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 2020-05-01 to 2024-05-01.)
ArticleCitations
Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation40
The pointwise error estimates of two energy-preserving fourth-order compact schemes for viscous Burgers’ equation24
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 method19
Error analysis for physics-informed neural networks (PINNs) approximating Kolmogorov PDEs18
Efficient approximation of solutions of parametric linear transport equations by ReLU DNNs17
Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation17
Virtual element methods for the three-field formulation of time-dependent linear poroelasticity16
Persistence Curves: A canonical framework for summarizing persistence diagrams16
Stability and error estimates for the variable step-size BDF2 method for linear and semilinear parabolic equations15
Multigrid preconditioners for anisotropic space-fractional diffusion equations14
p- and hp- virtual elements for the Stokes problem14
A unified analysis of a class of quadratic finite volume element schemes on triangular meshes13
Finite basis physics-informed neural networks (FBPINNs): a scalable domain decomposition approach for solving differential equations13
Structure-preserving interpolation of bilinear control systems13
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