Mathematics of Computation

Article	Citations
Convergence, finiteness and periodicity of several new algorithms of ????-adic continued fractions	50
Super-polynomial accuracy of multidimensional randomized nets using the median-of-means	33
From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows	30
Revisiting linearized Bregman iterations under Lipschitz-like convexity condition	26
Functional graphs of families of quadratic polynomials	25
Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries	23
Sampling-based methods for multi-block optimization problems over transport polytopes	22
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
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling	18
Broken-FEEC discretizations and Hodge Laplace problems	18
A hybrid iterative method based on MIONet for PDEs: Theory and numerical examples	17
Certified dimension reduction in nonlinear Bayesian inverse problems	16
Time discretizations of Wasserstein–Hamiltonian flows	15
Error estimates for a class of continuous Bonse-type inequalities	14
An extended Galerkin analysis in finite element exterior calculus	13
Towards a classification of isolated ????-invariants	13
On bounds for Kummer’s function ratio	12
Learning particle swarming models from data with Gaussian processes	11
Hensel lifting algorithms for quadratic forms	11
Numerical analysis for electromagnetic scattering with nonlinear boundary conditions	11
Scaled lattice rules for integration on ℝ^{????} achieving higher-order convergence with error analysis in terms of orthogonal projections onto periodic spaces	10
A census of cubic fourfolds over ????₂	10
Full discretization error analysis of exponential integrators for semilinear wave equations	10
Divisibility conditions on the order of the reductions of algebraic numbers	10

Quadratic points on bielliptic modular curves	9
Hybridization and postprocessing in finite element exterior calculus	9
From the Birch and Swinnerton-Dyer conjecture to Nagao’s conjecture	9
An arbitrary-order fully discrete Stokes complex on general polyhedral meshes	9
The minimality of the Georges–Kelmans graph	9
Component-by-component construction of randomized rank-1 lattice rules achieving almost the optimal randomized error rate	9
A posteriori error analysis for approximations of time-fractional subdiffusion problems	9
On the computation of lattice sums without translational invariance	9
Adaptive symplectic model order reduction of parametric particle-based Vlasov–Poisson equation	9
Multiscale scattering in nonlinear Kerr-type media	9
Gonality of the modular curve ????₀(????)	8
The sharpness condition for constructing a finite element from a superspline	8
A variational approach to the analysis of the continuous space–time FEM for the wave equation	8
Gradient descent for convex and smooth noisy optimization	8
QQMR: A structure preserving quaternion quasi-minimal residual method	8
Near-optimal approximation methods for elliptic PDEs with lognormal coefficients	8
Bridging the gap: Symplecticity and low regularity in Runge–Kutta resonance-based schemes	8
The Diophantine problem in Thompson’s group ????	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
Salem numbers with minimal trace	7
On the computation of modular forms on noncongruence subgroups	7
An algorithmic approach to Rupert’s problem	7
Tropical tangents for complete intersection curves	7
Error estimates for discrete generalized FEMs with locally optimal spectral approximations	7
Refined Selmer equations for the thrice-punctured line in depth two	7
Finite element approximation for uniformly elliptic linear PDE of second order in nondivergence form	7
	7
A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients	7
An algorithm for identifying eigenvectors exhibiting strong spatial localization	6
The reciprocal sums of pseudoprimes and Carmichael numbers	6
Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem	6
Recovery of Sobolev functions restricted to iid sampling	6
Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation	6
Expected decrease for derivative-free algorithms using random subspaces	6
Shadow line distributions	6
Homomesies on permutations: An analysis of maps and statistics in the FindStat database	6
Extensible grid sampling for quantile estimation	6
A Newton’s iteration converges quadratically to nonisolated solutions too	6
Large-degree asymptotic expansions for the Jacobi and related functions	6
Optimizing the diffusion coefficient of overdamped Langevin dynamics	6
The interior penalty virtual element method for the biharmonic problem	6
Mixed methods and lower eigenvalue bounds	6
A Trefftz method with reconstruction of the normal derivative applied to elliptic equations	6
Breaking the 4 barrier for the bound of a generating set of the class group	6
An approximation theory framework for measure-transport sampling algorithms	6
A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints	6
Multiple-scattering frequency-time hybrid solver for the wave equation in interior domains	6
Explicit Tamagawa numbers for certain algebraic tori over number fields	6
Locally unitarily invariantizable NEPv and convergence analysis of SCF	6

Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier–Stokes equations	5
Uniform preconditioners for high order finite element approximations of planar linear elasticity	5
Toric eigenvalue methods for solving sparse polynomial systems	5
Convergence acceleration of ensemble Kalman inversion in nonlinear settings	5
A Ramanujan integral and its derivatives: computation and analysis	5
On the existence of abelian surfaces with everywhere good reduction	5
A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations	5
Faster truncated integer multiplication	5
	5
	5
LSOS: Line-search second-order stochastic optimization methods for nonconvex finite sums	5
Minimization of hypersurfaces	5
A randomized lattice rule without component-by-component construction	5
Enumeration of left braces with additive group ????₄×????₄×????₄	5
Gaussian quadrature rules for composite highly oscillatory integrals	5
Convergence of the boundary integral method for interfacial Stokes flow	5
Quinary forms and paramodular forms	5
An explicit formula for the extended Gross-Keating datum of a quadratic form	5
On symmetric-conjugate composition methods in the numerical integration of differential equations	5
Optimal balanced-norm error estimate of the LDG method for reaction-diffusion problems II: The two-dimensional case with layer-upwind flux	5
Linear rates of asymptotic regularity for Halpern-type iterations	5
Coupling conditions for linear hyperbolic relaxation systems in two-scale problems	5
	5
Robust error analysis of stabilized linear EMAC-ESAV finite element schemes for the incompressible Navier-Stokes equations	5
A kit for linear forms in three logarithms	4
	4
Explicit Vologodsky integration for hyperelliptic curves	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
Improved computation of fundamental domains for arithmetic Fuchsian groups	4
An abstract approach to Marcinkiewicz-Zygmund inequalities for approximation and quadrature in modulation spaces	4
	4
From discrete to continuous: Monochromatic 3-term arithmetic progressions	4
Stochastic alternating structure-adapted proximal gradient descent method with variance reduction for nonconvex nonsmooth optimization	4
Unconditionally stable consistent splitting schemes for the Navier–Stokes equations with ????⁰ finite elements	4
Maximum-norm stability of the finite element method for the Neumann problem in nonconvex polygons with locally refined mesh	4
Finite element de Rham and Stokes complexes in three dimensions	4
Adaptive Morley FEM for 2D stationary Navier-Stokes	4
Virtual element methods for Biot–Kirchhoff poroelasticity	4
A unified structure-preserving parametric finite element method for anisotropic surface diffusion	4
	4
The Adini finite element on locally refined meshes	4
Computing equilibrium measures with power law kernels	4
Stochastic algorithms for self-consistent calculations of electronic structures	4
Few hamiltonian cycles in graphs with one or two vertex degrees	4
A short basis of the Stickelberger ideal of a cyclotomic field	4
Construction and analysis of a HDG solution for the total-flux formulation of the convected Helmholtz equation	4
Minimization of differential equations and algebraic values of ????-functions	4
Energy diminishing implicit-explicit Runge–Kutta methods for gradient flows	3
Numerical solution of Poisson partial differential equation in high dimension using two-layer neural networks	3
Norm one Tori and Hasse norm principle	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
On the sign changes of ????(????)-????	3
The classification and representations of positive definite ternary quadratic forms of level 4????	3
Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix–fracture interfaces	3
	3
	3
Time domain boundary integral equations and convolution quadrature for scattering by composite media	3
Thermodynamically consistent and positivity-preserving discretization of the thin-film equation with thermal noise	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
The stabilization-free HDG method for fluid-structure interaction in a unified mixed formulation on Alfeld splits	3
Stochastic nested primal-dual method for nonconvex constrained composition optimization	3
Low-regularity exponential-type integrators for the Zakharov system with rough data in all dimensions	3
Convergence analysis of Laguerre approximations for analytic functions	3
Splitting integrators for stochastic Lie–Poisson systems	3
A manifold of planar triangular meshes with complete Riemannian metric	3
Effective homology and periods of complex projective hypersurfaces	3
A node-conservative vorticity preserving finite volume method for linear acoustics on unstructured grids	3
A sharp discrepancy bound for jittered sampling	3
A nonsymmetric approach and a quasi-optimal and robust discretization for the Biot’s model	3
A new algorithm for ????-adic continued fractions	3
Optimal convergence of a fully decoupled finite difference scheme of the Abels–Garcke–Grün model for incompressible two-phase flows with unmatched densities	3
An algorithm to recognize regular singular Mahler systems	3
Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity	3
Preparing Hamiltonians for quantum simulation: A computational framework for Cartan decomposition via Lax dynamics	3
Inf-sup stability implies quasi-orthogonality	3
The Weierstrass–Durand–Kerner root finder is not generally convergent	3
Iterative solution of spatial network models by subspace decomposition	3

On median filters for motion by mean curvature	3
A local discontinuous Galerkin method for the Novikov equation	3
On an extended Filon method for highly oscillatory integrals over a simplex	3
	2
A Prolog assisted search for new simple Lie algebras	2
Sampling recovery in ????₂ and other norms	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
Uniform error estimate of an asymptotic preserving scheme for the Lévy-Fokker-Planck equation	2
Inexact Gauss-Newton methods with matrix approximation by sampling for nonlinear least-squares and systems	2
Delay-dependent elliptic reconstruction and optimal ????^{∞}(????²) a posteriori error estimates for fully discrete delay parabolic problems	2
Double-variable trace maximization for extreme generalized singular quartets of a matrix pair: A geometric method	2
Optimal convergence rates of adaptive WOPSIP from superclose nonconforming FEM	2
Polynomial approximation of symmetric functions	2
New lower bounds for the Schur-Siegel-Smyth trace problem	2
Six-dimensional sphere packing and linear programming	2
On Darmon’s program for the generalized Fermat equation, II	2
	2
Inexact restoration for minimization with inexact evaluation both of the objective function and the constraints	2
Using aromas to search for preserved measures and integrals in Kahan’s method	2
Algorithms for fundamental invariants and equivariants of finite groups	2
Uniform accuracy of implicit-explicit Runge-Kutta (IMEX-RK) schemes for hyperbolic systems with relaxation	2
Stochastic gradient descent for linear inverse problems in Hilbert spaces	2
Convergence analysis of a positivity-preserving numerical scheme for the Cahn-Hilliard-Stokes system with Flory-Huggins energy potential	2
Rational group algebras of generalized strongly monomial groups: Primitive idempotents and units	2
Minimality and uniqueness for decompositions of specific ternary forms	2
A uniformly accurate numerical method for a class of dissipative systems	2
The smallest 5-chromatic tournament	2
Convergence of a regularized finite element discretization of the two-dimensional Monge–Ampère equation	2
Wavenumber-explicit stability and convergence analysis of ℎ???? finite element discretizations of Helmholtz problems in piecewise smooth media	2
Stability and convergence analysis for the implicit-explicit method to the Cahn-Hilliard equation	2
Piecewise rational rotation-minimizing motions via data stream interpolation	2
Bielliptic quotient modular curves of ????₀(????)	2
On Iwasawa ????-invariants for abelian number fields and random matrix heuristics	2
Optimal error estimate of unconditionally positivity-preserving, mass-conserving and energy stable method for the Keller-Segel chemotaxis model	2
Asymptotic repetitive threshold of balanced sequences	2
Unconditional full linear convergence and optimal complexity of adaptive iteratively linearized FEM for nonlinear PDEs	2
Density function of numerical solution of splitting AVF scheme for stochastic Langevin equation	2
Adaptive fast multiplication of ℋ²-matrices	2
On time uniform Wong-Zakai approximation theorems	2
Counterexamples to the ????(????)-adic Littlewood conjecture over small finite fields	2
A two-level preconditioned Helmholtz-Jacobi-Davidson method for the Maxwell eigenvalue problem	2
Algebra and geometry of camera resectioning	2
OEDG: Oscillation-eliminating discontinuous Galerkin method for hyperbolic conservation laws	2
Uniqueness and stability for the solution of a nonlinear least squares problem	2
Sharp estimates for the Möbius function with coprimality restrictions	2
Kac-Rice formulas and the number of solutions of parametrized systems of polynomial equations	2
On the genus of one degree of freedom planar linkages via tropical geometry	2
A class of refined implicit-explicit Runge-Kutta methods with robust time adaptability and unconditional convergence for the Cahn-Hilliard model	2
Stability and convergence analysis of a fully discrete semi-implicit scheme for stochastic Allen-Cahn equations with multiplicative noise	2
A least-squares augmented Lagrangian virtual element method for Reissner-Mindlin plates	2
A new div-div-conforming symmetric tensor finite element space with applications to the biharmonic equation	2
Analysis of stochastic probing methods for estimating the trace of functions of sparse symmetric matrices	2
Approximating viscosity solutions of the Euler system	2
Finite element/holomorphic operator function method for the transmission eigenvalue problem	2
	1
Semiexplicit symplectic integrators for non-separable Hamiltonian systems	1
Pointwise error estimates and local superconvergence of Jacobi expansions	1
Density convergence of a fully discrete finite difference method for stochastic Cahn–Hilliard equation	1
Power detection over number fields	1
Unified analysis of finite-size error for periodic Hartree-Fock and second order Møller-Plesset perturbation theory	1
An algebraic framework for geometrically continuous splines	1
Construction of polynomial preserving cochain extensions by blending	1
Large-scale Monte Carlo simulations for zeros in character tables of symmetric groups	1
Equiangular lines in Euclidean spaces: Dimensions 17 and 18	1
Exact sequences on Worsey–Farin splits	1
Influence of sampling on the convergence rates of greedy algorithms for parameter-dependent random variables	1
Polynomial preserving recovery for the finite volume element methods under simplex meshes	1
A fast proximal gradient method and convergence analysis for dynamic mean field planning	1
A strong order 1.5 boundary preserving discretization scheme for scalar SDEs defined in a domain	1
Long-time error bounds of low-regularity integrators for nonlinear Schrödinger equations	1
High-order splitting finite element methods for the subdiffusion equation with limited smoothing property	1
Machine learning of continuous and discrete variational ODEs with convergence guarantee and uncertainty quantification	1
Low regularity estimates of the Lie-Trotter time-splitting Fourier spectral method for the logarithmic Schrödinger equation	1
Toward optimal exponent pairs	1
Periodic minimum in the count of binomial coefficients not divisible by a prime	1
A conforming finite element method for a nonisothermal fluid-membrane interaction	1
Implicit-explicit relaxation Runge-Kutta methods: construction, analysis and applications to PDEs	1
On the inf-sup stability of Crouzeix-Raviart Stokes elements in 3D	1
	1
Schinzel-type bounds for the Mahler measure on lemniscates	1
Computation of the least primitive root	1
Cyclic isogenies of elliptic curves over fixed quadratic fields	1
Numerical analysis of a first-order computational algorithm for reaction-diffusion equations via the primal-dual hybrid gradient method	1
	1
Analysis of the Feshbach–Schur method for the Fourier spectral discretizations of Schrödinger operators	1
Positivity of the determinants of the partition function and the overpartition function	1
Convergence of a stabilized parametric finite element method of the Barrett–Garcke–Nürnberg type for curve shortening flow	1
	1
Efficient computation of Wiener-Hopf factorization of Markov-modulated Brownian motion	1
Chebyshev varieties	1
Computing linear relations between polynomial roots	1
Low regularity estimates for CutFEM approximations of an elliptic problem with mixed boundary conditions	1
Asymptotically compatible schemes for nonlinear variational models via Gamma-convergence and applications to nonlocal problems	1
Sparse trace tests	1