Mathematics of Computation

Article	Citations
Super-polynomial accuracy of multidimensional randomized nets using the median-of-means	72
Convergence, finiteness and periodicity of several new algorithms of ????-adic continued fractions	45
Revisiting linearized Bregman iterations under Lipschitz-like convexity condition	30
Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries	24
Reducing polynomial degree by one for inner-stage operators affects neither stability type nor accuracy order of the Runge–Kutta discontinuous Galerkin method	24
From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows	22
Functional graphs of families of quadratic polynomials	22
Approximation of Stochastic Volterra Equations with kernels of completely monotone type	22
Sampling-based methods for multi-block optimization problems over transport polytopes	21
Broken-FEEC discretizations and Hodge Laplace problems	19
Certified dimension reduction in nonlinear Bayesian inverse problems	17
Time discretizations of Wasserstein–Hamiltonian flows	16
A hybrid iterative method based on MIONet for PDEs: Theory and numerical examples	16
An extended Galerkin analysis in finite element exterior calculus	16
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling	16
Numerical analysis for electromagnetic scattering with nonlinear boundary conditions	15
Error estimates for a class of continuous Bonse-type inequalities	15
Asymptotic expansions of eigenvalues by both the Crouzeix–Raviart and enriched Crouzeix–Raviart elements	15
Towards a classification of isolated ????-invariants	14
Hensel lifting algorithms for quadratic forms	13
On bounds for Kummer’s function ratio	12
Full discretization error analysis of exponential integrators for semilinear wave equations	11
Divisibility conditions on the order of the reductions of algebraic numbers	11
Learning particle swarming models from data with Gaussian processes	11
The minimality of the Georges–Kelmans graph	11

Hybridization and postprocessing in finite element exterior calculus	10
An arbitrary-order fully discrete Stokes complex on general polyhedral meshes	10
On the computation of lattice sums without translational invariance	10
A census of cubic fourfolds over ????₂	10
Scaled lattice rules for integration on ℝ^{????} achieving higher-order convergence with error analysis in terms of orthogonal projections onto periodic spaces	10
Adaptive symplectic model order reduction of parametric particle-based Vlasov–Poisson equation	9
A log-log speedup for exponent one-fifth deterministic integer factorisation	9
Quadratic points on bielliptic modular curves	9
Component-by-component construction of randomized rank-1 lattice rules achieving almost the optimal randomized error rate	9
Error estimates for discrete generalized FEMs with locally optimal spectral approximations	9
Superconvergence of time invariants for the Gross–Pitaevskii equation	9
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The sharpness condition for constructing a finite element from a superspline	8
Multiscale scattering in nonlinear Kerr-type media	8
A posteriori error analysis for approximations of time-fractional subdiffusion problems	8
Theory of shifts, shocks, and the intimate connections to ????²-type A posteriori error analysis of numerical schemes for hyperbolic problems	8
Near-optimal approximation methods for elliptic PDEs with lognormal coefficients	8
A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients	8
The Diophantine problem in Thompson’s group ????	7
Gonality of the modular curve ????₀(????)	7
Refined Selmer equations for the thrice-punctured line in depth two	7
An algorithmic approach to Rupert’s problem	7
From the Birch and Swinnerton-Dyer conjecture to Nagao’s conjecture	7
	7
Finite element approximation for uniformly elliptic linear PDE of second order in nondivergence form	7
Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem	7
Gradient descent for convex and smooth noisy optimization	7
Bridging the gap: Symplecticity and low regularity in Runge–Kutta resonance-based schemes	7
QQMR: A structure preserving quaternion quasi-minimal residual method	7
Tropical tangents for complete intersection curves	7
On the computation of modular forms on noncongruence subgroups	7
Salem numbers with minimal trace	6
A Newton’s iteration converges quadratically to nonisolated solutions too	6
An algorithm for identifying eigenvectors exhibiting strong spatial localization	6
Multiple-scattering frequency-time hybrid solver for the wave equation in interior domains	6
The interior penalty virtual element method for the biharmonic problem	6
Breaking the 4 barrier for the bound of a generating set of the class group	6
Extensible grid sampling for quantile estimation	6
The reciprocal sums of pseudoprimes and Carmichael numbers	6
A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints	6
Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation	6
Recovery of Sobolev functions restricted to iid sampling	6
An approximation theory framework for measure-transport sampling algorithms	6
A Trefftz method with reconstruction of the normal derivative applied to elliptic equations	6
Homomesies on permutations: An analysis of maps and statistics in the FindStat database	6
Optimizing the diffusion coefficient of overdamped Langevin dynamics	6
Quinary forms and paramodular forms	5
Gaussian quadrature rules for composite highly oscillatory integrals	5
A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations	5
Explicit Tamagawa numbers for certain algebraic tori over number fields	5

Optimal balanced-norm error estimate of the LDG method for reaction-diffusion problems II: The two-dimensional case with layer-upwind flux	5
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Toric eigenvalue methods for solving sparse polynomial systems	5
Multilevel decompositions and norms for negative order Sobolev spaces	5
LSOS: Line-search second-order stochastic optimization methods for nonconvex finite sums	5
Robust error analysis of stabilized linear EMAC-ESAV finite element schemes for the incompressible Navier-Stokes equations	5
Coupling conditions for linear hyperbolic relaxation systems in two-scale problems	5
Mixed methods and lower eigenvalue bounds	5
Uniform preconditioners for high order finite element approximations of planar linear elasticity	5
Convergence acceleration of ensemble Kalman inversion in nonlinear settings	5
Minimization of hypersurfaces	5
A randomized lattice rule without component-by-component construction	5
Locally unitarily invariantizable NEPv and convergence analysis of SCF	5
A Ramanujan integral and its derivatives: computation and analysis	5
Expected decrease for derivative-free algorithms using random subspaces	5
Shadow line distributions	5
On symmetric-conjugate composition methods in the numerical integration of differential equations	5
Linear rates of asymptotic regularity for Halpern-type iterations	5
On the existence of abelian surfaces with everywhere good reduction	5
Stochastic algorithms for self-consistent calculations of electronic structures	4
Minimization of differential equations and algebraic values of ????-functions	4
Unconditionally stable consistent splitting schemes for the Navier–Stokes equations with ????⁰ finite elements	4
Faster truncated integer multiplication	4
Enumeration of left braces with additive group ????₄×????₄×????₄	4
A discontinuous Galerkin pressure correction scheme for the incompressible Navier–Stokes equations: Stability and convergence	4
A kit for linear forms in three logarithms	4
On invariable generation of alternating groups by elements of prime and prime power order	4
Virtual element methods for Biot–Kirchhoff poroelasticity	4
Construction and analysis of a HDG solution for the total-flux formulation of the convected Helmholtz equation	4
Convergence of the boundary integral method for interfacial Stokes flow	4
Stochastic alternating structure-adapted proximal gradient descent method with variance reduction for nonconvex nonsmooth optimization	4
Explicit Vologodsky integration for hyperelliptic curves	4
The Adini finite element on locally refined meshes	4
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Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier–Stokes equations	4
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Maximum-norm stability of the finite element method for the Neumann problem in nonconvex polygons with locally refined mesh	4
Computing equilibrium measures with power law kernels	4
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An explicit formula for the extended Gross-Keating datum of a quadratic form	4
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From discrete to continuous: Monochromatic 3-term arithmetic progressions	4
	3
Energy diminishing implicit-explicit Runge–Kutta methods for gradient flows	3
A node-conservative vorticity preserving finite volume method for linear acoustics on unstructured grids	3
Thermodynamically consistent and positivity-preserving discretization of the thin-film equation with thermal noise	3
Equivalence between Sobolev spaces of first-order dominating mixed smoothness and unanchored ANOVA spaces on ℝ^{????}	3
Low-regularity exponential-type integrators for the Zakharov system with rough data in all dimensions	3
A new algorithm for ????-adic continued fractions	3
Finite element de Rham and Stokes complexes in three dimensions	3
A convex dual problem for the rational minimax approximation and Lawson’s iteration	3
A unified structure-preserving parametric finite element method for anisotropic surface diffusion	3
A short basis of the Stickelberger ideal of a cyclotomic field	3
A manifold of planar triangular meshes with complete Riemannian metric	3
Iterative solution of spatial network models by subspace decomposition	3
On an extended Filon method for highly oscillatory integrals over a simplex	3
On the sign changes of ????(????)-????	3
A sharp discrepancy bound for jittered sampling	3
Dynamics of quadratic polynomials and rational points on a curve of genus 4	3
Multiscale estimates for the condition number of non-harmonic Fourier matrices	3
Preparing Hamiltonians for quantum simulation: A computational framework for Cartan decomposition via Lax dynamics	3
An algorithm to recognize regular singular Mahler systems	3
An abstract approach to Marcinkiewicz-Zygmund inequalities for approximation and quadrature in modulation spaces	3
Few hamiltonian cycles in graphs with one or two vertex degrees	3
The stabilization-free HDG method for fluid-structure interaction in a unified mixed formulation on Alfeld splits	3
On median filters for motion by mean curvature	3
Convergence analysis of Laguerre approximations for analytic functions	3
Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix–fracture interfaces	3
Computing ????-adic L-functions of totally real fields	3
Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity	3
Numerical solution of Poisson partial differential equation in high dimension using two-layer neural networks	3
Time domain boundary integral equations and convolution quadrature for scattering by composite media	3
Improved computation of fundamental domains for arithmetic Fuchsian groups	3
Adaptive Morley FEM for 2D stationary Navier-Stokes	3
Norm one Tori and Hasse norm principle	3
Stochastic nested primal-dual method for nonconvex constrained composition optimization	3
A local discontinuous Galerkin method for the Novikov equation	3
Polynomial approximation of symmetric functions	2
Double-variable trace maximization for extreme generalized singular quartets of a matrix pair: A geometric method	2

Optimal error estimate of unconditionally positivity-preserving, mass-conserving and energy stable method for the Keller-Segel chemotaxis model	2
Splitting integrators for stochastic Lie–Poisson systems	2
Approximating viscosity solutions of the Euler system	2
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The Weierstrass–Durand–Kerner root finder is not generally convergent	2
Six-dimensional sphere packing and linear programming	2
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Minimality and uniqueness for decompositions of specific ternary forms	2
On Darmon’s program for the generalized Fermat equation, II	2
A uniformly accurate numerical method for a class of dissipative systems	2
New lower bounds for the Schur-Siegel-Smyth trace problem	2
A unified differential equation solver approach for separable convex optimization: Splitting, acceleration and nonergodic rate	2
A least-squares augmented Lagrangian virtual element method for Reissner-Mindlin plates	2
Bielliptic quotient modular curves of ????₀(????)	2
Rational group algebras of generalized strongly monomial groups: Primitive idempotents and units	2
A new div-div-conforming symmetric tensor finite element space with applications to the biharmonic equation	2
Asymptotic repetitive threshold of balanced sequences	2
Wavenumber-explicit stability and convergence analysis of ℎ???? finite element discretizations of Helmholtz problems in piecewise smooth media	2
Inexact restoration for minimization with inexact evaluation both of the objective function and the constraints	2
OEDG: Oscillation-eliminating discontinuous Galerkin method for hyperbolic conservation laws	2
Stability and convergence analysis of a fully discrete semi-implicit scheme for stochastic Allen-Cahn equations with multiplicative noise	2
A two-level preconditioned Helmholtz-Jacobi-Davidson method for the Maxwell eigenvalue problem	2
Convergence of a regularized finite element discretization of the two-dimensional Monge–Ampère equation	2
Stochastic gradient descent for linear inverse problems in Hilbert spaces	2
Delay-dependent elliptic reconstruction and optimal ????^{∞}(????²) a posteriori error estimates for fully discrete delay parabolic problems	2
Stability and convergence analysis for the implicit-explicit method to the Cahn-Hilliard equation	2
Optimal convergence rates of adaptive WOPSIP from superclose nonconforming FEM	2
Analysis of stochastic probing methods for estimating the trace of functions of sparse symmetric matrices	2
Fast and stable augmented Levin methods for highly oscillatory and singular integrals	2
A class of refined implicit-explicit Runge-Kutta methods with robust time adaptability and unconditional convergence for the Cahn-Hilliard model	2
Counterexamples to the ????(????)-adic Littlewood conjecture over small finite fields	2
Uniform accuracy of implicit-explicit Runge-Kutta (IMEX-RK) schemes for hyperbolic systems with relaxation	2
The smallest 5-chromatic tournament	2
Convergence analysis of a positivity-preserving numerical scheme for the Cahn-Hilliard-Stokes system with Flory-Huggins energy potential	2
Computing ????-polynomials of Picard curves from Cartier–Manin matrices	2
Adaptive fast multiplication of ℋ²-matrices	2
A nonsymmetric approach and a quasi-optimal and robust discretization for the Biot’s model	2
Effective homology and periods of complex projective hypersurfaces	2
Inf-sup stability implies quasi-orthogonality	2
Uniqueness and stability for the solution of a nonlinear least squares problem	2
On time uniform Wong-Zakai approximation theorems	2
Kac-Rice formulas and the number of solutions of parametrized systems of polynomial equations	2
Piecewise rational rotation-minimizing motions via data stream interpolation	2
Inexact Gauss-Newton methods with matrix approximation by sampling for nonlinear least-squares and systems	2
On Iwasawa ????-invariants for abelian number fields and random matrix heuristics	2
Density function of numerical solution of splitting AVF scheme for stochastic Langevin equation	2
Polynomial preserving recovery for the finite volume element methods under simplex meshes	1
Sparse trace tests	1
Convergence proof for the GenCol algorithm in the case of two-marginal optimal transport	1
Sparse Cholesky factorization for solving nonlinear PDEs via Gaussian processes	1
New results for witnesses of Robin’s criterion	1
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Positivity of the determinants of the partition function and the overpartition function	1
Chebyshev varieties	1
Explicit and efficient error estimation for convex minimization problems	1
Schinzel-type bounds for the Mahler measure on lemniscates	1
Schertz style class invariants for higher degree CM fields	1
Analysis of the Feshbach–Schur method for the Fourier spectral discretizations of Schrödinger operators	1
Construction of polynomial preserving cochain extensions by blending	1
Efficient computation of Wiener-Hopf factorization of Markov-modulated Brownian motion	1
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Asymptotically compatible schemes for nonlinear variational models via Gamma-convergence and applications to nonlocal problems	1
An algebraic framework for geometrically continuous splines	1
A conforming finite element method for a nonisothermal fluid-membrane interaction	1
An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces	1
Kleinian sphere packings, reflection groups, and arithmeticity	1
Modular curves with infinitely many quartic points	1
A distribution function from population genetics statistics using Stirling numbers of the first kind: Asymptotics, inversion and numerical evaluation	1
On the inf-sup stability of Crouzeix-Raviart Stokes elements in 3D	1
Complexity analysis of inexact cubic-regularized primal-dual methods for finding second-order stationary points	1
Convergence of a stabilized parametric finite element method of the Barrett–Garcke–Nürnberg type for curve shortening flow	1
A fast proximal gradient method and convergence analysis for dynamic mean field planning	1
Congruences of elliptic curves arising from nonsurjective mod ???? Galois representations	1
Toward optimal exponent pairs	1
Periodic minimum in the count of binomial coefficients not divisible by a prime	1
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Implicit-explicit relaxation Runge-Kutta methods: construction, analysis and applications to PDEs	1
Exact sequences on Worsey–Farin splits	1
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Density convergence of a fully discrete finite difference method for stochastic Cahn–Hilliard equation	1
A simple equilibration procedure leading to polynomial-degree-robust a posteriori error estimators for the curl-curl problem	1
Multiplicity of nontrivial zeros of primitive ????-functions via higher-level correlations	1
A geometric approach to cylindrical algebraic decomposition	1
Computing the spectrum and pseudospectrum of infinite-volume operators from local patches	1
Computing error bounds for asymptotic expansions of regular P-recursive sequences	1
Equiangular lines in Euclidean spaces: Dimensions 17 and 18	1
Low regularity estimates of the Lie-Trotter time-splitting Fourier spectral method for the logarithmic Schrödinger equation	1
Low regularity estimates for CutFEM approximations of an elliptic problem with mixed boundary conditions	1
Unified analysis of finite-size error for periodic Hartree-Fock and second order Møller-Plesset perturbation theory	1
Influence of sampling on the convergence rates of greedy algorithms for parameter-dependent random variables	1
Spanning the isogeny class of a power of an elliptic curve	1
Power detection over number fields	1
Large-scale Monte Carlo simulations for zeros in character tables of symmetric groups	1
Computing linear relations between polynomial roots	1