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 2021-06-01 to 2025-06-01.)

Article	Citations
Data-driven uncertainty quantification in macroscopic traffic flow models	94
Using the FES framework to derive new physical degrees of freedom for finite element spaces of differential forms	47
A three-step defect-correction stabilized algorithm for incompressible flows with non-homogeneous Dirichlet boundary conditions	27
Dictionary-based model reduction for state estimation	26
Multilevel approximation of Gaussian random fields: Covariance compression, estimation, and spatial prediction	24
Inverting the fundamental diagram and forecasting boundary conditions: how machine learning can improve macroscopic models for traffic flow	24
Wavelet adaptive proper orthogonal decomposition for large-scale flow data	15
An O(N) algorithm for computing expectation of N-dimensional truncated multi-variate normal distribution I: fundamentals	14
Stable interpolation with exponential-polynomial splines and node selection via greedy algorithms	14
Variational methods for solving numerically magnetostatic systems	13
Ellipsoidal conformal and area-/volume-preserving parameterizations and associated optimal mass transportations	13
Tensor rank bounds for point singularities in ℝ3	12
Numerical analysis for optimal quadratic spline collocation method in two space dimensions with application to nonlinear time-fractional diffusion equation	12
Averaging property of wedge product and naturality in discrete exterior calculus	11
Multilevel Monte Carlo simulation for the Heston stochastic volatility model	11
Mean-square convergence rates of implicit Milstein type methods for SDEs with non-Lipschitz coefficients	11
Uniqueness of phase retrieval from three measurements	10
Sharp error estimate of Grünwald-Letnikov scheme for a multi-term time fractional diffusion equation	10
Coupling of direct discontinuous Galerkin method and natural boundary element method for exterior interface problems with curved elements	10
WKB-based third order method for the highly oscillatory 1D stationary Schrödinger equation	10
Implicit finite volume method with a posteriori limiting for transport networks	10
A new linearized fourth-order conservative compact difference scheme for the SRLW equations	9
Toward a certified greedy Loewner framework with minimal sampling	9
Weak approximation of SDEs for tempered distributions and applications	9
Randomized GCUR decompositions	9

Adaptive quarklet tree approximation	9
Stray field computation by inverted finite elements: a new method in micromagnetic simulations	8
Unconditionally optimal error estimates of a linearized weak Galerkin finite element method for semilinear parabolic equations	8
Interior penalty discontinuous Galerkin methods for the velocity-pressure formulation of the Stokes spectral problem	8
An unfitted finite element method with direct extension stabilization for time-harmonic Maxwell problems on smooth domains	8
Max filtering with reflection groups	8
Adaptive and local regularization for data fitting by tensor-product spline surfaces	7
SVD-based algorithms for tensor wheel decomposition	7
A self-consistent-field iteration for MAXBET with an application to multi-view feature extraction	7
Non-symmetric isogeometric FEM-BEM couplings	7
A fast direct solver for integral equations on locally refined boundary discretizations and its application to multiphase flow simulations	7
Accurate computations with matrices related to bases {tieλt}	7
An a posteriori error estimate for a dual mixed method applied to Stokes system with non-null source terms	7
Randomized continuous frames in time-frequency analysis	7
Robust space-time finite element methods for parabolic distributed optimal control problems with energy regularization	7
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
Splitting scheme for backward doubly stochastic differential equations	7
An extrapolated Crank-Nicolson virtual element scheme for the nematic liquid crystal flows	6
On a non-uniform $$\alpha $$-robust IMEX-L1 mixed FEM for time-fractional PIDEs	6
Error estimates for mixed and hybrid FEM for elliptic optimal control problems with penalizations	6
On Krylov subspace methods for skew-symmetric and shifted skew-symmetric linear systems	6
A nonsingular-kernel Dirichlet-to-Dirichlet mapping method for the exterior Stokes problem	6
The role of mesh quality and mesh quality indicators in the virtual element method	6
An H1 convergence of the spectral method for the time-fractional non-linear diffusion equations	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
Simultaneous identification of initial value and source strength in a transmission problem for a parabolic equation	6
A fast time domain solver for the equilibrium Dyson equation	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
A fast and oblivious matrix compression algorithm for Volterra integral operators	6
$$\mathcal {H}_2$$ optimal rational approximation on general domains	5
Structured interpolation for multivariate transfer functions of quadratic-bilinear systems	5
Optimal error estimate of an accurate second-order scheme for Volterra integrodifferential equations with tempered multi-term kernels	5
Fast and accurate solvers for simulating Janus particle suspensions in Stokes flow	5
On the latent dimension of deep autoencoders for reduced order modeling of PDEs parametrized by random fields	5
A posteriori virtual element method for the acoustic vibration problem	5
Convergence analysis of the Dirichlet-Neumann Waveform Relaxation algorithm for time fractional sub-diffusion and diffusion-wave equations in heterogeneous media	5
Helmholtz FEM solutions are locally quasi-optimal modulo low frequencies	5
An adaptive finite element DtN method for the acoustic-elastic interaction problem	5
Efficient and certified solution of parametrized one-way coupled problems through DEIM-based data projection across non-conforming interfaces	5
Fast gradient methods for uniformly convex and weakly smooth problems	4
On convergence of the generalized Lanczos trust-region method for trust-region subproblems	4
A rotational pressure-correction discontinuous Galerkin scheme for the Cahn-Hilliard-Darcy-Stokes system	4
Approximation of functions from Korobov spaces by deep convolutional neural networks	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
An O(N) algorithm for computing expectation of N-dimensional truncated multi-variate normal distribution II: computing moments and sparse grid acceleration	4

Frame-normalizable sequences	4
Estimates for coefficients in Jacobi series for functions with limited regularity by fractional calculus	4
High-order corrected trapezoidal rules for a class of singular integrals	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
A scaling fractional asymptotical regularization method for linear inverse problems	4
One-step optimization method for equilibrium problems	4
Generalised Wendland functions for the sphere	4
A rational RBF interpolation with conditionally positive definite kernels	4
Dictionary-based online-adaptive structure-preserving model order reduction for parametric Hamiltonian systems	4
Continuous window functions for NFFT	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 second-order scheme based on blended BDF for the incompressible MHD system	4
Convergence rates for boundedly regular systems	3
An adaptive finite volume method for the diffraction grating problem with the truncated DtN boundary condition	3
Development and analysis of two new finite element schemes for a time-domain carpet cloak model	3
A mixed virtual element method for nearly incompressible linear elasticity equations	3
Error analysis of a hybrid numerical method for optimal control problem governed by parabolic PDEs in random cylindrical domains	3
Optimal control for a coupled spin-polarized current and magnetization system	3
Full recovery from point values: an optimal algorithm for Chebyshev approximability prior	3
A Grassmann manifold handbook: basic geometry and computational aspects	3
Virtual element method for the quasilinear convection-diffusion-reaction equation on polygonal meshes	3
Order two superconvergence of the CDG finite elements for non-self adjoint and indefinite elliptic equations	3
Asymptotic convergence analysis and influence of initial guesses on composite Anderson acceleration	3
Stability and convergence of some parallel iterative subgrid stabilized algorithms for the steady Navier-Stokes equations	3
Translation partitions of unity, symmetry properties, and Gabor frames	3
Comparison of integral equations for the Maxwell transmission problem with general permittivities	3
A deterministic algorithm for constructing multiple rank-1 lattices of near-optimal size	3
Unconditionally superconvergent error estimates of a linearized Galerkin finite element method for the nonlinear thermistor problem	3
A semi-randomized Kaczmarz method with simple random sampling for large-scale linear systems	3
A new approach to proper orthogonal decomposition with difference quotients	3
Exponentially fitted methods with a local energy conservation law	3
Semi-active damping optimization of vibrational systems using the reduced basis method	3
Efficient algorithms for Tucker decomposition via approximate matrix multiplication	3
Inverse problem for determining free parameters of a reduced turbulent transport model for tokamak plasma	3
Exponential mean-square stability properties of stochastic linear multistep methods	3
Uniform error bound of a conservative fourth-order compact finite difference scheme for the Zakharov system in the subsonic regime	3
The hot spots conjecture can be false: some numerical examples	3
A chemorepulsion model with superlinear production: analysis of the continuous problem and two approximately positive and energy-stable schemes	3
A reduced-order model for advection-dominated problems based on the Radon Cumulative Distribution Transform	3
Computation of Laplacian eigenvalues of two-dimensional shapes with dihedral symmetry	3
An alternative approach for order conditions of Runge-Kutta-Nyström methods	3
Random sampling of signals concentrated on compact set in localized reproducing kernel subspace of $$L^p(\mathbb R^n)$$	3
H2Opus: a distributed-memory multi-GPU software package for non-local operators	3
Weighted positive nonlinear finite volume method for dominated anisotropic diffusive equations	3
Adaptive machine learning-based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery	3
Mixed precision path tracking for polynomial homotopy continuation	3
Low-rank exponential integrators for stiff differential Riccati equations	3