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 2021-05-01 to 2025-05-01.)
ArticleCitations
Determining a time‐varying potential in time‐fractional diffusion from observation at a single point69
Numerical convergence and stability analysis for a nonlinear mathematical model of prostate cancer28
Spectral Galerkin method for state constrained optimal control of fractional advection‐diffusion‐reaction equations26
A finite volume scheme preserving the invariant region property for a class of semilinear parabolic equations on distorted meshes17
17
The divergence‐free nonconforming virtual element method for the Navier–Stokes problem14
Linearized and decoupled structure‐preserving finite difference methods and their analyses for the coupled Schrödinger–Boussinesq equations13
An Enhanced Lagrangian‐Eulerian Method for a Class of Balance Laws: Numerical Analysis via a Weak Asymptotic Method With Applications13
Numerical approximation for hybrid‐dimensional flow and transport in fractured porous media12
A stabilizer free weak Galerkin finite element method for second‐order Sobolev equation11
A parareal exponential integrator finite element method for semilinear parabolic equations11
Issue Information11
Optimal error estimates of a decoupled finite element scheme for the unsteady inductionless MHD equations11
Convergence analysis of the splitting method to the nonlinear heat equation11
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