Numerical Algorithms

Papers
(The H4-Index of Numerical Algorithms is 18. 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.)
ArticleCitations
Fast solution method and simulation for the 2D time-space fractional Black-Scholes equation governing European two-asset option pricing49
Uniformly accurate nested Picard iterative integrators for the Klein-Gordon-Schrödinger equation in the nonrelativistic regime45
ENO-based high-order data-bounded and constrained positivity-preserving interpolation41
Correction to: Fitted schemes for Caputo-Hadamard fractional differential equations36
The application of Goeken–Johnson’s Runge–Kutta methods in unconstrained convex optimization27
The linear barycentric rational backward differentiation formulae for stiff ODEs on nonuniform grids24
Two novel numerical methods for gradient flows: generalizations of the Invariant Energy Quadratization method22
The backward rounding error analysis of the quaternion Givens QR decomposition22
Reducing swamp behavior for the canonical polyadic decomposition problem by rank-1 freezing22
A unified convergence analysis of the derivative-free projection-based method for constrained nonlinear monotone equations21
TRIPs-Py: Techniques for regularization of inverse problems in python21
Local and parallel finite element methods based on two-grid discretizations for the unsteady mixed Stokes-Darcy model with the Beavers-Joseph interface condition20
Krylov iterative methods for linear least squares problems with linear equality constraints20
Several accelerated subspace minimization conjugate gradient methods based on regularization model and convergence rate analysis for nonconvex problems20
Implementation of divided differences to shape preservation20
On the dynamics of Steffensen’s family of root-finding methods for entire function19
A multipoint flux mixed finite element method with mass-conservative characteristic finite element method for incompressible miscible displacement problem19
Positive quadrature formulas on an arc of the unit circle19
Modified globally convergent Polak-Ribière-Polyak conjugate gradient methods with self-correcting property for large-scale unconstrained optimization18
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