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 2020-05-01 to 2024-05-01.)

Article	Citations
Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation	40
The pointwise error estimates of two energy-preserving fourth-order compact schemes for viscous Burgers’ equation	24
Optimal H1 spatial convergence of a fully discrete finite element method for the time-fractional Allen-Cahn equation	23
A fast ADI orthogonal spline collocation method with graded meshes for the two-dimensional fractional integro-differential equation	21
The role of mesh quality and mesh quality indicators in the virtual element method	19
Error analysis for physics-informed neural networks (PINNs) approximating Kolmogorov PDEs	18
Efficient approximation of solutions of parametric linear transport equations by ReLU DNNs	17
Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation	17
Persistence Curves: A canonical framework for summarizing persistence diagrams	16
Virtual element methods for the three-field formulation of time-dependent linear poroelasticity	16
Stability and error estimates for the variable step-size BDF2 method for linear and semilinear parabolic equations	15
p- and hp- virtual elements for the Stokes problem	14
Multigrid preconditioners for anisotropic space-fractional diffusion equations	14
Finite basis physics-informed neural networks (FBPINNs): a scalable domain decomposition approach for solving differential equations	13
Structure-preserving interpolation of bilinear control systems	13
A unified analysis of a class of quadratic finite volume element schemes on triangular meshes	13
Efficient computation of bifurcation diagrams with a deflated approach to reduced basis spectral element method	12
A family of C1 quadrilateral finite elements	12
High-order cut finite elements for the elastic wave equation	12
Analysis of adaptive synchrosqueezing transform with a time-varying parameter	11
Zeta correction: a new approach to constructing corrected trapezoidal quadrature rules for singular integral operators	11
A stable second-order BDF scheme for the three-dimensional Cahn–Hilliard–Hele–Shaw system	10
A wavelet-in-time, finite element-in-space adaptive method for parabolic evolution equations	10
Error analysis of the SAV Fourier-spectral method for the Cahn-Hilliard-Hele-Shaw system	10
Optimal error estimate of an accurate second-order scheme for Volterra integrodifferential equations with tempered multi-term kernels	9

A mixed virtual element method for the vibration problem of clamped Kirchhoff plate	9
Generalized Born-Jordan distributions and applications	9
A rational RBF interpolation with conditionally positive definite kernels	9
Error analysis of fully discrete mixed finite element data assimilation schemes for the Navier-Stokes equations	9
Numerical reconstruction of the spatial component in the source term of a time-fractional diffusion equation	9
Mixed precision path tracking for polynomial homotopy continuation	8
Learning via variably scaled kernels	8
Joint spectral radius and ternary hermite subdivision	8
Optimal error estimates for Legendre expansions of singular functions with fractional derivatives of bounded variation	8
A characteristic finite element method for the time-fractional mobile/immobile advection diffusion model	8
An integral equation–based numerical method for the forced heat equation on complex domains	8
Space-time error estimates for deep neural network approximations for differential equations	8
New convergence analysis of a primal-dual algorithm with large stepsizes	7
Tensor completion via bilevel minimization with fixed-point constraint to estimate missing elements in noisy data	7
Solving partial differential equations on (evolving) surfaces with radial basis functions	7
Data-driven uncertainty quantification in macroscopic traffic flow models	7
Accelerated hybrid methods for solving pseudomonotone equilibrium problems	7
Randomized linear algebra for model reduction—part II: minimal residual methods and dictionary-based approximation	7
An adaptive spectral graph wavelet method for PDEs on networks	7
Virtual element methods for nonlocal parabolic problems on general type of meshes	6
Residual-type a posteriori error analysis of HDG methods for Neumann boundary control problems	6
A chemorepulsion model with superlinear production: analysis of the continuous problem and two approximately positive and energy-stable schemes	6
A data-driven surrogate modeling approach for time-dependent incompressible Navier-Stokes equations with dynamic mode decomposition and manifold interpolation	6
Least-Squares Padé approximation of parametric and stochastic Helmholtz maps	6
Adaptive hybridizable discontinuous Galerkin methods for nonstationary convection diffusion problems	6
Kernel aggregated fast multipole method	6
A characterization of supersmoothness of multivariate splines	6
A hybrid collocation-perturbation approach for PDEs with random domains	6
Exponential mean-square stability properties of stochastic linear multistep methods	5
The numerical solution of fractional integral equations via orthogonal polynomials in fractional powers	5
A quadratic finite volume method for nonlinear elliptic problems	5
Non-conforming Crouzeix-Raviart element approximation for Stekloff eigenvalues in inverse scattering	5
Continuous window functions for NFFT	5
A stabilizer-free pressure-robust finite element method for the Stokes equations	5
An H1 convergence of the spectral method for the time-fractional non-linear diffusion equations	5
Balanced truncation of linear time-invariant systems over finite-frequency ranges	5
Accurate computations with matrices related to bases {tieλt}	5
Approximation of functions from Korobov spaces by deep convolutional neural networks	5
Fast and accurate solvers for simulating Janus particle suspensions in Stokes flow	5
A fast and oblivious matrix compression algorithm for Volterra integral operators	5
Efficient spatial second-/fourth-order finite difference ADI methods for multi-dimensional variable-order time-fractional diffusion equations	5
Fast randomized matrix and tensor interpolative decomposition using CountSketch	5
Stabilization of spline bases by extension	5
Numerical algorithms for water waves with background flow over obstacles and topography	5
A structure-preserving algorithm for surface water flows with transport processes	5
High-order conservative energy quadratization schemes for the Klein-Gordon-Schrödinger equation	4
A new local projection stabilization virtual element method for the Oseen problem on polygonal meshes	4
Edge detection with trigonometric polynomial shearlets	4
Clothoid fitting and geometric Hermite subdivision	4
Difference potentials method for models with dynamic boundary conditions and bulk-surface problems	4

Numerical investigation into the dependence of the Allen–Cahn equation on the free energy	4
Polycircular domains, numerical conformal mappings, and moduli of quadrilaterals	4
A deterministic algorithm for constructing multiple rank-1 lattices of near-optimal size	4
Mean-square convergence rates of implicit Milstein type methods for SDEs with non-Lipschitz coefficients	4
Cayley-transform-based gradient and conjugate gradient algorithms on Grassmann manifolds	4
An accelerated, high-order accurate direct solver for the Lippmann–Schwinger equation for acoustic scattering in the plane	4
An hp-version of the C0-continuous Petrov-Galerkin time stepping method for nonlinear second-order initial value problems	4
A recovery-based linear C0 finite element method for a fourth-order singularly perturbed Monge-Ampère equation	4
Computing the reciprocal of a ϕ-function by rational approximation	4
Optimal superconvergence analysis for the Crouzeix-Raviart and the Morley elements	4
Unified construction and L2 analysis for the finite volume element method over tensorial meshes	4
Comparison of integral equations for the Maxwell transmission problem with general permittivities	4
Accurate singular values of a class of parameterized negative matrices	4
An hp-version Legendre spectral collocation method for multi-order fractional differential equations	4
Numerical investigation of two second-order, stabilized SAV ensemble methods for the Navier–Stokes equations	4
A generalisation of de la Vallée-Poussin procedure to multivariate approximations	4
Determination of temperature distribution and thermal flux for two-dimensional inhomogeneous sideways heat equations	4
Counting the dimension of splines of mixed smoothness	4
Unconditionally optimal convergence analysis of second-order BDF Galerkin finite element scheme for a hybrid MHD system	4
Second-order energy stable schemes for the new model of the Cahn-Hilliard-MHD equations	4
The hot spots conjecture can be false: some numerical examples	4
Cs-smooth isogeometric spline spaces over planar bilinear multi-patch parameterizations	4
A fast sparse spectral method for nonlinear integro-differential Volterra equations with general kernels	4
Symplectic geometry and connectivity of spaces of frames	4
State-dependent Riccati equation feedback stabilization for nonlinear PDEs	4
A boundary-partition-based Voronoi diagram of d-dimensional balls: definition, properties, and applications	4
Tensor rank bounds for point singularities in ℝ3	4
Wavelet adaptive proper orthogonal decomposition for large-scale flow data	4