Advances in Computational Mathematics

Papers
(The H4-Index of Advances in Computational Mathematics is 14. 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 2022-06-01 to 2026-06-01.)
ArticleCitations
Using the FES framework to derive new physical degrees of freedom for finite element spaces of differential forms233
Exponential decay and numerical treatment for mixture problem with Fourier law and frictional damping82
Data-driven uncertainty quantification in macroscopic traffic flow models61
Stable interpolation with exponential-polynomial splines and node selection via greedy algorithms26
A low-rank neural representation of entropy solutions23
A three-step defect-correction stabilized algorithm for incompressible flows with non-homogeneous Dirichlet boundary conditions21
Inverting the fundamental diagram and forecasting boundary conditions: how machine learning can improve macroscopic models for traffic flow20
Variational methods for solving numerically magnetostatic systems17
Dictionary-based model reduction for state estimation17
Ellipsoidal conformal and area-/volume-preserving parameterizations and associated optimal mass transportations17
Multilevel approximation of Gaussian random fields: Covariance compression, estimation, and spatial prediction16
Mean-square convergence rates of implicit Milstein type methods for SDEs with non-Lipschitz coefficients15
Averaging property of wedge product and naturality in discrete exterior calculus15
WKB-based third order method for the highly oscillatory 1D stationary Schrödinger equation15
Stable least-squares space-time boundary element methods for the wave equation14
Multilevel Monte Carlo simulation for the Heston stochastic volatility model14
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