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 2021-12-01 to 2025-12-01.)

Article	Citations
ConvStabNet: a CNN-based approach for the prediction of local stabilization parameter for SUPG scheme	30
Adaptive finite element approximation of bilinear optimal control problem with fractional Laplacian	14
Finite volume scheme and renormalized solutions for nonlinear elliptic Neumann problem with $$L^1$$ data	14
Anderson acceleration of the tensor relaxation Jacobi method for solving Sylvester tensor equations	12
A posteriori error estimates and adaptivity for the continuous Galerkin time-stepping method for nonlinear initial value problems	11
Numerical solution of the space-time fractional diffusion equation based on fractional reproducing kernel collocation method	10
Robust numerical schemes for time delayed singularly perturbed parabolic problems with discontinuous convection and source terms	9
Anisotropic Raviart–Thomas interpolation error estimates using a new geometric parameter	8
Correction to: A Gauss–Newton method for mixed least squares-total least squares problems	8
Energy-norm and balanced-norm supercloseness error analysis of a finite volume method on Shishkin meshes for singularly perturbed reaction–diffusion problems	8
Numerical methods for the forward and backward problems of a time-space fractional diffusion equation	8
High-order multistep Mittag–Leffler integrator for solving time-fractional diffusion-wave equation	8
A mass and energy conservative fourth-order compact difference scheme for the Klein-Gordon-Dirac equations$$^{\star }$$	7
On deflated CGW methods for solving nonsymmetric positive definite linear systems	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
Mean-square convergence and stability of compensated stochastic theta methods for jump-diffusion SDEs with super-linearly growing coefficients	7
Moore–Penrose inverse-based methods for computing all D-eigenpairs of a diffusion kurtosis tensor	7
A computational method for singularly perturbed reaction–diffusion type system of integro-differential equations with discontinuous source term	7
Delay-dependent stability of predictor–corrector methods of Runge–Kutta type for stochastic delay differential equations	6
On why using $${{\mathbb {D}}}{{\mathbb {L}}}(P)$$ for the symmetric polynomial eigenvalue problem might need to be reconsidered	6
A decoupled, conservative virtual element method for inductionless magnetohydrodynamic equations	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
Improved modulus-based matrix splitting iteration method for horizontal implicit complementarity problems	5

Stage-based interpolation Runge–Kutta methods for nonlinear Volterra functional differential equations	5
Spectral methods in space and time for parabolic problems on semi-infinite domains	5
Stability and error estimation based on a difference-spectral approximation for the Cahn–Hilliard equation in complex domains	5
An unconditional boundary and dynamics preserving scheme for the stochastic epidemic model	5
Embedded (4, 5) pairs of explicit 7-stage Runge–Kutta methods with FSAL property	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
Stability analysis of linear fractional neutral delay differential equations	4
The wavelet Galerkin method for fractional delay differential equations	4
$$C^4$$ interpolation and smoothing exponential splines based on a sixth order differential operator with two parameters	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
Operator splitting FEM for 2D parabolic convection diffusion shift 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
A randomized block Douglas–Rachford method for solving linear matrix equation	4
Fast algebraic multigrid for block-structured dense systems arising from nonlocal diffusion problems	3
Convergence of a Jacobi-type method for the approximate orthogonal tensor diagonalization	3
Supercloseness of the NIPG method for a singularly perturbed convection diffusion problem on Shishkin mesh	3
A lowest-degree quasi-conforming finite element de Rham complex on general quadrilateral grids by piecewise polynomials	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
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
Stokes flow with Tresca boundary condition: a posteriori error analysis	3
Pressure-improved Scott–Vogelius type elements	3
A priori and a posteriori error analysis for a VEM discretization of the convection–diffusion eigenvalue problem	3
A new non-augmented and momentum-conserving fully-mixed finite element method for a coupled flow-transport problem	3
FEM on nonuniform meshes for nonlocal Laplacian: Semi-analytic implementation in one dimension	3
A virtual element method for the elasticity problem allowing small edges	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
Iterative optimal solutions of linear matrix equations for hyperspectral and multispectral image fusing	3
Correction: Mesh quality agglomeration algorithm for the virtual element method applied to discrete fracture networks	2
An algorithm for the spectral radius of weakly essentially irreducible nonnegative tensors	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
Regularized recurrent nonuniform sampling formulations in the linear canonical transform domain	2
Rational interpolation operator with finite Lebesgue constant	2
Particle number conservation and block structures in matrix product states	2
Relative error long-time behavior in matrix exponential approximations for numerical integration: the stiff situation	2
A simple, randomized algorithm for diagonalizing normal matrices	2
Hybrid hyperinterpolation over general regions	2
Strong convergence rates for long-time approximations of SDEs with non-globally Lipschitz continuous coefficients	2
A second-order implicit–explicit (IMEX) method on graded meshes for nonlinear time-fractional reaction–subdiffusion problems	2
PVTSI$$^{{{(m)}}}$$: A novel approach to computation of Hadamard finite parts of nonperiodic singular integrals	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
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
Preconditioning of discrete state- and control-constrained optimal control convection-diffusion problems	2
Deflated and restarted Krylov subspace methods for Sylvester tensor equations	2

Locking-free Argyris–Lagrange finite elements for the Reissner–Mindlin plate	2
An explicit two-grid spectral deferred correction method for nonlinear fractional pantograph differential 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
Decentralized finite-time guaranteed cost control for a class of interconnected nonlinear fractional-order systems	2
Fredholm integral equations with non-smooth kernels in weighted spaces: Nyström approximations, stability and convergence	2
Tensor completion via multi-directional partial tensor nuclear norm with total variation regularization	2
A fast iterative regularization method for ill-posed problems	2
Frequency-explicit approximability estimates for time-harmonic Maxwell’s equations	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 class of two stage multistep methods in solutions of time dependent parabolic PDEs	2
A universal approach to blossoming with applications to Bernstein bases and Bézier curves for arbitrary function spaces	2
On the acceleration of optimal regularization algorithms for linear ill-posed inverse problems	2
A semidefinite programming approach for the projection onto the cone of negative semidefinite symmetric tensors with applications to solid mechanics	1
Generalized convolution quadrature for non smooth sectorial problems	1
A Banach spaces-based mixed finite element method for the stationary convective Brinkman–Forchheimer problem	1
Riemannian conjugate gradient methods for computing the extreme eigenvalues of symmetric tensors	1
Transpose-free quasi-minimal residual method based on tensor format for generalized coupled Sylvester tensor equations	1
A tamed-adaptive Milstein scheme for stochastic differential equations with low regularity coefficients	1
Polynomial time $$\rho $$-locally maximum volume search	1
High-order schemes based on extrapolation for semilinear fractional differential equation	1
Finite element approximation of data-driven problems in conductivity	1
Numerical analysis for backward Euler spectral discretization for Stokes equations with boundary conditions involving the pressure: part II	1
ADI Finite Element Galerkin Methods for Two-dimensional Tempered Fractional Integro-differential Equations	1
Tchakaloff-like compression of QMC volume and surface integration on the union of balls	1
Unconditionally positivity-preserving and stable explicit method for the stochastic delay Lotka–Volterra model	1
Correction to: A self-adaptive three-term conjugate gradient method for monotone nonlinear equations with convex constraints	1
The infinite Lanczos method for symmetric nonlinear eigenvalue problems	1
Numerical analysis of nonlinear Volterra integrodifferential equations for viscoelastic rods and plates	1
Accurate computations with some Catalan–Stieltjes matrices	1
A preconditioned tensor splitting iteration method and associated global correction technique for solving multilinear systems	1
Further results on tensor nuclear norms	1
Coefficient inverse problem for variable order time-fractional diffusion equations from distributed data	1
Towards nonuniform distributions of unisolvent weights for high-order Whitney edge elements	1
Serendipity discrete complexes with enhanced regularity	1
$$H^1$$ stability and convergence analysis of the L1/L1-2 Legendre spectral method for non-local weakly singular integro-PDEs	1
On greedy randomized block Gauss–Seidel method with averaging for sparse linear least-squares problems	1
Fast enclosure for the minimal nonnegative solution to the nonsymmetric T-Riccati equation	1
Preconditioned iterative methods with Anderson acceleration for solving multilinear PageRank and applications	1
Accurate computations of singular values and linear systems for Polynomial-Vandermonde-type matrices	1
Augmented spectral formulation for the Stokes problem with variable viscosity and mixed boundary conditions	1
A hybrid of psi-series approach and spectral collocation method for two-term fractional differential equation with singular solution	1
The Fréchet derivative of the tensor t-function	1
Single-pass randomized QLP decomposition for low-rank approximation	1
An efficient computational technique for semilinear time-fractional diffusion equation	1
Correction: Hosvd-tmpe: an extrapolation method for multidimensional sequences	1
Elliptic polytopes and invariant norms of linear operators	1
Multiphysics finite element method for a nonlinear poroelasticity model with finite strain	1
Local projection stabilized finite element methods for advection–reaction problems	1
A residual-based surrogate hyperplane extended Kaczmarz algorithm for large least squares problems	1
Gradient recovery based a posteriori error estimator for the adaptive direct discontinuous Galerkin method	1
Cohomology of the discrete de Rham complex on domains of general topology	1
An efficient and unified method for band structure calculations of 2D anisotropic photonic-crystal fibers	1
Greedy randomized sampling nonlinear Kaczmarz methods	1
Newton-type methods for simultaneous matrix diagonalization	1
Numerical analysis for subdiffusion problem with non-positive memory	1
Discrete projection methods for Fredholm–Hammerstein integral equations using Kumar and Sloan technique	1