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 2021-09-01 to 2025-09-01.)
ArticleCitations
71
Spectral Galerkin method for state constrained optimal control of fractional advection‐diffusion‐reaction equations33
Numerical convergence and stability analysis for a nonlinear mathematical model of prostate cancer18
An Enhanced Lagrangian‐Eulerian Method for a Class of Balance Laws: Numerical Analysis via a Weak Asymptotic Method With Applications16
Determining a time‐varying potential in time‐fractional diffusion from observation at a single point16
A finite volume scheme preserving the invariant region property for a class of semilinear parabolic equations on distorted meshes16
Error Estimates of a Space‐Time Spectral Method for Nonlinear Klein–Gordon Equation With Unknown Coefficients15
Integrated radial basis functions to simulate modified anomalous sub‐diffusion equation14
A stabilizer free weak Galerkin finite element method for second‐order Sobolev equation13
Convergence analysis of the splitting method to the nonlinear heat equation13
Optimal error estimates of a decoupled finite element scheme for the unsteady inductionless MHD equations12
A parareal exponential integrator finite element method for semilinear parabolic equations12
Issue Information12
Numerical approximation for hybrid‐dimensional flow and transport in fractured porous media12
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