Journal: Numerische Mathematik

Volume 157, Issue 6

1975 -- 2016Georgios Akrivis, Charalambos G. Makridakis, Costas Smaragdakis. Runge-Kutta physics informed neural networks: formulation and analysis
2017 -- 2054Erik Burman, Deepika Garg, Janosch Preuß. A nonconforming finite element method for data assimilation subject to the transient Stokes problem
2055 -- 2096Elisabetta Carlini, Antonio Siconolfi. Numerical analysis of time-dependent Hamilton-Jacobi equations on networks
2097 -- 2143Maxime Breden, Hugo Chu. Constructive proofs for some semilinear PDEs on $H^2(e^{|x|^2/4},\mathbb {R}^d)$
2145 -- 2172Stephan Gerster, Aleksey Sikstel, Giuseppe Visconti. Haar-type stochastic Galerkin formulations for hyperbolic systems with Lipschitz continuous flux function
2173 -- 2210Kangkang Deng, Jiang Hu. Decentralized projected Riemannian gradient method for smooth optimization on compact submanifolds embedded in the Euclidean space
2211 -- 2249Joshua Zoen-Git Hiew, Luca Nenna, Brendan Pass. An ordinary differential equation for entropic optimal transport and its linearly constrained variants
2251 -- 2289Mehdi Badra, Jean-Pierre Raymond. Numerical approximation of the Oseen system in polyhedral or polygonal domains
2291 -- 2322Fabio Nobile, Tommaso Vanzan. Multilevel quadrature formulae for the optimal control of random PDEs
2323 -- 2355Bangti Jin, Xiliang Lu, Qimeng Quan, Zhi Zhou 0002. Numerical recovery of the diffusion coefficient in diffusion equations from terminal measurement

Volume 157, Issue 5

1449 -- 1489Aaron Brunk, Herbert Egger, Oliver Habrich, Mária Lukácová-Medvid'ová. Error analysis for a second order approximation of a viscoelastic phase separation model
1491 -- 1535Stanislav Budzinskiy. Quasioptimal alternating projections and their use in low-rank approximation of matrices and tensors
1537 -- 1614José A. Carrillo 0001, Stefano Fronzoni, Endre Süli. Finite element scheme for the fractional porous medium equation with fractional pressure
1615 -- 1641Stef Graillat, Jean-Michel Muller. Emulation of the FMA and the correctly-rounded sum of three numbers in rounding-to-nearest floating-point arithmetic
1643 -- 1694Thomas Christiansen, Katrin Grunert. Rate of convergence for numerical α-dissipative solutions of the Hunter-Saxton equation
1695 -- 1737Andrew J. Higgins 0002, Daniel B. Szyld, Erik G. Boman, Ichitaro Yamazaki. Analysis of Randomized Householder-Cholesky QR factorization with multisketching
1739 -- 1791Laura Hucker, Markus Reiß. Early stopping for conjugate gradients in statistical inverse problems
1793 -- 1846Rongbiao Wang, Jungho Lee, Lek-Heng Lim. Summing divergent matrix series
1847 -- 1895Carlos Castro 0002, Sorin Micu. A mixed finite elements approximation of inverse source problems for the wave equation with variable coefficients using observability
1897 -- 1936Joost A. A. Opschoor, Christoph Schwab, Christos Xenophontos. Neural networks for singular perturbations
1937 -- 1974Johannes Pfefferer, Boris Vexler. Numerical analysis for Dirichlet optimal control problems on convex polyhedral domains

Volume 157, Issue 4

1161 -- 1209L. Beirão da Veiga, Franco Dassi, Giuseppe Vacca. Pressure and convection robust finite elements for magnetohydrodynamics
1211 -- 1258Paolo Bignardi, Andrea Moiola. A space-time continuous and coercive formulation for the wave equation
1259 -- 1284Erik Burman, Guillaume Delay, Alexandre Ern. The unique continuation problem for the wave equation discretized with a high-order space-time nonconforming method
1285 -- 1311Takeru Matsuda, Yuji Nakatsukasa. Polynomial approximation of noisy functions
1313 -- 1346Klaus Deckelnick, Robert Nürnberg. Finite element schemes with tangential motion for fourth order geometric curve evolutions in arbitrary codimension
1347 -- 1395Daniel Matthes, Eva-Maria Rott, Giuseppe Savaré, André Schlichting. A structure preserving discretization for the Derrida-Lebowitz-Speer-Spohn equation based on diffusive transport
1397 -- 1448Noureddine Lamsahel, Carla Manni, Ahmed Ratnani, Stefano Serra Capizzano, Hendrik Speleers. Outlier-free isogeometric discretizations for Laplace eigenvalue problems: closed-form eigenvalue and eigenvector expressions

Volume 157, Issue 3

749 -- 779Davide Bianchi, Marco Donatelli, Davide Furchì, Lothar Reichel. Convergence analysis and parameter estimation for the iterated Arnoldi-Tikhonov method
781 -- 822Markus Bachmayr, Henrik Eisenmann, André Uschmajew. Dynamical low-rank tensor approximations to high-dimensional parabolic problems: existence and convergence of spatial discretizations
823 -- 853Pankaj Gautam, Markus Grasmair. Parameter identification in PDEs by the solution of monotone inclusion problems
855 -- 895Hiroki Ishizaka. Anisotropic modified Crouzeix-Raviart finite element method for the stationary Navier-Stokes equation
897 -- 949Zhongxiao Jia, Kailiang Zhang. A CJ-FEAST GSVDsolver for computing a partial GSVD of a large matrix pair with the generalized singular values in a given interval
951 -- 992Katharina Hopf, Ansgar Jüngel. Convergence of a finite-volume scheme and dissipative measure-valued-strong stability for a hyperbolic-parabolic cross-diffusion system
993 -- 1021Dimitrios Mitsotakis. The complex-step Newton method and its convergence
1023 -- 1077Sebastian Schwarzacher, Bangwei She, Karel Tuma. Stability and error estimates of a linear numerical scheme approximating nonlinear fluid-structure interactions
1079 -- 1132Mária Lukácová-Medvid'ová, Bangwei She, Yuhuan Yuan. Penalty method for the Navier-Stokes-Fourier system with Dirichlet boundary conditions: convergence and error estimates
1133 -- 1159Shangyou Zhang. k finite elements on triangular meshes

Volume 157, Issue 2

409 -- 445Maximilian Brunner, Dirk Praetorius, Julian Streitberger. Cost-optimal adaptive FEM with linearization and algebraic solver for semilinear elliptic PDEs
447 -- 475Rommel Bustinza, Matteo Cicuttin, Ariel L. Lombardi. A hybrid high-order method for the mixed Steklov eigenvalue problem
477 -- 504Difeng Cai, Zhiqiang Cai 0001. Hybrid a posteriori error estimators for conforming finite element approximations to stationary convection-diffusion-reaction equations
505 -- 538Thomas Hangelbroek, Christian Rieger, Grady B. Wright. Spectral stability and perturbation results for kernel differentiation matrices on the sphere
539 -- 571Jing Huang, Qinian Jin, Xiliang Lu, Liuying Zhang. On early stopping of stochastic mirror descent method for ill-posed inverse problems
573 -- 627Luigi C. Berselli, Alex Kaltenbach. Convergence analysis for a fully-discrete finite element approximation of the unsteady p(· ,· )-Navier-Stokes equations
629 -- 661Genming Bai, Xinping Gui, Buyang Li. Convergence of multistep projection methods for harmonic map heat flows into general surfaces
663 -- 715Charles M. Elliott, Thomas Sales. A fully discrete evolving surface finite element method for the Cahn-Hilliard equation with a regular potential
717 -- 748Andreas Kirsch 0001, Ruming Zhang. The PML-method for a scattering problem for a local perturbation of an open periodic waveguide

Volume 157, Issue 1

1 -- 40Christian Alber, Chupeng Ma, Robert Scheichl. A mixed multiscale spectral generalized finite element method
41 -- 96Kristian Bredies, Marcello Carioni, Martin Holler, Yury Korolev, Carola-Bibiane Schönlieb. A sparse optimization approach to infinite infimal convolution regularization
97 -- 142Genming Bai, Dmitriy Leykekhman, Buyang Li. Weak maximum principle of finite element methods for parabolic equations in polygonal domains
143 -- 163Eduardo Casas, Konstantinos Chrysafinos, Mariano Mateos. Bilinear control of semilinear elliptic PDEs: convergence of a semismooth Newton method
165 -- 211Yohance A. P. Osborne, Iain Smears. Finite element approximation of time-dependent mean field games with nondifferentiable Hamiltonians
213 -- 248Ioannis P. A. Papadopoulos. Numerical analysis of the SIMP model for the topology optimization problem of minimizing compliance in linear elasticity
249 -- 306Francesco Regazzoni 0002. Stabilization of loosely coupled schemes for 0D-3D fluid-structure interaction problems with application to cardiovascular modelling
307 -- 354Nian Shao, Wenbin Chen 0006. Riemannian acceleration with preconditioning for symmetric eigenvalue problems
355 -- 408Ramona Anton, Nicolae Mihalache, François Vigneron. Fast evaluation of real and complex polynomials