OOIR: Observatory of International Research

Papers

(The TQCC of East Asian Journal on Applied Mathematics is 2. 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
Lie Symmetry Analysis and Wave Propagation in Variable-Coefficient Nonlinear Physical Phenomena	22
Closed Form Solutions of the Perturbed Gerdjikov-Ivanov Equation with Variable Coefficients	22
Localised Nonlinear Wave Interaction in the Generalised Kadomtsev-Petviashvili Equation	19
Study on Lump Behavior for a New (3+1)-Dimensional Generalised Kadomtsev-Petviashvili Equation	10
On Relaxed Greedy Randomized Augmented Kaczmarz Methods for Solving Large Sparse Inconsistent Linear Systems	9
Dispersion-Managed Lump Waves in a Spatial Symmetric KP Model	9
Optimal Convergence Rates in Time-Fractional Discretisations: The ${\rm L1}$, $\overline{{\rm L1}}$ and Alikhanov Schemes	8
Lump and Interaction Solutions of the (2+1)-Dimensional bSK Equation	7
A Fast Temporal Second-Order Compact ADI Scheme for Time Fractional Mixed Diffusion-Wave Equations	7
Numerical Investigation to the Effect of Initial Guess for Phase-Field Models	6
Application of the Nonlinear Steepest Descent Method to the Coupled Sasa-Satsuma Equation	6
High-Order Non-Conservative Simulation of Hyperbolic Moment Models in Partially-Conservative Form	6
A High-Order Efficient Optimised Global Hybrid Method for Singular Two-Point Boundary Value Problems	6
Achieving Superconvergence by One-Dimensional Discontinuous Finite Elements: The CDG Method	6
A Priori Error Analysis of Mixed Virtual Element Methods for Optimal Control Problems Governed by Darcy Equation	5
Crank-Nicolson Method of a Two-Grid Finite Volume Element Algorithm for Nonlinear Parabolic Equations	5
Inverse Scattering Transform for the Defocusing Manakov System with Non-Parallel Boundary Conditions at Infinity	4
Optimisation of Biological Transport Networks	4
Modeling and Simulation of a Ternary System for Macromolecular Microsphere Composite Hydrogels	4
Novel Rogue Waves for a Mixed Coupled Nonlinear Schrödinger Equation on Darboux-Dressing Transformation	4
A Second Order Numerical Scheme for Fractional Option Pricing Models	3
Boundedness in a Forager-Exploiter Model Accounting for Gradient-Dependent Flux-Limitation	3
An Implicit Staggered Hybrid Finite Volume/Finite Element Solver for the Incompressible Navier-Stokes Equations	3
An Algebraic Multigrid Method for Eigenvalue Problems and Its Numerical Tests	3
Regularized Numerical Methods for the Nonlinear Schrödinger Equation with Singular Nonlinearity	3

Efficient Hermite Spectral Methods for Space Tempered Fractional Diffusion Equations	3
Improved Inexact Alternating Direction Methods for a Class of Nonlinear Complementarity Problems	3
An Energy Stable Second-Order Accurate Scheme for Microphase Separation of Periodic Diblock Copolymers	3
On Convergence of the Partially Randomized Extended Kaczmarz Method	3
An Efficient Mixed Conjugate Gradient Method for Solving Unconstrained Optimisation Problems	2
A Weak Galerkin Finite Element Method for $p$-Laplacian Problem	2
Stability of Spectral Collocation Schemes with Explicit-Implicit-Null Time-Marching for Convection-Diffusion and Convection-Dispersion Equations	2
Advection-Pressure Splitting Schemes for the Equations of Blood Flow. Conservative and Non-Conservative Forms	2
Convergence of Extrapolated Dynamic String-Averaging Cutter Methods and Applications	2
An Efficient Iterative Approach to Large Sparse Nonlinear Systems with Non-Hermitian Jacobian Matrices	2
Fast Solvers for Systems of Linear Equations with Block-Band Matrices	2
A Fast Two-Level Strang Splitting Method for Multi-Dimensional Spatial Fractional Allen-Cahn Equations with Discrete Maximum Principle	2
On the Periodic Solutions of the Davey-Stewartson Systems	2
A Linearized Structure-Preserving Numerical Scheme for a Gradient Flow Model of the Kohn-Sham Density Functional Theory	2
Local and Parallel Finite Element Schemes for the Elastic Transmission Eigenvalue Problem	2
A Novel Approach to Simulate Lane-Emden and Emden-Fowler Equations Using Curriculum Learning-Based Unsupervised Symplectic Artificial Neural Network	2
A Superconvergent Nonconforming Mixed FEM for Multi-Term Time-Fractional Mixed Diffusion and Diffusion-Wave Equations with Variable Coefficients	2
Integro Cubic Splines on Non-Uniform Grids and Their Properties	2
The Random Feature Method for Time-Dependent Problems	2
Approximation Analysis of Convolutional Neural Networks	2
A Compact Difference Scheme for Time-Fractional Dirichlet Biharmonic Equation on Temporal Graded Meshes	2
Optimal Control Problem for a Reaction-Diffusion System of Three Populations	2
Achieving Superconvergence by One-Dimensional Discontinuous Finite Elements: Weak Galerkin Method	2
Regularised Finite Difference Methods for the Logarithmic Klein-Gordon Equation	2
Stability and Convergence of $L1$-Galerkin Spectral Methods for the Nonlinear Time Fractional Cable Equation	2
A Fast Block Coordinate Descent Method for Solving Linear Least-Squares Problems	2
Linearized Learning with Multiscale Deep Neural Networks for Stationary Navier-Stokes Equations with Oscillatory Solutions	2
Additive Inexact Block Triangular Preconditioners for Saddle Point Problems Arising in Meshfree Discretization of Piezoelectric Equations	2
An Efficient Feature-Preserving Image Denoising Algorithm Based on a Spatial-Fractional Anisotropic Diffusion Equation	2