Applied Numerical Mathematics

Papers
(The H4-Index of Applied Numerical Mathematics is 24. 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.)
ArticleCitations
On high-order schemes for tempered fractional partial differential equations65
Weak convergence of the L1 scheme for a stochastic subdiffusion problem driven by fractionally integrated additive noise51
High-order spline finite element method for solving time-dependent electromagnetic waves44
Convergence analysis of higher-order approximation of singularly perturbed 2D semilinear parabolic PDEs with non-homogeneous boundary conditions43
A finite volume method for a nonlocal thermistor problem43
On the improvement of the triangular Shepard method by non conformal polynomial elements41
An explicit stable finite difference method for the Allen–Cahn equation39
Legendre wavelet method for fractional delay differential equations37
Numerical solution of a hydrodynamic model with cavitation using finite difference method at arbitrary meshes37
A perturbed twofold saddle point-based mixed finite element method for the Navier-Stokes equations with variable viscosity37
A space-time spectral method for solving the nonlinear Klein-Gordon equation35
Global convergence of a descent PRP type conjugate gradient method for nonconvex optimization34
A stabilized divergence-free virtual element scheme for the nematic liquid crystal flows32
Projection methods for approximate solution of a class of nonlinear Fredholm integro-differential equations31
A fourth-order block-centered compact difference scheme for nonlinear contaminant transport equations with adsorption27
Tamed Euler–Maruyama approximation of McKean–Vlasov stochastic differential equations with super-linear drift and Hölder diffusion coefficients27
Weak Galerkin finite element method for linear poroelasticity problems27
A new approach for solving one-dimensional fractional boundary value problems via Haar wavelet collocation method27
Multi-step Hermite-Birkhoff predictor-corrector schemes26
Nonconforming virtual element methods for velocity-pressure Stokes eigenvalue problem26
On the identification of nonlinear terms in the generalized Camassa-Holm equation involving dual-power law nonlinearities26
Fundamental solutions for the Stokes equations: Numerical applications for 2D and 3D flows26
Optimal error estimates of the discrete shape gradients for shape optimizations governed by the Stokes-Brinkman equations25
Editorial Board24
A new linearized second-order energy-stable finite element scheme for the nonlinear Benjamin-Bona-Mahony-Burgers equation24
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