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 2021-11-01 to 2025-11-01.)

Article	Citations
The structured distance to singularity of a symmetric tridiagonal Toeplitz matrix	12
Application of the Schur-Cohn Theorem to the precise convergence domain for a p-cyclic SOR iteration matrix	11
Augmentation-based preconditioners for saddle-point systems with singular leading blocks	10
A monolithic algebraic multigrid framework for multiphysics applications with examples from resistive MHD	10
Iterative Lavrentiev regularization method under a heuristic rule for nonlinear ill-posed operator equations	8
A linear barycentric rational interpolant on starlike domains	8
A numerical method for solving systems of hypersingular integro-differential equations	7
On the numerical solution of an elliptic problem with nonlocal boundary conditions	6
Structured backward errors of sparse generalized saddle point problems with Hermitian block matrices	6
Asymptotic estimates of the error bound for Gauss-Radau quadratures	6
A space-time isogeometric method for the partial differential-algebraic system of Biot's poroelasticity model	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	5
Regular convergence and finite element methods for eigenvalue problems	5
A contribution to the conditioning of the mixed least-squares scaled total least-squares problem	5
A Gauss-Laguerre approach for the resolvent of fractional powers	5
Rectangular GLT sequences	4
Optimal $W^{1,\infty}$-estimates for an isoparametric finite element discretization of elliptic boundary value problems	4
Computation of Gauss-type quadrature rules	4
Convergence analysis of a Krylov subspace spectral method for the 1D wave equation in an inhomogeneous medium	4
Nonequispaced Fast Fourier Transform Boost for the Sinkhorn Algorithm	4
Structured condition numbers for a linear function of the solution of the generalized saddle point problem	4
Dimensional reduction for multivariate Lagrange polynomial interpolation problems	4
An approach to discrete operator learning based on sparse high-dimensional approximation	3
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
Error bounds for Gaussian quadrature formulae with Legendre weight function for analytic integrands	3
Spectral properties of certain nonsymmetric saddle point matrices	3
Numerical stability of structure-preserving direct solvers for centrosymmetric linear systems	3
On the tangential cone condition for electrical impedance tomography	3
Convergence of the Eberlein diagonalization method under generalized serial pivot strategies	3
A decoupling finite element method with different time steps for the micropolar fluid model	3
A stable numerical method for integral epidemic models with behavioral changes in contact patterns	3
Order conditions for nonlinearly partitioned Runge-Kutta methods	3
Symmetrization techniques in image deblurring	3
Relative perturbation tanΘ-theorems for definite matrix pairs	2
Fast computation of Sep$_\lambda$ via interpolation-based globality certificates	2
A Riemannian conjugate gradient method for solving the tensor fixed-rank least-squares problem	2
Efficient third-order tensor-oriented directional splitting for exponential integrators	2
Multi-scale spectral methods for bounded radially symmetric capillary surfaces	2
Decomposition and composition of deep convolutional neural networks and training acceleration via sub-network transfer learning	2
A posteriori error estimates for stabilised mixed finite element methods for a nonlinear elliptic problem	2
On trigonometric interpolation in an even number of points	2
LSEMINK: a modified Newton–Krylov method for Log-Sum-Exp minimization	2
One-step convergence of inexact Anderson acceleration for contractive and non-contractive mappings	2
A deep learning based nonlinear upscaling method for transport equations	2
A computational framework for edge-preserving regularization in dynamic inverse problems	2
A single shooting method with approximate Fréchet derivative for computing geodesics on the Stiefel manifold	2
Filtered polynomial interpolation for scaling 3D images	2
Operator ordering by ill-posedness in Hilbert and Banach spaces	2
	2
Two-grid deflated Krylov methods for linear equations	2
RTSMS: Randomized Tucker with single-mode sketching	2
Revisiting the notion of approximating class of sequences for handling approximated PDEs on moving or unbounded domains	2
CP decomposition and low-rank approximation of antisymmetric tensors	2
Multigrid reduction in time for non-linear hyperbolic equations	2
Domain truncation, absorbing boundary conditions, Schur complements, and Padé approximation	2
	2
Well-defined forward operators in dynamic diffractive tensor tomography using viscosity solutions of transport equations	2
	1
Deautoconvolution in the two-dimensional case	1
Mobile disks in hyperbolic space and minimization of conformal capacity	1
Improved bisection eigenvalue method for band symmetric Toeplitz matrices	1
Range restricted iterative methods for linear discrete ill-posed problems	1
An evolutionary approach to the coefficient problems in the class of starlike functions	1
Analysis of stability and convergence for L-type formulas combined with a spatial finite element method for solving subdiffusion problems	1
Preconditioned Chebyshev BiCG method for parameterized linear systems	1
Quasi-orthogonalization for alternating non-negative tensor factorization	1
Convergence rates of individual Ritz values in block preconditioned gradient-type eigensolvers	1
The stability of split-preconditioned FGMRES in four precisions	1
A collocation method for a nonlocal tumor growth model	1
A short-term rational Krylov method for linear inverse problems	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
Internality of two-measure-based generalized Gauss quadrature rules for modified Chebyshev measures	1

Inexact linear solves in the low-rank alternating direction implicit iteration for large Sylvester equations	1
	1
An Arrow-Hurwicz-type iteration for the thermally coupled incompressible magnetohydrodynamics model with grad-div stabilization	1
Multivariate fractal interpolation functions: some approximation aspects and an associated fractal interpolation operator	1
On a compensated Ehrlich-Aberth method for the accurate computation of all polynomial roots	1
A two-dimensional integral model of the first-kind for LIN electromagnetic data inversion	1
Rational symbolic cubature rules over the first quadrant in a Cartesian plane	1
Rounding error analysis of linear recurrences using generating series	1
Synchronous and asynchronous optimized Schwarz methods for Poisson's equation in rectangular domains	1
Linear FDEM subsoil data inversion in Banach spaces	1
A hybrid objective function for robustness of artificial neural networks-estimation of parameters in a mechanical system	1
A generalized Sassenfeld criterion and its relation to H-matrices	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
Error analysis of a Jacobi modified projection-type method for weakly singular Volterra-Hammerstein integral equations	1
A note on “Error bounds of Gaussian quadrature formulae with Legendre weight function for analytic integrands” by M. M. Spalević et al.	1
Surrogate convolutional neural network models for steady computational fluid dynamics simulations	1
When does the Lanczos algorithm compute exactly?	1
The bisection eigenvalue method for unitary Hessenberg matrices via their quasiseparable structure	1
Numerical computation of the roots of Mandelbrot polynomials: an experimental analysis	1
Approximation of a marine ecosystem model by artificial neural networks	1