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 2022-06-01 to 2026-06-01.)

Article	Citations
The structured distance to singularity of a symmetric tridiagonal Toeplitz matrix	13
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
Iterative Lavrentiev regularization method under a heuristic rule for nonlinear ill-posed operator equations	7
A numerical method for solving systems of hypersingular integro-differential equations	6
A finite difference scheme for the approximation of the third initial boundary value parabolic problem	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	5
On the numerical solution of an elliptic problem with nonlocal boundary conditions	5
Regular convergence and finite element methods for eigenvalue problems	4
Biased superiorization of steepest descent: redefining the reconstruction target in noisy inverse problems	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
Computation of Gauss-type quadrature rules	4
A stable numerical method for integral epidemic models with behavioral changes in contact patterns	4
Convergence analysis of a Krylov subspace spectral method for the 1D wave equation in an inhomogeneous medium	4
A Gauss-Laguerre approach for the resolvent of fractional powers	4
Nonequispaced Fast Fourier Transform Boost for the Sinkhorn Algorithm	4
An approach to discrete operator learning based on sparse high-dimensional approximation	4
Convergence of the Eberlein diagonalization method under generalized serial pivot strategies	3
Spectral properties of certain nonsymmetric saddle point matrices	3
An enhancement of the convergence of the IDR method	3
Explicit deflation in Golub-Kahan-Lanczos bidiagonalization methods	3
Symmetrization techniques in image deblurring	3
Numerical stability of structure-preserving direct solvers for centrosymmetric linear systems	3

Two-grid deflated Krylov methods for linear equations	2
Relative perturbation tanΘ-theorems for definite matrix pairs	2
Spectral function space learning and numerical linear algebra networks for solving linear inverse problems	2
Filtered polynomial interpolation for scaling 3D images	2
Multi-scale spectral methods for bounded radially symmetric capillary surfaces	2
Fast evaluation of additive kernels: feature arrangement, Fourier methods, and kernel derivatives	2
Operator ordering by ill-posedness in Hilbert and Banach spaces	2
On trigonometric interpolation in an even number of points	2
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Revisiting the notion of approximating class of sequences for handling approximated PDEs on moving or unbounded domains	2
	2
Order conditions for nonlinearly partitioned Runge-Kutta methods	2
A single shooting method with approximate Fréchet derivative for computing geodesics on the Stiefel manifold	2
LSEMINK: a modified Newton–Krylov method for Log-Sum-Exp minimization	2
Efficient third-order tensor-oriented directional splitting for exponential integrators	2
A computational framework for edge-preserving regularization in dynamic inverse problems	2
A novel Krylov subspace method for approximating Fréchet derivatives of large-scale matrix functions	2
Bayesian identification of material parameters in viscoelastic structures as an inverse problem in a semigroup setting	2
Domain truncation, absorbing boundary conditions, Schur complements, and Padé approximation	2
Rounding error analysis of linear recurrences using generating series	1
CP decomposition and low-rank approximation of antisymmetric tensors	1
A collocation method for a nonlocal tumor growth model	1
The stability of split-preconditioned FGMRES in four precisions	1
A two-dimensional integral model of the first-kind for LIN electromagnetic data inversion	1
A note on “Error bounds of Gaussian quadrature formulae with Legendre weight function for analytic integrands” by M. M. Spalević et al.	1
An Arrow-Hurwicz-type iteration for the thermally coupled incompressible magnetohydrodynamics model with grad-div stabilization	1
A short-term rational Krylov method for linear inverse problems	1
Fast computation of Sep$_\lambda$ via interpolation-based globality certificates	1
A Riemannian conjugate gradient method for solving the tensor fixed-rank least-squares problem	1
The bisection eigenvalue method for unitary Hessenberg matrices via their quasiseparable structure	1
Quasi-orthogonalization for alternating non-negative tensor factorization	1
Deautoconvolution in the two-dimensional case	1
	1
Numerical computation of the roots of Mandelbrot polynomials: an experimental analysis	1
RTSMS: Randomized Tucker with single-mode sketching	1
On convergence and accuracy of the J-Jacobi method under the de Rijk pivot strategy	1
Rational symbolic cubature rules over the first quadrant in a Cartesian plane	1
Convergence rates of individual Ritz values in block preconditioned gradient-type eigensolvers	1
Internality of two-measure-based generalized Gauss quadrature rules for modified Chebyshev measures	1
An evolutionary approach to the coefficient problems in the class of starlike functions	1
Optimal averaged Padé-type approximants	0
Orthogonality on the semicircle: old and new results	0
Parameter-free restoration of piecewise smooth images	0
Numerical computation of the half Laplacian by means of a fast convolution algorithm	0
An optimal method for recovering the mixed derivative $f^{(2,2)}$ of bivariate functions	0
	0
Monolithic and block overlapping Schwarz preconditioners for the incompressible Navier-Stokes equations	0
Operator-dependent prolongation and restriction for the parameter-dependent multigrid method using low-rank tensor formats	0
Low-rank-modified Galerkin methods for the Lyapunov equation	0
Software for limited memory restarted $l^p$-$l^q$ minimization methods using generalized Krylov subspaces	0

	0
A novel iterative time integration scheme for linear poroelasticity	0
Near-optimal convergence of the full orthogonalization method	0
A block Toeplitz preconditioner for all-at-once systems from linear wave equations	0
A new Legendre polynomial-based approach for non-autonomous linear ODEs	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
Polynomial preconditioning for the action of the matrix square root and inverse square root	0
A generalized Sassenfeld criterion and its relation to H-matrices	0
Uniform asymptotic approximation and numerical evaluation of the reverse generalized Bessel polynomial zeros	0
Inexact linear solves in the low-rank alternating direction implicit iteration for large Sylvester equations	0
Gauss-type quadrature rules with respect to external zeros of the integrand	0
A computational method for multiple steady Hele-Shaw bubbles in planar domains	0
Preconditioning without a preconditioner using randomized block Krylov subspace methods	0
Asymptotic analysis of the normal inverse Gaussian cumulative distribution	0
Relaxation of the rank-1 tensor approximation using different norms	0
Simultaneous approximation of Hilbert and Hadamard transforms on bounded intervals	0
Linear FDEM subsoil data inversion in Banach spaces	0
A review of maximum-norm a posteriori error bounds for time-semidiscretisations of parabolic equations	0
Using $LDL^T$ factorizations in Newton's method for solving general large-scale algebraic Riccati equations	0
Conditioning of linear systems arising from penalty methods	0
Parallel-in-iteration optimization using multigrid reduction in time	0
On Cvetković-Kostić-Varga type matrices	0
Characterizations of adjoint Sobolev embedding operators with applications in inverse problems	0
On the numerical solution of Volterra integral equations on equispaced nodes	0
The Neumann boundary condition for the two-dimensional Lax-Wendroff scheme. II	0
A dilation quadrature formula for hypersingular and highly oscillatory integrals on the positive half-line	0
Computing a few extreme singular triplets of a third-order tensor using the t-product	0
A note on TT-GMRES for the solution of parametric linear systems	0
	0
Error analysis of a Jacobi modified projection-type method for weakly singular Volterra-Hammerstein integral equations	0
Evaluating Lebesgue constants by Chebyshev polynomial meshes on cube, simplex, and ball	0
Range restricted iterative methods for linear discrete ill-posed problems	0
Averaged Nyström interpolants for bivariate Fredholm integral equations on the real positive semi-axes	0
Mobile disks in hyperbolic space and minimization of conformal capacity	0
Quasi-Monte Carlo and Discontinuous Galerkin	0
Variational Poisson denoising via augmented Lagrangian methods	0
	0
On Runge-Kutta methods of order 10	0
Computation of potential flow in multiply connected domains using conformal mapping	0
Error estimates for Gauss-type quadrature rules for variable-sign weight functions	0
A general class of iterative splitting methods for solving linear systems	0
A class of Petrov-Galerkin Krylov methods for algebraic Riccati equations	0
Structure-preserving discontinuous Galerkin approximation of a hyperbolic-parabolic system	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
Quasi-optimality approach in the reconstruction of singularities in multi-term subdiffusion equations	0
Reuben Louis Rosenberg (1909–1986) and the Stein-Rosenberg theorem	0
Analysis of a one-dimensional nonlocal thermoelastic problem	0
Fully algebraic domain decomposition preconditioners with adaptive spectral bounds	0
Global and quadratic convergence of the block Jacobi method for Hermitian matrices under the de Rijk pivot strategy	0
A variational model for glyph extraction, theoretical aspects and implementation	0
Preconditioned Chebyshev BiCG method for parameterized linear systems	0
A posteriori error estimates based on multilevel decompositions with an iterative solver on the coarsest level	0
Improved bisection eigenvalue method for band symmetric Toeplitz matrices	0
Implicit–explicit scheme with multiscale Vanka two-grid solver for heterogeneous unsaturated poroelasticity	0
Inexact rational Krylov subspace methods for approximating the action of functions of matrices	0
A matrix-free parallel solution method for the three-dimensional heterogeneous Helmholtz equation	0
Constructing diffeomorphisms between simply connected plane domains-part 2	0
Fractal approximations on the real projective plane	0