFusheng Luo OriginalPaper 10 June 2019 Pages: 2623 - 2646
Analysis and numerical solution of a nonlinear variable-order fractional differential equation Hong WangXiangcheng Zheng OriginalPaper 21 May 2019 Pages: 2647 - 2675
Spectral collocation method for system of weakly singular Volterra integral equations Zhendong Gu OriginalPaper 21 May 2019 Pages: 2677 - 2699
A well-balanced numerical scheme for a model of two-phase flows with treatment of nonconservative terms Mai Duc Thanh OriginalPaper 03 June 2019 Pages: 2701 - 2719
On the usage of lines in GCn sets Hakop HakopianVahagn Vardanyan OriginalPaper 03 June 2019 Pages: 2721 - 2743
Fast and strong convergence of online learning algorithms Zheng-Chu GuoLei Shi OriginalPaper 06 June 2019 Pages: 2745 - 2770
Local convergence of the Levenberg–Marquardt method under Hölder metric subregularity Masoud AhookhoshFrancisco J. Aragón ArtachoPhan T. Vuong OriginalPaper 14 June 2019 Pages: 2771 - 2806
On the convergence of a multigrid method for Moreau-regularized variational inequalities of the second kind Lori Badea OriginalPaper 18 June 2019 Pages: 2807 - 2832
Superconvergence of the Crouzeix-Raviart element for elliptic equation Yidan ZhangYunqing HuangNianyu Yi OriginalPaper 24 July 2019 Pages: 2833 - 2844
Computing images of polynomial maps Corey HarrisMateusz MichałekEmre Can Sertöz OriginalPaper Open access 08 August 2019 Pages: 2845 - 2865
Computing the closest real normal matrix and normal completion Nicola GuglielmiCarmela Scalone OriginalPaper 27 August 2019 Pages: 2867 - 2891
\({\mathscr{H}}\)-matrix approximability of inverses of discretizations of the fractional Laplacian Michael KarkulikJens Markus Melenk OriginalPaper 13 November 2019 Pages: 2893 - 2919
Long-time momentum and actions behaviour of energy-preserving methods for semi-linear wave equations via spatial spectral semi-discretisations Bin WangXinyuan Wu OriginalPaper 16 August 2019 Pages: 2921 - 2952
Nyström method for BEM of the heat equation with moving boundaries Johannes Tausch OriginalPaper 27 August 2019 Pages: 2953 - 2968
Randomized linear algebra for model reduction. Part I: Galerkin methods and error estimation Oleg BalabanovAnthony Nouy OriginalPaper 03 December 2019 Pages: 2969 - 3019
Generation of energy-minimizing point sets on spheres and their application in mesh-free interpolation and differentiation Oliver KuncFelix Fritzen OriginalPaper 10 December 2019 Pages: 3021 - 3056
On finite volume discretization of infiltration dynamics in tumor growth models Xianyi ZengMashriq Ahmed SalehJianjun Paul Tian OriginalPaper 03 December 2019 Pages: 3057 - 3094
Optimal confidence for Monte Carlo integration of smooth functions Robert J. KunschDaniel Rudolf OriginalPaper 29 November 2019 Pages: 3095 - 3122
Stability and convergence analysis of rotational velocity correction methods for the Navier–Stokes equations Feng ChenJie Shen OriginalPaper 12 November 2019 Pages: 3123 - 3136
Nonlinear stationary subdivision schemes reproducing hyperbolic and trigonometric functions Rosa DonatSergio López-Ureña OriginalPaper 03 December 2019 Pages: 3137 - 3172
Unconditionally optimal error estimates of a new mixed FEM for nonlinear Schrödinger equations Dongyang ShiHuaijun Yang OriginalPaper 03 December 2019 Pages: 3173 - 3194
On the convergence of data assimilation for the one-dimensional shallow water equations with sparse observations N. K.-R. KevlahanR. KhanB. Protas OriginalPaper 03 December 2019 Pages: 3195 - 3216
A first-order image denoising model for staircase reduction Wei Zhu OriginalPaper 29 November 2019 Pages: 3217 - 3239
Smooth projections and the construction of smooth Parseval frames of shearlets Bernhard G. BodmannDemetrio LabateBasanta R. Pahari OriginalPaper 29 November 2019 Pages: 3241 - 3264
Continuous interior penalty finite element methods for the time-harmonic Maxwell equation with high wave number Peipei LuHaijun WuXuejun Xu OriginalPaper 29 November 2019 Pages: 3265 - 3291
Preconditioning RBF collocation method by adapted finite difference matrix F. GhoreishiChangiz Goli Keshavarzi OriginalPaper 13 November 2019 Pages: 3293 - 3325
Shortest multi-wavelet matrix filters for refinable vector splines Johan de VilliersDinna Ranirina OriginalPaper 20 December 2019 Pages: 3327 - 3365
