Advances in Computational Mathematics

Papers
(The H4-Index of Advances in Computational Mathematics 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 2020-04-01 to 2024-04-01.)
ArticleCitations
Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation39
Simple maximum principle preserving time-stepping methods for time-fractional Allen-Cahn equation26
The pointwise error estimates of two energy-preserving fourth-order compact schemes for viscous Burgers’ equation23
Optimal H1 spatial convergence of a fully discrete finite element method for the time-fractional Allen-Cahn equation23
A fast ADI orthogonal spline collocation method with graded meshes for the two-dimensional fractional integro-differential equation21
The role of mesh quality and mesh quality indicators in the virtual element method18
Efficient approximation of solutions of parametric linear transport equations by ReLU DNNs17
Virtual element methods for the three-field formulation of time-dependent linear poroelasticity16
Error analysis for physics-informed neural networks (PINNs) approximating Kolmogorov PDEs16
Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation16
Persistence Curves: A canonical framework for summarizing persistence diagrams16
p- and hp- virtual elements for the Stokes problem14
Stability and error estimates for the variable step-size BDF2 method for linear and semilinear parabolic equations14
A unified analysis of a class of quadratic finite volume element schemes on triangular meshes13
Multigrid preconditioners for anisotropic space-fractional diffusion equations13
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