Journal: Numerische Mathematik

Volume 134, Issue 4

667 -- 704Eduard Feireisl, Trygve K. Karper, Martin Michálek. Convergence of a numerical method for the compressible Navier-Stokes system on general domains
705 -- 740Takahito Kashiwabara, Issei Oikawa, Guanyu Zhou. Penalty method with P1/P1 finite element approximation for the Stokes equations under the slip boundary condition
741 -- 781Jichun Li, Sidney Shields. Superconvergence analysis of Yee scheme for metamaterial Maxwell's equations on non-uniform rectangular meshes
783 -- 822John W. Barrett, Harald Garcke, Robert Nürnberg. A stable numerical method for the dynamics of fluidic membranes
823 -- 856Helmut Harbrecht, Michael Peters, Markus Siebenmorgen. Analysis of the domain mapping method for elliptic diffusion problems on random domains
857 -- 879Wenbin Chen, Max Gunzburger, Dong Sun, Xiaoming Wang. An efficient and long-time accurate third-order algorithm for the Stokes-Darcy system

Volume 134, Issue 3

441 -- 472Tilo Arens, Thomas Rösch. A collocation method for weakly singular integral equations with super-algebraic convergence rate
473 -- 512Froilán M. Dopico, Kenet Pomés. Structured eigenvalue condition numbers for parameterized quasiseparable matrices
513 -- 567Daniel Bennequin, Martin J. Gander, Loïc Gouarin, Laurence Halpern. Optimized Schwarz waveform relaxation for advection reaction diffusion equations in two dimensions
569 -- 609Konstantin Brenner, Mayya Groza, Cindy Guichard, Gilles Lebeau, Roland Masson. Gradient discretization of hybrid dimensional Darcy flows in fractured porous media
611 -- 636Jean-David Benamou, Guillaume Carlier, Quentin Mérigot, Édouard Oudet. Discretization of functionals involving the Monge-Ampère operator
637 -- 666Lars Grasedyck, Lu Wang, Jinchao Xu. A nearly optimal multigrid method for general unstructured grids

Volume 134, Issue 2

223 -- 247Xiao-Shan Chen. On estimating the separation of two regular matrix pairs
249 -- 274Rajib Dutta, Helge Holden, Ujjwal Koley, Nils Henrik Risebro. Convergence of finite difference schemes for the Benjamin-Ono equation
275 -- 326Xingjie Helen Li, Christoph Ortner, Alexander V. Shapeev, Brian Van Koten. Analysis of blended atomistic/continuum hybrid methods
327 -- 342Stephen D. Shank, Valeria Simoncini, Daniel B. Szyld. Efficient low-rank solution of generalized Lyapunov equations
343 -- 388Fabio Nobile, Lorenzo Tamellini, Raúl Tempone. Convergence of quasi-optimal sparse-grid approximation of Hilbert-space-valued functions: application to random elliptic PDEs
389 -- 411Pedro Machado Manhães de Castro, Quentin Mérigot, Boris Thibert. Far-field reflector problem and intersection of paraboloids
413 -- 440Claudia Wulff, Chris Evans. Runge-Kutta time semidiscretizations of semilinear PDEs with non-smooth data

Volume 134, Issue 1

1 -- 25Carsten Carstensen, Dietmar Gallistl, Joscha Gedicke. Justification of the saturation assumption
27 -- 60Alan Demlow. Quasi-optimality of adaptive finite element methods for controlling local energy errors
61 -- 89Zhongqiang Zhang, Boris Rozovskii, George E. Karniadakis. Strong and weak convergence order of finite element methods for stochastic PDEs with spatial white noise
91 -- 118Atle Loneland, Leszek Marcinkowski, Talal Rahman. Additive average Schwarz method for a Crouzeix-Raviart finite volume element discretization of elliptic problems with heterogeneous coefficients
119 -- 138Ernst Hairer, Christian Lubich. Long-term analysis of the Störmer-Verlet method for Hamiltonian systems with a solution-dependent high frequency
139 -- 161Zhiyong Si, Jilu Wang, Weiwei Sun. Unconditional stability and error estimates of modified characteristics FEMs for the Navier-Stokes equations
163 -- 196Aicke Hinrichs, Lev Markhasin, Jens Oettershagen, Tino Ullrich. Optimal quasi-Monte Carlo rules on order 2 digital nets for the numerical integration of multivariate periodic functions
197 -- 222Shaohong Du, Shuyu Sun, Xiaoping Xie. Residual-based a posteriori error estimation for multipoint flux mixed finite element methods