Mathematics of Computation

Article	Citations
Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries	65
Convergence, finiteness and periodicity of several new algorithms of ????-adic continued fractions	59
Revisiting linearized Bregman iterations under Lipschitz-like convexity condition	41
Accurate estimation of sums over zeros of the Riemann zeta-function	30
Super-polynomial accuracy of multidimensional randomized nets using the median-of-means	28
Approximation of Stochastic Volterra Equations with kernels of completely monotone type	23
From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows	22
Functional graphs of families of quadratic polynomials	22
Reducing polynomial degree by one for inner-stage operators affects neither stability type nor accuracy order of the Runge–Kutta discontinuous Galerkin method	21
Sampling-based methods for multi-block optimization problems over transport polytopes	21
Broken-FEEC discretizations and Hodge Laplace problems	20
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling	19
Certified dimension reduction in nonlinear Bayesian inverse problems	19
Stabilized leapfrog based local time-stepping method for the wave equation	19
Uniform convergence of an upwind discontinuous Galerkin method for solving scaled discrete-ordinate radiative transfer equations with isotropic scattering	18
A hybrid iterative method based on MIONet for PDEs: Theory and numerical examples	16
Second order monotone finite differences discretization of linear anisotropic differential operators	16
Time discretizations of Wasserstein–Hamiltonian flows	16
An extended Galerkin analysis in finite element exterior calculus	15
On bounds for Kummer’s function ratio	15
Asymptotic expansions of eigenvalues by both the Crouzeix–Raviart and enriched Crouzeix–Raviart elements	15
Error estimates for a class of continuous Bonse-type inequalities	14
Learning particle swarming models from data with Gaussian processes	14
Numerical analysis for electromagnetic scattering with nonlinear boundary conditions	14
Hensel lifting algorithms for quadratic forms	14

Full discretization error analysis of exponential integrators for semilinear wave equations	13
Towards a classification of isolated ????-invariants	13
The minimality of the Georges–Kelmans graph	12
Quadratic points on bielliptic modular curves	11
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
Counting zeros of Dedekind zeta functions	11
An arbitrary-order fully discrete Stokes complex on general polyhedral meshes	11
Hybridization and postprocessing in finite element exterior calculus	10
Component-by-component construction of randomized rank-1 lattice rules achieving almost the optimal randomized error rate	10
A census of cubic fourfolds over ????₂	10
Adaptive symplectic model order reduction of parametric particle-based Vlasov–Poisson equation	10
On the computation of lattice sums without translational invariance	10
Multiscale scattering in nonlinear Kerr-type media	9
Superconvergence of time invariants for the Gross–Pitaevskii equation	9
Error estimates for discrete generalized FEMs with locally optimal spectral approximations	9
Gonality of the modular curve ????₀(????)	8
A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients	8
	8
A posteriori error analysis for approximations of time-fractional subdiffusion problems	8
A log-log speedup for exponent one-fifth deterministic integer factorisation	8
Theory of shifts, shocks, and the intimate connections to ????²-type A posteriori error analysis of numerical schemes for hyperbolic problems	8
From the Birch and Swinnerton-Dyer conjecture to Nagao’s conjecture	8
Rate optimality of adaptive finite element methods with respect to overall computational costs	7
On the computation of modular forms on noncongruence subgroups	7
An algorithmic approach to Rupert’s problem	7
QQMR: A structure preserving quaternion quasi-minimal residual method	7
Tropical tangents for complete intersection curves	7
An approximation theory framework for measure-transport sampling algorithms	7
	7
Near-optimal approximation methods for elliptic PDEs with lognormal coefficients	7
Finite element approximation for uniformly elliptic linear PDE of second order in nondivergence form	7
Refined Selmer equations for the thrice-punctured line in depth two	7
An algorithm for identifying eigenvectors exhibiting strong spatial localization	6
Extensible grid sampling for quantile estimation	6
Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation	6
Homomesies on permutations: An analysis of maps and statistics in the FindStat database	6
The interior penalty virtual element method for the biharmonic problem	6
Explicit Tamagawa numbers for certain algebraic tori over number fields	6
Multiple-scattering frequency-time hybrid solver for the wave equation in interior domains	6
Recovery of Sobolev functions restricted to iid sampling	6
Superconvergence of the Strang splitting when using the Crank-Nicolson scheme for parabolic PDEs with Dirichlet and oblique boundary conditions	6
Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem	6
The reciprocal sums of pseudoprimes and Carmichael numbers	6
Optimizing the diffusion coefficient of overdamped Langevin dynamics	6
Expected decrease for derivative-free algorithms using random subspaces	6
A Trefftz method with reconstruction of the normal derivative applied to elliptic equations	6
Salem numbers with minimal trace	6
A Newton’s iteration converges quadratically to nonisolated solutions too	6
A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints	6

Coupling conditions for linear hyperbolic relaxation systems in two-scale problems	6
A Ramanujan integral and its derivatives: computation and analysis	6
	5
Linear rates of asymptotic regularity for Halpern-type iterations	5
Optimal balanced-norm error estimate of the LDG method for reaction-diffusion problems II: The two-dimensional case with layer-upwind flux	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
Multilevel decompositions and norms for negative order Sobolev spaces	5
Convergence acceleration of ensemble Kalman inversion in nonlinear settings	5
Quinary forms and paramodular forms	5
A randomized lattice rule without component-by-component construction	5
A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations	5
Strong convergence and asymptotic stability of explicit numerical schemes for nonlinear stochastic differential equations	5
Mixed methods and lower eigenvalue bounds	5
Locally unitarily invariantizable NEPv and convergence analysis of SCF	5
Toric eigenvalue methods for solving sparse polynomial systems	5
Uniform preconditioners for high order finite element approximations of planar linear elasticity	5
On symmetric-conjugate composition methods in the numerical integration of differential equations	5
Gaussian quadrature rules for composite highly oscillatory integrals	5
On the existence of abelian surfaces with everywhere good reduction	5
Minimization of hypersurfaces	5
Virtual element methods for Biot–Kirchhoff poroelasticity	4
From discrete to continuous: Monochromatic 3-term arithmetic progressions	4
Maximum-norm stability of the finite element method for the Neumann problem in nonconvex polygons with locally refined mesh	4
Convergence of the boundary integral method for interfacial Stokes flow	4
	4
Stochastic alternating structure-adapted proximal gradient descent method with variance reduction for nonconvex nonsmooth optimization	4
Stability and convergence analysis of artificial boundary conditions for the Schrödinger equation on a rectangular domain	4
A kit for linear forms in three logarithms	4
Minimization of differential equations and algebraic values of ????-functions	4
Stochastic algorithms for self-consistent calculations of electronic structures	4
	4
An explicit formula for the extended Gross-Keating datum of a quadratic form	4
	4
Finite element de Rham and Stokes complexes in three dimensions	4
Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier–Stokes equations	4
Explicit Vologodsky integration for hyperelliptic curves	4
	4
A unified structure-preserving parametric finite element method for anisotropic surface diffusion	4
Norm one Tori and Hasse norm principle	4
On invariable generation of alternating groups by elements of prime and prime power order	4
A discontinuous Galerkin pressure correction scheme for the incompressible Navier–Stokes equations: Stability and convergence	4
Computing equilibrium measures with power law kernels	4
Faster truncated integer multiplication	4
Enumeration of left braces with additive group ????₄×????₄×????₄	4
	4
An abstract approach to Marcinkiewicz-Zygmund inequalities for approximation and quadrature in modulation spaces	4
Construction and analysis of a HDG solution for the total-flux formulation of the convected Helmholtz equation	4
Dynamics of quadratic polynomials and rational points on a curve of genus 4	3
	3
On the sign changes of ????(????)-????	3
Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity	3
Energy diminishing implicit-explicit Runge–Kutta methods for gradient flows	3
Equivalence between Sobolev spaces of first-order dominating mixed smoothness and unanchored ANOVA spaces on ℝ^{????}	3
A new algorithm for ????-adic continued fractions	3
Improved computation of fundamental domains for arithmetic Fuchsian groups	3
Time domain boundary integral equations and convolution quadrature for scattering by composite media	3
A sharp discrepancy bound for jittered sampling	3
Convergence analysis of Laguerre approximations for analytic functions	3
On median filters for motion by mean curvature	3
Iterative solution of spatial network models by subspace decomposition	3
Thermodynamically consistent and positivity-preserving discretization of the thin-film equation with thermal noise	3
Computing ????-adic L-functions of totally real fields	3
Multiscale estimates for the condition number of non-harmonic Fourier matrices	3
The stabilization-free HDG method for fluid-structure interaction in a unified mixed formulation on Alfeld splits	3
Preparing Hamiltonians for quantum simulation: A computational framework for Cartan decomposition via Lax dynamics	3
Few hamiltonian cycles in graphs with one or two vertex degrees	3
A short basis of the Stickelberger ideal of a cyclotomic field	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
Computing ????-polynomials of Picard curves from Cartier–Manin matrices	3
	3
On an extended Filon method for highly oscillatory integrals over a simplex	3
Low-regularity exponential-type integrators for the Zakharov system with rough data in all dimensions	3
Stochastic nested primal-dual method for nonconvex constrained composition optimization	3
A convex dual problem for the rational minimax approximation and Lawson’s iteration	3
An algorithm to recognize regular singular Mahler systems	3
Adaptive Morley FEM for 2D stationary Navier-Stokes	3
A local discontinuous Galerkin method for the Novikov equation	3
A node-conservative vorticity preserving finite volume method for linear acoustics on unstructured grids	3

Wavenumber-explicit stability and convergence analysis of ℎ???? finite element discretizations of Helmholtz problems in piecewise smooth media	3
A unified differential equation solver approach for separable convex optimization: Splitting, acceleration and nonergodic rate	2
Approximating viscosity solutions of the Euler system	2
A nonsymmetric approach and a quasi-optimal and robust discretization for the Biot’s model	2
Fast and stable augmented Levin methods for highly oscillatory and singular integrals	2
Asymptotic repetitive threshold of balanced sequences	2
Effective homology and periods of complex projective hypersurfaces	2
Bielliptic quotient modular curves of ????₀(????)	2
A two-level preconditioned Helmholtz-Jacobi-Davidson method for the Maxwell eigenvalue problem	2
	2
Rational group algebras of generalized strongly monomial groups: Primitive idempotents and units	2
On Iwasawa ????-invariants for abelian number fields and random matrix heuristics	2
Uniform accuracy of implicit-explicit Runge-Kutta (IMEX-RK) schemes for hyperbolic systems with relaxation	2
On Darmon’s program for the generalized Fermat equation, II	2
Optimal convergence rates of adaptive WOPSIP from superclose nonconforming FEM	2
Adaptive fast multiplication of ℋ²-matrices	2
Stability and convergence analysis of a fully discrete semi-implicit scheme for stochastic Allen-Cahn equations with multiplicative noise	2
Inexact restoration for minimization with inexact evaluation both of the objective function and the constraints	2
Splitting integrators for stochastic Lie–Poisson systems	2
Convergence analysis of a positivity-preserving numerical scheme for the Cahn-Hilliard-Stokes system with Flory-Huggins energy potential	2
	2
Six-dimensional sphere packing and linear programming	2
Inf-sup stability implies quasi-orthogonality	2
Double-variable trace maximization for extreme generalized singular quartets of a matrix pair: A geometric method	2
Stability and convergence analysis for the implicit-explicit method to the Cahn-Hilliard equation	2
A uniformly accurate numerical method for a class of dissipative systems	2
A least-squares augmented Lagrangian virtual element method for Reissner-Mindlin plates	2
Density function of numerical solution of splitting AVF scheme for stochastic Langevin equation	2
Convergence of a regularized finite element discretization of the two-dimensional Monge–Ampère equation	2
OEDG: Oscillation-eliminating discontinuous Galerkin method for hyperbolic conservation laws	2
New lower bounds for the Schur-Siegel-Smyth trace problem	2
A weighted randomized Kaczmarz method for solving linear systems	2
Stochastic gradient descent for linear inverse problems in Hilbert spaces	2
The Weierstrass–Durand–Kerner root finder is not generally convergent	2
An exponent one-fifth algorithm for deterministic integer factorisation	2
Optimal error estimate of unconditionally positivity-preserving, mass-conserving and energy stable method for the Keller-Segel chemotaxis model	2
A manifold of planar triangular meshes with complete Riemannian metric	2
A new div-div-conforming symmetric tensor finite element space with applications to the biharmonic equation	2
Kac-Rice formulas and the number of solutions of parametrized systems of polynomial equations	2
Analysis of stochastic probing methods for estimating the trace of functions of sparse symmetric matrices	2
Inexact Gauss-Newton methods with matrix approximation by sampling for nonlinear least-squares and systems	2
A class of refined implicit-explicit Runge-Kutta methods with robust time adaptability and unconditional convergence for the Cahn-Hilliard model	2
The smallest 5-chromatic tournament	2
Polynomial approximation of symmetric functions	2
Sparse trace tests	1
Algebra and geometry of camera resectioning	1
Low regularity estimates of the Lie-Trotter time-splitting Fourier spectral method for the logarithmic Schrödinger equation	1
Kleinian sphere packings, reflection groups, and arithmeticity	1
Dual linear programming bounds for sphere packing via modular forms	1
Stability of finite difference schemes approximation for hyperbolic boundary value problems in an interval	1
Sparse Cholesky factorization for solving nonlinear PDEs via Gaussian processes	1
On eigenvalue gaps of integer matrices	1
Explicit calculations for Sono’s multidimensional sieve of ????₂-numbers	1
An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces	1
On the enumeration of finite ????-algebras	1
Complexity analysis of inexact cubic-regularized primal-dual methods for finding second-order stationary points	1
A distribution function from population genetics statistics using Stirling numbers of the first kind: Asymptotics, inversion and numerical evaluation	1
Toward optimal exponent pairs	1
A simple equilibration procedure leading to polynomial-degree-robust a posteriori error estimators for the curl-curl problem	1
	1
A conforming finite element method for a nonisothermal fluid-membrane interaction	1
Convergence of a stabilized parametric finite element method of the Barrett–Garcke–Nürnberg type for curve shortening flow	1
Convergence proof for the GenCol algorithm in the case of two-marginal optimal transport	1
A first-order Fourier integrator for the nonlinear Schrödinger equation on ???? without loss of regularity	1
ℎ????-version discontinuous Galerkin methods on essentially arbitrarily-shaped elements	1
Accuracy controlled data assimilation for parabolic problems	1
Computing the spectrum and pseudospectrum of infinite-volume operators from local patches	1
Class numbers and representations by ternary quadratic forms with congruence conditions	1
Stable broken ????(????????????????) polynomial extensions and ????-robust a posteriori error estimates by broken patchwise equilibration for the curl–curl problem	1
Explicit bounds for products of primes in AP	1
Computation of a 30750-bit binary field discrete logarithm	1
Unified analysis of finite-size error for periodic Hartree-Fock and second order Møller-Plesset perturbation theory	1
A finite element elasticity complex in three dimensions	1
Positivity of the determinants of the partition function and the overpartition function	1
	1
Construction of polynomial preserving cochain extensions by blending	1
Error estimates for a class of discontinuous Galerkin methods for nonsmooth problems via convex duality relations	1
An algebraic framework for geometrically continuous splines	1
Stability in phase retrieval: Characterizing condition numbers and the optimal vector set	1
Multiplicity of nontrivial zeros of primitive ????-functions via higher-level correlations	1
Algorithms for computing norms and characteristic polynomials on general Drinfeld modules	1
Constructing abelian extensions with prescribed norms	1
New results for witnesses of Robin’s criterion	1
How to reconstruct a planar map from its branching curve	1
Algorithms for fundamental invariants and equivariants of finite groups	1
A variational front-tracking method for multiphase flow with triple junctions	1
Spanning the isogeny class of a power of an elliptic curve	1
Towards dynamical low-rank approximation for neutrino kinetic equations. Part I: Analysis of an idealized relaxation model	1
Computing error bounds for asymptotic expansions of regular P-recursive sequences	1
Modular curves with infinitely many quartic points	1
A fast proximal gradient method and convergence analysis for dynamic mean field planning	1
A generalized Faulhaber inequality, improved bracketing covers, and applications to discrepancy	1
Explicit and efficient error estimation for convex minimization problems	1
Equiangular lines in Euclidean spaces: Dimensions 17 and 18	1
On the inf-sup stability of Crouzeix-Raviart Stokes elements in 3D	1