Numerical Methods for Partial Differential Equations

Papers
(The H4-Index of Numerical Methods for Partial Differential Equations is 13. 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 2022-08-01 to 2026-08-01.)
ArticleCitations
Error Estimates of a Space‐Time Spectral Method for Nonlinear Klein–Gordon Equation With Unknown Coefficients73
A finite volume scheme preserving the invariant region property for a class of semilinear parabolic equations on distorted meshes52
Numerical convergence and stability analysis for a nonlinear mathematical model of prostate cancer21
Determining a time‐varying potential in time‐fractional diffusion from observation at a single point20
An Enhanced Lagrangian‐Eulerian Method for a Class of Balance Laws: Numerical Analysis via a Weak Asymptotic Method With Applications20
An Extended Virtual Element Method for the Shallow Shell Model19
Issue Information16
Issue Information15
Optimal error estimates of a decoupled finite element scheme for the unsteady inductionless MHD equations15
Numerical approximation for hybrid‐dimensional flow and transport in fractured porous media14
Convergence analysis of the splitting method to the nonlinear heat equation14
A Modified Brinkman Penalization Fictitious Domain Method for the Unsteady Navier‐Stokes Equations13
A stabilizer free weak Galerkin finite element method for second‐order Sobolev equation13
A parareal exponential integrator finite element method for semilinear parabolic equations13
Numerical Analysis of the Quadratic Spline Collocation Method and Averaged L1 Scheme on Graded Mesh for Nonlinear Time‐Fractional Fourth‐Order Reaction‐Diffusion Problem13
A Linearized Conservative Compact Difference Scheme for the BBM–Burgers Equation With Numerical Simulations13
13
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