OOIR: Observatory of International Research

Papers

(The TQCC of Advances in Computational Mathematics is 3. 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 2021-02-01 to 2025-02-01.)

Article	Citations
Retraction-based first-order feasible methods for difference-of-convex programs with smooth inequality and simple geometric constraints	46
Efficient and certified solution of parametrized one-way coupled problems through DEIM-based data projection across non-conforming interfaces	40
Nonlocal optimized schwarz methods for time-harmonic electromagnetics	28
Polynomial spline spaces of non-uniform bi-degree on T-meshes: combinatorial bounds on the dimension	22
An all-frequency stable integral system for Maxwell’s equations in 3-D penetrable media: continuous and discrete model analysis	22
Exponential tractability of L2-approximation with function values	20
Improvement of hierarchical matrices for 3D elastodynamic problems with a complex wavenumber	16
An O(N) algorithm for computing expectation of N-dimensional truncated multi-variate normal distribution I: fundamentals	16
Numerical analysis of nonlinear degenerate parabolic problems with application to eddy current models	15
Multivariate quadrature of a singular integrand	13
An accelerated, high-order accurate direct solver for the Lippmann–Schwinger equation for acoustic scattering in the plane	12
A hybrid collocation-perturbation approach for PDEs with random domains	11
A new framework for polynomial approximation to differential equations	11
Structured interpolation for multivariate transfer functions of quadratic-bilinear systems	11
An alternative approach for order conditions of Runge-Kutta-Nyström methods	10
Convergence of non-stationary semi-discrete RBF schemes for the heat and wave equation	10
Stable interpolation with exponential-polynomial splines and node selection via greedy algorithms	10
An unconditionally stable and $$L^2$$ optimal quadratic finite volume scheme over triangular meshes for anisotropic elliptic equations	9
A structure-preserving algorithm for surface water flows with transport processes	9
Numerical analysis of the direct method for 3D Maxwell’s equation in Kerr-type nonlinear media	9
A generalisation of de la Vallée-Poussin procedure to multivariate approximations	8
Stability analysis for electromagnetic waveguides. Part 2: non-homogeneous waveguides	8
Complex-scaled infinite elements for resonance problems in heterogeneous open systems	8
Error analysis of a collocation method on graded meshes for a fractional Laplacian problem	8
Dictionary-based model reduction for state estimation	8

Spatial best linear unbiased prediction: a computational mathematics approach for high dimensional massive datasets	8
Pointwise error estimates for linear finite element approximation to elliptic Dirichlet problems in smooth domains	7
Matching pursuit with unbounded parameter domains	7
Numerical methods for forward fractional Feynman–Kac equation	7
Reconstruction of low-rank aggregation kernels in univariate population balance equations	7
$$\mathcal {H}_2$$ optimal rational approximation on general domains	7
A posteriori error control for a discontinuous Galerkin approximation of a Keller-Segel model	6
High-order conservative energy quadratization schemes for the Klein-Gordon-Schrödinger equation	6
A three-step defect-correction stabilized algorithm for incompressible flows with non-homogeneous Dirichlet boundary conditions	6
Helmholtz FEM solutions are locally quasi-optimal modulo low frequencies	6
On the recovery of initial status for linearized shallow-water wave equation by data assimilation with error analysis	6
Tensor rank bounds for point singularities in ℝ3	6
Ellipsoidal conformal and area-/volume-preserving parameterizations and associated optimal mass transportations	6
Inverting the fundamental diagram and forecasting boundary conditions: how machine learning can improve macroscopic models for traffic flow	6
p- and hp- virtual elements for the Stokes problem	6
Variational methods for solving numerically magnetostatic systems	6
Solving the quadratic eigenvalue problem expressed in non-monomial bases by the tropical scaling	6
Generalised Wendland functions for the sphere	5
Wavelet adaptive proper orthogonal decomposition for large-scale flow data	5
Convergence of projected subgradient method with sparse or low-rank constraints	5
Bezout-like polynomial equations associated with dual univariate interpolating subdivision schemes	5
Improved a posteriori error bounds for reduced port-Hamiltonian systems	5
Fast and accurate solvers for simulating Janus particle suspensions in Stokes flow	5
Multilevel approximation of Gaussian random fields: Covariance compression, estimation, and spatial prediction	5
Using the FES framework to derive new physical degrees of freedom for finite element spaces of differential forms	5
$$\mathcal {H}$$-inverses for RBF interpolation	5
Topological phase estimation method for reparameterized periodic functions	5
On the balanced truncation error bound and sign parameters from arrowhead realizations	5
On the latent dimension of deep autoencoders for reduced order modeling of PDEs parametrized by random fields	5
Error analysis for physics-informed neural networks (PINNs) approximating Kolmogorov PDEs	5
Corrected trapezoidal rule for near-singular integrals in axi-symmetric Stokes flow	5
Convergence analysis of the Dirichlet-Neumann Waveform Relaxation algorithm for time fractional sub-diffusion and diffusion-wave equations in heterogeneous media	5
Estimates for coefficients in Jacobi series for functions with limited regularity by fractional calculus	5
Arbitrary order spline representation of cohomology generators for isogeometric analysis of eddy current problems	5
Data-driven uncertainty quantification in macroscopic traffic flow models	5
Adaptive and optimal pointwise deconvolution density estimations by wavelets	5
Rectangular eigenvalue problems	4
A well-conditioned direct PinT algorithm for first- and second-order evolutionary equations	4
Zeta correction: a new approach to constructing corrected trapezoidal quadrature rules for singular integral operators	4
State-dependent Riccati equation feedback stabilization for nonlinear PDEs	4
A generalised complete flux scheme for anisotropic advection-diffusion equations	4
Multilevel Monte Carlo simulation for the Heston stochastic volatility model	4
Essentially optimal finite elements for multiscale elliptic eigenvalue problems	4
An O(N) algorithm for computing expectation of N-dimensional truncated multi-variate normal distribution II: computing moments and sparse grid acceleration	4
Efficient computation of the sinc matrix function for the integration of second-order differential equations	4
Implicit finite volume method with a posteriori limiting for transport networks	4
Randomized linear algebra for model reduction—part II: minimal residual methods and dictionary-based approximation	4
Estimating the error in matrix function approximations	4
Rapid evaluation of the spectral signal detection threshold and Stieltjes transform	4
On basis constructions in finite element exterior calculus	4

Adaptive finite element approximation of optimal control problems with the integral fractional Laplacian	4
Stochastic discontinuous Galerkin methods for robust deterministic control of convection-diffusion equations with uncertain coefficients	4
Control strategies for transport networks under demand uncertainty	4
An optimal ansatz space for moving least squares approximation on spheres	4
Numerical exponential decay of thermoelastic waves connected in parallel	4
On convergence of the generalized Lanczos trust-region method for trust-region subproblems	4
Live load matrix recovery from scattering data in linear elasticity	4
Fast gradient methods for uniformly convex and weakly smooth problems	4
A posteriori virtual element method for the acoustic vibration problem	4
Persistence Curves: A canonical framework for summarizing persistence diagrams	4
A family of C1 quadrilateral finite elements	4
Arbitrary high-order structure-preserving methods for the quantum Zakharov system	4
A well-balanced high-order scheme on van Leer-type for the shallow water equations with temperature gradient and variable bottom topography	4
A unified local projection-based stabilized virtual element method for the coupled Stokes-Darcy problem	4
Numerical investigation of agent-controlled pedestrian dynamics using a structure-preserving finite volume scheme	3
Second-order accurate and energy stable numerical scheme for an immiscible binary mixture of nematic liquid crystals and viscous fluids with strong anchoring potentials	3
Linear multi-step methods and their numerical stability for solving gradient flow equations	3
An optimal control framework for adaptive neural ODEs	3
Structure-preserving interpolation of bilinear control systems	3
A rational RBF interpolation with conditionally positive definite kernels	3
An adaptive multiscale hybrid-mixed method for the Oseen equations	3
Numerical algorithms for water waves with background flow over obstacles and topography	3
Numerical simulation of resistance furnaces by using distributed and lumped models	3
Numerical investigation of two second-order, stabilized SAV ensemble methods for the Navier–Stokes equations	3
Dual frames compensating for erasures—a non-canonical case	3
Numerical analysis for optimal quadratic spline collocation method in two space dimensions with application to nonlinear time-fractional diffusion equation	3
Geometric Hermite interpolation in $$\mathbb {R}^{n}$$ by refinements	3
Hermite kernel surrogates for the value function of high-dimensional nonlinear optimal control problems	3
A sparse approximation for fractional Fourier transform	3
Unconditional superconvergence analysis of a structure-preserving finite element method for the Poisson-Nernst-Planck equations	3
Cayley-transform-based gradient and conjugate gradient algorithms on Grassmann manifolds	3
A probabilistic reduced basis method for parameter-dependent problems	3
A posteriori error estimates for wave maps into spheres	3
An hp-version Legendre spectral collocation method for multi-order fractional differential equations	3
One-step optimization method for equilibrium problems	3
Coupling of direct discontinuous Galerkin method and natural boundary element method for exterior interface problems with curved elements	3
A priori error analysis for a finite element approximation of dynamic viscoelasticity problems involving a fractional order integro-differential constitutive law	3
Dictionary-based online-adaptive structure-preserving model order reduction for parametric Hamiltonian systems	3
An adaptive certified space-time reduced basis method for nonsmooth parabolic partial differential equations	3
Convergence analysis of oversampled collocation boundary element methods in 2D	3
A fast ADI orthogonal spline collocation method with graded meshes for the two-dimensional fractional integro-differential equation	3
A high-order algorithm for time-domain scattering in three dimensions	3
Sharp error estimate of Grünwald-Letnikov scheme for a multi-term time fractional diffusion equation	3
Supercloseness analysis of a stabilizer-free weak Galerkin finite element method for viscoelastic wave equations with variable coefficients	3
Hessian discretisation method for fourth-order semi-linear elliptic equations: applications to the von Kármán and Navier–Stokes models	3
Variational Bayesian inversion for the reaction coefficient in space-time nonlocal diffusion equations	3