Mathematics of Computation

Article	Citations
On factoring and power divisor problems via rank-3 lattices and the second vector	63
Rates of convergence of finite element approximations of second-order mean field games with nondifferentiable Hamiltonians	42
From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows	33
Convergence, finiteness and periodicity of several new algorithms of ????-adic continued fractions	33
Super-polynomial accuracy of multidimensional randomized nets using the median-of-means	27
Revisiting linearized Bregman iterations under Lipschitz-like convexity condition	23
Functional graphs of families of quadratic polynomials	20
Approximation of Stochastic Volterra Equations with kernels of completely monotone type	20
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
A hybrid iterative method based on MIONet for PDEs: Theory and numerical examples	16
Sampling-based methods for multi-block optimization problems over transport polytopes	16
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling	15
Towards a classification of isolated ????-invariants	15
Broken-FEEC discretizations and Hodge Laplace problems	15
Bohr sets generated by polynomials and Coppersmith’s method in many variables	14
Numerical analysis for electromagnetic scattering with nonlinear boundary conditions	14
Hensel lifting algorithms for quadratic forms	14
Generation of cycle permutation graphs and permutation snarks	13
Computing rough solutions of the stochastic nonlinear wave equation	13
Learning particle swarming models from data with Gaussian processes	13
Certified model order reduction for parametric Hermitian eigenproblems	13
Adaptive symplectic model order reduction of parametric particle-based Vlasov–Poisson equation	12
Quadratic points on bielliptic modular curves	12
A census of cubic fourfolds over ????₂	12

Hybridization and postprocessing in finite element exterior calculus	11
Divisibility conditions on the order of the reductions of algebraic numbers	11
On the computation of lattice sums without translational invariance	11
An arbitrary-order fully discrete Stokes complex on general polyhedral meshes	11
Stability of high-order Scott-Vogelius elements for 2D non-Newtonian incompressible flow	10
Component-by-component construction of randomized rank-1 lattice rules achieving almost the optimal randomized error rate	10
De Bruijn Sequences with Minimum Discrepancy	10
Scaled lattice rules for integration on ℝ^{????} achieving higher-order convergence with error analysis in terms of orthogonal projections onto periodic spaces	10
Bridging the gap: Symplecticity and low regularity in Runge–Kutta resonance-based schemes	10
A variational approach to the analysis of the continuous space–time FEM for the wave equation	9
Theory of shifts, shocks, and the intimate connections to ????²-type A posteriori error analysis of numerical schemes for hyperbolic problems	9
Finite element approximation for uniformly elliptic linear PDE of second order in nondivergence form	9
Near-optimal approximation methods for elliptic PDEs with lognormal coefficients	9
The Diophantine problem in Thompson’s group ????	9
Error estimates for discrete generalized FEMs with locally optimal spectral approximations	9
Quantum realization of the finite element method	9
QQMR: A structure preserving quaternion quasi-minimal residual method	9
From the Birch and Swinnerton-Dyer conjecture to Nagao’s conjecture	9
The sharpness condition for constructing a finite element from a superspline	9
Gradient descent for convex and smooth noisy optimization	9
A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients	9
Gonality of the modular curve ????₀(????)	9
Algebraic norm and ????-class group capitulations in totally ramified cyclic ????-extensions	8
An approximation theory framework for measure-transport sampling algorithms	8
Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem	8
On the computation of modular forms on noncongruence subgroups	8
A note on the growth factor in Gaussian elimination for generalized Higham matrices	8
Refined Selmer equations for the thrice-punctured line in depth two	8
A Newton’s iteration converges quadratically to nonisolated solutions too	8
Tropical tangents for complete intersection curves	8
Large-degree asymptotic expansions for the Jacobi and related functions	8
Breaking the 4 barrier for the bound of a generating set of the class group	8
Salem numbers with minimal trace	8
An algorithmic approach to Rupert’s problem	8
Cyclic sieving on permutations: An analysis of maps and statistics in the FindStat database	7
A Trefftz method with reconstruction of the normal derivative applied to elliptic equations	7
Extensible grid sampling for quantile estimation	7
Erratum to “The reciprocal sums of pseudoprimes and Carmichael numbers”	7
A non-iterative domain decomposition time integrator for linear wave equations	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
A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations	7
A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints	7
On Galois inertial types of elliptic curves over ℚ_{????}	7
The pollution effect for FEM approximations of the Ginzburg–Landau equation	7
Homomesies on permutations: An analysis of maps and statistics in the FindStat database	7
Optimizing the diffusion coefficient of overdamped Langevin dynamics	7
The interior penalty virtual element method for the biharmonic problem	7
Gaussian quadrature rules for composite highly oscillatory integrals	7
The reciprocal sums of pseudoprimes and Carmichael numbers	7

Multiple-scattering frequency-time hybrid solver for the wave equation in interior domains	7
Shadow line distributions	7
Hadamard–Hitchcock decompositions: Identifiability and computation	7
An algorithm for identifying eigenvectors exhibiting strong spatial localization	7
A randomized lattice rule without component-by-component construction	6
The lonely runner conjecture holds for eight runners	6
Quinary forms and paramodular forms	6
Convergence analysis of an adaptive nonconforming FEM for phase-field dependent topology optimization in Stokes flow	6
Robust error analysis of stabilized linear EMAC-ESAV finite element schemes for the incompressible Navier-Stokes equations	6
Mixed methods and lower eigenvalue bounds	6
Coupling conditions for linear hyperbolic relaxation systems in two-scale problems	6
Uniform preconditioners for high order finite element approximations of planar linear elasticity	6
Minimization of hypersurfaces	6
LSOS: Line-search second-order stochastic optimization methods for nonconvex finite sums	6
Curves on the surface of cuboids	6
Expected decrease for derivative-free algorithms using random subspaces	6
Optimal balanced-norm error estimate of the LDG method for reaction-diffusion problems II: The two-dimensional case with layer-upwind flux	6
Locally unitarily invariantizable NEPv and convergence analysis of SCF	6
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Toric eigenvalue methods for solving sparse polynomial systems	6
Fast numerical approximation of linear, second-order hyperbolic problems using model order reduction and the Laplace transform	6
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A Ramanujan integral and its derivatives: computation and analysis	6
Explicit Tamagawa numbers for certain algebraic tori over number fields	6
Sampling and homology via bottlenecks	6
Linear rates of asymptotic regularity for Halpern-type iterations	6
Unconditionally stable consistent splitting schemes for the Navier–Stokes equations with ????⁰ finite elements	5
Faster truncated integer multiplication	5
Convergence of the boundary integral method for interfacial Stokes flow	5
Computing equilibrium measures with power law kernels	5
Computations directly on the cuspidal cohomology of congruence subgroups of SL(3,ℤ)	5
Provable low-rank tensor-train approximations in the inverse of large-scale structured matrices	5
	5
The Adini finite element on locally refined meshes	5
Stochastic alternating structure-adapted proximal gradient descent method with variance reduction for nonconvex nonsmooth optimization	5
Enumeration of left braces with additive group ????₄×????₄×????₄	5
Projecting dynamical systems via a support bound	5
Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes	5
A Robin-Robin splitting method for the Stokes-Biot fluid-poroelastic structure interaction model	5
An explicit formula for the extended Gross-Keating datum of a quadratic form	5
Explicit Vologodsky integration for hyperelliptic curves	5
	5
Floquet–Bloch analysis of wave propagation with time-periodic coefficients	5
	5
A unified structure-preserving parametric finite element method for anisotropic surface diffusion	5
Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier–Stokes equations	5
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A kit for linear forms in three logarithms	4
Finite element de Rham and Stokes complexes in three dimensions	4
Minimization of differential equations and algebraic values of ????-functions	4
Improved computation of fundamental domains for arithmetic Fuchsian groups	4
Stochastic nested primal-dual method for nonconvex constrained composition optimization	4
Few hamiltonian cycles in graphs with one or two vertex degrees	4
The stabilization-free HDG method for fluid-structure interaction in a unified mixed formulation on Alfeld splits	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
Stochastic algorithms for self-consistent calculations of electronic structures	4
From discrete to continuous: Monochromatic 3-term arithmetic progressions	4
Virtual element methods for Biot–Kirchhoff poroelasticity	4
A short basis of the Stickelberger ideal of a cyclotomic field	4
An algorithm to recognize regular singular Mahler systems	4
Norm one Tori and Hasse norm principle	4
Adaptive Morley FEM for 2D stationary Navier-Stokes	4
Time domain boundary integral equations and convolution quadrature for scattering by composite media	4
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
	4
A new algorithm for ????-adic continued fractions	4
Closed bounded rational framing motions	4
Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems	4
A convex dual problem for the rational minimax approximation and Lawson’s iteration	4
A local discontinuous Galerkin method for the Novikov equation	4
Multiscale estimates for the condition number of non-harmonic Fourier matrices	4
	3
The classification and representations of positive definite ternary quadratic forms of level 4????	3
OEDG: Oscillation-eliminating discontinuous Galerkin method for hyperbolic conservation laws	3
Detecting eigenvectors of an operator that are near a specified subspace	3
On an extended Filon method for highly oscillatory integrals over a simplex	3
Preparing Hamiltonians for quantum simulation: A computational framework for Cartan decomposition via Lax dynamics	3
Effective homology and periods of complex projective hypersurfaces	3
Convergence of a stable numerical scheme to the weak solution for compressible Navier-Stokes system	3

Splitting integrators for stochastic Lie–Poisson systems	3
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A new div-div-conforming symmetric tensor finite element space with applications to the biharmonic equation	3
Sharp estimates for the Möbius function with coprimality restrictions	3
	3
The Weierstrass–Durand–Kerner root finder is not generally convergent	3
Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix–fracture interfaces	3
Thermodynamically consistent and positivity-preserving discretization of the thin-film equation with thermal noise	3
Energy diminishing implicit-explicit Runge–Kutta methods for gradient flows	3
Discrete geometry of Cox rings of blow-ups of ℙ³	3
A framework for analysis of DEC approximations to Hodge-Laplacian problems using generalized Whitney forms	3
Dynamics of quadratic polynomials and rational points on a curve of genus 4	3
On the sign changes of ????(????)-????	3
Weighted finite difference methods for the semiclassical nonlinear Schrödinger equation with multiphase oscillatory initial data	3
Iterative solution of spatial network models by subspace decomposition	3
A quasi-optimal space-time FEM with local mesh refinements for parabolic problems	3
On time uniform Wong-Zakai approximation theorems	3
Wavenumber-explicit stability and convergence analysis of ℎ???? finite element discretizations of Helmholtz problems in piecewise smooth media	3
Stability and convergence analysis of a fully discrete semi-implicit scheme for stochastic Allen-Cahn equations with multiplicative noise	3
Six-dimensional sphere packing and linear programming	3
On the Halpern method with adaptive anchoring parameters	3
Inf-sup stability implies quasi-orthogonality	3
A node-conservative vorticity preserving finite volume method for linear acoustics on unstructured grids	3
Low-regularity exponential-type integrators for the Zakharov system with rough data in all dimensions	3
Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity	3
An abstract approach to Marcinkiewicz-Zygmund inequalities for approximation and quadrature in modulation spaces	3
Numerical solution of Poisson partial differential equation in high dimension using two-layer neural networks	3
On median filters for motion by mean curvature	3
Convergence analysis of Laguerre approximations for analytic functions	3
Double-variable trace maximization for extreme generalized singular quartets of a matrix pair: A geometric method	3
Rational group algebras of generalized strongly monomial groups: Primitive idempotents and units	3
Uniform accuracy of implicit-explicit Runge-Kutta (IMEX-RK) schemes for hyperbolic systems with relaxation	3
Kac-Rice formulas and the number of solutions of parametrized systems of polynomial equations	3
A manifold of planar triangular meshes with complete Riemannian metric	3
Hybridizable symmetric stress elements on the barycentric refinement in arbitrary dimensions	2
The smallest 5-chromatic tournament	2
Finite element/holomorphic operator function method for the transmission eigenvalue problem	2
Uniqueness and stability for the solution of a nonlinear least squares problem	2
A unifying theory for metrical results on regular continued fraction convergents and mediants	2
Discrete tensor product BGG sequences: Splines and finite elements	2
Approximating viscosity solutions of the Euler system	2
A geometric approach to cylindrical algebraic decomposition	2
On Darmon’s program for the generalized Fermat equation, II	2
Numerical homotopies from Khovanskii bases	2
Inexact restoration for minimization with inexact evaluation both of the objective function and the constraints	2
Delay-dependent elliptic reconstruction and optimal ????^{∞}(????²) a posteriori error estimates for fully discrete delay parabolic problems	2
Sampling recovery in ????₂ and other norms	2
Convergence of Random Batch Method with replacement for interacting particle systems	2
Convergence analysis of a positivity-preserving numerical scheme for the Cahn-Hilliard-Stokes system with Flory-Huggins energy potential	2
????-robust equivalence of global continuous constrained and local discontinuous unconstrained approximation, a ????-stable local commuting projector, and optimal elementwise ℎ???? approximation estim	2
Counterexamples to the ????(????)-adic Littlewood conjecture over small finite fields	2
On the genus of one degree of freedom planar linkages via tropical geometry	2
????^{1,∞} and ????^{∞} error estimates for an IP-HDG method for second-order elliptic problem with application to pointwise tracking optimal control	2
A unified differential equation solver approach for separable convex optimization: Splitting, acceleration and nonergodic rate	2
Unconditional full linear convergence and optimal complexity of adaptive iteratively linearized FEM for nonlinear PDEs	2
An algebraic multiscale method for spatial network models	2
On Iwasawa ????-invariants for abelian number fields and random matrix heuristics	2
Analysis of stochastic probing methods for estimating the trace of functions of sparse symmetric matrices	2
A random active set method for strictly convex quadratic problem with simple bounds	2
A least-squares augmented Lagrangian virtual element method for Reissner-Mindlin plates	2
Fully-discrete cell entropy inequality of third-order explicit Runge-Kutta discontinuous Galerkin method for nonlinear conservation laws	2
Polynomial approximation of symmetric functions	2
Improved uniform error bounds of the time-splitting methods for the long-time (nonlinear) Schrödinger equation	2
Optimal error estimate of unconditionally positivity-preserving, mass-conserving and energy stable method for the Keller-Segel chemotaxis model	2
Weak discrete maximum principle of isoparametric finite element methods in curvilinear polyhedra	2
Convergence of a regularized finite element discretization of the two-dimensional Monge–Ampère equation	2
Uniform error estimate of an asymptotic preserving scheme for the Lévy-Fokker-Planck equation	2
Algebraic power series and their automatic complexity modulo prime powers	2
Virtual element methods based on boundary triangulation: Fitted and unfitted meshes	2
A random integration algorithm for high-dimensional function spaces	2
Algorithms for fundamental invariants and equivariants of finite groups	2
Density function of numerical solution of splitting AVF scheme for stochastic Langevin equation	2
Using aromas to search for preserved measures and integrals in Kahan’s method	2
Sampling via gradient flows in the space of probability measures	2
Bielliptic quotient modular curves of ????₀(????)	2
A class of refined implicit-explicit Runge-Kutta methods with robust time adaptability and unconditional convergence for the Cahn-Hilliard model	2
Algebra and geometry of camera resectioning	2
New lower bounds for the Schur-Siegel-Smyth trace problem	2
Properties of discrete sliced Wasserstein losses	2
Piecewise rational rotation-minimizing motions via data stream interpolation	2
Algorithms for computing norms and characteristic polynomials on general Drinfeld modules	2
Asymptotic repetitive threshold of balanced sequences	2
A new practical framework for the stability analysis of perturbed saddle-point problems and applications	2
Adaptive fast multiplication of ℋ²-matrices	2
Kleinian sphere packings, reflection groups, and arithmeticity	2
Parallel subspace correction methods for semicoercive and nearly semicoercive convex optimization with applications to nonlinear PDEs	2
Conditional Euclidean distance optimization via relative tangency	2
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Multi- and infinite-variate integration and ????²-approximation on Hilbert spaces with Gaussian kernels	2
Inexact Gauss-Newton methods with matrix approximation by sampling for nonlinear least-squares and systems	2
A Prolog assisted search for new simple Lie algebras	2
Computing inverses of Stieltjes transforms of probability measures	2
Optimal convergence rates of adaptive WOPSIP from superclose nonconforming FEM	2
Influence of sampling on the convergence rates of greedy algorithms for parameter-dependent random variables	1
Implicit-explicit relaxation Runge-Kutta methods: construction, analysis and applications to PDEs	1