Mathematics of Computation

Article	Citations
Convergence, finiteness and periodicity of several new algorithms of ????-adic continued fractions	53
Revisiting linearized Bregman iterations under Lipschitz-like convexity condition	37
Functional graphs of families of quadratic polynomials	30
Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries	27
Sampling-based methods for multi-block optimization problems over transport polytopes	26
From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows	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
Approximation of Stochastic Volterra Equations with kernels of completely monotone type	20
Super-polynomial accuracy of multidimensional randomized nets using the median-of-means	19
Broken-FEEC discretizations and Hodge Laplace problems	17
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling	17
A hybrid iterative method based on MIONet for PDEs: Theory and numerical examples	15
Certified dimension reduction in nonlinear Bayesian inverse problems	13
Hensel lifting algorithms for quadratic forms	12
Time discretizations of Wasserstein–Hamiltonian flows	12
Towards a classification of isolated ????-invariants	12
Error estimates for a class of continuous Bonse-type inequalities	12
Numerical analysis for electromagnetic scattering with nonlinear boundary conditions	11
Divisibility conditions on the order of the reductions of algebraic numbers	11
A census of cubic fourfolds over ????₂	11
Learning particle swarming models from data with Gaussian processes	11
An arbitrary-order fully discrete Stokes complex on general polyhedral meshes	11
Full discretization error analysis of exponential integrators for semilinear wave equations	11
Quadratic points on bielliptic modular curves	11
Scaled lattice rules for integration on ℝ^{????} achieving higher-order convergence with error analysis in terms of orthogonal projections onto periodic spaces	10

Hybridization and postprocessing in finite element exterior calculus	10
On the computation of lattice sums without translational invariance	10
Component-by-component construction of randomized rank-1 lattice rules achieving almost the optimal randomized error rate	9
Gonality of the modular curve ????₀(????)	9
Theory of shifts, shocks, and the intimate connections to ????²-type A posteriori error analysis of numerical schemes for hyperbolic problems	9
From the Birch and Swinnerton-Dyer conjecture to Nagao’s conjecture	9
Multiscale scattering in nonlinear Kerr-type media	9
Adaptive symplectic model order reduction of parametric particle-based Vlasov–Poisson equation	9
Error estimates for discrete generalized FEMs with locally optimal spectral approximations	9
QQMR: A structure preserving quaternion quasi-minimal residual method	9
Gradient descent for convex and smooth noisy optimization	9
Bridging the gap: Symplecticity and low regularity in Runge–Kutta resonance-based schemes	9
The Diophantine problem in Thompson’s group ????	9
A variational approach to the analysis of the continuous space–time FEM for the wave equation	9
The sharpness condition for constructing a finite element from a superspline	9
On the computation of modular forms on noncongruence subgroups	8
An algorithmic approach to Rupert’s problem	8
A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients	8
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Refined Selmer equations for the thrice-punctured line in depth two	8
A posteriori error analysis for approximations of time-fractional subdiffusion problems	8
Tropical tangents for complete intersection curves	8
Near-optimal approximation methods for elliptic PDEs with lognormal coefficients	8
Finite element approximation for uniformly elliptic linear PDE of second order in nondivergence form	7
A Newton’s iteration converges quadratically to nonisolated solutions too	7
Extensible grid sampling for quantile estimation	7
The reciprocal sums of pseudoprimes and Carmichael numbers	7
Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation	7
Salem numbers with minimal trace	7
Large-degree asymptotic expansions for the Jacobi and related functions	7
An approximation theory framework for measure-transport sampling algorithms	7
Shadow line distributions	7
A Trefftz method with reconstruction of the normal derivative applied to elliptic equations	7
Breaking the 4 barrier for the bound of a generating set of the class group	7
Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem	7
Homomesies on permutations: An analysis of maps and statistics in the FindStat database	7
A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints	7
Multiple-scattering frequency-time hybrid solver for the wave equation in interior domains	6
An algorithm for identifying eigenvectors exhibiting strong spatial localization	6
A Ramanujan integral and its derivatives: computation and analysis	6
Gaussian quadrature rules for composite highly oscillatory integrals	6
Uniform preconditioners for high order finite element approximations of planar linear elasticity	6
Robust error analysis of stabilized linear EMAC-ESAV finite element schemes for the incompressible Navier-Stokes equations	6
Optimizing the diffusion coefficient of overdamped Langevin dynamics	6
The interior penalty virtual element method for the biharmonic problem	6
Optimal balanced-norm error estimate of the LDG method for reaction-diffusion problems II: The two-dimensional case with layer-upwind flux	6
A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations	6
Toric eigenvalue methods for solving sparse polynomial systems	6
Expected decrease for derivative-free algorithms using random subspaces	6
Explicit Tamagawa numbers for certain algebraic tori over number fields	6

Recovery of Sobolev functions restricted to iid sampling	6
Mixed methods and lower eigenvalue bounds	6
Locally unitarily invariantizable NEPv and convergence analysis of SCF	6
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Coupling conditions for linear hyperbolic relaxation systems in two-scale problems	6
Cyclic sieving on permutations: An analysis of maps and statistics in the FindStat database	6
Faster truncated integer multiplication	5
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The Adini finite element on locally refined meshes	5
Maximum-norm stability of the finite element method for the Neumann problem in nonconvex polygons with locally refined mesh	5
Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier–Stokes equations	5
Linear rates of asymptotic regularity for Halpern-type iterations	5
An explicit formula for the extended Gross-Keating datum of a quadratic form	5
Enumeration of left braces with additive group ????₄×????₄×????₄	5
Convergence of the boundary integral method for interfacial Stokes flow	5
Computing equilibrium measures with power law kernels	5
Explicit Vologodsky integration for hyperelliptic curves	5
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Floquet–Bloch analysis of wave propagation with time-periodic coefficients	5
Quinary forms and paramodular forms	5
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LSOS: Line-search second-order stochastic optimization methods for nonconvex finite sums	5
Unconditionally stable consistent splitting schemes for the Navier–Stokes equations with ????⁰ finite elements	5
Stochastic alternating structure-adapted proximal gradient descent method with variance reduction for nonconvex nonsmooth optimization	5
Minimization of hypersurfaces	5
A discontinuous Galerkin pressure correction scheme for the incompressible Navier–Stokes equations: Stability and convergence	5
A randomized lattice rule without component-by-component construction	5
A Robin-Robin splitting method for the Stokes-Biot fluid-poroelastic structure interaction model	4
A unified structure-preserving parametric finite element method for anisotropic surface diffusion	4
From discrete to continuous: Monochromatic 3-term arithmetic progressions	4
Stochastic algorithms for self-consistent calculations of electronic structures	4
A kit for linear forms in three logarithms	4
Preparing Hamiltonians for quantum simulation: A computational framework for Cartan decomposition via Lax dynamics	4
Few hamiltonian cycles in graphs with one or two vertex degrees	4
Optimal convergence of a fully decoupled finite difference scheme of the Abels–Garcke–Grün model for incompressible two-phase flows with unmatched densities	4
Computations directly on the cuspidal cohomology of congruence subgroups of SL(3,ℤ)	4
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Minimization of differential equations and algebraic values of ????-functions	4
A new algorithm for ????-adic continued fractions	4
Stochastic nested primal-dual method for nonconvex constrained composition optimization	4
Improved computation of fundamental domains for arithmetic Fuchsian groups	4
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On invariable generation of alternating groups by elements of prime and prime power order	4
Construction and analysis of a HDG solution for the total-flux formulation of the convected Helmholtz equation	4
Virtual element methods for Biot–Kirchhoff poroelasticity	4
An algorithm to recognize regular singular Mahler systems	4
Finite element de Rham and Stokes complexes in three dimensions	4
A short basis of the Stickelberger ideal of a cyclotomic field	4
Dynamics of quadratic polynomials and rational points on a curve of genus 4	3
Effective homology and periods of complex projective hypersurfaces	3
Time domain boundary integral equations and convolution quadrature for scattering by composite media	3
A sharp discrepancy bound for jittered sampling	3
Norm one Tori and Hasse norm principle	3
Multiscale estimates for the condition number of non-harmonic Fourier matrices	3
On median filters for motion by mean curvature	3
Sharp estimates for the Möbius function with coprimality restrictions	3
Stability and convergence analysis of a fully discrete semi-implicit scheme for stochastic Allen-Cahn equations with multiplicative noise	3
Iterative solution of spatial network models by subspace decomposition	3
Energy diminishing implicit-explicit Runge–Kutta methods for gradient flows	3
Inf-sup stability implies quasi-orthogonality	3
Convergence analysis of Laguerre approximations for analytic functions	3
Wavenumber-explicit stability and convergence analysis of ℎ???? finite element discretizations of Helmholtz problems in piecewise smooth media	3
Numerical solution of Poisson partial differential equation in high dimension using two-layer neural networks	3
Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix–fracture interfaces	3
Closed bounded rational framing motions	3
Adaptive Morley FEM for 2D stationary Navier-Stokes	3
The stabilization-free HDG method for fluid-structure interaction in a unified mixed formulation on Alfeld splits	3
A node-conservative vorticity preserving finite volume method for linear acoustics on unstructured grids	3
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Double-variable trace maximization for extreme generalized singular quartets of a matrix pair: A geometric method	3
Splitting integrators for stochastic Lie–Poisson systems	3
The smallest 5-chromatic tournament	3
On an extended Filon method for highly oscillatory integrals over a simplex	3
OEDG: Oscillation-eliminating discontinuous Galerkin method for hyperbolic conservation laws	3
Low-regularity exponential-type integrators for the Zakharov system with rough data in all dimensions	3
The classification and representations of positive definite ternary quadratic forms of level 4????	3
An abstract approach to Marcinkiewicz-Zygmund inequalities for approximation and quadrature in modulation spaces	3
The Weierstrass–Durand–Kerner root finder is not generally convergent	3
A convex dual problem for the rational minimax approximation and Lawson’s iteration	3

Equivalence between Sobolev spaces of first-order dominating mixed smoothness and unanchored ANOVA spaces on ℝ^{????}	3
Thermodynamically consistent and positivity-preserving discretization of the thin-film equation with thermal noise	3
A local discontinuous Galerkin method for the Novikov equation	3
Rational group algebras of generalized strongly monomial groups: Primitive idempotents and units	3
Kac-Rice formulas and the number of solutions of parametrized systems of polynomial equations	3
A quasi-optimal space-time FEM with local mesh refinements for parabolic problems	3
Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity	3
A manifold of planar triangular meshes with complete Riemannian metric	3
On the sign changes of ????(????)-????	3
Six-dimensional sphere packing and linear programming	3
Optimal error estimate of unconditionally positivity-preserving, mass-conserving and energy stable method for the Keller-Segel chemotaxis model	2
Fully discretized Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem	2
A random integration algorithm for high-dimensional function spaces	2
Counterexamples to the ????(????)-adic Littlewood conjecture over small finite fields	2
A unified differential equation solver approach for separable convex optimization: Splitting, acceleration and nonergodic rate	2
Fast and stable augmented Levin methods for highly oscillatory and singular integrals	2
New lower bounds for the Schur-Siegel-Smyth trace problem	2
Delay-dependent elliptic reconstruction and optimal ????^{∞}(????²) a posteriori error estimates for fully discrete delay parabolic problems	2
Unconditional full linear convergence and optimal complexity of adaptive iteratively linearized FEM for nonlinear PDEs	2
Uniqueness and stability for the solution of a nonlinear least squares problem	2
Numerical homotopies from Khovanskii bases	2
Polynomial approximation of symmetric functions	2
A geometric approach to cylindrical algebraic decomposition	2
Using aromas to search for preserved measures and integrals in Kahan’s method	2
Parallel subspace correction methods for semicoercive and nearly semicoercive convex optimization with applications to nonlinear PDEs	2
Approximating viscosity solutions of the Euler system	2
Kleinian sphere packings, reflection groups, and arithmeticity	2
A least-squares augmented Lagrangian virtual element method for Reissner-Mindlin plates	2
A random active set method for strictly convex quadratic problem with simple bounds	2
A new div-div-conforming symmetric tensor finite element space with applications to the biharmonic equation	2
Sampling recovery in ????₂ and other norms	2
Optimal convergence rates of adaptive WOPSIP from superclose nonconforming FEM	2
Bielliptic quotient modular curves of ????₀(????)	2
Uniform accuracy of implicit-explicit Runge-Kutta (IMEX-RK) schemes for hyperbolic systems with relaxation	2
Convergence analysis of a positivity-preserving numerical scheme for the Cahn-Hilliard-Stokes system with Flory-Huggins energy potential	2
Algorithms for fundamental invariants and equivariants of finite groups	2
On Darmon’s program for the generalized Fermat equation, II	2
Uniform error estimate of an asymptotic preserving scheme for the Lévy-Fokker-Planck equation	2
Convergence of a regularized finite element discretization of the two-dimensional Monge–Ampère equation	2
On the genus of one degree of freedom planar linkages via tropical geometry	2
A Prolog assisted search for new simple Lie algebras	2
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Algorithms for computing norms and characteristic polynomials on general Drinfeld modules	2
Inexact restoration for minimization with inexact evaluation both of the objective function and the constraints	2
Discrete tensor product BGG sequences: Splines and finite elements	2
Piecewise rational rotation-minimizing motions via data stream interpolation	2
Hybridizable symmetric stress elements on the barycentric refinement in arbitrary dimensions	2
On Iwasawa ????-invariants for abelian number fields and random matrix heuristics	2
On time uniform Wong-Zakai approximation theorems	2
Inexact Gauss-Newton methods with matrix approximation by sampling for nonlinear least-squares and systems	2
Density function of numerical solution of splitting AVF scheme for stochastic Langevin equation	2
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A class of refined implicit-explicit Runge-Kutta methods with robust time adaptability and unconditional convergence for the Cahn-Hilliard model	2
Asymptotic repetitive threshold of balanced sequences	2
Stability of conforming space–time isogeometric methods for the wave equation	2
Algebra and geometry of camera resectioning	2
Weak discrete maximum principle of isoparametric finite element methods in curvilinear polyhedra	2
Finite element/holomorphic operator function method for the transmission eigenvalue problem	2
Adaptive fast multiplication of ℋ²-matrices	2
Conditional Euclidean distance optimization via relative tangency	2
Analysis of stochastic probing methods for estimating the trace of functions of sparse symmetric matrices	2
Properties of discrete sliced Wasserstein losses	2
A second-order accurate, original energy dissipative numerical scheme for chemotaxis and its convergence analysis	1
Computation of the least primitive root	1
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An effective Positivstellensatz over the rational numbers for finite semialgebraic sets	1
Convergence of a stabilized parametric finite element method of the Barrett–Garcke–Nürnberg type for curve shortening flow	1
An algebraic framework for geometrically continuous splines	1
Density convergence of a fully discrete finite difference method for stochastic Cahn–Hilliard equation	1
Efficient computation of Wiener-Hopf factorization of Markov-modulated Brownian motion	1
Asymptotically compatible schemes for nonlinear variational models via Gamma-convergence and applications to nonlocal problems	1
Exact sequences on Worsey–Farin splits	1
Construction of diagonal quintic threefolds with infinitely many rational points	1
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Pointwise error estimates and local superconvergence of Jacobi expansions	1
Toward optimal exponent pairs	1
On the inf-sup stability of Crouzeix-Raviart Stokes elements in 3D	1
Low regularity estimates for CutFEM approximations of an elliptic problem with mixed boundary conditions	1
Analysis of the Feshbach–Schur method for the Fourier spectral discretizations of Schrödinger operators	1
Polynomial preserving recovery for the finite volume element methods under simplex meshes	1
Schinzel-type bounds for the Mahler measure on lemniscates	1
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High-order splitting finite element methods for the subdiffusion equation with limited smoothing property	1
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Semiexplicit symplectic integrators for non-separable Hamiltonian systems	1
Implicit-explicit relaxation Runge-Kutta methods: construction, analysis and applications to PDEs	1
Construction of polynomial preserving cochain extensions by blending	1
On the minimal algebraic complexity of the rank-one approximation problem for general inner products	1
Influence of sampling on the convergence rates of greedy algorithms for parameter-dependent random variables	1
Power detection over number fields	1
Congruences of elliptic curves arising from nonsurjective mod ???? Galois representations	1
Computing linear relations between polynomial roots	1
Large-scale Monte Carlo simulations for zeros in character tables of symmetric groups	1
Numerical analysis of a first-order computational algorithm for reaction-diffusion equations via the primal-dual hybrid gradient method	1
Convergent expansions and bounds for the incomplete elliptic integral of the second kind near the logarithmic singularity	1