OOIR: Observatory of International Research

Papers

(The TQCC of Communications in Mathematical Sciences is 2. 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 2020-11-01 to 2024-11-01.)

Article	Citations
A proof that deep artificial neural networks overcome the curse of dimensionality in the numerical approximation of Kolmogorov partial differential equations with constant diffusion and nonlinear drif	30
Entropy admissibility of the limit solution for a nonlocal model of traffic flow	22
Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities	20
Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime	18
Identification of time-varying source term in time-fractional diffusion equations	12
Deep fictitious play for stochastic differential games	12
Analytically pricing variance swaps in commodity derivative markets under stochastic convenience yields	11
Discrete maximum principle of a high order finite difference scheme for a generalized Allen–Cahn equation	11
Unidirectional flocks in hydrodynamic Euler alignment system II: singular models	10
Global well-posedness of the stochastic Camassa–Holm equation	10
A fully well-balanced scheme for shallow water equations with Coriolis force	9
Energy stability of variable-step L1-type schemes for time-fractional Cahn–Hilliard model	9
Numerical approximations and error analysis of the Cahn–Hilliard equation with dynamic boundary conditions	9
Wavenumber-explicit convergence analysis for finite element discretizations of time-harmonic wave propagation problems with perfectly matched layers	9
Large time asymptotic behavior of grain boundaries motion with dynamic lattice misorientations and with triple junctions drag	8
Exponential convergence of Sobolev gradient descent for a class of nonlinear eigenproblems	8
Global smooth solutions to the 3D non-resistive MHD equations with low regularity axisymmetric data	8
Complete monotonicity-preserving numerical methods for time fractional ODEs	8
Nonlocal approaches for multilane traffic models	7
Large-time behavior of solutions to Cauchy problem for bipolar Euler–Poisson system with time-dependent damping in critical case	7
Unconditionally optimal error estimate of a linearized variable-time-step BDF2 scheme for nonlinear parabolic equations	7
A sharp critical threshold for a traffic flow model with look-ahead dynamics	7
A second-order accurate, energy stable numerical scheme for the one-dimensional porous medium equation by an energetic variational approach	7
An ellipsoidal statistical model for a monoatomic and a polyatomic gas mixture	6
A general framework for nonlocal Neumann problems	6

Efficient numerical scheme for the anisotropic modified phase-field crystal model with a strong nonlinear vacancy potential	6
On entropic solutions to conservation laws coupled with moving bottlenecks	6
An energy stable finite difference scheme for the Ericksen–Leslie system with penalty function and its optimal rate convergence analysis	6
Degenerate Cahn–Hilliard and incompressible limit of a Keller–Segel model	6
On the continuous time limit of ensemble square root filters	6
High energy blowup and blowup time for a class of semilinear parabolic equations with singular potential on manifolds with conical singularities	6
Complexity of randomized algorithms for underdamped Langevin dynamics	6
Dual quaternion matrices in multi-agent formation control	6
Fast Sinkhorn I: An $O(N)$ algorithm for the Wasserstein-1 metric	6
Kinetic and hydrodynamic models for the relativistic Cucker–Smale ensemble and emergent behaviors	5
Wave breaking for a model equation for shallow water waves of moderate amplitude	5
Local error of a splitting scheme for a nonlinear Schrödinger-type equation with random dispersion	5
Large time behavior and diffusion limit for a system of balance laws from chemotaxis in multi-dimensions	5
Mass-energy threshold dynamics for dipolar quantum gases	5
A Fourier collocation method for Schrödinger–Poisson system with perfectly matched layer	5
The Fourier Discrepancy Function	5
An efficient data-driven solver for Fokker–Planck equations: algorithm and analysis	5
Local wellposedness of quasilinear Maxwell equations with conservative interface conditions	5
Strong solutions to a modified Michelson-Sivashinsky equation	5
Hypocoercivity of stochastic Galerkin formulations for stabilization of kinetic equations	5
Analysis of a cross-diffusion model for rival gangs interaction in a city	5
A low Mach two-speed relaxation scheme for the compressible Euler equations with gravity	4
On variational principles for polarization responses in electromechanical systems	4
The Bramson correction for integro-differential Fisher–KPP equations	4
A generalized mean-field game model for the dynamics of pedestrians with limited predictive abilities	4
Continuum limits for adaptive network dynamics	4
Universal approximation of symmetric and anti-symmetric functions	4
Long term spatial homogeneity for a chemotaxis model with local sensing and consumption	4
An MBO scheme for clustering and semi-supervised clustering of signed networks	4
Propagator norm and sharp decay estimates for Fokker–Planck equations with linear drift	4
Emergence of stochastic flocking for the discrete Cucker–Smale model with randomly switching topologies	4
Global dynamics below the ground states for NLS under partial harmonic confinement	4
A fractional Korn-type inequality for smooth domains and a regularity estimate for nonlinear nonlocal systems of equations	4
Existence, regularity and weak-strong uniqueness for three-dimensional Peterlin viscoelastic model	3
On dissipative solutions to a simplified hyperbolic Ericksen–Leslie system of liquid crystals	3
Sobolev training for physics-informed neural networks	3
Error analysis of Galerkin spectral methods for nonlinear optimal control problems with integral control constraint	3
Blowup for $C^1$ solutions of compressible Euler equations with time-dependent damping	3
Error estimate of the nonuniform $L1$ type formula for the time fractional diffusion-wave equation	3
Galerkin spectral methods for an elliptic optimal control problem with $L^2$-norm state constraint	3
On the properties of affine solutions of cold plasma equations	3
On homogenization of the Landau–Lifshitz equation with rapidly oscillating material coefficient	3
A regularity criterion for the Navier–Stokes equations via one diagonal entry of the velocity gradient	3
On the sedimentation of a droplet in Stokes flow	3
An improved small data theorem for the Vlasov–Poisson system	3
Radon measure solutions for steady hypersonic-limit Euler flows passing two-dimensional finite non-symmetric obstacles and interactions of free concentration layers	3
Stabilized exponential time differencing schemes for the convective Allen–Cahn equation	3
Improved uniform error bound on the time-splitting method for the long-time dynamics of the fractional nonlinear Schrödinger equation	3
ST-SVD factorization and s-diagonal tensors	3
On two-dimensional steady hypersonic-limit Euler flows passing ramps and radon measure solutions of compressible Euler equations	3

Decoherence rhapsody in the photosynthesis process	3
Consistency analysis of bilevel data-driven learning in inverse problems	3
Tensor PDE model of biological network formation	3
Normalized Goldstein-type local minimax method for finding multiple unstable solutions of semilinear elliptic PDEs	2
Low-Mach type approximation of the Navier–Stokes system with temperature and salinity for free surface flows	2
Stability of equilibria to the model for non-isothermal electrokinetics	2
Numerical methods for stochastic differential equations based on Gaussian mixture	2
The existence of compressible subsonic impinging jet flow in an arbitrary nozzle	2
Kinetic model for myxobacteria with directional diffusion	2
Initial mixed-boundary value problem for anisotropic fractional degenerate parabolic equations	2
Analysis of the role of convection in a system describing the tumor-induced angiogenesis	2
A second-order well-balanced Lagrange-projection numerical scheme for shallow water Exner equations in 1D and 2D	2
Convergence analysis of structure-preserving numerical methods based on Slotboom transformation for the Poisson–Nernst–Planck equations	2
A Cahn-Hilliard model coupled to viscoelasticity with large deformations	2
Local solvability for a quasilinear wave equation with the far field degeneracy: 1D case	2
Some preliminary results on a high order asymptotic preserving computationally explicit kinetic scheme	2
Selection and mutation in a shifting and fluctuating environment	2
Vanishing viscosity limit for compressible magnetohydrodynamic equations with transverse background magnetic field	2
Existence and uniqueness for a stationary hybrid quantum hydrodynamical model with general pressure functional	2
Numerical evidence of exponential mixing by alternating shear flows	2
Global solutions of 3D tropical climate model with finite energy	2
Interaction of the elementary waves for shallow water equations with discontinuous topography	2
A Wasserstein norm for signed measures, with application to non-local transport equation with source term	2
Lake equations with an evanescent or emergent island	2
Recovery of a distributed order fractional derivative in an unknown medium	2
On connection among quantum-inspired algorithms of the Ising model	2
Scattering for 3D quantum Zakharov system in $L^2$	2
The Cauchy problem for a non strictly hyperbolic $3 \times 3$ system of conservation laws arising in polymer flooding	2
Microscopic and macroscopic traffic flow models including random accidents	2
Traveling waves in a Keller–Segel model with logistic growth	2
Reaction-diffusion equations derived from kinetic models and their Turing instability	2
Global dynamics in a chemotaxis model describing tumor angiogenesis with/without mitosis in any dimension	2
Some models for the interaction of long and short waves in dispersive media. Part II: Well-posedness	2
Cucker–Smale flocking under hierarchical leadership with time-delay and a free-will leader	2
Stability of the planar rarefaction wave to three-dimensional compressible model of viscous ions motion	2
On the convergence of frozen Gaussian approximation for linear non-strictly hyperbolic systems	2
Dynkin game for callable-puttable convertible bonds: the valuation and sensitivity analysis	2