OOIR: Observatory of International Research

Papers

(The median citation count of Electronic Transactions on Numerical Analysis is 0. 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 2022-05-01 to 2026-05-01.)

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	10
Augmentation-based preconditioners for saddle-point systems with singular leading blocks	8
A finite difference scheme for the approximation of the third initial boundary value parabolic problem	6
Iterative Lavrentiev regularization method under a heuristic rule for nonlinear ill-posed operator equations	6
Asymptotic estimates of the error bound for Gauss-Radau quadratures	6
A numerical method for solving systems of hypersingular integro-differential equations	6
On the numerical solution of an elliptic problem with nonlocal boundary conditions	5
Structured backward errors of sparse generalized saddle point problems with Hermitian block matrices	5
Regular convergence and finite element methods for eigenvalue problems	4
A Gauss-Laguerre approach for the resolvent of fractional powers	4
Nonequispaced Fast Fourier Transform Boost for the Sinkhorn Algorithm	4
Computation of Gauss-type quadrature rules	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
Convergence analysis of a Krylov subspace spectral method for the 1D wave equation in an inhomogeneous medium	4
A stable numerical method for integral epidemic models with behavioral changes in contact patterns	3
Symmetrization techniques in image deblurring	3
Fast evaluation of additive kernels: feature arrangement, Fourier methods, and kernel derivatives	3
Biased superiorization of steepest descent: redefining the reconstruction target in noisy inverse problems	3
An approach to discrete operator learning based on sparse high-dimensional approximation	3
Numerical stability of structure-preserving direct solvers for centrosymmetric linear systems	3
An enhancement of the convergence of the IDR method	3
Spectral properties of certain nonsymmetric saddle point matrices	3
Convergence of the Eberlein diagonalization method under generalized serial pivot strategies	3

Two-grid deflated Krylov methods for linear equations	2
Bayesian identification of material parameters in viscoelastic structures as an inverse problem in a semigroup setting	2
Order conditions for nonlinearly partitioned Runge-Kutta methods	2
LSEMINK: a modified Newton–Krylov method for Log-Sum-Exp minimization	2
Efficient third-order tensor-oriented directional splitting for exponential integrators	2
Domain truncation, absorbing boundary conditions, Schur complements, and Padé approximation	2
Operator ordering by ill-posedness in Hilbert and Banach spaces	2
Multi-scale spectral methods for bounded radially symmetric capillary surfaces	2
A novel Krylov subspace method for approximating Fréchet derivatives of large-scale matrix functions	2
Relative perturbation tanΘ-theorems for definite matrix pairs	2
Filtered polynomial interpolation for scaling 3D images	2
Explicit deflation in Golub-Kahan-Lanczos bidiagonalization methods	2
	2
A single shooting method with approximate Fréchet derivative for computing geodesics on the Stiefel manifold	2
On trigonometric interpolation in an even number of points	2
	2
Revisiting the notion of approximating class of sequences for handling approximated PDEs on moving or unbounded domains	1
The stability of split-preconditioned FGMRES in four precisions	1
A collocation method for a nonlocal tumor growth model	1
Quasi-orthogonalization for alternating non-negative tensor factorization	1
The bisection eigenvalue method for unitary Hessenberg matrices via their quasiseparable structure	1
Convergence rates of individual Ritz values in block preconditioned gradient-type eigensolvers	1
CP decomposition and low-rank approximation of antisymmetric tensors	1
On convergence and accuracy of the J-Jacobi method under the de Rijk pivot strategy	1
Fast computation of Sep$_\lambda$ via interpolation-based globality certificates	1
Rounding error analysis of linear recurrences using generating series	1
Numerical computation of the roots of Mandelbrot polynomials: an experimental analysis	1
A two-dimensional integral model of the first-kind for LIN electromagnetic data inversion	1
	1
A short-term rational Krylov method for linear inverse problems	1
A computational framework for edge-preserving regularization in dynamic inverse problems	1
RTSMS: Randomized Tucker with single-mode sketching	1
A Riemannian conjugate gradient method for solving the tensor fixed-rank least-squares problem	1
Internality of two-measure-based generalized Gauss quadrature rules for modified Chebyshev measures	1
A note on “Error bounds of Gaussian quadrature formulae with Legendre weight function for analytic integrands” by M. M. Spalević et al.	1
Rational symbolic cubature rules over the first quadrant in a Cartesian plane	1
Spectral function space learning and numerical linear algebra networks for solving linear inverse problems	1
A review of maximum-norm a posteriori error bounds for time-semidiscretisations of parabolic equations	0
	0
Conditioning of linear systems arising from penalty methods	0
Computing a few extreme singular triplets of a third-order tensor using the t-product	0
A new Legendre polynomial-based approach for non-autonomous linear ODEs	0
On Cvetković-Kostić-Varga type matrices	0
On the numerical solution of Volterra integral equations on equispaced nodes	0
	0
Software for limited memory restarted $l^p$-$l^q$ minimization methods using generalized Krylov subspaces	0
	0
Variational Poisson denoising via augmented Lagrangian methods	0
Averaged Nyström interpolants for bivariate Fredholm integral equations on the real positive semi-axes	0
An Arrow-Hurwicz-type iteration for the thermally coupled incompressible magnetohydrodynamics model with grad-div stabilization	0

A posteriori error estimates based on multilevel decompositions with an iterative solver on the coarsest level	0
Error analysis of a Jacobi modified projection-type method for weakly singular Volterra-Hammerstein integral equations	0
Range restricted iterative methods for linear discrete ill-posed problems	0
A matrix-free parallel solution method for the three-dimensional heterogeneous Helmholtz equation	0
Mobile disks in hyperbolic space and minimization of conformal capacity	0
Fractal approximations on the real projective plane	0
Inexact rational Krylov subspace methods for approximating the action of functions of matrices	0
A generalized Sassenfeld criterion and its relation to H-matrices	0
Computation of potential flow in multiply connected domains using conformal mapping	0
Parameter-free restoration of piecewise smooth images	0
A note on TT-GMRES for the solution of parametric linear systems	0
Evaluating Lebesgue constants by Chebyshev polynomial meshes on cube, simplex, and ball	0
An optimal method for recovering the mixed derivative $f^{(2,2)}$ of bivariate functions	0
Operator-dependent prolongation and restriction for the parameter-dependent multigrid method using low-rank tensor formats	0
Fully algebraic domain decomposition preconditioners with adaptive spectral bounds	0
A stable BIE method for the Laplace equation with Neumann boundary conditions in domains with piecewise smooth boundaries	0
Saddle point preconditioners for weak-constraint 4D-Var	0
Analysis of a one-dimensional nonlocal thermoelastic problem	0
Characterizations of adjoint Sobolev embedding operators with applications in inverse problems	0
	0
Global and quadratic convergence of the block Jacobi method for Hermitian matrices under the de Rijk pivot strategy	0
Preconditioned Chebyshev BiCG method for parameterized linear systems	0
Orthogonality on the semicircle: old and new results	0
Deautoconvolution in the two-dimensional case	0
Implicit–explicit scheme with multiscale Vanka two-grid solver for heterogeneous unsaturated poroelasticity	0
Optimal averaged Padé-type approximants	0
Inexact linear solves in the low-rank alternating direction implicit iteration for large Sylvester equations	0
Relaxation of the rank-1 tensor approximation using different norms	0
Constructing diffeomorphisms between simply connected plane domains-part 2	0
Preconditioning without a preconditioner using randomized block Krylov subspace methods	0
Structure-preserving discontinuous Galerkin approximation of a hyperbolic-parabolic system	0
Reuben Louis Rosenberg (1909–1986) and the Stein-Rosenberg theorem	0
Numerical computation of the half Laplacian by means of a fast convolution algorithm	0
A variational model for glyph extraction, theoretical aspects and implementation	0
A general class of iterative splitting methods for solving linear systems	0
The Neumann boundary condition for the two-dimensional Lax-Wendroff scheme. II	0
A class of Petrov-Galerkin Krylov methods for algebraic Riccati equations	0
A dilation quadrature formula for hypersingular and highly oscillatory integrals on the positive half-line	0
Quasi-optimality approach in the reconstruction of singularities in multi-term subdiffusion equations	0
Low-rank-modified Galerkin methods for the Lyapunov equation	0
A novel iterative time integration scheme for linear poroelasticity	0
Using $LDL^T$ factorizations in Newton's method for solving general large-scale algebraic Riccati equations	0
Asymptotic analysis of the normal inverse Gaussian cumulative distribution	0
Error estimates for Gauss-type quadrature rules for variable-sign weight functions	0
An evolutionary approach to the coefficient problems in the class of starlike functions	0
Polynomial preconditioning for the action of the matrix square root and inverse square root	0
Linear FDEM subsoil data inversion in Banach spaces	0
Improved bisection eigenvalue method for band symmetric Toeplitz matrices	0
Near-optimal convergence of the full orthogonalization method	0
On Runge-Kutta methods of order 10	0
Quasi-Monte Carlo and Discontinuous Galerkin	0
Simultaneous approximation of Hilbert and Hadamard transforms on bounded intervals	0
A computational method for multiple steady Hele-Shaw bubbles in planar domains	0
Gauss-type quadrature rules with respect to external zeros of the integrand	0
A block Toeplitz preconditioner for all-at-once systems from linear wave equations	0
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	0