OOIR: Observatory of International Research

Papers

(The TQCC of Computational Methods in 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 2021-09-01 to 2025-09-01.)

Article	Citations
Approximate Deconvolution with Correction – A High Fidelity Model for Magnetohydrodynamic Flows at High Reynolds and Magnetic Reynolds Numbers	33
Frontmatter	17
Two-Level Error Estimation for the Integral Fractional Laplacian	11
An Interior Maximum Norm Error Estimate for the Symmetric Interior Penalty Method on Planar Polygonal Domains	11
Fast Barrier Option Pricing by the COS BEM Method in Heston Model (with Matlab Code)	9
Guaranteed Lower and Upper Bounds for Eigenvalues of Second Order Elliptic Operators in any Dimension	8
Frontmatter	7
A Symmetric Interior Penalty Method for an Elliptic Distributed Optimal Control Problem with Pointwise State Constraints	7
Tensor-Product Space-Time Goal-Oriented Error Control and Adaptivity With Partition-of-Unity Dual-Weighted Residuals for Nonstationary Flow Problems	7
Error Estimates for FE-BE Coupling of Scattering of Waves in the Time Domain	7
An Adaptive Two-Grid Solver for DPG Formulation of Compressible Navier–Stokes Equations in 3D	6
Guaranteed Lower Eigenvalue Bounds for Steklov Operators Using Conforming Finite Element Methods	6
Computational Methods in Applied Mathematics (CMAM 2022 Conference, Part 2)	6
Frontmatter	5
Anisotropic Adaptive Finite Elements for an Elliptic Problem with Strongly Varying Diffusion Coefficient	5
Asymptotic Preserving Semi-Implicit Scheme for the Shallow Water Equations with Non-Flat Bottom Topography and Manning Friction Term	5
A Staggered Discontinuous Galerkin Method for Quasi-Linear Second Order Elliptic Problems of Nonmonotone Type	5
An Efficient Numerical Method for Time Domain Electromagnetic Wave Propagation in Co-axial Cables	5
Bernoulli Free Boundary Problems Under Uncertainty: The Convex Case	5
Multivariate Analysis-Suitable T-Splines of Arbitrary Degree	4
Force Computation for Dielectrics Using Shape Calculus	4
Finite Element Penalty Method for the Oldroyd Model of Order One with Non-smooth Initial Data	4
A Priori Analysis of a Symmetric Interior Penalty Discontinuous Galerkin Finite Element Method for a Dynamic Linear Viscoelasticity Model	4
Weak Convergence of the Rosenbrock Semi-implicit Method for Semilinear Parabolic SPDEs Driven by Additive Noise	4
Integral Representations and Quadrature Schemes for the Modified Hilbert Transformation	4

Stability and Error Estimates of a Novel Spectral Deferred Correction Time-Marching with Local Discontinuous Galerkin Methods for Parabolic Equations	4
Discontinuous Galerkin Methods for the Vlasov–Stokes System	4
Recent Advances in Finite Element Methods	4
Semi- and Fully-Discrete Analysis of Lowest-Order Nonstandard Finite Element Methods for the Biharmonic Wave Problem	4
A Hodge Decomposition Finite Element Method for an Elliptic Maxwell Boundary Value Problem on General Polyhedral Domains	4
A Multilevel Extension of the GDSW Overlapping Schwarz Preconditioner in Two Dimensions	4
An Inverse Matrix Eigenvalue Problem for Constructing a Vibrating Rod	4
Frontmatter	4
A Novel Study Based on Shifted Jacobi Polynomials to Find the Numerical Solutions of Nonlinear Stochastic Differential Equations Driven by Fractional Brownian Motion	3
Two Methods for the Implicit Integration of Stiff Reaction Systems	3
An Analysis of High-Frequency Helmholtz Problems in Domains with Conical Points and Their Finite Element Discretisation	3
Positivity-Preserving Numerical Method for a Stochastic Multi-Group SIR Epidemic Model	3
Implicit-Explicit Finite Difference Approximations of a Semilinear Heat Equation with Logarithmic Nonlinearity	3
A Discontinuous Galerkin and Semismooth Newton Approach for the Numerical Solution of Bingham Flow with Variable Density	3
Nonlinear PDE Models in Semi-relativistic Quantum Physics	3
CVEM-BEM Coupling for the Simulation of Time-Domain Wave Fields Scattered by Obstacles with Complex Geometries	3
Korn’s Inequality and Eigenproblems for the Lamé Operator	3
FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert Equations via Convolution Quadrature: Weak Form and Numerical Approximation	3
Multiscale Sub-grid Correction Method for Time-Harmonic High-Frequency Elastodynamics with Wave Number Explicit Bounds	3
Space-Time FEM for the Vectorial Wave Equation under Consideration of Ohm’s Law	3
Robust PRESB Preconditioning of a 3-Dimensional Space-Time Finite Element Method for Parabolic Problems	3
Well-Posedness and Convergence Analysis of PML Method for Time-Dependent Acoustic Scattering Problems Over a Locally Rough Surface	3
A Convenient Inclusion of Inhomogeneous Boundary Conditions in Minimal Residual Methods	3
The Tracking of Derivative Discontinuities for Delay Fractional Equations Based on Fitted L1 Method	3
Reconstruction of the Radiation Condition and Solution for the Helmholtz Equation in a Semi-infinite Strip from Cauchy Data on an Interior Segment	3
Robust Hybrid High-Order Method on Polytopal Meshes with Small Faces	3
Developments on the Stability of the Non-symmetric Coupling of Finite and Boundary Elements	2
Relaxation Quadratic Approximation Greedy Pursuit Method Based on Sparse Learning	2
Novel Raviart–Thomas Basis Functions on Anisotropic Finite Elements	2
Mapped Coercivity for the Stationary Navier–Stokes Equations and Their Finite Element Approximations	2
Three Low Order H-Curl-Curl Finite Elements on Triangular Meshes	2
On Error Estimates of a Discontinuous Galerkin Method of the Boussinesq System of Equations	2
Recent Advances in Boundary Element Methods	2
An ????^????-DPG Method with Application to 2D Convection-Diffusion Problems	2
A Finite Element Method for Two-Phase Flow with Material Viscous Interface	2
An Improvement on a Class of Fixed Point Iterative Methods for Solving Absolute Value Equations	2
Super-Localized Orthogonal Decomposition Method for Heterogeneous Linear Elasticity	2
Spurious Resonances in Coupled Domain-Boundary Variational Formulations of Transmission Problems in Electromagnetism and Acoustics	2
Analysis and Numerical Simulation of Time-Fractional Derivative Contact Problem with Friction in Thermo-Viscoelasticity	2
Simultaneous Inversion of the Space-Dependent Source Term and the Initial Value in a Time-Fractional Diffusion Equation	2
Frontmatter	2
Robust Discretization and Solvers for Elliptic Optimal Control Problems with Energy Regularization	2
A Galerkin Approach to the Generalized Karush–Kuhn–Tucker Conditions for the Solution of an Elliptic Distributed Optimal Control Problem with Pointwise State and Control Constraints	2
Simplified Levenberg–Marquardt Method in Hilbert Spaces	2
A Second-Order Difference Scheme for Generalized Time-Fractional Diffusion Equation with Smooth Solutions	2
A Cost-Efficient Space-Time Adaptive Algorithm for Coupled Flow and Transport	2
Adaptive Absorbing Boundary Layer for the Nonlinear Schrödinger Equation	2
A Mixed Finite Element Method for Coupled Plates	2
A Formulation for a Nonlinear Axisymmetric Magneto-Heat Coupling Problem with an Unknown Nonlocal Boundary Condition	2
A Time-Adaptive Space-Time FMM for the Heat Equation	2

Tensor-Product Vertex Patch Smoothers for Biharmonic Problems	2
On an Optimal AFEM for Elastoplasticity	2
On the Spectrum of an Operator Associated with Least-Squares Finite Elements for Linear Elasticity	2
Multi-Scale Paraxial Models to Approximate Vlasov–Maxwell Equations	2
Implicit/Explicit, BEM/FEM Coupled Scheme for Acoustic Waves with the Wave Equation in the Second Order Formulation	2
A Numerical Study of a Stabilized Hyperbolic Equation Inspired by Models for Bio-Polymerization	2
BEM-Based Magnetic Field Reconstruction by Ensemble Kálmán Filtering	2
Guaranteed Upper Bounds for Iteration Errors and Modified Kačanov Schemes via Discrete Duality	2
High Order Energy Stable Local Discontinuous Galerkin Methods for Camassa–Holm–Novikov Equations	2
Convergence Rates for a Finite Volume Scheme of the Stochastic Heat Equation	2
Computational Multiscale Methods for Nondivergence-Form Elliptic Partial Differential Equations	2
8th Chinese–German Workshop on Computational and Applied Mathematics	2