OOIR: Observatory of International Research

Papers

(The median citation count of Numerische Mathematik is 3. 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 2020-05-01 to 2024-05-01.)

Article	Citations
Numerical analysis for iterative filtering with new efficient implementations based on FFT	41
On the convergence of the Laplace approximation and noise-level-robustness of Laplace-based Monte Carlo methods for Bayesian inverse problems	33
General relaxation methods for initial-value problems with application to multistep schemes	24
The Sinkhorn algorithm, parabolic optimal transport and geometric Monge–Ampère equations	24
Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping	20
A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrödinger equation	18
Exponential node clustering at singularities for rational approximation, quadrature, and PDEs	17
Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations	17
Unconditionally positivity preserving and energy dissipative schemes for Poisson–Nernst–Planck equations	17
Convergence rates for the numerical approximation of the 2D stochastic Navier–Stokes equations	16
Convergence of a finite volume scheme for a system of interacting species with cross-diffusion	16
Dynamical reduced basis methods for Hamiltonian systems	16
A convergent evolving finite element algorithm for Willmore flow of closed surfaces	15
A fast approach to optimal transport: the back-and-forth method	15
A structure-preserving FEM for the uniaxially constrained $$\mathbf{Q}$$-tensor model of nematic liquid crystals	14
Convergence and error estimates for time-discrete consensus-based optimization algorithms	14
Regularity and convergence analysis in Sobolev and Hölder spaces for generalized Whittle–Matérn fields	13
Uniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problem	12
Finite Difference formulation of any lattice Boltzmann scheme	12
Bulk-surface virtual element method for systems of PDEs in two-space dimensions	11
Numerical solution of a bending-torsion model for elastic rods	11
Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver	11
Corrected trapezoidal rules for boundary integral equations in three dimensions	11
A variational finite volume scheme for Wasserstein gradient flows	11
How much faster does the best polynomial approximation converge than Legendre projection?	11

A stable discontinuous Galerkin method for the perfectly matched layer for elastodynamics in first order form	11
The J-method for the Gross–Pitaevskii eigenvalue problem	11
Nonnegative low rank tensor approximations with multidimensional image applications	11
Development and analysis of a new finite element method for the Cohen–Monk PML model	10
Beyond the Bakushinkii veto: regularising linear inverse problems without knowing the noise distribution	10
Boundary element methods for acoustic scattering by fractal screens	10
A new parameter free partially penalized immersed finite element and the optimal convergence analysis	10
Stable generalized finite element method (SGFEM) for three-dimensional crack problems	9
CutFEM based on extended finite element spaces	9
Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains	9
A sharp relative-error bound for the Helmholtz h-FEM at high frequency	9
On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation	9
A reduced basis method for fractional diffusion operators I	8
A priori error estimates of regularized elliptic problems	8
A cut finite element method for a model of pressure in fractured media	8
Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow	8
Solution of second kind Fredholm integral equations by means of Gauss and anti-Gauss quadrature rules	8
Rate of convergence and stability analysis of a modified fixed pivot technique for a fragmentation equation	7
Robust treatment of cross-points in optimized Schwarz methods	7
Long-time behaviour of hybrid finite volume schemes for advection–diffusion equations: linear and nonlinear approaches	7
Preconditioning techniques for the coupled Stokes–Darcy problem: spectral and field-of-values analysis	7
A new formulation using the Schur complement for the numerical existence proof of solutions to elliptic problems: without direct estimation for an inverse of the linearized operator	7
Multilevel ensemble Kalman filtering for spatio-temporal processes	7
Convergence of a Godunov scheme to an Audusse–Perthame adapted entropy solution for conservation laws with BV spatial flux	7
Efficient algorithms for solving the p-Laplacian in polynomial time	7
Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces	7
Numerical algorithm for the space-time fractional Fokker–Planck system with two internal states	7
An adaptive high-order unfitted finite element method for elliptic interface problems	7
Adaptive stochastic Galerkin FEM for lognormal coefficients in hierarchical tensor representations	7
On the analysis and approximation of some models of fluids over weighted spaces on convex polyhedra	6
Galerkin approximation of holomorphic eigenvalue problems: weak T-coercivity and T-compatibility	6
A multipoint stress-flux mixed finite element method for the Stokes-Biot model	6
Numerical approximation of the stochastic Cahn–Hilliard equation near the sharp interface limit	6
A structure-preserving discontinuous Galerkin scheme for the Fisher–KPP equation	6
Two-level preconditioning for $$h$$-version boundary element approximation of hypersingular operator with GenEO	6
Convergence analysis of asymptotic preserving schemes for strongly magnetized plasmas	6
Optimization of the shape of regions supporting boundary conditions	6
Resolution of the implicit Euler scheme for the Navier–Stokes equation through a least-squares method	6
Sparse harmonic transforms II: best s-term approximation guarantees for bounded orthonormal product bases in sublinear-time	6
Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems	6
Corners and stable optimized domain decomposition methods for the Helmholtz problem	6
Extremal and optimal properties of B-bases collocation matrices	6
A residual a posteriori error estimate for the time–domain boundary element method	6
Entropy and convergence analysis for two finite volume schemes for a Nernst–Planck–Poisson system with ion volume constraints	6
Error estimates for deep learning methods in fluid dynamics	6
What makes nonholonomic integrators work?	6
Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap	6
Numerical analysis of a finite element formulation of the P2D model for Lithium-ion cells	5
Direct serendipity and mixed finite elements on convex quadrilaterals	5
On the convergence of Lawson methods for semilinear stiff problems	5

New analysis of mixed FEMs for dynamical incompressible magnetohydrodynamics	5
Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation	5
An implicit–explicit time discretization scheme for second-order semilinear wave equations with application to dynamic boundary conditions	5
A multilevel Monte Carlo method for asymptotic-preserving particle schemes in the diffusive limit	5
Optimal operator preconditioning for pseudodifferential boundary problems	5
A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux	5
Oscillation in a posteriori error estimation	5
Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification	5
Convergence rates of a dual gradient method for constrained linear ill-posed problems	5
A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems	5
Newton–Krylov-BDDC deluxe solvers for non-symmetric fully implicit time discretizations of the bidomain model	5
A domain mapping approach for elliptic equations posed on random bulk and surface domains	5
Preconditioning high order $$H^2$$ conforming finite elements on triangles	5
Domain decomposition for entropy regularized optimal transport	5
Mixed and hybrid Petrov–Galerkin finite element discretization for optimal control of the wave equation	4
Numerical methods for scattering problems in periodic waveguides	4
On the numerical stability of linear barycentric rational interpolation	4
Energy relaxation approximation for compressible multicomponent flows in thermal nonequilibrium	4
MDFEM: Multivariate decomposition finite element method for elliptic PDEs with uniform random diffusion coefficients using higher-order QMC and FEM	4
Kernel-independent adaptive construction of $$\mathcal {H}^2$$-matrix approximations	4
On algebraically stabilized schemes for convection–diffusion–reaction problems	4
An adaptive finite element DtN method for the elastic wave scattering problem	4
The Vlasov–Fokker–Planck equation with high dimensional parametric forcing term	4
Analysis of direct discontinuous Galerkin methods for multi-dimensional convection–diffusion equations	4
A numerical investigation of Brockett’s ensemble optimal control problems	4
Superior properties of the PRESB preconditioner for operators on two-by-two block form with square blocks	4
Guaranteed lower bounds on eigenvalues of elliptic operators with a hybrid high-order method	4
An immersed Crouzeix–Raviart finite element method in 2D and 3D based on discrete level set functions	4
On convergence of Chorin’s projection method to a Leray–Hopf weak solution	4
Equation-free patch scheme for efficient computational homogenisation via self-adjoint coupling	4
A posteriori error bounds for fully-discrete hp-discontinuous Galerkin timestepping methods for parabolic problems	4
New preconditioners for the Laplace and Helmholtz integral equations on open curves: analytical framework and numerical results	4
Incomplete iterative solution of subdiffusion	4
Stability properties of a projector-splitting scheme for dynamical low rank approximation of random parabolic equations	4
Large-stepsize integrators for charged-particle dynamics over multiple time scales	4
Continuous data assimilation for displacement in a porous medium	3
Numerical validation of blow-up solutions with quasi-homogeneous compactifications	3
Exponential convergence of hp FEM for spectral fractional diffusion in polygons	3
Exact discrete Lagrangian mechanics for nonholonomic mechanics	3
Higher-order time domain boundary elements for elastodynamics: graded meshes and hp versions	3
Mimicking relative continuum measurements by electrode data in two-dimensional electrical impedance tomography	3
Fast hyperbolic wavelet regression meets ANOVA	3
Efficient multivariate approximation on the cube	3
On the expansion of solutions of Laplace-like equations into traces of separable higher dimensional functions	3
Transparent boundary conditions for wave propagation in fractal trees: convolution quadrature approach	3
Projection in negative norms and the regularization of rough linear functionals	3
Minimum-correction second-moment matching: theory, algorithms and applications	3
Fiber product homotopy method for multiparameter eigenvalue problems	3
On superconvergence of Runge–Kutta convolution quadrature for the wave equation	3
Construction of weak solutions to compressible Navier–Stokes equations with general inflow/outflow boundary conditions via a numerical approximation	3
Functional a posteriori error estimates for boundary element methods	3
Second-order schemes for axisymmetric Navier–Stokes–Brinkman and transport equations modelling water filters	3
A mass-lumped mixed finite element method for acoustic wave propagation	3
On the accuracy of the finite volume approximations to nonlocal conservation laws	3
A priori and a posteriori error analysis of an unfitted HDG method for semi-linear elliptic problems	3
Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains	3
New analysis and recovery technique of mixed FEMs for compressible miscible displacement in porous media	3
A direct linear inversion for discontinuous elastic parameters recovery from internal displacement information only	3
Caccioppoli-type estimates and $$\mathcal {H}$$-matrix approximations to inverses for FEM-BEM couplings	3
Universal algorithms for computing spectra of periodic operators	3
An isogeometric mortar method for the coupling of multiple NURBS domains with optimal convergence rates	3
On the spectrum of Schur complements of 2D elastic clusters joined by rigid edge modes and hybrid domain decomposition	3
A DPG method for shallow shells	3
A convergence framework for optimal transport on the sphere	3
An adaptive time-stepping method based on a posteriori weak error analysis for large SDE systems	3
Asymptotic properties of a class of linearly implicit schemes for weakly compressible Euler equations	3
Non-asymptotic error estimates for the Laplace approximation in Bayesian inverse problems	3
Improved error estimates for the finite volume and the MAC schemes for the compressible Navier–Stokes system	3