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 2022-08-01 to 2026-08-01.)

Article	Citations
The structured distance to singularity of a symmetric tridiagonal Toeplitz matrix	13
Augmentation-based preconditioners for saddle-point systems with singular leading blocks	10
Application of the Schur-Cohn Theorem to the precise convergence domain for a p-cyclic SOR iteration matrix	9
Iterative Lavrentiev regularization method under a heuristic rule for nonlinear ill-posed operator equations	8
A finite difference scheme for the approximation of the third initial boundary value parabolic problem	7
Structured backward errors of sparse generalized saddle point problems with Hermitian block matrices	7
Asymptotic estimates of the error bound for Gauss-Radau quadratures	6
On the numerical solution of an elliptic problem with nonlocal boundary conditions	6
A numerical method for solving systems of hypersingular integro-differential equations	6
Regular convergence and finite element methods for eigenvalue problems	5
Again about the numerical solution of systems of linear algebraic equations with symmetric nonsingular nondefinite matrices by the Lanczos method	4
Nonequispaced Fast Fourier Transform Boost for the Sinkhorn Algorithm	4
Dimensional reduction for multivariate Lagrange polynomial interpolation problems	4
A stable numerical method for integral epidemic models with behavioral changes in contact patterns	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
Structured condition numbers for a linear function of the solution of the generalized saddle point problem	4
Biased superiorization of steepest descent: redefining the reconstruction target in noisy inverse problems	4
A Gauss-Laguerre approach for the resolvent of fractional powers	4
An approach to discrete operator learning based on sparse high-dimensional approximation	4
Spectral properties of certain nonsymmetric saddle point matrices	3
Convergence of the Eberlein diagonalization method under generalized serial pivot strategies	3
Explicit deflation in Golub-Kahan-Lanczos bidiagonalization methods	3
Order conditions for nonlinearly partitioned Runge-Kutta methods	3
An enhancement of the convergence of the IDR method	3

Numerical stability of structure-preserving direct solvers for centrosymmetric linear systems	3
Fast evaluation of additive kernels: feature arrangement, Fourier methods, and kernel derivatives	3
Symmetrization techniques in image deblurring	3
Operator ordering by ill-posedness in Hilbert and Banach spaces	3
Two-grid deflated Krylov methods for linear equations	3
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
Relative perturbation tanΘ-theorems for definite matrix pairs	2
On trigonometric interpolation in an even number of points	2
CP decomposition and low-rank approximation of antisymmetric tensors	2
LSEMINK: a modified Newton–Krylov method for Log-Sum-Exp minimization	2
A novel Krylov subspace method for approximating Fréchet derivatives of large-scale matrix functions	2
Filtered polynomial interpolation for scaling 3D images	2
	2
Spectral function space learning and numerical linear algebra networks for solving linear inverse problems	2
A computational framework for edge-preserving regularization in dynamic inverse problems	2
	2
Multi-scale spectral methods for bounded radially symmetric capillary surfaces	2
A single shooting method with approximate Fréchet derivative for computing geodesics on the Stiefel manifold	2
Efficient third-order tensor-oriented directional splitting for exponential integrators	2
On convergence and accuracy of the J-Jacobi method under the de Rijk pivot strategy	2
An a posteriori error estimator for electrically coupled liquid-crystal equilibrium configurations	2
Rational symbolic cubature rules over the first quadrant in a Cartesian plane	1
Numerical computation of the roots of Mandelbrot polynomials: an experimental analysis	1
Fast computation of Sep$_\lambda$ via interpolation-based globality certificates	1
	1
A short-term rational Krylov method for linear inverse problems	1
Preconditioned Chebyshev BiCG method for parameterized linear systems	1
Deautoconvolution in the two-dimensional case	1
Quasi-orthogonalization for alternating non-negative tensor factorization	1
A collocation method for a nonlocal tumor growth model	1
The stability of split-preconditioned FGMRES in four precisions	1
Revisiting the notion of approximating class of sequences for handling approximated PDEs on moving or unbounded domains	1
RTSMS: Randomized Tucker with single-mode sketching	1
A simplified iterated Lavrentiev regularization method for nonlinear ill-posed monotone operator equations under a heuristic rule	1
An Arrow-Hurwicz-type iteration for the thermally coupled incompressible magnetohydrodynamics model with grad-div stabilization	1
Linear FDEM subsoil data inversion in Banach spaces	1
A two-dimensional integral model of the first-kind for LIN electromagnetic data inversion	1
Rounding error analysis of linear recurrences using generating series	1
A Riemannian conjugate gradient method for solving the tensor fixed-rank least-squares problem	1
Shape reconstruction of inclusions based on noisy data via monotonicity methods for the time-harmonic elastic wave equation	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
An evolutionary approach to the coefficient problems in the class of starlike functions	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
Conditioning of linear systems arising from penalty methods	0
Fractal approximations on the real projective plane	0
A computational method for multiple steady Hele-Shaw bubbles in planar domains	0
Operator-dependent prolongation and restriction for the parameter-dependent multigrid method using low-rank tensor formats	0

An extended two-step method for solving generalized inverse eigenvalue problems	0
Error estimates for Gauss-type quadrature rules for variable-sign weight functions	0
On Cvetković-Kostić-Varga type matrices	0
Monolithic and block overlapping Schwarz preconditioners for the incompressible Navier-Stokes equations	0
A stable BIE method for the Laplace equation with Neumann boundary conditions in domains with piecewise smooth boundaries	0
Reuben Louis Rosenberg (1909–1986) and the Stein-Rosenberg theorem	0
Computing a few extreme singular triplets of a third-order tensor using the t-product	0
Parameter-free restoration of piecewise smooth images	0
Analysis of a one-dimensional nonlocal thermoelastic problem	0
Numerical computation of the half Laplacian by means of a fast convolution algorithm	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
A new Legendre polynomial-based approach for non-autonomous linear ODEs	0
Inexact linear solves in the low-rank alternating direction implicit iteration for large Sylvester equations	0
Near-optimal convergence of the full orthogonalization method	0
Computation of potential flow in multiply connected domains using conformal mapping	0
A new stable and inversion-free iteration for computing the matrix square root of large and sparse matrices	0
Optimal averaged Padé-type approximants	0
A general class of iterative splitting methods for solving linear systems	0
Relaxation of the rank-1 tensor approximation using different norms	0
Inexact rational Krylov subspace methods for approximating the action of functions of matrices	0
Regularization of port-Hamiltonian descriptor systems	0
Preconditioning without a preconditioner using randomized block Krylov subspace methods	0
Polynomial preconditioning for the action of the matrix square root and inverse square root	0
A dilation quadrature formula for hypersingular and highly oscillatory integrals on the positive half-line	0
Quasi-Monte Carlo and Discontinuous Galerkin	0
An optimal method for recovering the mixed derivative $f^{(2,2)}$ of bivariate functions	0
Low-rank-modified Galerkin methods for the Lyapunov equation	0
A class of Petrov-Galerkin Krylov methods for algebraic Riccati equations	0
The Neumann boundary condition for the two-dimensional Lax-Wendroff scheme. II	0
A novel iterative time integration scheme for linear poroelasticity	0
Software for limited memory restarted $l^p$-$l^q$ minimization methods using generalized Krylov subspaces	0
Saddle point preconditioners for weak-constraint 4D-Var	0
Simultaneous approximation of Hilbert and Hadamard transforms on bounded intervals	0
Structure-preserving discontinuous Galerkin approximation of a hyperbolic-parabolic system	0
Fully algebraic domain decomposition preconditioners with adaptive spectral bounds	0
A generalized Sassenfeld criterion and its relation to H-matrices	0
	0
On Runge-Kutta methods of order 10	0
Evaluating Lebesgue constants by Chebyshev polynomial meshes on cube, simplex, and ball	0
Constructing diffeomorphisms between simply connected plane domains-part 2	0
Gauss-type quadrature rules with respect to external zeros of the integrand	0
Asymptotic analysis of the normal inverse Gaussian cumulative distribution	0
	0
Uniform asymptotic approximation and numerical evaluation of the reverse generalized Bessel polynomial zeros	0
A block Toeplitz preconditioner for all-at-once systems from linear wave equations	0
Iterative solvers for partial differential equations with dissipative structure: operator preconditioning and optimal control	0
	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
A review of maximum-norm a posteriori error bounds for time-semidiscretisations of parabolic equations	0
Orthogonality on the semicircle: old and new results	0
Using $LDL^T$ factorizations in Newton's method for solving general large-scale algebraic Riccati equations	0
Characterizations of adjoint Sobolev embedding operators with applications in inverse problems	0
Parallel-in-iteration optimization using multigrid reduction in time	0
	0
Global and quadratic convergence of the block Jacobi method for Hermitian matrices under the de Rijk pivot strategy	0
Quasi-optimality approach in the reconstruction of singularities in multi-term subdiffusion equations	0
Error bounds of Clenshaw-Curtis and related quadratures for functions analytic on ellipses	0
Numerical approximation of Caputo-type advection-diffusion equations via shifted Chebyshev polynomials	0
Error analysis of a Jacobi modified projection-type method for weakly singular Volterra-Hammerstein integral equations	0
A variational model for glyph extraction, theoretical aspects and implementation	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
Implicit–explicit scheme with multiscale Vanka two-grid solver for heterogeneous unsaturated poroelasticity	0
Variational Poisson denoising via augmented Lagrangian methods	0
On the numerical solution of Volterra integral equations on equispaced nodes	0
A matrix-free parallel solution method for the three-dimensional heterogeneous Helmholtz equation	0
A note on TT-GMRES for the solution of parametric linear systems	0