OOIR: Observatory of International Research

Papers

(The TQCC of Advances in Computational Mathematics is 4. 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 2021-08-01 to 2025-08-01.)

Article	Citations
Data-driven uncertainty quantification in macroscopic traffic flow models	111
Using the FES framework to derive new physical degrees of freedom for finite element spaces of differential forms	52
A three-step defect-correction stabilized algorithm for incompressible flows with non-homogeneous Dirichlet boundary conditions	29
Dictionary-based model reduction for state estimation	28
Multilevel approximation of Gaussian random fields: Covariance compression, estimation, and spatial prediction	27
Wavelet adaptive proper orthogonal decomposition for large-scale flow data	25
Stable interpolation with exponential-polynomial splines and node selection via greedy algorithms	16
An O(N) algorithm for computing expectation of N-dimensional truncated multi-variate normal distribution I: fundamentals	16
Inverting the fundamental diagram and forecasting boundary conditions: how machine learning can improve macroscopic models for traffic flow	15
Variational methods for solving numerically magnetostatic systems	14
Ellipsoidal conformal and area-/volume-preserving parameterizations and associated optimal mass transportations	14
Tensor rank bounds for point singularities in ℝ3	13
Multilevel Monte Carlo simulation for the Heston stochastic volatility model	13
Averaging property of wedge product and naturality in discrete exterior calculus	13
Numerical analysis for optimal quadratic spline collocation method in two space dimensions with application to nonlinear time-fractional diffusion equation	13
Coupling of direct discontinuous Galerkin method and natural boundary element method for exterior interface problems with curved elements	12
Implicit finite volume method with a posteriori limiting for transport networks	12
Sharp error estimate of Grünwald-Letnikov scheme for a multi-term time fractional diffusion equation	12
A new linearized fourth-order conservative compact difference scheme for the SRLW equations	11
Uniqueness of phase retrieval from three measurements	11
Adaptive quarklet tree approximation	10
WKB-based third order method for the highly oscillatory 1D stationary Schrödinger equation	10
Weak approximation of SDEs for tempered distributions and applications	10
Toward a certified greedy Loewner framework with minimal sampling	10
Mean-square convergence rates of implicit Milstein type methods for SDEs with non-Lipschitz coefficients	10

Max filtering with reflection groups	9
Stray field computation by inverted finite elements: a new method in micromagnetic simulations	9
SVD-based algorithms for tensor wheel decomposition	8
Unconditionally optimal error estimates of a linearized weak Galerkin finite element method for semilinear parabolic equations	8
An a posteriori error estimate for a dual mixed method applied to Stokes system with non-null source terms	8
A fast direct solver for integral equations on locally refined boundary discretizations and its application to multiphase flow simulations	8
Interior penalty discontinuous Galerkin methods for the velocity-pressure formulation of the Stokes spectral problem	8
Accurate computations with matrices related to bases {tieλt}	8
Adaptive and local regularization for data fitting by tensor-product spline surfaces	8
Randomized GCUR decompositions	8
An unfitted finite element method with direct extension stabilization for time-harmonic Maxwell problems on smooth domains	8
Approximation in the extended functional tensor train format	7
Efficient spatial second-/fourth-order finite difference ADI methods for multi-dimensional variable-order time-fractional diffusion equations	7
Randomized continuous frames in time-frequency analysis	7
Non-symmetric isogeometric FEM-BEM couplings	7
A self-consistent-field iteration for MAXBET with an application to multi-view feature extraction	7
Simultaneous identification of initial value and source strength in a transmission problem for a parabolic equation	7
An extrapolated Crank-Nicolson virtual element scheme for the nematic liquid crystal flows	7
Robust space-time finite element methods for parabolic distributed optimal control problems with energy regularization	7
A fast time domain solver for the equilibrium Dyson equation	7
Splitting scheme for backward doubly stochastic differential equations	7
The role of mesh quality and mesh quality indicators in the virtual element method	7
A nonsingular-kernel Dirichlet-to-Dirichlet mapping method for the exterior Stokes problem	6
A posteriori error analysis and adaptivity for a VEM discretization of the Navier–Stokes equations	6
An efficient computation of the inverse of the single layer matrix for the resolution of the linear elasticity problem in BEM	6
Energy stable and maximum bound principle preserving schemes for the Allen-Cahn equation based on the Saul’yev methods	6
A hybrid boundary integral-PDE approach for the approximation of the demagnetization potential in micromagnetics	6
A fast and oblivious matrix compression algorithm for Volterra integral operators	6
An H1 convergence of the spectral method for the time-fractional non-linear diffusion equations	6
On Krylov subspace methods for skew-symmetric and shifted skew-symmetric linear systems	6
Optimal error estimate of an accurate second-order scheme for Volterra integrodifferential equations with tempered multi-term kernels	6
A SUPG-stabilized virtual element method for the Navier–Stokes equation: approximations of branches of non-singular solutions	6
Error estimates for mixed and hybrid FEM for elliptic optimal control problems with penalizations	6
On a non-uniform $$\alpha $$-robust IMEX-L1 mixed FEM for time-fractional PIDEs	6
An adaptive finite element DtN method for the acoustic-elastic interaction problem	6
Uniform error bounds of a nested Picard iterative integrator for the Klein-Gordon-Zakharov system in the subsonic limit regime	6
Energy-stable and efficient finite element schemes for the Shliomis model of ferrofluid flows	6
A posteriori virtual element method for the acoustic vibration problem	5
Efficient and certified solution of parametrized one-way coupled problems through DEIM-based data projection across non-conforming interfaces	5
On the latent dimension of deep autoencoders for reduced order modeling of PDEs parametrized by random fields	5
Estimates for coefficients in Jacobi series for functions with limited regularity by fractional calculus	5
Fast and accurate solvers for simulating Janus particle suspensions in Stokes flow	5
Structured interpolation for multivariate transfer functions of quadratic-bilinear systems	5
Helmholtz FEM solutions are locally quasi-optimal modulo low frequencies	5
Convergence analysis of the Dirichlet-Neumann Waveform Relaxation algorithm for time fractional sub-diffusion and diffusion-wave equations in heterogeneous media	5
On convergence of the generalized Lanczos trust-region method for trust-region subproblems	5
$$\mathcal {H}_2$$ optimal rational approximation on general domains	5
Generalised Wendland functions for the sphere	5
A rational RBF interpolation with conditionally positive definite kernels	4
A rotational pressure-correction discontinuous Galerkin scheme for the Cahn-Hilliard-Darcy-Stokes system	4

Frame-normalizable sequences	4
Unconditional superconvergence analysis of a structure-preserving finite element method for the Poisson-Nernst-Planck equations	4
Estimation of quadrature errors for layer potentials evaluated near surfaces with spherical topology	4
A Lagrangian approach for solving an axisymmetric thermo-electromagnetic problem. Application to time-varying geometry processes	4
Convergence rates for boundedly regular systems	4
A second-order scheme based on blended BDF for the incompressible MHD system	4
Fast gradient methods for uniformly convex and weakly smooth problems	4
Dictionary-based online-adaptive structure-preserving model order reduction for parametric Hamiltonian systems	4
Approximation of functions from Korobov spaces by deep convolutional neural networks	4
Approximation of curve-based sleeve functions in high dimensions	4
Families of annihilating skew-selfadjoint operators and their connection to Hilbert complexes	4
A reduced-order model for advection-dominated problems based on the Radon Cumulative Distribution Transform	4
High-order corrected trapezoidal rules for a class of singular integrals	4
An O(N) algorithm for computing expectation of N-dimensional truncated multi-variate normal distribution II: computing moments and sparse grid acceleration	4
One-step optimization method for equilibrium problems	4
Correction: A posteriori virtual element method for the acoustic vibration problem	4
A block-randomized stochastic method with importance sampling for CP tensor decomposition	4
Numerical analysis of a chemotaxis model for tumor invasion	4
A deterministic algorithm for constructing multiple rank-1 lattices of near-optimal size	4