Numerical Methods for Partial Differential Equations

Papers
(The H4-Index of Numerical Methods for Partial Differential Equations is 12. 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 2021-06-01 to 2025-06-01.)
ArticleCitations
69
An Enhanced Lagrangian‐Eulerian Method for a Class of Balance Laws: Numerical Analysis via a Weak Asymptotic Method With Applications31
Linearized and decoupled structure‐preserving finite difference methods and their analyses for the coupled Schrödinger–Boussinesq equations30
Spectral Galerkin method for state constrained optimal control of fractional advection‐diffusion‐reaction equations18
Numerical convergence and stability analysis for a nonlinear mathematical model of prostate cancer17
Determining a time‐varying potential in time‐fractional diffusion from observation at a single point14
A finite volume scheme preserving the invariant region property for a class of semilinear parabolic equations on distorted meshes14
The divergence‐free nonconforming virtual element method for the Navier–Stokes problem13
Numerical approximation for hybrid‐dimensional flow and transport in fractured porous media13
Integrated radial basis functions to simulate modified anomalous sub‐diffusion equation12
Convergence analysis of the splitting method to the nonlinear heat equation12
Optimal error estimates of a decoupled finite element scheme for the unsteady inductionless MHD equations12
A stabilizer free weak Galerkin finite element method for second‐order Sobolev equation12
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