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 2022-01-01 to 2026-01-01.)

Article	Citations
Using the FES framework to derive new physical degrees of freedom for finite element spaces of differential forms	177
A three-step defect-correction stabilized algorithm for incompressible flows with non-homogeneous Dirichlet boundary conditions	66
Dictionary-based model reduction for state estimation	38
Multilevel approximation of Gaussian random fields: Covariance compression, estimation, and spatial prediction	34
Wavelet adaptive proper orthogonal decomposition for large-scale flow data	20
Exponential decay and numerical treatment for mixture problem with Fourier law and frictional damping	19
Inverting the fundamental diagram and forecasting boundary conditions: how machine learning can improve macroscopic models for traffic flow	18
Variational methods for solving numerically magnetostatic systems	15
Tensor rank bounds for point singularities in ℝ3	15
Stable interpolation with exponential-polynomial splines and node selection via greedy algorithms	15
Ellipsoidal conformal and area-/volume-preserving parameterizations and associated optimal mass transportations	15
Averaging property of wedge product and naturality in discrete exterior calculus	14
Data-driven uncertainty quantification in macroscopic traffic flow models	14
WKB-based third order method for the highly oscillatory 1D stationary Schrödinger equation	13
Multilevel Monte Carlo simulation for the Heston stochastic volatility model	13
Numerical analysis for optimal quadratic spline collocation method in two space dimensions with application to nonlinear time-fractional diffusion equation	12
Uniqueness of phase retrieval from three measurements	12
Sharp error estimate of Grünwald-Letnikov scheme for a multi-term time fractional diffusion equation	12
Mean-square convergence rates of implicit Milstein type methods for SDEs with non-Lipschitz coefficients	11
Coupling of direct discontinuous Galerkin method and natural boundary element method for exterior interface problems with curved elements	11
A new linearized fourth-order conservative compact difference scheme for the SRLW equations	11
Implicit finite volume method with a posteriori limiting for transport networks	11
Weak approximation of SDEs for tempered distributions and applications	10
Stray field computation by inverted finite elements: a new method in micromagnetic simulations	10
Adaptive quarklet tree approximation	10

Interior penalty discontinuous Galerkin methods for the velocity-pressure formulation of the Stokes spectral problem	9
Randomized GCUR decompositions	9
A method of fundamental solutions for large-scale 3D elastance and mobility problems	9
Two-level discretization of the 3D stationary Navier–Stokes equations with damping based on a difference finite element method	9
Toward a certified greedy Loewner framework with minimal sampling	9
Adaptive and local regularization for data fitting by tensor-product spline surfaces	8
A fast direct solver for integral equations on locally refined boundary discretizations and its application to multiphase flow simulations	8
A self-consistent-field iteration for MAXBET with an application to multi-view feature extraction	8
Max filtering with reflection groups	8
Unconditionally optimal error estimates of a linearized weak Galerkin finite element method for semilinear parabolic equations	8
Approximation in the extended functional tensor train format	8
Accurate computations with matrices related to bases {tieλt}	8
An unfitted finite element method with direct extension stabilization for time-harmonic Maxwell problems on smooth domains	8
SVD-based algorithms for tensor wheel decomposition	7
A fast time domain solver for the equilibrium Dyson equation	7
On a non-uniform $$\alpha $$-robust IMEX-L1 mixed FEM for time-fractional PIDEs	7
Energy-stable and efficient finite element schemes for the Shliomis model of ferrofluid flows	7
Splitting scheme for backward doubly stochastic differential equations	7
An extrapolated Crank-Nicolson virtual element scheme for the nematic liquid crystal flows	7
A posteriori error analysis and adaptivity for a VEM discretization of the Navier–Stokes equations	7
A nonsingular-kernel Dirichlet-to-Dirichlet mapping method for the exterior Stokes problem	7
Robust space-time finite element methods for parabolic distributed optimal control problems with energy regularization	7
Randomized continuous frames in time-frequency analysis	7
Simultaneous identification of initial value and source strength in a transmission problem for a parabolic equation	7
A SUPG-stabilized virtual element method for the Navier–Stokes equation: approximations of branches of non-singular solutions	7
An efficient computation of the inverse of the single layer matrix for the resolution of the linear elasticity problem in BEM	6
A hybrid boundary integral-PDE approach for the approximation of the demagnetization potential in micromagnetics	6
Energy stable and maximum bound principle preserving schemes for the Allen-Cahn equation based on the Saul’yev methods	6
Error estimates for mixed and hybrid FEM for elliptic optimal control problems with penalizations	6
An adaptive finite element DtN method for the acoustic-elastic interaction problem	6
On Krylov subspace methods for skew-symmetric and shifted skew-symmetric linear systems	6
Uniform error bounds of a nested Picard iterative integrator for the Klein-Gordon-Zakharov system in the subsonic limit regime	6
A highly accurate procedure for computing globally optimal Wannier functions in one-dimensional crystalline insulators	6
Optimal error estimate of an accurate second-order scheme for Volterra integrodifferential equations with tempered multi-term kernels	6
Generalised Wendland functions for the sphere	5
Fast gradient methods for uniformly convex and weakly smooth problems	5
One-step optimization method for equilibrium problems	5
Structured interpolation for multivariate transfer functions of quadratic-bilinear systems	5
A posteriori virtual element method for the acoustic vibration problem	5
On the latent dimension of deep autoencoders for reduced order modeling of PDEs parametrized by random fields	5
A rotational pressure-correction discontinuous Galerkin scheme for the Cahn-Hilliard-Darcy-Stokes system	5
An O(N) algorithm for computing expectation of N-dimensional truncated multi-variate normal distribution II: computing moments and sparse grid acceleration	5
On convergence of the generalized Lanczos trust-region method for trust-region subproblems	5
Convergence analysis of the Dirichlet-Neumann Waveform Relaxation algorithm for time fractional sub-diffusion and diffusion-wave equations in heterogeneous media	5
$$\mathcal {H}_2$$ optimal rational approximation on general domains	5
Estimates for coefficients in Jacobi series for functions with limited regularity by fractional calculus	5
Frame-normalizable sequences	5
Dictionary-based online-adaptive structure-preserving model order reduction for parametric Hamiltonian systems	5
Efficient and certified solution of parametrized one-way coupled problems through DEIM-based data projection across non-conforming interfaces	5
Fast and accurate solvers for simulating Janus particle suspensions in Stokes flow	5

Helmholtz FEM solutions are locally quasi-optimal modulo low frequencies	5
A scaling fractional asymptotical regularization method for linear inverse problems	4
Correction: A posteriori virtual element method for the acoustic vibration problem	4
Tight frames over the quaternions and equiangular lines	4
High-order corrected trapezoidal rules for a class of singular integrals	4
A semi-randomized Kaczmarz method with simple random sampling for large-scale linear systems	4
A block-randomized stochastic method with importance sampling for CP tensor decomposition	4
Obstructions for Gabor frames of the second-order B-spline	4
Computation of Laplacian eigenvalues of two-dimensional shapes with dihedral symmetry	4
Development and analysis of two new finite element schemes for a time-domain carpet cloak model	4
A Lagrangian approach for solving an axisymmetric thermo-electromagnetic problem. Application to time-varying geometry processes	4
Families of annihilating skew-selfadjoint operators and their connection to Hilbert complexes	4
A second-order scheme based on blended BDF for the incompressible MHD system	4
Numerical analysis of a chemotaxis model for tumor invasion	4
Asymptotic convergence analysis and influence of initial guesses on composite Anderson acceleration	4
A reduced-order model for advection-dominated problems based on the Radon Cumulative Distribution Transform	4
Error analysis of a hybrid numerical method for optimal control problem governed by parabolic PDEs in random cylindrical domains	4
Order two superconvergence of the CDG finite elements for non-self adjoint and indefinite elliptic equations	4
Low-rank exponential integrators for stiff differential Riccati equations	4
Unconditional superconvergence analysis of a structure-preserving finite element method for the Poisson-Nernst-Planck equations	4
Approximation of curve-based sleeve functions in high dimensions	4
A conforming virtual element method for Emden-Fowler model over polygonal meshes	4
Approximation of functions from Korobov spaces by deep convolutional neural networks	4
Unconditionally superconvergent error estimates of a linearized Galerkin finite element method for the nonlinear thermistor problem	4
Efficient algorithms for Tucker decomposition via approximate matrix multiplication	4
An adaptive finite volume method for the diffraction grating problem with the truncated DtN boundary condition	4
Estimation of quadrature errors for layer potentials evaluated near surfaces with spherical topology	4
Stability and convergence of some parallel iterative subgrid stabilized algorithms for the steady Navier-Stokes equations	4