OOIR: Observatory of International Research

Papers

(The median citation count of Numerische Mathematik is 2. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-04-01 to 2025-04-01.)

Article	Citations
Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation	28
A pseudo-spectral Strang splitting method for linear dispersive problems with transparent boundary conditions	25
On the spectrum of the double-layer operator on locally-dilation-invariant Lipschitz domains	24
A model reduction approach for inverse problems with operator valued data	23
Riemannian acceleration with preconditioning for symmetric eigenvalue problems	22
Preconditioning high order $$H^2$$ conforming finite elements on triangles	21
A proximal-gradient algorithm for crystal surface evolution	20
Improved error estimates for the finite volume and the MAC schemes for the compressible Navier–Stokes system	19
New discontinuous Galerkin algorithms and analysis for linear elasticity with symmetric stress tensor	19
Which constraints of a numerical problem cause ill-conditioning?	15
A convergent finite volume scheme for dissipation driven models with volume filling constraint	13
Corners and stable optimized domain decomposition methods for the Helmholtz problem	12
Functions of rational Krylov space matrices and their decay properties	12
Fully discrete loosely coupled Robin-Robin scheme for incompressible fluid–structure interaction: stability and error analysis	12
Projection in negative norms and the regularization of rough linear functionals	11
Stability properties of a projector-splitting scheme for dynamical low rank approximation of random parabolic equations	11
Space-time CutFEM on overlapping meshes II: simple discontinuous mesh evolution	11
Monotone discretizations of levelset convex geometric PDEs	10
A semi-Lagrangian scheme for Hamilton–Jacobi–Bellman equations with oblique derivatives boundary conditions	10
Finite element methods for the stretching and bending of thin structures with folding	10
Error estimates for total-variation regularized minimization problems with singular dual solutions	10
Convergent adaptive hybrid higher-order schemes for convex minimization	9
An immersed Crouzeix–Raviart finite element method in 2D and 3D based on discrete level set functions	9
A matrix-theoretic spectral analysis of incompressible Navier–Stokes staggered DG approximations and a related spectrally based preconditioning approach	9
Numerical approximation of variational problems with orthotropic growth	9

Weak convergence rates for temporal numerical approximations of the semilinear stochastic wave equation with multiplicative noise	9
On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation	9
On the adaptive Levin method	9
Compression of boundary integral operators discretized by anisotropic wavelet bases	8
Adaptive guaranteed lower eigenvalue bounds with optimal convergence rates	8
Guaranteed lower bounds on eigenvalues of elliptic operators with a hybrid high-order method	8
Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap	8
Large-stepsize integrators for charged-particle dynamics over multiple time scales	8
Drift approximation by the modified Boris algorithm of charged-particle dynamics in toroidal geometry	8
Nearest $$\varOmega $$-stable matrix via Riemannian optimization	7
A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws	7
Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains	7
On algebraically stabilized schemes for convection–diffusion–reaction problems	7
Numerical dynamics of integrodifference equations	7
Kernel-independent adaptive construction of $$\mathcal {H}^2$$-matrix approximations	7
A roadmap for Generalized Plane Waves and their interpolation properties	7
Improved ParaDiag via low-rank updates and interpolation	7
New analysis and recovery technique of mixed FEMs for compressible miscible displacement in porous media	7
A posteriori error estimates for Radau IIA methods via maximal parabolic regularity	7
Fast solution of incompressible flow problems with two-level pressure approximation	6
A stable local commuting projector and optimal hp approximation estimates in $$\varvec{H}(\textrm{curl})$$	6
Least-squares finite elements for distributed optimal control problems	6
Uniform boundary stabilization of a high-order finite element space discretization of the 1-d wave equation	6
Goal-oriented adaptive finite element methods with optimal computational complexity	6
Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems	6
Two-layer networks with the $$\text {ReLU}^k$$ activation function: Barron spaces and derivative approximation	6
Maximizing sum of coupled traces with applications	6
Non-asymptotic error estimates for the Laplace approximation in Bayesian inverse problems	6
Super-localization of spatial network models	6
Numerical stability and tensor nuclear norm	6
Interior estimates for the virtual element method	6
Lattice enumeration via linear programming	6
Moment-SoS methods for optimal transport problems	6
Orthogonality relations of Crouzeix–Raviart and Raviart–Thomas finite element spaces	6
Oscillation in a posteriori error estimation	6
Coercive second-kind boundary integral equations for the Laplace Dirichlet problem on Lipschitz domains	6
MDFEM: Multivariate decomposition finite element method for elliptic PDEs with uniform random diffusion coefficients using higher-order QMC and FEM	6
Entropy inequalities for fully-discrete E-schemes: a sequel	6
A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux	6
Corrected trapezoidal rules for boundary integral equations in three dimensions	6
Stochastic collocation method for computing eigenspaces of parameter-dependent operators	5
The local discontinuous Galerkin method for a singularly perturbed convection–diffusion problem with characteristic and exponential layers	5
Correction to: Rigorous numerics for nonlinear heat equations in the complex plane of time	5
Stabilization of loosely coupled schemes for 0D–3D fluid–structure interaction problems with application to cardiovascular modelling	5
Sparse harmonic transforms II: best s-term approximation guarantees for bounded orthonormal product bases in sublinear-time	5
New analysis of mixed FEMs for dynamical incompressible magnetohydrodynamics	5
A unifying framework for tangential interpolation of structured bilinear control systems	5
A new parameter free partially penalized immersed finite element and the optimal convergence analysis	5
Publisher Correction to: On the numerical stability of linear barycentric rational interpolation	5
Numerical analysis of the SIMP model for the topology optimization problem of minimizing compliance in linear elasticity	5

Stability and asymptotic analysis for instationary gas transport via relative energy estimates	5
Error estimates for deep learning methods in fluid dynamics	5
Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains	5
A super-localized generalized finite element method	5
Rigorous numerics for nonlinear heat equations in the complex plane of time	5
Maximal spaces for approximation rates in $$\ell ^1$$-regularization	5
A fully discrete evolving surface finite element method for the Cahn–Hilliard equation with a regular potential	5
Stability and error estimates of a linear numerical scheme approximating nonlinear fluid-structure interactions	5
Fast evaluation of real and complex polynomials	5
A structure-preserving parametric finite element method for geometric flows with anisotropic surface energy	4
Convergence analysis for a fully-discrete finite element approximation of the unsteady $$p(\cdot ,\cdot )$$-Navier–Stokes equations	4
Entropy and convergence analysis for two finite volume schemes for a Nernst–Planck–Poisson system with ion volume constraints	4
Concentration in Lotka–Volterra parabolic equations: an asymptotic-preserving scheme	4
Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations	4
Fortin operator for the Taylor–Hood element	4
High-order bounds-satisfying approximation of partial differential equations via finite element variational inequalities	4
Unconditionally positivity preserving and energy dissipative schemes for Poisson–Nernst–Planck equations	4
On early stopping of stochastic mirror descent method for ill-posed inverse problems	4
Complete radiation boundary conditions for the Helmholtz equation II: domains with corners	4
A generic construction for high order approximation schemes of semigroups using random grids	4
Numerical approximation of control problems of non-monotone and non-coercive semilinear elliptic equations	3
A generalization of a theorem of Brass and Schmeisser	3
Statistical properties of BayesCG under the Krylov prior	3
A real triple dqds algorithm for the nonsymmetric tridiagonal eigenvalue problem	3
Preconditioning techniques for the coupled Stokes–Darcy problem: spectral and field-of-values analysis	3
Grid-free weighted particle method applied to the Vlasov–Poisson equation	3
Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states	3
Energy relaxation approximation for compressible multicomponent flows in thermal nonequilibrium	3
The pressure-wired Stokes element: a mesh-robust version of the Scott–Vogelius element	3
Asymptotic properties of Monte Carlo methods in elliptic PDE-constrained optimization under uncertainty	3
A Hausdorff-measure boundary element method for acoustic scattering by fractal screens	3
Optimal operator preconditioning for pseudodifferential boundary problems	3
A multipoint stress-flux mixed finite element method for the Stokes-Biot model	3
Multilevel quasi-Monte Carlo for optimization under uncertainty	3
An iterative method for the solution of Laplace-like equations in high and very high space dimensions	3
On the number of terms in the COS method for European option pricing	3
Randomized block Krylov methods for approximating extreme eigenvalues	3
Improved uniform error bounds on a Lawson-type exponential integrator for the long-time dynamics of sine-Gordon equation	3
Zhang neural networks: an introduction to predictive computations for discretized time-varying matrix problems	3
Sensitivity of low-rank matrix recovery	3
An error estimate for a finite-volume scheme for the Cahn–Hilliard equation with dynamic boundary conditions	3
Finite element approximation of time-dependent mean field games with nondifferentiable Hamiltonians	3
A posteriori error analysis and adaptivity for high-dimensional elliptic and parabolic boundary value problems	3
Newton–Krylov-BDDC deluxe solvers for non-symmetric fully implicit time discretizations of the bidomain model	2
On numerical approximations to fluid–structure interactions involving compressible fluids	2
A priori and a posteriori error analysis of an unfitted HDG method for semi-linear elliptic problems	2
Physics-preserving enriched Galerkin method for a fully-coupled thermo-poroelasticity model	2
Mathematical analysis of a finite difference method for inhomogeneous incompressible Navier–Stokes equations	2
Fully computable a posteriori error bounds for eigenfunctions	2
Stable generalized finite element method (SGFEM) for three-dimensional crack problems	2
Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs	2
New preconditioners for the Laplace and Helmholtz integral equations on open curves: analytical framework and numerical results	2
Nonnegative low rank tensor approximations with multidimensional image applications	2
On the numerical stability of linear barycentric rational interpolation	2
Dynamical reduced basis methods for Hamiltonian systems	2
Interpolation on the cubed sphere with spherical harmonics	2
Circuits of ferromagnetic nanowires	2
Correction to: A note on Dekker’s FastTwoSum algorithm	2
A numerical investigation of Brockett’s ensemble optimal control problems	2
Trefftz discontinuous Galerkin discretization for the Stokes problem	2
Correction to: Finite element error estimates in non-energy norms for the two-dimensional scalar Signorini problem	2
On the analysis and approximation of some models of fluids over weighted spaces on convex polyhedra	2
Budget-limited distribution learning in multifidelity problems	2
Galerkin approximation of holomorphic eigenvalue problems: weak T-coercivity and T-compatibility	2
Asymptotic properties of a class of linearly implicit schemes for weakly compressible Euler equations	2
Long-time behaviour of hybrid finite volume schemes for advection–diffusion equations: linear and nonlinear approaches	2
Spectral convergence of probability densities for forward problems in uncertainty quantification	2
Stabilization-free HHO a posteriori error control	2
Wave scattering problems in exterior domains with the method of fundamental solutions	2