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 2021-10-01 to 2025-10-01.)
ArticleCitations
Fast solution method and simulation for the 2D time-space fractional Black-Scholes equation governing European two-asset option pricing47
Uniformly accurate nested Picard iterative integrators for the Klein-Gordon-Schrödinger equation in the nonrelativistic regime44
The backward rounding error analysis of the quaternion Givens QR decomposition40
Optimal polynomial approximation to rational matrix functions using the Arnoldi algorithm32
Correction to: Fitted schemes for Caputo-Hadamard fractional differential equations27
A unified convergence analysis of the derivative-free projection-based method for constrained nonlinear monotone equations24
ENO-based high-order data-bounded and constrained positivity-preserving interpolation22
The application of Goeken–Johnson’s Runge–Kutta methods in unconstrained convex optimization21
Two novel numerical methods for gradient flows: generalizations of the Invariant Energy Quadratization method21
Numerical analysis of a linearly backward Euler method with truncated Wiener process for a stochastic SIS model20
Modified globally convergent Polak-Ribière-Polyak conjugate gradient methods with self-correcting property for large-scale unconstrained optimization20
Reducing swamp behavior for the canonical polyadic decomposition problem by rank-1 freezing20
The linear barycentric rational backward differentiation formulae for stiff ODEs on nonuniform grids20
Balanced-norm error estimate of the local discontinuous Galerkin method on layer-adapted meshes for reaction-diffusion problems20
Local and parallel finite element methods based on two-grid discretizations for the unsteady mixed Stokes-Darcy model with the Beavers-Joseph interface condition19
Modulus-based synchronous multisplitting iteration methods for large sparse vertical linear complementarity problems19
Convergence, weak w2 stability, and data dependence results for the F iterative scheme in hyperbolic spaces19
Several accelerated subspace minimization conjugate gradient methods based on regularization model and convergence rate analysis for nonconvex problems18
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