OOIR: Observatory of International Research

Papers

(The H4-Index of Journal of Scientific Computing is 24. 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 2020-04-01 to 2024-04-01.)

Article	Citations
Scientific Machine Learning Through Physics–Informed Neural Networks: Where we are and What’s Next	327
A Comprehensive Deep Learning-Based Approach to Reduced Order Modeling of Nonlinear Time-Dependent Parametrized PDEs	107
A Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Square Phase Field Crystal Equation	51
Time-Fractional Allen–Cahn Equations: Analysis and Numerical Methods	49
The High Order Augmented Finite Volume Methods Based on Series Expansion for Nonlinear Degenerate Parabolic Equations	47
Unconditional Stability and Optimal Error Estimates of Euler Implicit/Explicit-SAV Scheme for the Navier–Stokes Equations	39
Linearly Implicit and High-Order Energy-Conserving Schemes for Nonlinear Wave Equations	38
Mathematical Analysis and the Local Discontinuous Galerkin Method for Caputo–Hadamard Fractional Partial Differential Equation	38
Solving the Kolmogorov PDE by Means of Deep Learning	38
Energy Stable Numerical Schemes for Ternary Cahn-Hilliard System	35
Generalised Latent Assimilation in Heterogeneous Reduced Spaces with Machine Learning Surrogate Models	33
A Preconditioning Technique for an All-at-once System from Volterra Subdiffusion Equations with Graded Time Steps	33
Subgradient Extragradient Method with Double Inertial Steps for Variational Inequalities	32
Nonuniform Alikhanov Linearized Galerkin Finite Element Methods for Nonlinear Time-Fractional Parabolic Equations	32
Inertial-Type Algorithm for Solving Split Common Fixed Point Problems in Banach Spaces	32
Numerical Solution of the Parametric Diffusion Equation by Deep Neural Networks	32
On High Order ADER Discontinuous Galerkin Schemes for First Order Hyperbolic Reformulations of Nonlinear Dispersive Systems	30
Strong Convergence of Self-adaptive Inertial Algorithms for Solving Split Variational Inclusion Problems with Applications	30
Analysis of the SBP-SAT Stabilization for Finite Element Methods Part I: Linear Problems	28
Optimal Order of Uniform Convergence for Finite Element Method on Bakhvalov-Type Meshes	28
On Thermodynamically Compatible Finite Volume Methods and Path-Conservative ADER Discontinuous Galerkin Schemes for Turbulent Shallow Water Flows	26
An Energy Stable Finite Element Scheme for the Three-Component Cahn–Hilliard-Type Model for Macromolecular Microsphere Composite Hydrogels	26
An H2N2 Interpolation for Caputo Derivative with Order in (1, 2) and Its Application to Time-Fractional Wave Equations in More Than One Space Dimension	26
Finite Element Methods Based on Two Families of Second-Order Numerical Formulas for the Fractional Cable Model with Smooth Solutions	25
Exponential Runge–Kutta Method for Two-Dimensional Nonlinear Fractional Complex Ginzburg–Landau Equations	24

Convergence of Relaxed Inertial Subgradient Extragradient Methods for Quasimonotone Variational Inequality Problems