OOIR: Observatory of International Research

Papers

(The TQCC of Calcolo is 2. 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
ConvStabNet: a CNN-based approach for the prediction of local stabilization parameter for SUPG scheme	29
Finite volume scheme and renormalized solutions for nonlinear elliptic Neumann problem with $$L^1$$ data	16
Numerical solution of the space-time fractional diffusion equation based on fractional reproducing kernel collocation method	14
Adaptive finite element approximation of bilinear optimal control problem with fractional Laplacian	14
A posteriori error estimates and adaptivity for the continuous Galerkin time-stepping method for nonlinear initial value problems	12
Anderson acceleration of the tensor relaxation Jacobi method for solving Sylvester tensor equations	12
Robust numerical schemes for time delayed singularly perturbed parabolic problems with discontinuous convection and source terms	11
Correction to: A Gauss–Newton method for mixed least squares-total least squares problems	11
Numerical methods for the forward and backward problems of a time-space fractional diffusion equation	10
Energy-norm and balanced-norm supercloseness error analysis of a finite volume method on Shishkin meshes for singularly perturbed reaction–diffusion problems	9
High-order multistep Mittag–Leffler integrator for solving time-fractional diffusion-wave equation	8
A computational method for singularly perturbed reaction–diffusion type system of integro-differential equations with discontinuous source term	8
Mean-square convergence and stability of compensated stochastic theta methods for jump-diffusion SDEs with super-linearly growing coefficients	8
On deflated CGW methods for solving nonsymmetric positive definite linear systems	8
Anisotropic Raviart–Thomas interpolation error estimates using a new geometric parameter	8
Moore–Penrose inverse-based methods for computing all D-eigenpairs of a diffusion kurtosis tensor	7
Delay-dependent stability of predictor–corrector methods of Runge–Kutta type for stochastic delay differential equations	7
A mass and energy conservative fourth-order compact difference scheme for the Klein-Gordon-Dirac equations$$^{\star }$$	7
Composite symmetric second derivative general linear methods for Hamiltonian systems	7
Implementation improvements and extensions of an ODE-based algorithm for structured low-rank approximation	7
A decoupled, conservative virtual element method for inductionless magnetohydrodynamic equations	6
On why using $${{\mathbb {D}}}{{\mathbb {L}}}(P)$$ for the symmetric polynomial eigenvalue problem might need to be reconsidered	6
Existence of smooth solutions to the 3D Navier–Stokes equations based on numerical solutions by the Crank–Nicolson finite element method	6
Fast barycentric rational interpolations for complex functions with some singularities	6
An unconditional boundary and dynamics preserving scheme for the stochastic epidemic model	5

Spectral methods in space and time for parabolic problems on semi-infinite domains	5
Maximum time step for high order BDF methods applied to gradient flows	5
On the convergence of numerical integration as a finite matrix approximation to multiplication operator	5
Analysis of generalised alternating local discontinuous Galerkin method on layer-adapted mesh for singularly perturbed problems	5
Stage-based interpolation Runge–Kutta methods for nonlinear Volterra functional differential equations	5
On a high-order Gaussian radial basis function generated Hermite finite difference method and its application	5
Embedded (4, 5) pairs of explicit 7-stage Runge–Kutta methods with FSAL property	5
Operator splitting FEM for 2D parabolic convection diffusion shift problems	4
Stability analysis of linear fractional neutral delay differential equations	4
A randomized block Douglas–Rachford method for solving linear matrix equation	4
Improved modulus-based matrix splitting iteration method for horizontal implicit complementarity problems	4
Second-order energy-stable scheme and superconvergence for the finite difference method on non-uniform grids for the viscous Cahn–Hilliard equation	4
Reproducing kernel-based piecewise methods for efficiently solving oscillatory systems of second-order initial value problems	4
On the tensor spectral $${\textbf{p}}$$-norm and its higher order power method	4
$$C^4$$ interpolation and smoothing exponential splines based on a sixth order differential operator with two parameters	4
Discrete duality finite volume scheme for a generalized Joule heating problem	4
Stability and error estimation based on a difference-spectral approximation for the Cahn–Hilliard equation in complex domains	4
A virtual element method for the elasticity problem allowing small edges	3
Stokes flow with Tresca boundary condition: a posteriori error analysis	3
Fast algebraic multigrid for block-structured dense systems arising from nonlocal diffusion problems	3
A priori and a posteriori error analysis for a VEM discretization of the convection–diffusion eigenvalue problem	3
FEM on nonuniform meshes for nonlocal Laplacian: Semi-analytic implementation in one dimension	3
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
Efficient and accurate computation for the $$\varphi$$-functions arising from exponential integrators	3
A lowest-degree quasi-conforming finite element de Rham complex on general quadrilateral grids by piecewise polynomials	3
Convergence of a Jacobi-type method for the approximate orthogonal tensor diagonalization	3
Error estimates of invariant-preserving difference schemes for the rotation-two-component Camassa–Holm system with small energy	3
Iterative optimal solutions of linear matrix equations for hyperspectral and multispectral image fusing	3
Positivity preserving truncated scheme for the stochastic Lotka–Volterra model with small moment convergence	3
Particle number conservation and block structures in matrix product states	2
Analytic regularity and solution approximation for a semilinear elliptic partial differential equation in a polygon	2
Accurate computation of eigenvalues of generalized sign regular quasi-Said–Ball–Vandermonde matrices	2
Rational interpolation operator with finite Lebesgue constant	2
On the convergence rate of the Kačanov scheme for shear-thinning fluids	2
A fast iterative regularization method for ill-posed problems	2
A simple, randomized algorithm for diagonalizing normal matrices	2
Locking-free Argyris–Lagrange finite elements for the Reissner–Mindlin plate	2
On the acceleration of optimal regularization algorithms for linear ill-posed inverse problems	2
A two-grid temporal second-order scheme for the two-dimensional nonlinear Volterra integro-differential equation with weakly singular kernel	2
Preconditioning of discrete state- and control-constrained optimal control convection-diffusion problems	2
A second-order implicit–explicit (IMEX) method on graded meshes for nonlinear time-fractional reaction–subdiffusion problems	2
Preconditioned iterative methods with Anderson acceleration for solving multilinear PageRank and applications	2
Tensor completion via multi-directional partial tensor nuclear norm with total variation regularization	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
Decentralized finite-time guaranteed cost control for a class of interconnected nonlinear fractional-order systems	2
Relative error long-time behavior in matrix exponential approximations for numerical integration: the stiff situation	2
A class of two stage multistep methods in solutions of time dependent parabolic PDEs	2
Hybrid hyperinterpolation over general regions	2
A new non-augmented and momentum-conserving fully-mixed finite element method for a coupled flow-transport problem	2

A universal approach to blossoming with applications to Bernstein bases and Bézier curves for arbitrary function spaces	2
Correction: Mesh quality agglomeration algorithm for the virtual element method applied to discrete fracture networks	2
Accelerated memory-less SR1 method with generalized secant equation for unconstrained optimization	2
On polynomials generated by a four-term recurrence relation and linear coefficients	2
Frequency-explicit approximability estimates for time-harmonic Maxwell’s equations	2
Fredholm integral equations with non-smooth kernels in weighted spaces: Nyström approximations, stability and convergence	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
Deflated and restarted Krylov subspace methods for Sylvester tensor equations	2
Explicit and structure-preserving exponential wave integrator Fourier pseudo-spectral methods for the Dirac equation in the simultaneously massless and nonrelativistic regime	2
An explicit two-grid spectral deferred correction method for nonlinear fractional pantograph differential equations	2
Pressure-improved Scott–Vogelius type elements	2