Advances in Computational Mathematics

Papers
(The H4-Index of Advances in Computational Mathematics is 15. 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
Using the FES framework to derive new physical degrees of freedom for finite element spaces of differential forms268
Exponential decay and numerical treatment for mixture problem with Fourier law and frictional damping87
Data-driven uncertainty quantification in macroscopic traffic flow models69
Stable interpolation with exponential-polynomial splines and node selection via greedy algorithms26
A three-step defect-correction stabilized algorithm for incompressible flows with non-homogeneous Dirichlet boundary conditions25
Ellipsoidal conformal and area-/volume-preserving parameterizations and associated optimal mass transportations21
Inverting the fundamental diagram and forecasting boundary conditions: how machine learning can improve macroscopic models for traffic flow20
Variational methods for solving numerically magnetostatic systems19
Multilevel approximation of Gaussian random fields: Covariance compression, estimation, and spatial prediction19
A low-rank neural representation of entropy solutions18
Dictionary-based model reduction for state estimation17
WKB-based third order method for the highly oscillatory 1D stationary Schrödinger equation16
Averaging property of wedge product and naturality in discrete exterior calculus16
Multilevel Monte Carlo simulation for the Heston stochastic volatility model15
Sharp error estimate of Grünwald-Letnikov scheme for a multi-term time fractional diffusion equation15
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