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 2020-11-01 to 2024-11-01.)
ArticleCitations
Finite basis physics-informed neural networks (FBPINNs): a scalable domain decomposition approach for solving differential equations41
Error analysis for physics-informed neural networks (PINNs) approximating Kolmogorov PDEs29
The pointwise error estimates of two energy-preserving fourth-order compact schemes for viscous Burgers’ equation28
A fast ADI orthogonal spline collocation method with graded meshes for the two-dimensional fractional integro-differential equation22
The role of mesh quality and mesh quality indicators in the virtual element method22
Persistence Curves: A canonical framework for summarizing persistence diagrams20
Efficient approximation of solutions of parametric linear transport equations by ReLU DNNs19
Virtual element methods for the three-field formulation of time-dependent linear poroelasticity19
Stability and error estimates for the variable step-size BDF2 method for linear and semilinear parabolic equations19
p- and hp- virtual elements for the Stokes problem16
Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation16
Efficient computation of bifurcation diagrams with a deflated approach to reduced basis spectral element method15
A family of C1 quadrilateral finite elements15
Structure-preserving interpolation of bilinear control systems13
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