Numerical Methods for Partial Differential Equations

Papers
(The H4-Index of Numerical Methods for Partial Differential Equations is 11. 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 2021-04-01 to 2025-04-01.)
ArticleCitations
Dual least‐squares finite element method with stabilization68
New quadratic/serendipity finite volume element solutions on arbitrary triangular/quadrilateral meshes28
Behavior of Lagrange‐Galerkin solutions to the Navier‐Stokes problem for small time increment26
A finite volume scheme preserving the invariant region property for a class of semilinear parabolic equations on distorted meshes23
A second order ensemble method with different subdomain time steps for simulating coupled surface‐groundwater flows17
Convergence of a finite element method on a Bakhvalov‐type mesh for a singularly perturbed convection–diffusion equation in 2D15
A novel local Hermite radial basis function‐based differential quadrature method for solving two‐dimensional variable‐order time fractional advection–diffusion equation with Neumann boundary condition14
Issue Information14
Issue Information13
Convergence and optimality of an adaptive modified weak Galerkin finite element method13
The TRUNC element in any dimension and application to a modified Poisson equation12
11
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Parameter‐robust mixed element method for poroelasticity with Darcy‐Forchheimer flow11
An Enhanced Lagrangian‐Eulerian Method for a Class of Balance Laws: Numerical Analysis via a Weak Asymptotic Method With Applications11
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