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 2021-05-01 to 2025-05-01.)

Article	Citations
Data-driven uncertainty quantification in macroscopic traffic flow models	82
Using the FES framework to derive new physical degrees of freedom for finite element spaces of differential forms	47
Ellipsoidal conformal and area-/volume-preserving parameterizations and associated optimal mass transportations	26
A three-step defect-correction stabilized algorithm for incompressible flows with non-homogeneous Dirichlet boundary conditions	25
Dictionary-based model reduction for state estimation	23
Multilevel approximation of Gaussian random fields: Covariance compression, estimation, and spatial prediction	21
Wavelet adaptive proper orthogonal decomposition for large-scale flow data	15
Inverting the fundamental diagram and forecasting boundary conditions: how machine learning can improve macroscopic models for traffic flow	15
Tensor rank bounds for point singularities in ℝ3	14
Variational methods for solving numerically magnetostatic systems	13
An O(N) algorithm for computing expectation of N-dimensional truncated multi-variate normal distribution I: fundamentals	13
Numerical analysis for optimal quadratic spline collocation method in two space dimensions with application to nonlinear time-fractional diffusion equation	12
Stable interpolation with exponential-polynomial splines and node selection via greedy algorithms	12
Sharp error estimate of Grünwald-Letnikov scheme for a multi-term time fractional diffusion equation	11
Mean-square convergence rates of implicit Milstein type methods for SDEs with non-Lipschitz coefficients	11
Multilevel Monte Carlo simulation for the Heston stochastic volatility model	11
Averaging property of wedge product and naturality in discrete exterior calculus	11
A new linearized fourth-order conservative compact difference scheme for the SRLW equations	11
Uniqueness of phase retrieval from three measurements	10
Coupling of direct discontinuous Galerkin method and natural boundary element method for exterior interface problems with curved elements	10
Weak approximation of SDEs for tempered distributions and applications	10
Implicit finite volume method with a posteriori limiting for transport networks	10
Randomized GCUR decompositions	9
An unfitted finite element method with direct extension stabilization for time-harmonic Maxwell problems on smooth domains	9
Interior penalty discontinuous Galerkin methods for the velocity-pressure formulation of the Stokes spectral problem	9

Stray field computation by inverted finite elements: a new method in micromagnetic simulations	9
Adaptive quarklet tree approximation	9
Max filtering with reflection groups	9
A fast direct solver for integral equations on locally refined boundary discretizations and its application to multiphase flow simulations	8
Toward a certified greedy Loewner framework with minimal sampling	8
SVD-based algorithms for tensor wheel decomposition	8
Adaptive and local regularization for data fitting by tensor-product spline surfaces	8
Robust space-time finite element methods for parabolic distributed optimal control problems with energy regularization	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	7
A self-consistent-field iteration for MAXBET with an application to multi-view feature extraction	7
Splitting scheme for backward doubly stochastic differential equations	7
Accurate computations with matrices related to bases {tieλt}	7
An extrapolated Crank-Nicolson virtual element scheme for the nematic liquid crystal flows	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
Randomized continuous frames in time-frequency analysis	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
An efficient computation of the inverse of the single layer matrix for the resolution of the linear elasticity problem in BEM	6
A posteriori error analysis and adaptivity for a VEM discretization of the Navier–Stokes equations	6
Simultaneous identification of initial value and source strength in a transmission problem for a parabolic equation	6
Non-symmetric isogeometric FEM-BEM couplings	6
Energy stable and maximum bound principle preserving schemes for the Allen-Cahn equation based on the Saul’yev methods	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
A nonsingular-kernel Dirichlet-to-Dirichlet mapping method for the exterior Stokes problem	6
A fast time domain solver for the equilibrium Dyson equation	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
Optimal error estimate of an accurate second-order scheme for Volterra integrodifferential equations with tempered multi-term kernels	6
A fast and oblivious matrix compression algorithm for Volterra integral operators	6
Estimates for coefficients in Jacobi series for functions with limited regularity by fractional calculus	5
Generalised Wendland functions for the sphere	5
Structured interpolation for multivariate transfer functions of quadratic-bilinear systems	5
Helmholtz FEM solutions are locally quasi-optimal modulo low frequencies	5
On the latent dimension of deep autoencoders for reduced order modeling of PDEs parametrized by random fields	5
Efficient and certified solution of parametrized one-way coupled problems through DEIM-based data projection across non-conforming interfaces	5
$$\mathcal {H}_2$$ optimal rational approximation on general domains	5
Reconstruction of low-rank aggregation kernels in univariate population balance equations	5
A posteriori virtual element method for the acoustic vibration problem	5
Fast and accurate solvers for simulating Janus particle suspensions in 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
Unconditional superconvergence analysis of a structure-preserving finite element method for the Poisson-Nernst-Planck equations	4
Frame-normalizable sequences	4
One-step optimization method for equilibrium problems	4
A second-order scheme based on blended BDF for the incompressible MHD system	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 deterministic algorithm for constructing multiple rank-1 lattices of near-optimal size	4

On convergence of the generalized Lanczos trust-region method for trust-region subproblems	4
Continuous window functions for NFFT	4
An O(N) algorithm for computing expectation of N-dimensional truncated multi-variate normal distribution II: computing moments and sparse grid acceleration	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
Dictionary-based online-adaptive structure-preserving model order reduction for parametric Hamiltonian systems	4
A rotational pressure-correction discontinuous Galerkin scheme for the Cahn-Hilliard-Darcy-Stokes system	4
Fast gradient methods for uniformly convex and weakly smooth problems	4
High-order corrected trapezoidal rules for a class of singular integrals	4
Correction: A posteriori virtual element method for the acoustic vibration problem	4
A rational RBF interpolation with conditionally positive definite kernels	4
A block-randomized stochastic method with importance sampling for CP tensor decomposition	4
Numerical analysis of a chemotaxis model for tumor invasion	4
Order two superconvergence of the CDG finite elements for non-self adjoint and indefinite elliptic equations	3
Exponential mean-square stability properties of stochastic linear multistep methods	3
Virtual element method for the quasilinear convection-diffusion-reaction equation on polygonal meshes	3
Low-rank exponential integrators for stiff differential Riccati equations	3
Computation of Laplacian eigenvalues of two-dimensional shapes with dihedral symmetry	3
A semi-randomized Kaczmarz method with simple random sampling for large-scale linear systems	3
A scaling fractional asymptotical regularization method for linear inverse problems	3
Comparison of integral equations for the Maxwell transmission problem with general permittivities	3
The hot spots conjecture can be false: some numerical examples	3
Convergence rates for boundedly regular systems	3
Adaptive machine learning-based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery	3
Full recovery from point values: an optimal algorithm for Chebyshev approximability prior	3
Semi-active damping optimization of vibrational systems using the reduced basis method	3
Exponentially fitted methods with a local energy conservation law	3
Mixed precision path tracking for polynomial homotopy continuation	3
Optimal control for a coupled spin-polarized current and magnetization system	3
Translation partitions of unity, symmetry properties, and Gabor frames	3
A mixed virtual element method for nearly incompressible linear elasticity equations	3
A fast sparse spectral method for nonlinear integro-differential Volterra equations with general kernels	3
Development and analysis of two new finite element schemes for a time-domain carpet cloak model	3
An adaptive finite volume method for the diffraction grating problem with the truncated DtN boundary condition	3
Inverse problem for determining free parameters of a reduced turbulent transport model for tokamak plasma	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
Efficient algorithms for Tucker decomposition via approximate matrix multiplication	3
Stability and convergence of some parallel iterative subgrid stabilized algorithms for the steady Navier-Stokes equations	3
Unconditionally superconvergent error estimates of a linearized Galerkin finite element method for the nonlinear thermistor problem	3
Uniform error bound of a conservative fourth-order compact finite difference scheme for the Zakharov system in the subsonic regime	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
Asymptotic convergence analysis and influence of initial guesses on composite Anderson acceleration	3