OOIR: Observatory of International Research

Papers

(The median citation count of Calcolo 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 2022-05-01 to 2026-05-01.)

Article	Citations
Finite volume scheme and renormalized solutions for nonlinear elliptic Neumann problem with $$L^1$$ data	31
Adaptive finite element approximation of bilinear optimal control problem with fractional Laplacian	20
Robust numerical schemes for time delayed singularly perturbed parabolic problems with discontinuous convection and source terms	16
A posteriori error estimates and adaptivity for the continuous Galerkin time-stepping method for nonlinear initial value problems	15
Correction to: A Gauss–Newton method for mixed least squares-total least squares problems	13
Anderson acceleration of the tensor relaxation Jacobi method for solving Sylvester tensor equations	12
ConvStabNet: a CNN-based approach for the prediction of local stabilization parameter for SUPG scheme	11
Numerical solution of the space-time fractional diffusion equation based on fractional reproducing kernel collocation method	10
High-order multistep Mittag–Leffler integrator for solving time-fractional diffusion-wave equation	9
Implementation improvements and extensions of an ODE-based algorithm for structured low-rank approximation	9
On deflated CGW methods for solving nonsymmetric positive definite linear systems	9
Anisotropic Raviart–Thomas interpolation error estimates using a new geometric parameter	9
Perturbation theory and error analysis for the Cauchy formula	9
Numerical methods for the forward and backward problems of a time-space fractional diffusion equation	9
A computational method for singularly perturbed reaction–diffusion type system of integro-differential equations with discontinuous source term	9
Mean-square convergence and stability of compensated stochastic theta methods for jump-diffusion SDEs with super-linearly growing coefficients	8
Existence of smooth solutions to the 3D Navier–Stokes equations based on numerical solutions by the Crank–Nicolson finite element method	8
Energy-norm and balanced-norm supercloseness error analysis of a finite volume method on Shishkin meshes for singularly perturbed reaction–diffusion problems	8
Moore–Penrose inverse-based methods for computing all D-eigenpairs of a diffusion kurtosis tensor	8
Robust Arrow–Hurwicz method for high–Rayleigh number Boussinesq flow	8
Delay-dependent stability of predictor–corrector methods of Runge–Kutta type for stochastic delay differential equations	8
Fast barycentric rational interpolations for complex functions with some singularities	7
Embedded (4, 5) pairs of explicit 7-stage Runge–Kutta methods with FSAL property	7
On why using $${{\mathbb {D}}}{{\mathbb {L}}}(P)$$ for the symmetric polynomial eigenvalue problem might need to be reconsidered	7
Spectral methods in space and time for parabolic problems on semi-infinite domains	7

A decoupled, conservative virtual element method for inductionless magnetohydrodynamic equations	7
Analysis of a local discontinuous Galerkin method for the Cahn–Hilliard equation using convex-concave decomposition	7
Stage-based interpolation Runge–Kutta methods for nonlinear Volterra functional differential equations	6
Maximum time step for high order BDF methods applied to gradient flows	6
An unconditional boundary and dynamics preserving scheme for the stochastic epidemic model	6
On the convergence of numerical integration as a finite matrix approximation to multiplication operator	6
Stability and error estimation based on a difference-spectral approximation for the Cahn–Hilliard equation in complex domains	6
$$C^4$$ interpolation and smoothing exponential splines based on a sixth order differential operator with two parameters	5
Improved modulus-based matrix splitting iteration method for horizontal implicit complementarity problems	5
Operator splitting FEM for 2D parabolic convection diffusion shift problems	5
Second-order energy-stable scheme and superconvergence for the finite difference method on non-uniform grids for the viscous Cahn–Hilliard equation	4
A randomized block Douglas–Rachford method for solving linear matrix equation	4
Banach spaces-based mixed finite element methods for a steady sedimentation-consolidation system	4
On the tensor spectral $${\textbf{p}}$$-norm and its higher order power method	4
Reproducing kernel-based piecewise methods for efficiently solving oscillatory systems of second-order initial value problems	4
Stability analysis of linear fractional neutral delay differential equations	4
Local discontinuous Galerkin method for the time-fractional Oseen equations	4
The wavelet Galerkin method for fractional delay differential equations	4
Supercloseness of the NIPG method for a singularly perturbed convection diffusion problem on Shishkin mesh	3
Exponential convergence of some recent numerical quadrature methods for Hadamard finite parts of singular integrals of periodic analytic functions	3
Positivity preserving truncated scheme for the stochastic Lotka–Volterra model with small moment convergence	3
A two-grid temporal second-order scheme for the two-dimensional nonlinear Volterra integro-differential equation with weakly singular kernel	3
Convergence of a Jacobi-type method for the approximate orthogonal tensor diagonalization	3
Structured backward error and stopping criterion for the iterative solution of double saddle point system	3
On the acceleration of optimal regularization algorithms for linear ill-posed inverse problems	3
A priori and a posteriori error analysis for a VEM discretization of the convection–diffusion eigenvalue problem	3
Iterative optimal solutions of linear matrix equations for hyperspectral and multispectral image fusing	3
Stokes flow with Tresca boundary condition: a posteriori error analysis	3
A virtual element method for the elasticity problem allowing small edges	3
FEM on nonuniform meshes for nonlocal Laplacian: Semi-analytic implementation in one dimension	3
Fast algebraic multigrid for block-structured dense systems arising from nonlocal diffusion problems	3
Pressure-improved Scott–Vogelius type elements	3
Error estimates of invariant-preserving difference schemes for the rotation-two-component Camassa–Holm system with small energy	3
Discrete duality finite volume scheme for a generalized Joule heating problem	3
Relative error long-time behavior in matrix exponential approximations for numerical integration: the stiff situation	2
A fast iterative regularization method for ill-posed problems	2
Explicit and structure-preserving exponential wave integrator Fourier pseudo-spectral methods for the Dirac equation in the simultaneously massless and nonrelativistic regime	2
Accurate computation of eigenvalues of generalized sign regular quasi-Said–Ball–Vandermonde matrices	2
Locking-free Argyris–Lagrange finite elements for the Reissner–Mindlin plate	2
Decentralized finite-time guaranteed cost control for a class of interconnected nonlinear fractional-order systems	2
Regularized recurrent nonuniform sampling formulations in the linear canonical transform domain	2
Numerical analysis for backward Euler spectral discretization for Stokes equations with boundary conditions involving the pressure: part II	2
Preconditioned iterative methods with Anderson acceleration for solving multilinear PageRank and applications	2
Analytic regularity and solution approximation for a semilinear elliptic partial differential equation in a polygon	2
On polynomials generated by a four-term recurrence relation and linear coefficients	2
Fast enclosure for the minimal nonnegative solution to the nonsymmetric T-Riccati equation	2
A universal approach to blossoming with applications to Bernstein bases and Bézier curves for arbitrary function spaces	2
A fully-discrete mixed virtual element scheme for the unsteady Navier–Stokes equation coupled with a heat transfer equation under mixed boundary conditions	2
A simple, randomized algorithm for diagonalizing normal matrices	2
Strong convergence rates for long-time approximations of SDEs with non-globally Lipschitz continuous coefficients	2

Correction: Mesh quality agglomeration algorithm for the virtual element method applied to discrete fracture networks	2
An explicit two-grid spectral deferred correction method for nonlinear fractional pantograph differential equations	2
Finite element approximation of data-driven problems in conductivity	2
Greedy randomized sampling nonlinear Kaczmarz methods	2
An algorithm for the spectral radius of weakly essentially irreducible nonnegative tensors	2
$$L^2(I;H^1(\Omega )^d)$$ and $$L^2(I;L^2(\Omega )^d)$$ best approximation type error estimates for Galerkin solutions of transient Stokes problems	2
A second-order implicit–explicit (IMEX) method on graded meshes for nonlinear time-fractional reaction–subdiffusion problems	2
Preconditioning of discrete state- and control-constrained optimal control convection-diffusion problems	2
Deflated and restarted Krylov subspace methods for Sylvester tensor equations	2
Fredholm integral equations with non-smooth kernels in weighted spaces: Nyström approximations, stability and convergence	2
Hybrid hyperinterpolation over general regions	2
Particle number conservation and block structures in matrix product states	2
A class of two stage multistep methods in solutions of time dependent parabolic PDEs	2
Frequency-explicit approximability estimates for time-harmonic Maxwell’s equations	2
Cohomology of the discrete de Rham complex on domains of general topology	2
ADI Finite Element Galerkin Methods for Two-dimensional Tempered Fractional Integro-differential Equations	2
A residual-based surrogate hyperplane extended Kaczmarz algorithm for large least squares problems	2
Tensor completion via multi-directional partial tensor nuclear norm with total variation regularization	2
Postprocessing mixed finite element methods for the Cahn–Hilliard equation: the fully discrete case	2
A hybrid of psi-series approach and spectral collocation method for two-term fractional differential equation with singular solution	1
Publisher Correction: A posteriori error estimates for the linear elasticity problem with singular sources	1
A Banach spaces-based mixed finite element method for the stationary convective Brinkman–Forchheimer problem	1
Multiphysics finite element method for a nonlinear poroelasticity model with finite strain	1
High-order schemes based on extrapolation for semilinear fractional differential equation	1
Chebyshev HOPGD with sparse grid sampling for parameterized linear systems	1
Improved CRI iteration methods for a class of complex symmetric linear systems	1
Accurate computations of singular values and linear systems for Polynomial-Vandermonde-type matrices	1
Graph-theoretic algorithms for Kolmogorov operators: approximating solutions and their gradients in elliptic and parabolic problems on manifolds	1
$$H^1$$ stability and convergence analysis of the L1/L1-2 Legendre spectral method for non-local weakly singular integro-PDEs	1
Correction to: A self-adaptive three-term conjugate gradient method for monotone nonlinear equations with convex constraints	1
Numerical analysis for subdiffusion problem with non-positive memory	1
Augmented spectral formulation for the Stokes problem with variable viscosity and mixed boundary conditions	1
Further results on tensor nuclear norms	1
The Fréchet derivative of the tensor t-function	1
An efficient computational technique for semilinear time-fractional diffusion equation	1
Transpose-free quasi-minimal residual method based on tensor format for generalized coupled Sylvester tensor equations	1
Riemannian conjugate gradient methods for computing the extreme eigenvalues of symmetric tensors	1
Serendipity discrete complexes with enhanced regularity	1
On greedy randomized block Gauss–Seidel method with averaging for sparse linear least-squares problems	1
A tamed-adaptive Milstein scheme for stochastic differential equations with low regularity coefficients	1
Elliptic polytopes and invariant norms of linear operators	1
Studies on convergence and stability of iterative learning control in impulsive fractional systems with Hilfer fractional derivative	1
Conditioning of Fourier sums on a quadratic curve	1
Correction: Hosvd-tmpe: an extrapolation method for multidimensional sequences	1
Numerical approximation of the stochastic Navier–Stokes equations through artificial compressibility	1
Unconditionally positivity-preserving and stable explicit method for the stochastic delay Lotka–Volterra model	1
Convergence study of two exponential wave integrator Fourier pseudo-spectral methods for the nonlinear Schrödinger equation with wave operator	1
Gradient recovery based a posteriori error estimator for the adaptive direct discontinuous Galerkin method	1
Discontinuous Galerkin methods for Stokes equations under power law slip boundary condition: a priori analysis	1
Towards nonuniform distributions of unisolvent weights for high-order Whitney edge elements	1
Polynomial time $$\rho $$-locally maximum volume search	1
A semidefinite programming approach for the projection onto the cone of negative semidefinite symmetric tensors with applications to solid mechanics	1
A preconditioned tensor splitting iteration method and associated global correction technique for solving multilinear systems	1
The infinite Lanczos method for symmetric nonlinear eigenvalue problems	1
Numerical analysis of nonlinear Volterra integrodifferential equations for viscoelastic rods and plates	1
Single-pass randomized QLP decomposition for low-rank approximation	1
Coefficient inverse problem for variable order time-fractional diffusion equations from distributed data	1
Generalized convolution quadrature for non smooth sectorial problems	1
A modification of the periodic nonuniform sampling involving derivatives with a Gaussian multiplier	1
A comparative analysis for computation of the Volterra-Bessel function using the optimal parabolic and hyperbolic contours: application to fractional relaxation equation	1
A regularized second order scheme for Cahn–Hilliard equation with Cahn–Hilliard type dynamic boundary conditions	1
Discrete projection methods for Fredholm–Hammerstein integral equations using Kumar and Sloan technique	1
Local projection stabilized finite element methods for advection–reaction problems	1
A posteriori error estimates for the linear elasticity problem with singular sources	1
Newton-type methods for simultaneous matrix diagonalization	1
An efficient and unified method for band structure calculations of 2D anisotropic photonic-crystal fibers	1
Accurate computations with some Catalan–Stieltjes matrices	1
Tchakaloff-like compression of QMC volume and surface integration on the union of balls	1