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 2020-11-01 to 2024-11-01.)

Article	Citations
A two-grid temporal second-order scheme for the two-dimensional nonlinear Volterra integro-differential equation with weakly singular kernel	19
Reproducing kernel-based piecewise methods for efficiently solving oscillatory systems of second-order initial value problems	13
Nonconforming virtual element method for 2mth order partial differential equations in $${\mathbb {R}}^n$$ with $$m>n$$	12
On maximum residual block and two-step Gauss–Seidel algorithms for linear least-squares problems	11
Accurate computations with Wronskian matrices	11
Approximation of PDE eigenvalue problems involving parameter dependent matrices	11
A weighted and balanced FEM for singularly perturbed reaction-diffusion problems	11
A new non-augmented and momentum-conserving fully-mixed finite element method for a coupled flow-transport problem	10
Block sampling Kaczmarz–Motzkin methods for consistent linear systems	9
Superconvergence of a modified weak Galerkin method for singularly perturbed two-point elliptic boundary-value problems	9
Approximation by shape preserving fractal functions with variable scalings	8
Structure-preserving Gauss methods for the nonlinear Schrödinger equation	8
On a high-order Gaussian radial basis function generated Hermite finite difference method and its application	8
Improved error estimates for Hybrid High-Order discretizations of Leray–Lions problems	8
Analysis of generalised alternating local discontinuous Galerkin method on layer-adapted mesh for singularly perturbed problems	8
Lowest order virtual element approximations for transient Stokes problem on polygonal meshes	7
Analysis of the spectral symbol associated to discretization schemes of linear self-adjoint differential operators	7
The virtual element method for a minimal surface problem	6
$$H^1$$-conforming finite element cochain complexes and commuting quasi-interpolation operators on Cartesian meshes	6
A priori error analysis for a mixed VEM discretization of the spectral problem for the Laplacian operator	6
Velocity-vorticity-pressure formulation for the Oseen problem with variable viscosity	6
Pressure-robust error estimate of optimal order for the Stokes equations: domains with re-entrant edges and anisotropic mesh grading	6
Fast multidimensional completion and principal component analysis methods via the cosine product	6
A Banach spaces-based mixed-primal finite element method for the coupling of Brinkman flow and nonlinear transport	6
ADI Finite Element Galerkin Methods for Two-dimensional Tempered Fractional Integro-differential Equations	6

Error analysis of the compliance model for the Signorini problem	6
Towards nonuniform distributions of unisolvent weights for high-order Whitney edge elements	6
Coefficient inverse problem for variable order time-fractional diffusion equations from distributed data	5
A lowest-order virtual element method for the Helmholtz transmission eigenvalue problem	5
Inertial generalized proximal Peaceman–Rachford splitting method for separable convex programming	5
Numerical evaluation of Mittag-Leffler functions	5
A lower dimensional linear equation approach to the M-tensor complementarity problem	5
Anisotropic Raviart–Thomas interpolation error estimates using a new geometric parameter	5
Linearized symmetric multi-block ADMM with indefinite proximal regularization and optimal proximal parameter	5
Unified compact numerical quadrature formulas for Hadamard finite parts of singular integrals of periodic functions	5
Two robust virtual element methods for the Brinkman equations	4
Numerical approximation and simulation of the stochastic wave equation on the sphere	4
All-at-once multigrid approaches for one-dimensional space-fractional diffusion equations	4
Positivity preserving truncated scheme for the stochastic Lotka–Volterra model with small moment convergence	4
Frequency-explicit approximability estimates for time-harmonic Maxwell’s equations	4
Arbitrary-order intrinsic virtual element method for elliptic equations on surfaces	4
C0 finite element approximations of linear elliptic equations in non-divergence form and Hamilton–Jacobi–Bellman equations with Cordes coefficients	4
Lopsided scaled HSS preconditioner for steady-state space-fractional diffusion equations	4
Componentwise perturbation analysis for the generalized Schur decomposition	4
On the convergence rate of the Kačanov scheme for shear-thinning fluids	4
A mixed finite element method with reduced symmetry for the standard model in linear viscoelasticity	4
A class of two stage multistep methods in solutions of time dependent parabolic PDEs	4
On the order of convergence of Broyden’s method	4
Approximating inverse FEM matrices on non-uniform meshes with $${\mathcal{H}}$$-matrices	4
Second-order well-balanced Lagrange-projection schemes for blood flow equations	4
PVTSI$$^{{{(m)}}}$$: A novel approach to computation of Hadamard finite parts of nonperiodic singular integrals	3
Efficient and accurate computation for the $$\varphi$$-functions arising from exponential integrators	3
A Hermite collocation method for approximating a class of highly oscillatory integral equations using new Gaussian radial basis functions	3
On the global convergence of the block Jacobi method for the positive definite generalized eigenvalue problem	3
A Banach spaces-based mixed finite element method for the stationary convective Brinkman–Forchheimer problem	3
High-order interpolatory Serendipity Virtual Element Method for semilinear parabolic problems	3
Rational interpolation operator with finite Lebesgue constant	3
Discrete projection methods for Hammerstein integral equations on the half-line	3
Improved CRI iteration methods for a class of complex symmetric linear systems	3
Cohomology of the discrete de Rham complex on domains of general topology	3
Greedy randomized sampling nonlinear Kaczmarz methods	3
Mesh quality agglomeration algorithm for the virtual element method applied to discrete fracture networks	3
Shifted extended global Lanczos processes for trace estimation with application to network analysis	3
Maximum time step for the BDF3 scheme applied to gradient flows	3
Continuous trigonometric collocation polynomial approximations with geometric and superconvergence analysis for efficiently solving semi-linear highly oscillatory hyperbolic systems	3
Newton-type methods for simultaneous matrix diagonalization	2
New error estimates of Lagrange–Galerkin methods for the advection equation	2
Local minimizers of the Crouzeix ratio: a nonsmooth optimization case study	2
Accelerated memory-less SR1 method with generalized secant equation for unconstrained optimization	2
Flux globalization based well-balanced central-upwind scheme for one-dimensional blood flow models	2
A virtual element method for the elasticity problem allowing small edges	2
A gradient based iterative method and associated preconditioning technique for solving the large multilinear systems	2
Deflated and restarted Krylov subspace methods for Sylvester tensor equations	2
Exactness and convergence properties of some recent numerical quadrature formulas for supersingular integrals of periodic functions	2
A new iterative method for solving a class of two-by-two block complex linear systems	2

A fully well-balanced and asymptotic preserving scheme for the shallow-water equations with a generalized Manning friction source term	2
A mass and energy conservative fourth-order compact difference scheme for the Klein-Gordon-Dirac equations$$^{\star }$$	2
Optimal approximation of infinite-dimensional holomorphic functions	2
Some improved Ky Fan type eigenvalue inclusion sets for tensors	2
A weighted ADI scheme with variable time steps for diffusion-wave equations	2
Spectral methods in space and time for parabolic problems on semi-infinite domains	2
Efficient iteration methods for complex systems with an indefinite matrix term	2
Optimal three-stage implicit exponentially-fitted RKN methods for solving second-order ODEs	2
Exponential convergence of some recent numerical quadrature methods for Hadamard finite parts of singular integrals of periodic analytic functions	2
Randomised one-step time integration methods for deterministic operator differential equations	2
Energy-norm and balanced-norm supercloseness error analysis of a finite volume method on Shishkin meshes for singularly perturbed reaction–diffusion problems	1
Relative error long-time behavior in matrix exponential approximations for numerical integration: the stiff situation	1
Applying smoothing technique and semi-proximal ADMM for image deblurring	1
Accurate computation of eigenvalues of generalized sign regular quasi-Said–Ball–Vandermonde matrices	1
Equivalence of local-best and global-best approximations in H(curl)	1
$$C^4$$ interpolation and smoothing exponential splines based on a sixth order differential operator with two parameters	1
Numerical analysis of nonlinear Volterra integrodifferential equations for viscoelastic rods and plates	1
On why using $${{\mathbb {D}}}{{\mathbb {L}}}(P)$$ for the symmetric polynomial eigenvalue problem might need to be reconsidered	1
Augmented spectral formulation for the Stokes problem with variable viscosity and mixed boundary conditions	1
Multiphysics finite element method for a nonlinear poroelasticity model with finite strain	1
A block quaternion GMRES method and its convergence analysis	1
A semidefinite programming approach for the projection onto the cone of negative semidefinite symmetric tensors with applications to solid mechanics	1
The Fréchet derivative of the tensor t-function	1
Lidstone–Euler interpolation and related high even order boundary value problem	1
Convergence of a Jacobi-type method for the approximate orthogonal tensor diagonalization	1
Shape preserving rational [3/2] Hermite interpolatory subdivision scheme	1
$$L^2(I;H^1(\Omega )^d)$$ and $$L^2(I;L^2(\Omega )^d)$$ best approximation type error estimates for Galerkin solutions of transient Stokes problems	1
A Gauss–Newton method for mixed least squares-total least squares problems	1
Further results on tensor nuclear norms	1
Randomized double and triple Kaczmarz for solving extended normal equations	1
Low-rank tensor approximation of singularly perturbed boundary value problems in one dimension	1
Iterative optimal solutions of linear matrix equations for hyperspectral and multispectral image fusing	1
Two-dimensional Jacobi pseudospectral quadrature solutions of two-dimensional fractional Volterra integral equations	1
On decompositions and approximations of conjugate partial-symmetric tensors	1
On the acceleration of optimal regularization algorithms for linear ill-posed inverse problems	1
Second-order finite difference approximation for a nonlinear size-structured population model with an indefinite growth rate coupled with the environment	1
Composite symmetric second derivative general linear methods for Hamiltonian systems	1
A posteriori error analysis of a momentum and thermal energy conservative mixed FEM for the Boussinesq equations	1
Particle number conservation and block structures in matrix product states	1
A streamline-derivative-based local projection stabilization virtual element method for nonlinear convection–diffusion–reaction equation	1
Error estimates of invariant-preserving difference schemes for the rotation-two-component Camassa–Holm system with small energy	1
Spectral approximation methods for nonlinear integral equations with non-smooth kernels	1
Accurate and efficient numerical methods for the nonlinear Schrödinger equation with Dirac delta potential	1
A complex structure-preserving algorithm for split quaternion matrix LDU decomposition in split quaternion mechanics	1
Robust numerical schemes for time delayed singularly perturbed parabolic problems with discontinuous convection and source terms	1
A $$C^1$$–$$C^0$$ virtual element discretization for a sixth-order elliptic equation	1
Graph-theoretic algorithms for Kolmogorov operators: approximating solutions and their gradients in elliptic and parabolic problems on manifolds	1
Regularization methods for identifying the initial value of time fractional pseudo-parabolic equation	1
Structural backward stability in rational eigenvalue problems solved via block Kronecker linearizations	1
Single-pass randomized QLP decomposition for low-rank approximation	1
Parameter estimation and signal reconstruction	1
Fast enclosure for the minimal nonnegative solution to the nonsymmetric T-Riccati equation	1
Analytic regularity and solution approximation for a semilinear elliptic partial differential equation in a polygon	1
Spectral collocation method for nonlinear Riemann–Liouville fractional differential system	1
Matrix completion with sparse measurement errors	1
Data-driven sparse identification of nonlinear dynamical systems using linear multistep methods	1