OOIR: Observatory of International Research

Papers

(The H4-Index of Journal of Scientific Computing is 26. 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
Scientific Machine Learning Through Physics–Informed Neural Networks: Where we are and What’s Next	587
A Comprehensive Deep Learning-Based Approach to Reduced Order Modeling of Nonlinear Time-Dependent Parametrized PDEs	127
A Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Square Phase Field Crystal Equation	69
Time-Fractional Allen–Cahn Equations: Analysis and Numerical Methods	62
The High Order Augmented Finite Volume Methods Based on Series Expansion for Nonlinear Degenerate Parabolic Equations	58
Unconditional Stability and Optimal Error Estimates of Euler Implicit/Explicit-SAV Scheme for the Navier–Stokes Equations	56
Mathematical Analysis and the Local Discontinuous Galerkin Method for Caputo–Hadamard Fractional Partial Differential Equation	50
Generalised Latent Assimilation in Heterogeneous Reduced Spaces with Machine Learning Surrogate Models	45
Subgradient Extragradient Method with Double Inertial Steps for Variational Inequalities	45
Solving the Kolmogorov PDE by Means of Deep Learning	40
Numerical Solution of the Parametric Diffusion Equation by Deep Neural Networks	39
On High Order ADER Discontinuous Galerkin Schemes for First Order Hyperbolic Reformulations of Nonlinear Dispersive Systems	37
Improved Architectures and Training Algorithms for Deep Operator Networks	37
A Preconditioning Technique for an All-at-once System from Volterra Subdiffusion Equations with Graded Time Steps	36
Numerical solution and bifurcation analysis of nonlinear partial differential equations with extreme learning machines	34
Strong Convergence of Self-adaptive Inertial Algorithms for Solving Split Variational Inclusion Problems with Applications	33
Inertial-Type Algorithm for Solving Split Common Fixed Point Problems in Banach Spaces	33
Convergence of Relaxed Inertial Subgradient Extragradient Methods for Quasimonotone Variational Inequality Problems	30
On Thermodynamically Compatible Finite Volume Methods and Path-Conservative ADER Discontinuous Galerkin Schemes for Turbulent Shallow Water Flows	30
An Energy Stable Finite Element Scheme for the Three-Component Cahn–Hilliard-Type Model for Macromolecular Microsphere Composite Hydrogels	30
Analysis of the SBP-SAT Stabilization for Finite Element Methods Part I: Linear Problems	29
Stabilized Exponential-SAV Schemes Preserving Energy Dissipation Law and Maximum Bound Principle for The Allen–Cahn Type Equations	28
Nonlinear Transform Induced Tensor Nuclear Norm for Tensor Completion	27
Adaptive Radial Basis Function Partition of Unity Interpolation: A Bivariate Algorithm for Unstructured Data	27
Algorithms for Nonnegative Matrix Factorization with the Kullback–Leibler Divergence	26

Relaxed Forward–Backward Splitting Methods for Solving Variational Inclusions and Applications