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Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration Numer. Math. (IF 2.1) Pub Date : 2024-03-11 Philipp A. Guth, Vesa Kaarnioja, Frances Y. Kuo, Claudia Schillings, Ian H. Sloan
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A structure-preserving parametric finite element method for geometric flows with anisotropic surface energy Numer. Math. (IF 2.1) Pub Date : 2024-03-11 Weizhu Bao, Yifei Li
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Wave scattering problems in exterior domains with the method of fundamental solutions Numer. Math. (IF 2.1) Pub Date : 2024-02-28 Carlos J. S. Alves, Pedro R. S. Antunes
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A randomized operator splitting scheme inspired by stochastic optimization methods Numer. Math. (IF 2.1) Pub Date : 2024-02-26 Monika Eisenmann, Tony Stillfjord
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A Hausdorff-measure boundary element method for acoustic scattering by fractal screens Numer. Math. (IF 2.1) Pub Date : 2024-02-26 A. M. Caetano, S. N. Chandler-Wilde, A. Gibbs, D. P. Hewett, A. Moiola
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Zhang neural networks: an introduction to predictive computations for discretized time-varying matrix problems Numer. Math. (IF 2.1) Pub Date : 2024-02-19
Abstract This paper wants to increase our understanding and computational know-how for time-varying matrix problems and Zhang Neural Networks. These neural networks were invented for time or single parameter-varying matrix problems around 2001 in China and almost all of their advances have been made in and most still come from its birthplace. Zhang Neural Network methods have become a backbone for
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Iterative regularization for low complexity regularizers Numer. Math. (IF 2.1) Pub Date : 2024-02-10 Cesare Molinari, Mathurin Massias, Lorenzo Rosasco, Silvia Villa
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Stabilization and variations to the adaptive local iterative filtering algorithm: the fast resampled iterative filtering method Numer. Math. (IF 2.1) Pub Date : 2024-01-27
Abstract Non-stationary signals are ubiquitous in real life. Many techniques have been proposed in the last decades which allow decomposing multi-component signals into simple oscillatory mono-components, like the groundbreaking Empirical Mode Decomposition technique and the Iterative Filtering method. When a signal contains mono-components that have rapid varying instantaneous frequencies like chirps
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Uncertainty quantification for random domains using periodic random variables Numer. Math. (IF 2.1) Pub Date : 2024-01-12 Harri Hakula, Helmut Harbrecht, Vesa Kaarnioja, Frances Y. Kuo, Ian H. Sloan
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Stability of the minimum energy path Numer. Math. (IF 2.1) Pub Date : 2024-01-09 Xuanyu Liu, Huajie Chen, Christoph Ortner
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Improved rates for a space–time FOSLS of parabolic PDEs Numer. Math. (IF 2.1) Pub Date : 2023-12-27 Gregor Gantner, Rob Stevenson
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Adaptive guaranteed lower eigenvalue bounds with optimal convergence rates Numer. Math. (IF 2.1) Pub Date : 2023-12-27 Carsten Carstensen, Sophie Puttkammer
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Hanke–Raus rule for Landweber iteration in Banach spaces Numer. Math. (IF 2.1) Pub Date : 2023-12-18 Rommel R. Real
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A super-localized generalized finite element method Numer. Math. (IF 2.1) Pub Date : 2023-12-18 Philip Freese, Moritz Hauck, Tim Keil, Daniel Peterseim
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On the accuracy of the finite volume approximations to nonlocal conservation laws Numer. Math. (IF 2.1) Pub Date : 2023-12-13 Aekta Aggarwal, Helge Holden, Ganesh Vaidya
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Lattice enumeration via linear programming Numer. Math. (IF 2.1) Pub Date : 2023-12-11 Moulay Abdellah Chkifa
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Stability and guaranteed error control of approximations to the Monge–Ampère equation Numer. Math. (IF 2.1) Pub Date : 2023-12-07 Dietmar Gallistl, Ngoc Tien Tran
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A discrete elasticity complex on three-dimensional Alfeld splits Numer. Math. (IF 2.1) Pub Date : 2023-11-30 Snorre H. Christiansen, Jay Gopalakrishnan, Johnny Guzmán, Kaibo Hu
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Two-layer networks with the $$\text {ReLU}^k$$ activation function: Barron spaces and derivative approximation Numer. Math. (IF 2.1) Pub Date : 2023-11-23 Yuanyuan Li, Shuai Lu, Peter Mathé, Sergei V. Pereverzev
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Numerical stability and tensor nuclear norm Numer. Math. (IF 2.1) Pub Date : 2023-11-03 Zhen Dai, Lek-Heng Lim
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A unifying framework for tangential interpolation of structured bilinear control systems Numer. Math. (IF 2.1) Pub Date : 2023-10-31 Peter Benner, Serkan Gugercin, Steffen W. R. Werner
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On generating Sobolev orthogonal polynomials Numer. Math. (IF 2.1) Pub Date : 2023-10-31 Niel Van Buggenhout
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Grid-free weighted particle method applied to the Vlasov–Poisson equation Numer. Math. (IF 2.1) Pub Date : 2023-10-26 Yoann Le Henaff
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Statistical properties of BayesCG under the Krylov prior Numer. Math. (IF 2.1) Pub Date : 2023-10-12 Tim W. Reid, Ilse C. F. Ipsen, Jon Cockayne, Chris J. Oates
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Computation of the von Neumann entropy of large matrices via trace estimators and rational Krylov methods Numer. Math. (IF 2.1) Pub Date : 2023-09-28 Michele Benzi, Michele Rinelli, Igor Simunec
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Analysis and approximations of an optimal control problem for the Allen–Cahn equation Numer. Math. (IF 2.1) Pub Date : 2023-09-20 Konstantinos Chrysafinos, Dimitra Plaka
The scope of this paper is the analysis and approximation of an optimal control problem related to the Allen–Cahn equation. A tracking functional is minimized subject to the Allen–Cahn equation using distributed controls that satisfy point-wise control constraints. First and second order necessary and sufficient conditions are proved. The lowest order discontinuous Galerkin—in time—scheme is considered
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Operator splitting based dynamic iteration for linear differential-algebraic port-Hamiltonian systems Numer. Math. (IF 2.1) Pub Date : 2023-09-20 Andreas Bartel, Michael Günther, Birgit Jacob, Timo Reis
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Improved ParaDiag via low-rank updates and interpolation Numer. Math. (IF 2.1) Pub Date : 2023-09-20 Daniel Kressner, Stefano Massei, Junli Zhu
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Analysis of the single reference coupled cluster method for electronic structure calculations: the full-coupled cluster equations Numer. Math. (IF 2.1) Pub Date : 2023-09-13 Muhammad Hassan, Yvon Maday, Yipeng Wang
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Interpolation operators for parabolic problems Numer. Math. (IF 2.1) Pub Date : 2023-09-11 Rob Stevenson, Johannes Storn
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Precision-aware deterministic and probabilistic error bounds for floating point summation Numer. Math. (IF 2.1) Pub Date : 2023-08-30 Eric Hallman, Ilse C. F. Ipsen
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Correction: Random reordering in SOR-type methods Numer. Math. (IF 2.1) Pub Date : 2023-08-11 Peter Oswald, Weiqi Zhou
Abstract My joint paper (Numerische Mathematik 135:1207–1220, 2017. https://doi.org/10.1007/s00211-016-0829-7) with W. Zhou contains two errors which concern the derivation of some auxiliary norm estimates of the lower triangular projection for positive semi-definite Hermitean matrices in dependence on coordinate permutations. These errors are corrected. The main results of Oswald and Zhou (Numerische
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Least-squares finite elements for distributed optimal control problems Numer. Math. (IF 2.1) Pub Date : 2023-08-10 Thomas Führer, Michael Karkulik
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Stabilization-free HHO a posteriori error control Numer. Math. (IF 2.1) Pub Date : 2023-08-09 Fleurianne Bertrand, Carsten Carstensen, Benedikt Gräßle, Ngoc Tien Tran
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Multilevel quasi-Monte Carlo for optimization under uncertainty Numer. Math. (IF 2.1) Pub Date : 2023-07-28 Philipp A. Guth, Andreas Van Barel
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High-dimensional approximation with kernel-based multilevel methods on sparse grids Numer. Math. (IF 2.1) Pub Date : 2023-07-28 Rüdiger Kempf, Holger Wendland
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Unified a priori analysis of four second-order FEM for fourth-order quadratic semilinear problems Numer. Math. (IF 2.1) Pub Date : 2023-06-29 Carsten Carstensen, Neela Nataraj, Gopikrishnan C. Remesan, Devika Shylaja
A unified framework for fourth-order semilinear problems with trilinear nonlinearity and general sources allows for quasi-best approximation with lowest-order finite element methods. This paper establishes the stability and a priori error control in the piecewise energy and weaker Sobolev norms under minimal hypotheses. Applications include the stream function vorticity formulation of the incompressible
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Fast hyperbolic wavelet regression meets ANOVA Numer. Math. (IF 2.1) Pub Date : 2023-06-24 Laura Lippert, Daniel Potts, Tino Ullrich
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Solving trust region subproblems using Riemannian optimization Numer. Math. (IF 2.1) Pub Date : 2023-06-23 Uria Mor, Boris Shustin, Haim Avron
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On the iterative regularization of non-linear illposed problems in $$L^{\infty }$$ Numer. Math. (IF 2.1) Pub Date : 2023-06-22 Lukas Pieronek, Andreas Rieder
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Concentration in Lotka–Volterra parabolic equations: an asymptotic-preserving scheme Numer. Math. (IF 2.1) Pub Date : 2023-06-20 Vincent Calvez, Hélène Hivert, Havva Yoldaş
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The local discontinuous Galerkin method for a singularly perturbed convection–diffusion problem with characteristic and exponential layers Numer. Math. (IF 2.1) Pub Date : 2023-06-18 Yao Cheng, Martin Stynes
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Numerical dynamics of integrodifference equations Numer. Math. (IF 2.1) Pub Date : 2023-05-23 Christian Pötzsche
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Higher-order time domain boundary elements for elastodynamics: graded meshes and hp versions Numer. Math. (IF 2.1) Pub Date : 2023-05-22 Alessandra Aimi, Giulia Di Credico, Heiko Gimperlein, Ernst P. Stephan
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On the spectrum of the double-layer operator on locally-dilation-invariant Lipschitz domains Numer. Math. (IF 2.1) Pub Date : 2023-05-03 Simon N. Chandler-Wilde, Raffael Hagger, Karl-Mikael Perfekt, Jani A. Virtanen
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A posteriori error analysis and adaptivity for high-dimensional elliptic and parabolic boundary value problems Numer. Math. (IF 2.1) Pub Date : 2023-04-24 Fabian Merle, Andreas Prohl
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Complete radiation boundary conditions for the Helmholtz equation II: domains with corners Numer. Math. (IF 2.1) Pub Date : 2023-04-22 Thomas Hagstrom, Seungil Kim
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The numerical methods for the coupled fluid flow under the leak interface condition of the friction-type Numer. Math. (IF 2.1) Pub Date : 2023-04-21 Guanyu Zhou, Feifei Jing, Takahito Kashiwabara
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Lack of superstable trajectories in linear viscoelasticity: a numerical approach Numer. Math. (IF 2.1) Pub Date : 2023-04-17 Paola F. Antonietti, Lorenzo Liverani, Vittorino Pata
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Stability and asymptotic analysis for instationary gas transport via relative energy estimates Numer. Math. (IF 2.1) Pub Date : 2023-04-06 H. Egger, J. Giesselmann
We consider the transport of gas in long pipes and pipeline networks for which the dynamics are dominated by friction at the pipe walls. The governing equations can be formulated as an abstract dissipative Hamiltonian system which allows us to derive perturbation bounds via relative energy estimates using a problem adapted nonlinear analysis. As particular consequences of these results, we are able
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Asymptotic analysis of domain decomposition for optimal transport Numer. Math. (IF 2.1) Pub Date : 2023-02-28 Mauro Bonafini, Ismael Medina, Bernhard Schmitzer
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Improved error estimates for the finite volume and the MAC schemes for the compressible Navier–Stokes system Numer. Math. (IF 2.1) Pub Date : 2023-02-15 Eduard Feireisl, Mária Lukáčová-Medvid’ová, Bangwei She
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An immersed Crouzeix–Raviart finite element method in 2D and 3D based on discrete level set functions Numer. Math. (IF 2.1) Pub Date : 2023-02-09 Haifeng Ji
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Rate of convergence and stability analysis of a modified fixed pivot technique for a fragmentation equation Numer. Math. (IF 2.1) Pub Date : 2023-02-04 Jitraj Saha, Mehakpreet Singh
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Double exponential quadrature for fractional diffusion Numer. Math. (IF 2.1) Pub Date : 2023-01-26 Alexander Rieder
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An averaged space–time discretization of the stochastic p-Laplace system Numer. Math. (IF 2.1) Pub Date : 2022-12-31 Lars Diening, Martina Hofmanová, Jörn Wichmann
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New analysis of mixed FEMs for dynamical incompressible magnetohydrodynamics Numer. Math. (IF 2.1) Pub Date : 2022-12-29 Huadong Gao, Weifeng Qiu, Weiwei Sun
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Interpolation on the cubed sphere with spherical harmonics Numer. Math. (IF 2.1) Pub Date : 2022-12-28 Jean-Baptiste Bellet, Matthieu Brachet, Jean-Pierre Croisille
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Two discretisations of the time-dependent Bingham problem Numer. Math. (IF 2.1) Pub Date : 2022-12-26 C. Carstensen, M. Schedensack
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A semi-Lagrangian scheme for Hamilton–Jacobi–Bellman equations with oblique derivatives boundary conditions Numer. Math. (IF 2.1) Pub Date : 2022-12-24 Elisa Calzola, Elisabetta Carlini, Xavier Dupuis, Francisco J. Silva