Mathematics of Computation

Article	Citations
From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows	69
Reducing polynomial degree by one for inner-stage operators affects neither stability type nor accuracy order of the Runge–Kutta discontinuous Galerkin method	44
Super-polynomial accuracy of multidimensional randomized nets using the median-of-means	30
Convergence, finiteness and periodicity of several new algorithms of ????-adic continued fractions	24
Revisiting linearized Bregman iterations under Lipschitz-like convexity condition	22
Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries	21
Approximation of Stochastic Volterra Equations with kernels of completely monotone type	20
Sampling-based methods for multi-block optimization problems over transport polytopes	19
Functional graphs of families of quadratic polynomials	19
Broken-FEEC discretizations and Hodge Laplace problems	19
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling	16
Uniform convergence of an upwind discontinuous Galerkin method for solving scaled discrete-ordinate radiative transfer equations with isotropic scattering	16
Certified dimension reduction in nonlinear Bayesian inverse problems	16
A hybrid iterative method based on MIONet for PDEs: Theory and numerical examples	16
Time discretizations of Wasserstein–Hamiltonian flows	15
Second order monotone finite differences discretization of linear anisotropic differential operators	15
An extended Galerkin analysis in finite element exterior calculus	14
Asymptotic expansions of eigenvalues by both the Crouzeix–Raviart and enriched Crouzeix–Raviart elements	14
Hensel lifting algorithms for quadratic forms	13
Numerical analysis for electromagnetic scattering with nonlinear boundary conditions	12
Learning particle swarming models from data with Gaussian processes	11
Full discretization error analysis of exponential integrators for semilinear wave equations	11
Towards a classification of isolated ????-invariants	11
On bounds for Kummer’s function ratio	11
Error estimates for a class of continuous Bonse-type inequalities	11

An arbitrary-order fully discrete Stokes complex on general polyhedral meshes	10
The minimality of the Georges–Kelmans graph	10
Divisibility conditions on the order of the reductions of algebraic numbers	10
Counting zeros of Dedekind zeta functions	10
Hybridization and postprocessing in finite element exterior calculus	9
Scaled lattice rules for integration on ℝ^{????} achieving higher-order convergence with error analysis in terms of orthogonal projections onto periodic spaces	9
Superconvergence of time invariants for the Gross–Pitaevskii equation	9
A census of cubic fourfolds over ????₂	9
Adaptive symplectic model order reduction of parametric particle-based Vlasov–Poisson equation	9
From the Birch and Swinnerton-Dyer conjecture to Nagao’s conjecture	8
Error estimates for discrete generalized FEMs with locally optimal spectral approximations	8
Component-by-component construction of randomized rank-1 lattice rules achieving almost the optimal randomized error rate	8
	8
On the computation of lattice sums without translational invariance	8
Multiscale scattering in nonlinear Kerr-type media	8
Quadratic points on bielliptic modular curves	8
Theory of shifts, shocks, and the intimate connections to ????²-type A posteriori error analysis of numerical schemes for hyperbolic problems	7
The sharpness condition for constructing a finite element from a superspline	7
A log-log speedup for exponent one-fifth deterministic integer factorisation	7
Gradient descent for convex and smooth noisy optimization	7
Gonality of the modular curve ????₀(????)	7
	7
A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients	7
Near-optimal approximation methods for elliptic PDEs with lognormal coefficients	7
QQMR: A structure preserving quaternion quasi-minimal residual method	7
The Diophantine problem in Thompson’s group ????	7
A posteriori error analysis for approximations of time-fractional subdiffusion problems	7
Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem	6
Tropical tangents for complete intersection curves	6
Refined Selmer equations for the thrice-punctured line in depth two	6
Homomesies on permutations: An analysis of maps and statistics in the FindStat database	6
Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation	6
A Trefftz method with reconstruction of the normal derivative applied to elliptic equations	6
An approximation theory framework for measure-transport sampling algorithms	6
A Newton’s iteration converges quadratically to nonisolated solutions too	6
Finite element approximation for uniformly elliptic linear PDE of second order in nondivergence form	6
Breaking the 4 barrier for the bound of a generating set of the class group	6
An algorithm for identifying eigenvectors exhibiting strong spatial localization	6
Extensible grid sampling for quantile estimation	6
An algorithmic approach to Rupert’s problem	6
On the computation of modular forms on noncongruence subgroups	6
Salem numbers with minimal trace	6
Multiple-scattering frequency-time hybrid solver for the wave equation in interior domains	6
Superconvergence of the Strang splitting when using the Crank-Nicolson scheme for parabolic PDEs with Dirichlet and oblique boundary conditions	6
Recovery of Sobolev functions restricted to iid sampling	6
Locally unitarily invariantizable NEPv and convergence analysis of SCF	5
Convergence acceleration of ensemble Kalman inversion in nonlinear settings	5
A Ramanujan integral and its derivatives: computation and analysis	5
Quinary forms and paramodular forms	5
Coupling conditions for linear hyperbolic relaxation systems in two-scale problems	5

Optimal balanced-norm error estimate of the LDG method for reaction-diffusion problems II: The two-dimensional case with layer-upwind flux	5
Robust error analysis of stabilized linear EMAC-ESAV finite element schemes for the incompressible Navier-Stokes equations	5
Minimization of hypersurfaces	5
On symmetric-conjugate composition methods in the numerical integration of differential equations	5
A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints	5
Linear rates of asymptotic regularity for Halpern-type iterations	5
Explicit Tamagawa numbers for certain algebraic tori over number fields	5
A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations	5
Gaussian quadrature rules for composite highly oscillatory integrals	5
Uniform preconditioners for high order finite element approximations of planar linear elasticity	5
	5
Optimizing the diffusion coefficient of overdamped Langevin dynamics	5
Mixed methods and lower eigenvalue bounds	5
The interior penalty virtual element method for the biharmonic problem	5
Expected decrease for derivative-free algorithms using random subspaces	5
The reciprocal sums of pseudoprimes and Carmichael numbers	5
Minimization of differential equations and algebraic values of ????-functions	4
A kit for linear forms in three logarithms	4
An explicit formula for the extended Gross-Keating datum of a quadratic form	4
	4
Multilevel decompositions and norms for negative order Sobolev spaces	4
Stochastic alternating structure-adapted proximal gradient descent method with variance reduction for nonconvex nonsmooth optimization	4
Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier–Stokes equations	4
A unified structure-preserving parametric finite element method for anisotropic surface diffusion	4
Stochastic algorithms for self-consistent calculations of electronic structures	4
From discrete to continuous: Monochromatic 3-term arithmetic progressions	4
	4
Computing equilibrium measures with power law kernels	4
Explicit Vologodsky integration for hyperelliptic curves	4
Toric eigenvalue methods for solving sparse polynomial systems	4
LSOS: Line-search second-order stochastic optimization methods for nonconvex finite sums	4
Enumeration of left braces with additive group ????₄×????₄×????₄	4
The Adini finite element on locally refined meshes	4
	4
On invariable generation of alternating groups by elements of prime and prime power order	4
	4
Convergence of the boundary integral method for interfacial Stokes flow	4
	4
Faster truncated integer multiplication	4
On the existence of abelian surfaces with everywhere good reduction	4
A randomized lattice rule without component-by-component construction	4
Maximum-norm stability of the finite element method for the Neumann problem in nonconvex polygons with locally refined mesh	4
A discontinuous Galerkin pressure correction scheme for the incompressible Navier–Stokes equations: Stability and convergence	4
Virtual element methods for Biot–Kirchhoff poroelasticity	4
A node-conservative vorticity preserving finite volume method for linear acoustics on unstructured grids	3
	3
Numerical solution of Poisson partial differential equation in high dimension using two-layer neural networks	3
Thermodynamically consistent and positivity-preserving discretization of the thin-film equation with thermal noise	3
Multiscale estimates for the condition number of non-harmonic Fourier matrices	3
A new algorithm for ????-adic continued fractions	3
Adaptive Morley FEM for 2D stationary Navier-Stokes	3
Norm one Tori and Hasse norm principle	3
An algorithm to recognize regular singular Mahler systems	3
A convex dual problem for the rational minimax approximation and Lawson’s iteration	3
Low-regularity exponential-type integrators for the Zakharov system with rough data in all dimensions	3
On the sign changes of ????(????)-????	3
Convergence analysis of Laguerre approximations for analytic functions	3
Time domain boundary integral equations and convolution quadrature for scattering by composite media	3
A sharp discrepancy bound for jittered sampling	3
The stabilization-free HDG method for fluid-structure interaction in a unified mixed formulation on Alfeld splits	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
Stability and convergence analysis of artificial boundary conditions for the Schrödinger equation on a rectangular domain	3
Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity	3
A local discontinuous Galerkin method for the Novikov equation	3
Energy diminishing implicit-explicit Runge–Kutta methods for gradient flows	3
Computing ????-adic L-functions of totally real fields	3
Dynamics of quadratic polynomials and rational points on a curve of genus 4	3
Stochastic nested primal-dual method for nonconvex constrained composition optimization	3
Preparing Hamiltonians for quantum simulation: A computational framework for Cartan decomposition via Lax dynamics	3
Improved computation of fundamental domains for arithmetic Fuchsian groups	3
Finite element de Rham and Stokes complexes in three dimensions	3
An abstract approach to Marcinkiewicz-Zygmund inequalities for approximation and quadrature in modulation spaces	3
Equivalence between Sobolev spaces of first-order dominating mixed smoothness and unanchored ANOVA spaces on ℝ^{????}	3
Construction and analysis of a HDG solution for the total-flux formulation of the convected Helmholtz equation	3
On an extended Filon method for highly oscillatory integrals over a simplex	3
Bielliptic quotient modular curves of ????₀(????)	2
Counterexamples to the ????(????)-adic Littlewood conjecture over small finite fields	2
A new div-div-conforming symmetric tensor finite element space with applications to the biharmonic equation	2
Stability and convergence analysis of a fully discrete semi-implicit scheme for stochastic Allen-Cahn equations with multiplicative noise	2

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