OOIR: Observatory of International Research

Papers

(The TQCC of International Journal of Computer Mathematics is 3. 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 2021-02-01 to 2025-02-01.)

Article	Citations
Convergence and stability of the balanced Euler method for stochastic pantograph differential equations with Markovian switching	30
On SMSNSSOR iteration method for solving complex symmetric linear systems	28
An efficient off-step spline algorithm for wave simulation of nonlinear Kuramoto–Sivashinsky and Korteweg-de Vries equations	28
A stable pressure-correction MAC scheme for the fluid-Poroelastic material interaction problem	26
A novel term-structure-based Heston model for implied volatility surface	26
Spectral approximation for nonlinear time fractional Schrödinger equation on graded meshes	22
Low tubal rank tensor completion based on singular value factors	20
A study on mild solutions for multi-term time fractional measure differential equations	19
Viscosity approximation method for split best proximity point and monotone variational inclusion problem	17
Sobolev orthogonal Legendre rational spectral methods for exterior problems	16
The measure pseudo almost-periodicty and automorphy in HOHNNs with time-varying delays	16
Space–time localized polynomial basis functions for solving parabolic and hyperbolic equations	16
New three-term conjugate gradient algorithm for solving monotone nonlinear equations and signal recovery problems	15
Modification of numerical algorithm for space-time fractional partial differential equations including two types of fractional derivatives	15
Exemplar-based large-scale low-rank matrix decomposition for collaborative prediction	15
Parameter estimation in models generated by SDEs with symmetric alpha-stable noise	14
The virtual element method for solving two-dimensional fractional cable equation on general polygonal meshes	14
Numerical solution of nonlinear third-kind Volterra integral equations using an iterative collocation method	14
Numerical solution of third-kind Volterra integral equations with proportional delays based on moving least squares collocation method	12
Kaczmarz-type methods for solving matrix equations	11
On mild solutions of the p-Laplacian fractional Langevin equations with anti-periodic type boundary conditions	11
Enhancing mortgage rate prediction: a comprehensive evaluation of computational statistical approaches	11
An optimization method for solving a general class of the inverse system of nonlinear fractional order PDEs	11
Convergence and superconvergence analysis of energy-preserving Crank–Nicolson Galerkin method for the Benjamin–Bona–Mahony equation	10
Robust septic Hermite collocation technique for singularly perturbed generalized Hodgkin–Huxley equation	9

Discrete Legendre spectral methods for Hammerstein type weakly singular nonlinear Fredholm integral equations	9
Numerical solution of general Emden–Fowler equation using Haar wavelet collocation method	9
Discontinuous Galerkin for the wave equation: a simplified a priori error analysis	9
How do Monte Carlo estimates affect stochastic geometric numerical integration?	8
Numerical solution for three-dimensional nonlinear mixed Volterra–Fredholm integral equations via modified moving least-square method	8
Approaches that take into account interactions between parameters: pure (fuzzy) soft sets	8
A modified-upwind with block-centred finite difference scheme based on the two-grid algorithm for convection-diffusion-reaction equations	8
A fast implicit difference scheme for solving high-dimensional time-space fractional nonlinear Schrödinger equation	8
A uniformly convergent scheme for two-parameter problems having layer behaviour	7
The investigation of exact solutions of Korteweg-de vries equation with dual power law nonlinearity using the exp_aand exp (− Φ (ξ)) methods	7
Vector breather waves and higher-order rouge waves to the coupled higher-order nonlinear Schrödinger equations	7
A non-classical sinc-collocation method for the solution of singular boundary value problems arising in physiology	7
A posteriori error estimation and adaptive strategy for a nonlinear fractional differential equation	7
New spectral LS conjugate gradient method for nonlinear unconstrained optimization	7
Solving generalized polynomial problem by using new affine relaxed technique	7
Prescribed time convergence and robust zeroing neural network for solving time-varying linear matrix equation	6
An inertial extragradient method for iteratively solving equilibrium problems in real Hilbert spaces	6
Editorial	6
Optimal fourth-order parameter-uniform convergence of a non-monotone scheme on equidistributed meshes for singularly perturbed reaction–diffusion problems	6
Efficient parallel Monte-Carlo techniques for pricing American options including counterparty credit risk	6
Numerical oscillation and non-oscillation analysis of the mixed type impulsive differential equation with piecewise constant arguments	6
A technique for improving the computation of functions of triangular matrices	6
A parallel high-order accuracy algorithm for the Helmholtz equations	6
Iterative regularization methods for solving equilibrium problems	6
A new block preconditioner for weighted Toeplitz regularized least-squares problems	5
Analysis of a stochastic model for a prey–predator system with an indirect effect	5
A novel radial basis procedure for the SIRC epidemic delay differential model	5
Numerical solution of two-point BVPs in infinite-horizon optimal control theory: a combined quasilinearization method with exponential Bernstein functions	5
Convergence and stability of modified partially truncated Euler-Maruyama method for stochastic differential equations with piecewise continuous arguments	5
A moving mesh method for quenching problem	5
Fourth-order exponential time differencing Runge–Kutta scheme and local meshless method to investigate unsteady diffusion–convection problems of anisotropic functionally graded materials	5
The non-autonomous perturbed potential Kadomtsev–Petviashvili equation: its integrability, kinky-quasiperiodic, kink-like breather, lump-kink solutions with mixed backgrounds	5
A novel coupled p ( x ) and fractional PDE denoising model with theoretical results	5
Defect deferred correction method for two domain natural convection problem	5
Efficient pricing and calibration of high-dimensional basket options	5
Error analysis of Haar wavelet-based Galerkin numerical method with application to various nonlinear optimal control problems	5
Series solution and Chebyshev collocation method for the initial value problem of Emden-Fowler equation	4
Numerical computation for rogue waves in the coupled nonlinear Schrödinger equations with the coherent coupling effect	4
Novel methodological and computational techniques for uncertainty quantification in diabetes short-term management models using real data	4
High accuracy compact difference and multigrid methods for two-dimensional time-dependent nonlinear advection-diffusion-reaction problems	4
A new options pricing method: semi-stochastic kernel regression method with constraints	4
Approximating solutions of the generalized modification of the system of equilibrium problems and fixed point problem of a nonexpansive mapping	4
Legendre collocation method for new generalized fractional advection-diffusion equation	4
The enhanced boundary knot method with fictitious sources for solving Helmholtz-type equations	4
Numerical approximations based on sextic B-spline functions for solving fourth-order singular problems	4
A fourth-order numerical method for solving a class of derivative-dependent nonlinear singular boundary value problems	4
Error analysis of a Haar wavelets-based numerical method with its application to a nonlinear fractional dengue model	4
An explicit high-order compact finite difference scheme for the three-dimensional acoustic wave equation with variable speed of sound	4
Why Magnus expansion	4
A gradient-based calibration method for the Heston model	4

On the simultaneous reconstruction of the initial diffusion time and source term for the time-fractional diffusion equation	4
Multiwave interaction solutions for a (3 + 1)-dimensional generalized BKP equation	4
A mollification regularization method with Dirichlet kernel to solve potential-free field inverse Schrödinger Cauchy problem	4
Threshold behaviour of a stochastic vector plant model for tomato yellow curl leaves disease: a study based on mathematical analysis and simulation	4
Stabilized equal lower-order finite element methods for simulating Brinkman equations in porous media	4
Continuous attractors of fuzzy coupled recurrent neural networks	4
Numerical analysis of a fully discrete stabilized FEM for system of singularly perturbed parabolic IBVPs	4
Conservative second-order finite difference method for Camassa–Holm equation with periodic boundary condition	4
FDM-PINN: Physics-informed neural network based on fictitious domain method	3
Efficiency energy-preserving cosine pseudo-spectral algorithms for the sine-Gordon equation with Neumann boundary conditions	3
Numerical analysis of a dynamic viscoplastic contact problem	3
On frame diagonalization of square matrices	3
Numerical simulation of a fractional Davey–Stewartson model via a conservative scheme: preservation of mass, energy and momenta	3
A dynamical mathematical model for crime evolution based on a compartmental system with interactions	3
Approximate solution to solve singular variable-order fractional Volterra–Fredholm integral partial differential equations type defined using hybrid functions	3
Forward starting options pricing under a regime-switching jump-diffusion model with Wishart stochastic volatility and stochastic interest rate	3
Pressure robust hybrid mixed finite element method for Darcy–Forchheimer model	3
Uniformly convergent hybrid numerical scheme for singularly perturbed turning point problems with delay	3
A Galerkin approach to solitary wave propagation for the second-order nonlinear evolution equation based on quartic B-spline functions	3
Numerical solutions for nonlinear multi-term fractional differential equations via Dickson operational matrix	3
Analysis of a semi-Lagrangian numerical method in a cell dwarfism model	3
Impulsive effects on stochastic bidirectional associative memory neural networks with reaction-diffusion and leakage delays	3
RETRACTED ARTICLE: Mathematical techniques and applications of linear differential equation	3
A parallel stabilized quadratic equal-order finite element algorithm for the steady Navier–Stokes equations	3
A randomized trapezoidal quadrature	3
Structure preserving subspace methods for the general coupled discrete-time periodic matrix equation and its application in antilinear periodic system	3
Modelling and filtering for dynamic investment in the precious-metals market	3
Characteristic mixed volume element for compressible two-phase displacement in porous media	3
Energy stability of a temporal variable-step difference scheme for time-fractional nonlinear fourth-order reaction–diffusion equation	3
Superconvergent spectral projection and multi-projection methods for nonlinear Fredholm integral equations	3
Integer cum fractional ordered active-adaptive synchronization to control vasospasm in chaotic blood vessels to reduce risk of COVID-19 infections	3
Flexible parameter selection methods for Rician noise removal with convergence guarantee	3
A convergent numerical scheme to a McKendrick–von Foerster equation with diffusion	3
A novel efficient numerical solution of Laplace equation with mixed boundary conditions	3
Exponential input-to-state stability for neutral stochastic delay differential equations with Lévy noise and Markovian switching	3