Mathematics of Computation

Article	Citations
On factoring and power divisor problems via rank-3 lattices and the second vector	66
Convergence, finiteness and periodicity of several new algorithms of ????-adic continued fractions	49
Functional graphs of families of quadratic polynomials	37
From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows	33
Revisiting linearized Bregman iterations under Lipschitz-like convexity condition	29
Rates of convergence of finite element approximations of second-order mean field games with nondifferentiable Hamiltonians	24
Sampling-based methods for multi-block optimization problems over transport polytopes	20
Approximation of Stochastic Volterra Equations with kernels of completely monotone type	19
Reducing polynomial degree by one for inner-stage operators affects neither stability type nor accuracy order of the Runge–Kutta discontinuous Galerkin method	19
Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries	18
Super-polynomial accuracy of multidimensional randomized nets using the median-of-means	17
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling	16
Broken-FEEC discretizations and Hodge Laplace problems	15
Towards a classification of isolated ????-invariants	15
A hybrid iterative method based on MIONet for PDEs: Theory and numerical examples	15
Hensel lifting algorithms for quadratic forms	14
Bohr sets generated by polynomials and Coppersmith’s method in many variables	14
Numerical analysis for electromagnetic scattering with nonlinear boundary conditions	14
Certified model order reduction for parametric Hermitian eigenproblems	13
Constructive quasi-uniform sequences over triangles	13
Learning particle swarming models from data with Gaussian processes	13
Generation of cycle permutation graphs and permutation snarks	13
BDF2-type integrator for Landau-Lifshitz-Gilbert equation in micromagnetics: Unconditional weak convergence to weak solutions	12
Computing rough solutions of the stochastic nonlinear wave equation	12
Quadratic points on bielliptic modular curves	12

A census of cubic fourfolds over ????₂	12
Divisibility conditions on the order of the reductions of algebraic numbers	11
Scaled lattice rules for integration on ℝ^{????} achieving higher-order convergence with error analysis in terms of orthogonal projections onto periodic spaces	11
An arbitrary-order fully discrete Stokes complex on general polyhedral meshes	11
De Bruijn Sequences with Minimum Discrepancy	11
Hybridization and postprocessing in finite element exterior calculus	11
Component-by-component construction of randomized rank-1 lattice rules achieving almost the optimal randomized error rate	10
The Diophantine problem in Thompson’s group ????	10
From the Birch and Swinnerton-Dyer conjecture to Nagao’s conjecture	10
On the computation of lattice sums without translational invariance	10
Stability of high-order Scott-Vogelius elements for 2D non-Newtonian incompressible flow	10
Theory of shifts, shocks, and the intimate connections to ????²-type A posteriori error analysis of numerical schemes for hyperbolic problems	10
A variational approach to the analysis of the continuous space–time FEM for the wave equation	10
Adaptive symplectic model order reduction of parametric particle-based Vlasov–Poisson equation	10
Gradient descent for convex and smooth noisy optimization	10
Near-optimal approximation methods for elliptic PDEs with lognormal coefficients	10
A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients	10
The sharpness condition for constructing a finite element from a superspline	9
A note on the growth factor in Gaussian elimination for generalized Higham matrices	9
Refined Selmer equations for the thrice-punctured line in depth two	9
Large-degree asymptotic expansions for the Jacobi and related functions	9
QQMR: A structure preserving quaternion quasi-minimal residual method	9
Quantum realization of the finite element method	9
On the computation of modular forms on noncongruence subgroups	9
Bridging the gap: Symplecticity and low regularity in Runge–Kutta resonance-based schemes	9
Gonality of the modular curve ????₀(????)	9
Algebraic norm and ????-class group capitulations in totally ramified cyclic ????-extensions	9
A Newton’s iteration converges quadratically to nonisolated solutions too	9
Erratum to “The reciprocal sums of pseudoprimes and Carmichael numbers”	8
Breaking the 4 barrier for the bound of a generating set of the class group	8
Tropical tangents for complete intersection curves	8
Alleviating missing boundary conditions in elliptic partial differential equations using interior point measurements	8
The reciprocal sums of pseudoprimes and Carmichael numbers	8
The pollution effect for FEM approximations of the Ginzburg–Landau equation	8
On the quasi-uniformity properties of quasi-Monte Carlo point sets and sequences–Part II: Digital nets and sequences	8
Salem numbers with minimal trace	8
Finite element approximation for uniformly elliptic linear PDE of second order in nondivergence form	8
An approximation theory framework for measure-transport sampling algorithms	8
Hadamard–Hitchcock decompositions: Identifiability and computation	8
An algorithm for identifying eigenvectors exhibiting strong spatial localization	8
Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem	8
An algorithmic approach to Rupert’s problem	8
A non-iterative domain decomposition time integrator for linear wave equations	8
Extensible grid sampling for quantile estimation	8
On Galois inertial types of elliptic curves over ℚ_{????}	7
A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints	7
The interior penalty virtual element method for the biharmonic problem	7
Optimizing the diffusion coefficient of overdamped Langevin dynamics	7
Mixed methods and lower eigenvalue bounds	7
Robust error analysis of stabilized linear EMAC-ESAV finite element schemes for the incompressible Navier-Stokes equations	7

Multiple-scattering frequency-time hybrid solver for the wave equation in interior domains	7
Shadow line distributions	7
Homomesies on permutations: An analysis of maps and statistics in the FindStat database	7
Explicit Tamagawa numbers for certain algebraic tori over number fields	7
Coupling conditions for linear hyperbolic relaxation systems in two-scale problems	7
On the densities of covering numbers and abundant numbers	7
Recovery of Sobolev functions restricted to iid sampling	7
Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation	7
Modular curves ????₀(????) of density degree 5	7
Locally unitarily invariantizable NEPv and convergence analysis of SCF	7
Optimal balanced-norm error estimate of the LDG method for reaction-diffusion problems II: The two-dimensional case with layer-upwind flux	7
Gaussian quadrature rules for composite highly oscillatory integrals	7
Convergence analysis of an adaptive nonconforming FEM for phase-field dependent topology optimization in Stokes flow	6
Structure-preserving local discontinuous Galerkin discretization of conformational conversion systems	6
A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations	6
Uniform preconditioners for high order finite element approximations of planar linear elasticity	6
Fast numerical approximation of linear, second-order hyperbolic problems using model order reduction and the Laplace transform	6
A Ramanujan integral and its derivatives: computation and analysis	6
Cyclic sieving on permutations: An analysis of maps and statistics in the FindStat database	6
The lonely runner conjecture holds for eight runners	6
Curves on the surface of cuboids	6
LSOS: Line-search second-order stochastic optimization methods for nonconvex finite sums	6
Quinary forms and paramodular forms	6
Expected decrease for derivative-free algorithms using random subspaces	6
Linear rates of asymptotic regularity for Halpern-type iterations	6
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Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier–Stokes equations	5
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Convergence of the boundary integral method for interfacial Stokes flow	5
Infinite Euclidean distance discriminants	5
Enumeration of left braces with additive group ????₄×????₄×????₄	5
Computations directly on the cuspidal cohomology of congruence subgroups of SL(3,ℤ)	5
The Adini finite element on locally refined meshes	5
Faster truncated integer multiplication	5
An explicit formula for the extended Gross-Keating datum of a quadratic form	5
A randomized lattice rule without component-by-component construction	5
Floquet–Bloch analysis of wave propagation with time-periodic coefficients	5
Stochastic alternating structure-adapted proximal gradient descent method with variance reduction for nonconvex nonsmooth optimization	5
A unified structure-preserving parametric finite element method for anisotropic surface diffusion	5
Provable low-rank tensor-train approximations in the inverse of large-scale structured matrices	5
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Projecting dynamical systems via a support bound	5
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Minimization of hypersurfaces	5
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On invariable generation of alternating groups by elements of prime and prime power order	5
Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes	5
Unconditionally stable consistent splitting schemes for the Navier–Stokes equations with ????⁰ finite elements	5
Optimal convergence of a fully decoupled finite difference scheme of the Abels–Garcke–Grün model for incompressible two-phase flows with unmatched densities	4
Regularity and tailored regularization of deep neural networks, with application to parametric PDEs in uncertainty quantification	4
From discrete to continuous: Monochromatic 3-term arithmetic progressions	4
Finite element de Rham and Stokes complexes in three dimensions	4
Minimization of differential equations and algebraic values of ????-functions	4
An abstract approach to Marcinkiewicz-Zygmund inequalities for approximation and quadrature in modulation spaces	4
Stochastic nested primal-dual method for nonconvex constrained composition optimization	4
A short basis of the Stickelberger ideal of a cyclotomic field	4
Adaptive Morley FEM for 2D stationary Navier-Stokes	4
Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity	4
A kit for linear forms in three logarithms	4
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Construction and analysis of a HDG solution for the total-flux formulation of the convected Helmholtz equation	4
A framework for analysis of DEC approximations to Hodge-Laplacian problems using generalized Whitney forms	4
Few hamiltonian cycles in graphs with one or two vertex degrees	4
Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems	4
Multiscale estimates for the condition number of non-harmonic Fourier matrices	4
Improved computation of fundamental domains for arithmetic Fuchsian groups	4
The stabilization-free HDG method for fluid-structure interaction in a unified mixed formulation on Alfeld splits	4
A Robin-Robin splitting method for the Stokes-Biot fluid-poroelastic structure interaction model	4
A path-dependent PDE solver based on signature kernels	4
Stochastic algorithms for self-consistent calculations of electronic structures	4
Virtual element methods for Biot–Kirchhoff poroelasticity	4
Closed bounded rational framing motions	4
A local discontinuous Galerkin method for the Novikov equation	4
Preparing Hamiltonians for quantum simulation: A computational framework for Cartan decomposition via Lax dynamics	4
A new algorithm for ????-adic continued fractions	4
A convex dual problem for the rational minimax approximation and Lawson’s iteration	4
An algorithm to recognize regular singular Mahler systems	4
Weighted finite difference methods for the semiclassical nonlinear Schrödinger equation with multiphase oscillatory initial data	3
Bielliptic quotient modular curves of ????₀(????)	3

On the Halpern method with adaptive anchoring parameters	3
Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix–fracture interfaces	3
Numerical computations concerning Landau-Siegel zeros	3
Uniform accuracy of implicit-explicit Runge-Kutta (IMEX-RK) schemes for hyperbolic systems with relaxation	3
Thermodynamically consistent and positivity-preserving discretization of the thin-film equation with thermal noise	3
The Weierstrass–Durand–Kerner root finder is not generally convergent	3
On an extended Filon method for highly oscillatory integrals over a simplex	3
On time uniform Wong-Zakai approximation theorems	3
Convergence analysis of Laguerre approximations for analytic functions	3
Numerical solution of Poisson partial differential equation in high dimension using two-layer neural networks	3
The smallest 5-chromatic tournament	3
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Kac-Rice formulas and the number of solutions of parametrized systems of polynomial equations	3
Iterative solution of spatial network models by subspace decomposition	3
Inexact Gauss-Newton methods with matrix approximation by sampling for nonlinear least-squares and systems	3
Rational group algebras of generalized strongly monomial groups: Primitive idempotents and units	3
A quasi-optimal space-time FEM with local mesh refinements for parabolic problems	3
Wavenumber-explicit stability and convergence analysis of ℎ???? finite element discretizations of Helmholtz problems in piecewise smooth media	3
Effective homology and periods of complex projective hypersurfaces	3
Energy diminishing implicit-explicit Runge–Kutta methods for gradient flows	3
A unified differential equation solver approach for separable convex optimization: Splitting, acceleration and nonergodic rate	3
Low-regularity exponential-type integrators for the Zakharov system with rough data in all dimensions	3
Counterexamples to the ????(????)-adic Littlewood conjecture over small finite fields	3
Dynamics of quadratic polynomials and rational points on a curve of genus 4	3
A new div-div-conforming symmetric tensor finite element space with applications to the biharmonic equation	3
Discrete geometry of Cox rings of blow-ups of ℙ³	3
Convergence of a stable numerical scheme to the weak solution for compressible Navier-Stokes system	3
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Double-variable trace maximization for extreme generalized singular quartets of a matrix pair: A geometric method	3
Interpolated drift implicit Euler MLMC method for barrier option pricing and application to CIR and CEV models	3
A random integration algorithm for high-dimensional function spaces	3
On median filters for motion by mean curvature	3
Stability and convergence analysis of a fully discrete semi-implicit scheme for stochastic Allen-Cahn equations with multiplicative noise	3
The classification and representations of positive definite ternary quadratic forms of level 4????	3
A manifold of planar triangular meshes with complete Riemannian metric	3
A node-conservative vorticity preserving finite volume method for linear acoustics on unstructured grids	3
Convergence analysis of a positivity-preserving numerical scheme for the Cahn-Hilliard-Stokes system with Flory-Huggins energy potential	3
Detecting eigenvectors of an operator that are near a specified subspace	3
Sharp estimates for the Möbius function with coprimality restrictions	3
On the sign changes of ????(????)-????	3
Optimal convergence rates of adaptive WOPSIP from superclose nonconforming FEM	3
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Six-dimensional sphere packing and linear programming	3
Sampling recovery in ????₂ and other norms	3
OEDG: Oscillation-eliminating discontinuous Galerkin method for hyperbolic conservation laws	3
Splitting integrators for stochastic Lie–Poisson systems	3
Asymptotic repetitive threshold of balanced sequences	2
Polynomial approximation of symmetric functions	2
Unconditional full linear convergence and optimal complexity of adaptive iteratively linearized FEM for nonlinear PDEs	2
Analysis of stochastic probing methods for estimating the trace of functions of sparse symmetric matrices	2
A new practical framework for the stability analysis of perturbed saddle-point problems and applications	2
Fully discretized Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem	2
A random active set method for strictly convex quadratic problem with simple bounds	2
Numerical approximation and analysis of the inverse Robin problem using the Kohn-Vogelius method	2
Optimal error estimate of unconditionally positivity-preserving, mass-conserving and energy stable method for the Keller-Segel chemotaxis model	2
Convergence of Random Batch Method with replacement for interacting particle systems	2
Uniform error estimate of an asymptotic preserving scheme for the Lévy-Fokker-Planck equation	2
Uniqueness and stability for the solution of a nonlinear least squares problem	2
Multi- and infinite-variate integration and ????²-approximation on Hilbert spaces with Gaussian kernels	2
????^{1,∞} and ????^{∞} error estimates for an IP-HDG method for second-order elliptic problem with application to pointwise tracking optimal control	2
New lower bounds for the Schur-Siegel-Smyth trace problem	2
On Darmon’s program for the generalized Fermat equation, II	2
A unifying theory for metrical results on regular continued fraction convergents and mediants	2
Piecewise rational rotation-minimizing motions via data stream interpolation	2
Virtual element methods based on boundary triangulation: Fitted and unfitted meshes	2
Improved uniform error bounds of the time-splitting methods for the long-time (nonlinear) Schrödinger equation	2
Conditional Euclidean distance optimization via relative tangency	2
Convergence of a regularized finite element discretization of the two-dimensional Monge–Ampère equation	2
Discrete tensor product BGG sequences: Splines and finite elements	2
Algorithms for computing norms and characteristic polynomials on general Drinfeld modules	2
On Iwasawa ????-invariants for abelian number fields and random matrix heuristics	2
A Prolog assisted search for new simple Lie algebras	2
Computing inverses of Stieltjes transforms of probability measures	2
????-robust equivalence of global continuous constrained and local discontinuous unconstrained approximation, a ????-stable local commuting projector, and optimal elementwise ℎ???? approximation estim	2
Inexact restoration for minimization with inexact evaluation both of the objective function and the constraints	2
An algebraic multiscale method for spatial network models	2
A least-squares augmented Lagrangian virtual element method for Reissner-Mindlin plates	2
Parallel subspace correction methods for semicoercive and nearly semicoercive convex optimization with applications to nonlinear PDEs	2
Algebraic power series and their automatic complexity modulo prime powers	2
Sampling via gradient flows in the space of probability measures	2
Hybridizable symmetric stress elements on the barycentric refinement in arbitrary dimensions	2
Fully-discrete cell entropy inequality of third-order explicit Runge-Kutta discontinuous Galerkin method for nonlinear conservation laws	2
Properties of discrete sliced Wasserstein losses	2
Stability of conforming space–time isogeometric methods for the wave equation	2
Adaptive fast multiplication of ℋ²-matrices	2
Finite element/holomorphic operator function method for the transmission eigenvalue problem	2
On the genus of one degree of freedom planar linkages via tropical geometry	2
Algebra and geometry of camera resectioning	2
A class of refined implicit-explicit Runge-Kutta methods with robust time adaptability and unconditional convergence for the Cahn-Hilliard model	2
Using aromas to search for preserved measures and integrals in Kahan’s method	2
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Influence of sampling on the convergence rates of greedy algorithms for parameter-dependent random variables	1
A lower bound for the number of Egyptian fractions	1
Schinzel-type bounds for the Mahler measure on lemniscates	1
Polynomial preserving recovery for the finite volume element methods under simplex meshes	1