OOIR: Observatory of International Research

Papers

(The H4-Index of SIAM Journal on Scientific Computing is 23. 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.)

Article	Citations
Understanding and Mitigating Gradient Flow Pathologies in Physics-Informed Neural Networks	589
Physics-Informed Neural Networks with Hard Constraints for Inverse Design	288
When Do Extended Physics-Informed Neural Networks (XPINNs) Improve Generalization?	62
Solving Inverse Stochastic Problems from Discrete Particle Observations Using the Fokker--Planck Equation and Physics-Informed Neural Networks	58
Adaptive Deep Learning for High-Dimensional Hamilton--Jacobi--Bellman Equations	51
An Energy Stable and Maximum Bound Preserving Scheme with Variable Time Steps for Time Fractional Allen--Cahn Equation	51
The Random Feature Model for Input-Output Maps between Banach Spaces	51
MIONet: Learning Multiple-Input Operators via Tensor Product	48
Sparse Cholesky Factorization by Kullback--Leibler Minimization	46
Stabilized Integrating Factor Runge--Kutta Method and Unconditional Preservation of Maximum Bound Principle	46
Tensor Decomposition Methods for High-dimensional Hamilton--Jacobi--Bellman Equations	44
On a Novel Fully Decoupled, Second-Order Accurate Energy Stable Numerical Scheme for a Binary Fluid-Surfactant Phase-Field Model	42
Deep Splitting Method for Parabolic PDEs	40
An Unfitted Hybrid High-Order Method with Cell Agglomeration for Elliptic Interface Problems	34
A Stabilizer-Free, Pressure-Robust, and Superconvergence Weak Galerkin Finite Element Method for the Stokes Equations on Polytopal Mesh	33
Failure-Informed Adaptive Sampling for PINNs	30
Improving “Fast Iterative Shrinkage-Thresholding Algorithm”: Faster, Smarter, and Greedier	30
Data-Driven Learning of Nonautonomous Systems	30
The Direct Radial Basis Function Partition of Unity (D-RBF-PU) Method for Solving PDEs	29
Stochastic Rounding and Its Probabilistic Backward Error Analysis	28
A Random Batch Ewald Method for Particle Systems with Coulomb Interactions	25
A Multifidelity Ensemble Kalman Filter with Reduced Order Control Variates	24
A Least Squares Radial Basis Function Finite Difference Method with Improved Stability Properties	23