OOIR: Observatory of International Research

Papers

(The median citation count of Electronic Transactions on Numerical Analysis is 1. 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 2022-01-01 to 2026-01-01.)

Article	Citations
The structured distance to singularity of a symmetric tridiagonal Toeplitz matrix	14
Augmentation-based preconditioners for saddle-point systems with singular leading blocks	12
Application of the Schur-Cohn Theorem to the precise convergence domain for a p-cyclic SOR iteration matrix	12
A linear barycentric rational interpolant on starlike domains	10
A monolithic algebraic multigrid framework for multiphysics applications with examples from resistive MHD	8
A numerical method for solving systems of hypersingular integro-differential equations	8
Iterative Lavrentiev regularization method under a heuristic rule for nonlinear ill-posed operator equations	8
A space-time isogeometric method for the partial differential-algebraic system of Biot's poroelasticity model	7
On the numerical solution of an elliptic problem with nonlocal boundary conditions	6
Regular convergence and finite element methods for eigenvalue problems	6
Asymptotic estimates of the error bound for Gauss-Radau quadratures	6
Structured backward errors of sparse generalized saddle point problems with Hermitian block matrices	6
A contribution to the conditioning of the mixed least-squares scaled total least-squares problem	6
A finite difference scheme for the approximation of the third initial boundary value parabolic problem	6
Regularized functional matching pursuit for the spherical multiple-shell electro-magnetoencephalography problem	6
A Gauss-Laguerre approach for the resolvent of fractional powers	5
Dimensional reduction for multivariate Lagrange polynomial interpolation problems	5
Computation of Gauss-type quadrature rules	5
Nonequispaced Fast Fourier Transform Boost for the Sinkhorn Algorithm	4
A stable numerical method for integral epidemic models with behavioral changes in contact patterns	4
Rectangular GLT sequences	4
Optimal $W^{1,\infty}$-estimates for an isoparametric finite element discretization of elliptic boundary value problems	4
Error bounds for Gaussian quadrature formulae with Legendre weight function for analytic integrands	4
Structured condition numbers for a linear function of the solution of the generalized saddle point problem	4
Convergence analysis of a Krylov subspace spectral method for the 1D wave equation in an inhomogeneous medium	4

An approach to discrete operator learning based on sparse high-dimensional approximation	4
An enhancement of the convergence of the IDR method	3
Porting an aggregation-based algebraic multigrid method to GPUs	3
Explicit deflation in Golub-Kahan-Lanczos bidiagonalization methods	3
	3
Symmetrization techniques in image deblurring	3
Convergence of the Eberlein diagonalization method under generalized serial pivot strategies	3
Numerical stability of structure-preserving direct solvers for centrosymmetric linear systems	3
On the tangential cone condition for electrical impedance tomography	3
Order conditions for nonlinearly partitioned Runge-Kutta methods	3
A decoupling finite element method with different time steps for the micropolar fluid model	3
Spectral properties of certain nonsymmetric saddle point matrices	3
Fast evaluation of additive kernels: feature arrangement, Fourier methods, and kernel derivatives	3
	3
A posteriori error estimates for stabilised mixed finite element methods for a nonlinear elliptic problem	2
Multi-scale spectral methods for bounded radially symmetric capillary surfaces	2
Operator ordering by ill-posedness in Hilbert and Banach spaces	2
Filtered polynomial interpolation for scaling 3D images	2
CP decomposition and low-rank approximation of antisymmetric tensors	2
RTSMS: Randomized Tucker with single-mode sketching	2
The stability of split-preconditioned FGMRES in four precisions	2
Spectral function space learning and numerical linear algebra networks for solving linear inverse problems	2
Multigrid reduction in time for non-linear hyperbolic equations	2
Well-defined forward operators in dynamic diffractive tensor tomography using viscosity solutions of transport equations	2
Decomposition and composition of deep convolutional neural networks and training acceleration via sub-network transfer learning	2
Relative perturbation tanΘ-theorems for definite matrix pairs	2
Efficient third-order tensor-oriented directional splitting for exponential integrators	2
A Riemannian conjugate gradient method for solving the tensor fixed-rank least-squares problem	2
A computational framework for edge-preserving regularization in dynamic inverse problems	2
A deep learning based nonlinear upscaling method for transport equations	2
On trigonometric interpolation in an even number of points	2
A single shooting method with approximate Fréchet derivative for computing geodesics on the Stiefel manifold	2
Domain truncation, absorbing boundary conditions, Schur complements, and Padé approximation	2
LSEMINK: a modified Newton–Krylov method for Log-Sum-Exp minimization	2
Two-grid deflated Krylov methods for linear equations	2
A short-term rational Krylov method for linear inverse problems	2
Fast computation of Sep$_\lambda$ via interpolation-based globality certificates	2
Revisiting the notion of approximating class of sequences for handling approximated PDEs on moving or unbounded domains	2
One-step convergence of inexact Anderson acceleration for contractive and non-contractive mappings	2
An Arrow-Hurwicz-type iteration for the thermally coupled incompressible magnetohydrodynamics model with grad-div stabilization	1
An evolutionary approach to the coefficient problems in the class of starlike functions	1
A collocation method for a nonlocal tumor growth model	1
The degree of ill-posedness of composite linear ill-posed problems with focus on the impact of the non-compact Hausdorff moment operator	1
Preconditioned Chebyshev BiCG method for parameterized linear systems	1
Surrogate convolutional neural network models for steady computational fluid dynamics simulations	1
Inexact linear solves in the low-rank alternating direction implicit iteration for large Sylvester equations	1
On a compensated Ehrlich-Aberth method for the accurate computation of all polynomial roots	1
Improved bisection eigenvalue method for band symmetric Toeplitz matrices	1
Rational symbolic cubature rules over the first quadrant in a Cartesian plane	1
Mobile disks in hyperbolic space and minimization of conformal capacity	1

Linear FDEM subsoil data inversion in Banach spaces	1
A note on the spectral analysis of matrix sequences via GLT momentary symbols: from all-at-once solution of parabolic problems to distributed fractional order matrices	1
	1
Rounding error analysis of linear recurrences using generating series	1
The bisection eigenvalue method for unitary Hessenberg matrices via their quasiseparable structure	1
Synchronous and asynchronous optimized Schwarz methods for Poisson's equation in rectangular domains	1
A note on “Error bounds of Gaussian quadrature formulae with Legendre weight function for analytic integrands” by M. M. Spalević et al.	1
Quasi-orthogonalization for alternating non-negative tensor factorization	1
Range restricted iterative methods for linear discrete ill-posed problems	1
When does the Lanczos algorithm compute exactly?	1
	1
Deautoconvolution in the two-dimensional case	1
Error analysis of a Jacobi modified projection-type method for weakly singular Volterra-Hammerstein integral equations	1
Numerical computation of the roots of Mandelbrot polynomials: an experimental analysis	1
Approximation of a marine ecosystem model by artificial neural networks	1
Internality of two-measure-based generalized Gauss quadrature rules for modified Chebyshev measures	1
Analysis of stability and convergence for L-type formulas combined with a spatial finite element method for solving subdiffusion problems	1
On Runge-Kutta methods of order 10	1
A two-dimensional integral model of the first-kind for LIN electromagnetic data inversion	1
A generalized Sassenfeld criterion and its relation to H-matrices	1
Convergence rates of individual Ritz values in block preconditioned gradient-type eigensolvers	1
Multivariate fractal interpolation functions: some approximation aspects and an associated fractal interpolation operator	1