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 2021-11-01 to 2025-11-01.)
ArticleCitations
71
Error Estimates of a Space‐Time Spectral Method for Nonlinear Klein–Gordon Equation With Unknown Coefficients39
An Enhanced Lagrangian‐Eulerian Method for a Class of Balance Laws: Numerical Analysis via a Weak Asymptotic Method With Applications19
Determining a time‐varying potential in time‐fractional diffusion from observation at a single point19
Spectral Galerkin method for state constrained optimal control of fractional advection‐diffusion‐reaction equations17
A finite volume scheme preserving the invariant region property for a class of semilinear parabolic equations on distorted meshes16
Numerical convergence and stability analysis for a nonlinear mathematical model of prostate cancer16
An Extended Virtual Element Method for the Shallow Shell Model15
Issue Information13
Numerical approximation for hybrid‐dimensional flow and transport in fractured porous media13
Optimal error estimates of a decoupled finite element scheme for the unsteady inductionless MHD equations13
A parareal exponential integrator finite element method for semilinear parabolic equations12
Convergence analysis of the splitting method to the nonlinear heat equation12
Integrated radial basis functions to simulate modified anomalous sub‐diffusion equation12
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