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 2022-05-01 to 2026-05-01.)

Article	Citations
Using the FES framework to derive new physical degrees of freedom for finite element spaces of differential forms	225
Multilevel approximation of Gaussian random fields: Covariance compression, estimation, and spatial prediction	80
Exponential decay and numerical treatment for mixture problem with Fourier law and frictional damping	58
Data-driven uncertainty quantification in macroscopic traffic flow models	25
Stable interpolation with exponential-polynomial splines and node selection via greedy algorithms	23
Variational methods for solving numerically magnetostatic systems	21
A low-rank neural representation of entropy solutions	18
Inverting the fundamental diagram and forecasting boundary conditions: how machine learning can improve macroscopic models for traffic flow	17
A three-step defect-correction stabilized algorithm for incompressible flows with non-homogeneous Dirichlet boundary conditions	17
Dictionary-based model reduction for state estimation	16
Ellipsoidal conformal and area-/volume-preserving parameterizations and associated optimal mass transportations	15
WKB-based third order method for the highly oscillatory 1D stationary Schrödinger equation	15
Averaging property of wedge product and naturality in discrete exterior calculus	15
Mean-square convergence rates of implicit Milstein type methods for SDEs with non-Lipschitz coefficients	14
Stable least-squares space-time boundary element methods for the wave equation	13
Sharp error estimate of Grünwald-Letnikov scheme for a multi-term time fractional diffusion equation	13
A new linearized fourth-order conservative compact difference scheme for the SRLW equations	13
Coupling of direct discontinuous Galerkin method and natural boundary element method for exterior interface problems with curved elements	12
Numerical analysis for optimal quadratic spline collocation method in two space dimensions with application to nonlinear time-fractional diffusion equation	12
Smoothed distance kernels for MMDs and applications in Wasserstein gradient flows	11
Weak approximation of SDEs for tempered distributions and applications	11
Uniqueness of phase retrieval from three measurements	11
Multilevel Monte Carlo simulation for the Heston stochastic volatility model	11
Stray field computation by inverted finite elements: a new method in micromagnetic simulations	10
Max filtering with reflection groups	10

An unfitted finite element method with direct extension stabilization for time-harmonic Maxwell problems on smooth domains	10
Adaptive quarklet tree approximation	10
Two-level discretization of the 3D stationary Navier–Stokes equations with damping based on a difference finite element method	10
A method of fundamental solutions for large-scale 3D elastance and mobility problems	10
Interior penalty discontinuous Galerkin methods for the velocity-pressure formulation of the Stokes spectral problem	10
A fast direct solver for integral equations on locally refined boundary discretizations and its application to multiphase flow simulations	9
Anderson acceleration of a Picard solver for the Oldroyd-B model of viscoelastic fluids	9
Approximation in the extended functional tensor train format	9
Accurate computations with matrices related to bases {tieλt}	9
Unconditionally optimal error estimates of a linearized weak Galerkin finite element method for semilinear parabolic equations	9
Randomized GCUR decompositions	9
Splitting scheme for backward doubly stochastic differential equations	9
SVD-based algorithms for tensor wheel decomposition	9
Adaptive and local regularization for data fitting by tensor-product spline surfaces	9
Toward a certified greedy Loewner framework with minimal sampling	9
Robust space-time finite element methods for parabolic distributed optimal control problems with energy regularization	8
An extrapolated Crank-Nicolson virtual element scheme for the nematic liquid crystal flows	8
A fast time domain solver for the equilibrium Dyson equation	8
Analyzing the function $$z\uparrow \uparrow \!a$$ for fractional a	8
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
A nonsingular-kernel Dirichlet-to-Dirichlet mapping method for the exterior Stokes problem	7
A posteriori error analysis and adaptivity for a VEM discretization of the Navier–Stokes equations	7
Simultaneous identification of initial value and source strength in a transmission problem for a parabolic equation	7
On Krylov subspace methods for skew-symmetric and shifted skew-symmetric linear systems	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
Efficient and certified solution of parametrized one-way coupled problems through DEIM-based data projection across non-conforming interfaces	6
Estimates for coefficients in Jacobi series for functions with limited regularity by fractional calculus	6
Optimal error estimate of an accurate second-order scheme for Volterra integrodifferential equations with tempered multi-term kernels	6
An efficient computation of the inverse of the single layer matrix for the resolution of the linear elasticity problem in BEM	6
A highly accurate procedure for computing globally optimal Wannier functions in one-dimensional crystalline insulators	6
An adaptive finite element DtN method for the acoustic-elastic interaction problem	6
Structured interpolation for multivariate transfer functions of quadratic-bilinear systems	6
A posteriori virtual element method for the acoustic vibration problem	6
Error estimates for mixed and hybrid FEM for elliptic optimal control problems with penalizations	6
A SUPG-stabilized virtual element method for the Navier–Stokes equation: approximations of branches of non-singular solutions	6
Uniform error bounds of a nested Picard iterative integrator for the Klein-Gordon-Zakharov system in the subsonic limit regime	6
Convergence analysis of the Dirichlet-Neumann Waveform Relaxation algorithm for time fractional sub-diffusion and diffusion-wave equations in heterogeneous media	6
Generalised Wendland functions for the sphere	6
A second-order scheme based on blended BDF for the incompressible MHD system	5
A rotational pressure-correction discontinuous Galerkin scheme for the Cahn-Hilliard-Darcy-Stokes system	5
Fast and accurate solvers for simulating Janus particle suspensions in Stokes flow	5
Constrained rational fitting for $$\mathcal {D}$$-stable model order reduction	5
Unconditional superconvergence analysis of a structure-preserving finite element method for the Poisson-Nernst-Planck equations	5
High-order corrected trapezoidal rules for a class of singular integrals	5
Approximation of functions from Korobov spaces by deep convolutional neural networks	5
Fast gradient methods for uniformly convex and weakly smooth problems	5
Helmholtz FEM solutions are locally quasi-optimal modulo low frequencies	5
$$\mathcal {H}_2$$ optimal rational approximation on general domains	5

Dictionary-based online-adaptive structure-preserving model order reduction for parametric Hamiltonian systems	5
On convergence of the generalized Lanczos trust-region method for trust-region subproblems	5
Tight frames over the quaternions and equiangular lines	5
Analysis of the geometric structure of neural networks and neural ODEs via morse functions	5
On the latent dimension of deep autoencoders for reduced order modeling of PDEs parametrized by random fields	5
An O(N) algorithm for computing expectation of N-dimensional truncated multi-variate normal distribution II: computing moments and sparse grid acceleration	5
Spatially semi-discretely uniformly exponential stability approximation for one-dimensional thermoelastic system	4
Correction: A posteriori virtual element method for the acoustic vibration problem	4
One-step optimization method for equilibrium problems	4
Frame-normalizable sequences	4
Estimation of quadrature errors for layer potentials evaluated near surfaces with spherical topology	4
Unconditionally superconvergent error estimates of a linearized Galerkin finite element method for the nonlinear thermistor problem	4
Computation of Laplacian eigenvalues of two-dimensional shapes with dihedral symmetry	4
Obstructions for Gabor frames of the second-order B-spline	4
Full recovery from point values: an optimal algorithm for Chebyshev approximability prior	4
Efficient algorithms for Tucker decomposition via approximate matrix multiplication	4
Uniform error bound of a conservative fourth-order compact finite difference scheme for the Zakharov system in the subsonic regime	4
A semi-randomized Kaczmarz method with simple random sampling for large-scale linear systems	4
GP-CMRH: an inner product free iterative method for block two-by-two nonsymmetric linear systems	4
Numerical analysis of a chemotaxis model for tumor invasion	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 conforming virtual element method for Emden-Fowler model over polygonal meshes	4
Stabilized gradient flow schemes of phase field model for shape and topology optimization in diffusion	4
Inverse problem for determining free parameters of a reduced turbulent transport model for tokamak plasma	4
Order two superconvergence of the CDG finite elements for non-self adjoint and indefinite elliptic equations	4
Error analysis of a hybrid numerical method for optimal control problem governed by parabolic PDEs in random cylindrical domains	4
Weighted positive nonlinear finite volume method for dominated anisotropic diffusive equations	4
A mixed virtual element method for nearly incompressible linear elasticity equations	4
A scaling fractional asymptotical regularization method for linear inverse problems	4
A direct parallel-in-time finite difference solver for quenching combustion problem	4
A reduced-order model for advection-dominated problems based on the Radon Cumulative Distribution Transform	4
Approximation of curve-based sleeve functions in high dimensions	4
An adaptive finite volume method for the diffraction grating problem with the truncated DtN boundary condition	4
A block-randomized stochastic method with importance sampling for CP tensor decomposition	4
Stability and convergence of some parallel iterative subgrid stabilized algorithms for the steady Navier-Stokes equations	4
H2Opus: a distributed-memory multi-GPU software package for non-local operators	4
Low-rank exponential integrators for stiff differential Riccati equations	4
Asymptotic convergence analysis and influence of initial guesses on composite Anderson acceleration	4
Adaptive machine learning-based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery	4
A generalized quasi-reversibility regularization method to determine a spatial source component in a time-fractional diffusion-wave equation	4