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 2020-05-01 to 2024-05-01.)

Article	Citations
On the convergence of adaptive iterative linearized Galerkin methods	21
A two-grid temporal second-order scheme for the two-dimensional nonlinear Volterra integro-differential equation with weakly singular kernel	14
A new mixed-FEM for steady-state natural convection models allowing conservation of momentum and thermal energy	13
Nonconforming virtual element method for 2mth order partial differential equations in $${\mathbb {R}}^n$$ with $$m>n$$	12
Shape preserving $$\alpha$$-fractal rational cubic splines	11
Reproducing kernel-based piecewise methods for efficiently solving oscillatory systems of second-order initial value problems	11
A weighted and balanced FEM for singularly perturbed reaction-diffusion problems	10
Accurate computations with Wronskian matrices	10
Approximation of PDE eigenvalue problems involving parameter dependent matrices	9
Superconvergence of a modified weak Galerkin method for singularly perturbed two-point elliptic boundary-value problems	9
Implementation of second derivative general linear methods	8
A modified Broyden family algorithm with global convergence under a weak Wolfe-Powell line search for unconstrained nonconvex problems	8
Analysis of generalised alternating local discontinuous Galerkin method on layer-adapted mesh for singularly perturbed problems	8
Structure-preserving Gauss methods for the nonlinear Schrödinger equation	8
Approximation by shape preserving fractal functions with variable scalings	8
A new non-augmented and momentum-conserving fully-mixed finite element method for a coupled flow-transport problem	8
On maximum residual block and two-step Gauss–Seidel algorithms for linear least-squares problems	8
On a high-order Gaussian radial basis function generated Hermite finite difference method and its application	7
Block sampling Kaczmarz–Motzkin methods for consistent linear systems	7
$$H^1$$-conforming finite element cochain complexes and commuting quasi-interpolation operators on Cartesian meshes	6
Analysis of the spectral symbol associated to discretization schemes of linear self-adjoint differential operators	6
Lowest order virtual element approximations for transient Stokes problem on polygonal meshes	6
Convergence of a positive nonlinear DDFV scheme for degenerate parabolic equations	6
A Note On Convergence Rate of Randomized Kaczmarz Method	6
A two-step symmetric method for charged-particle dynamics in a normal or strong magnetic field	6

A priori error analysis for a mixed VEM discretization of the spectral problem for the Laplacian operator	6
Inertial generalized proximal Peaceman–Rachford splitting method for separable convex programming	5
Improved error estimates for Hybrid High-Order discretizations of Leray–Lions problems	5
A lowest-order virtual element method for the Helmholtz transmission eigenvalue problem	5
A lower dimensional linear equation approach to the M-tensor complementarity problem	5
A modified nonlinear Polak–Ribière–Polyak conjugate gradient method with sufficient descent property	5
Conjugate gradient method preconditioned with modified block SSOR iteration for multiplicative half-quadratic image restoration	5
Linearized symmetric multi-block ADMM with indefinite proximal regularization and optimal proximal parameter	5
ADI Finite Element Galerkin Methods for Two-dimensional Tempered Fractional Integro-differential Equations	5
Error analysis of the compliance model for the Signorini problem	5
Unified compact numerical quadrature formulas for Hadamard finite parts of singular integrals of periodic functions	5
Pressure-robust error estimate of optimal order for the Stokes equations: domains with re-entrant edges and anisotropic mesh grading	5
Fast multidimensional completion and principal component analysis methods via the cosine product	5
Coefficient inverse problem for variable order time-fractional diffusion equations from distributed data	4
Parallel iterative stabilized finite element methods based on the quadratic equal-order elements for incompressible flows	4
On the order of convergence of Broyden’s method	4
On the convergence rate of the Kačanov scheme for shear-thinning fluids	4
Fractional Laplace operator in two dimensions, approximating matrices, and related spectral analysis	4
The virtual element method for a minimal surface problem	4
Approximating inverse FEM matrices on non-uniform meshes with $${\mathcal{H}}$$-matrices	4
A mixed finite element method with reduced symmetry for the standard model in linear viscoelasticity	4
Numerical evaluation of Mittag-Leffler functions	4
A new stable numerical method for Mellin integral equations in weighted spaces with uniform norm	4
Velocity-vorticity-pressure formulation for the Oseen problem with variable viscosity	4
C0 finite element approximations of linear elliptic equations in non-divergence form and Hamilton–Jacobi–Bellman equations with Cordes coefficients	3
Efficient and accurate computation for the $$\varphi$$-functions arising from exponential integrators	3
Discrete projection methods for Hammerstein integral equations on the half-line	3
Second-order well-balanced Lagrange-projection schemes for blood flow equations	3
H(div) conforming methods for the rotation form of the incompressible fluid equations	3
Maximum time step for the BDF3 scheme applied to gradient flows	3
On hyperbolic polynomials with four-term recurrence and linear coefficients	3
PVTSI$$^{{{(m)}}}$$: A novel approach to computation of Hadamard finite parts of nonperiodic singular integrals	3
Anisotropic Raviart–Thomas interpolation error estimates using a new geometric parameter	3
Shifted extended global Lanczos processes for trace estimation with application to network analysis	3
Frequency-explicit approximability estimates for time-harmonic Maxwell’s equations	3
All-at-once multigrid approaches for one-dimensional space-fractional diffusion equations	3
Lopsided scaled HSS preconditioner for steady-state space-fractional diffusion equations	3
A Hermite collocation method for approximating a class of highly oscillatory integral equations using new Gaussian radial basis functions	3
Componentwise perturbation analysis for the generalized Schur decomposition	3
A Banach spaces-based mixed-primal finite element method for the coupling of Brinkman flow and nonlinear transport	3
Numerical approximation and simulation of the stochastic wave equation on the sphere	3
Newton-type methods for simultaneous matrix diagonalization	2
Spectral methods in space and time for parabolic problems on semi-infinite domains	2
A Banach spaces-based mixed finite element method for the stationary convective Brinkman–Forchheimer problem	2
On general matrix exponential discriminant analysis methods for high dimensionality reduction	2
Efficient iteration methods for complex systems with an indefinite matrix term	2
Accelerated memory-less SR1 method with generalized secant equation for unconstrained optimization	2
A mass and energy conservative fourth-order compact difference scheme for the Klein-Gordon-Dirac equations$$^{\star }$$	2
A virtual element method for the elasticity problem allowing small edges	2
Towards nonuniform distributions of unisolvent weights for high-order Whitney edge elements	2

On the global convergence of the block Jacobi method for the positive definite generalized eigenvalue problem	2
New error estimates of Lagrange–Galerkin methods for the advection equation	2
A new iterative method for solving a class of two-by-two block complex linear systems	2
Optimal three-stage implicit exponentially-fitted RKN methods for solving second-order ODEs	2
A fully well-balanced and asymptotic preserving scheme for the shallow-water equations with a generalized Manning friction source term	2
Rational interpolation operator with finite Lebesgue constant	2
SDFEM for singularly perturbed parabolic initial-boundary-value problems on equidistributed grids	2
New conjugate gradient algorithms based on self-scaling memoryless Broyden–Fletcher–Goldfarb–Shanno method	2
Some improved Ky Fan type eigenvalue inclusion sets for tensors	2
Two robust virtual element methods for the Brinkman equations	2
Arbitrary-order intrinsic virtual element method for elliptic equations on surfaces	2
Exactness and convergence properties of some recent numerical quadrature formulas for supersingular integrals of periodic functions	2
Continuous trigonometric collocation polynomial approximations with geometric and superconvergence analysis for efficiently solving semi-linear highly oscillatory hyperbolic systems	2
High-order interpolatory Serendipity Virtual Element Method for semilinear parabolic problems	2
Positivity preserving truncated scheme for the stochastic Lotka–Volterra model with small moment convergence	2
Flux globalization based well-balanced central-upwind scheme for one-dimensional blood flow models	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
A gradient based iterative method and associated preconditioning technique for solving the large multilinear systems	1
Improved CRI iteration methods for a class of complex symmetric linear systems	1
A class of two stage multistep methods in solutions of time dependent parabolic PDEs	1
On why using $${{\mathbb {D}}}{{\mathbb {L}}}(P)$$ for the symmetric polynomial eigenvalue problem might need to be reconsidered	1
Riemannian conjugate gradient methods for computing the extreme eigenvalues of symmetric tensors	1
Cohomology of the discrete de Rham complex on domains of general topology	1
Second-order finite difference approximation for a nonlinear size-structured population model with an indefinite growth rate coupled with the environment	1
A semidefinite programming approach for the projection onto the cone of negative semidefinite symmetric tensors with applications to solid mechanics	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
Lidstone–Euler interpolation and related high even order boundary value problem	1
Mesh quality agglomeration algorithm for the virtual element method applied to discrete fracture networks	1
Randomized double and triple Kaczmarz for solving extended normal equations	1
Matrix completion with sparse measurement errors	1
$$C^4$$ interpolation and smoothing exponential splines based on a sixth order differential operator with two parameters	1
Equivalence of local-best and global-best approximations in H(curl)	1
Low-rank tensor approximation of singularly perturbed boundary value problems in one dimension	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
Multiphysics finite element method for a nonlinear poroelasticity model with finite strain	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
A streamline-derivative-based local projection stabilization virtual element method for nonlinear convection–diffusion–reaction equation	1
Accurate and efficient numerical methods for the nonlinear Schrödinger equation with Dirac delta potential	1
A $$C^1$$–$$C^0$$ virtual element discretization for a sixth-order elliptic equation	1
Relative error long-time behavior in matrix exponential approximations for numerical integration: the stiff situation	1
Graph-theoretic algorithms for Kolmogorov operators: approximating solutions and their gradients in elliptic and parabolic problems on manifolds	1
Two-dimensional Jacobi pseudospectral quadrature solutions of two-dimensional fractional Volterra integral equations	1
Single-pass randomized QLP decomposition for low-rank approximation	1
On decompositions and approximations of conjugate partial-symmetric tensors	1
Local minimizers of the Crouzeix ratio: a nonsmooth optimization case study	1
Composite symmetric second derivative general linear methods for Hamiltonian systems	1
Parameter estimation and signal reconstruction	1
A posteriori error analysis of a momentum and thermal energy conservative mixed FEM for the Boussinesq equations	1
Convergence of a Jacobi-type method for the approximate orthogonal tensor diagonalization	1
A modified Chambolle-Pock primal-dual algorithm for Poisson noise removal	1