Mathematics of Computation

Article	Citations
Analysis of adaptive BDF2 scheme for diffusion equations	65
New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis	44
A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system	42
Implicit-explicit relaxation Runge-Kutta methods: construction, analysis and applications to PDEs	25
Sharper bounds for the Chebyshev function ?(?)	24
Uniform error bounds of time-splitting spectral methods for the long-time dynamics of the nonlinear Klein–Gordon equation with weak nonlinearity	20
Certified dimension reduction in nonlinear Bayesian inverse problems	20
Analysis of the shifted boundary method for the Poisson problem in domains with corners	19
Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation	18
A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations	18
Improved uniform error bounds of the time-splitting methods for the long-time (nonlinear) Schrödinger equation	18
Structure-preserving reduced basis methods for Poisson systems	16
ℎ?-version discontinuous Galerkin methods on essentially arbitrarily-shaped elements	15
Approximate first-order primal-dual algorithms for saddle point problems	15
Finite elements for divdiv conforming symmetric tensors in three dimensions	14
A finite element elasticity complex in three dimensions	14
Rate optimality of adaptive finite element methods with respect to overall computational costs	14
Super-localization of elliptic multiscale problems	14
A discontinuous Galerkin pressure correction scheme for the incompressible Navier–Stokes equations: Stability and convergence	13
Stability of a simple scheme for the approximation of elastic knots and self-avoiding inextensible curves	13
Consistency of empirical Bayes and kernel flow for hierarchical parameter estimation	13
A weighted randomized Kaczmarz method for solving linear systems	13
Accurate estimation of sums over zeros of the Riemann zeta-function	12
Function integration, reconstruction and approximation using rank-$1$ lattices	12
The error term in the prime number theorem	12

Conforming discrete Gradgrad-complexes in three dimensions	11
Error estimates at low regularity of splitting schemes for NLS	11
A symmetric low-regularity integrator for nonlinear Klein-Gordon equation	11
A unified framework of SAGE and SONC polynomials and its duality theory	11
A highly accurate boundary integral method for the elastic obstacle scattering problem	11
Inf-sup stability of the trace $\mathbf {P}_2$–$P_1$ Taylor–Hood elements for surface PDEs	11
Stabilized leapfrog based local time-stepping method for the wave equation	11
Nitsche’s method for Navier–Stokes equations with slip boundary conditions	10
Multilevel decompositions and norms for negative order Sobolev spaces	10
On an inverse problem of nonlinear imaging with fractional damping	10
Superconvergence of time invariants for the Gross–Pitaevskii equation	10
Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian	10
Low Mach number limit of some staggered schemes for compressible barotropic flows	10
On the uniform accuracy of implicit-explicit backward differentiation formulas (IMEX-BDF) for stiff hyperbolic relaxation systems and kinetic equations	9
Computing square-free polarized abelian varieties over finite fields	9
Stability and convergence analysis for the implicit-explicit method to the Cahn-Hilliard equation	9
A fast algorithm to compute the Ramanujan-Deninger gamma function and some number-theoretic applications	8
Stable broken ?(????) polynomial extensions and ?-robust a posteriori error estimates by broken patchwise equilibration for the curl–curl problem	8
A new practical framework for the stability analysis of perturbed saddle-point problems and applications	8
Strong convergence and asymptotic stability of explicit numerical schemes for nonlinear stochastic differential equations	8
Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem	8
Existence of dynamical low-rank approximations to parabolic problems	8
Optimal error estimates of discontinuous Galerkin methods with generalized fluxes for wave equations on unstructured meshes	7
A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with a general mobility	7
A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints	7
Multiscale scattering in nonlinear Kerr-type media	7
Computing equilibrium measures with power law kernels	7
The interior penalty virtual element method for the biharmonic problem	7
Conservativity and weak consistency of a class of staggered finite volume methods for the Euler equations	7
Totally positive algebraic integers with small trace	7
Block FETI–DP/BDDC preconditioners for mixed isogeometric discretizations of three-dimensional almost incompressible elasticity	7
Finite element approximation and preconditioning for anisothermal flow of implicitly-constituted non-Newtonian fluids	7
Quasi-Monte Carlo Bayesian estimation under Besov priors in elliptic inverse problems	7
Super-polynomial accuracy of one dimensional randomized nets using the median of means	6
Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights	6
Fast and stable augmented Levin methods for highly oscillatory and singular integrals	6
A two-level preconditioned Helmholtz-Jacobi-Davidson method for the Maxwell eigenvalue problem	6
Semi-explicit discretization schemes for weakly coupled elliptic-parabolic problems	6
Explicit interval estimates for prime numbers	6
Numerical homotopies from Khovanskii bases	6
A first-order Fourier integrator for the nonlinear Schrödinger equation on ? without loss of regularity	6
Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier–Stokes equations	6
Error estimates for a class of discontinuous Galerkin methods for nonsmooth problems via convex duality relations	6
Uniform convergence of an upwind discontinuous Galerkin method for solving scaled discrete-ordinate radiative transfer equations with isotropic scattering	6
Periodic representations for quadratic irrationals in the field of ?-adic numbers	6
A fully discrete plates complex on polygonal meshes with application to the Kirchhoff–Love problem	6
The distribution of $k$-free numbers	6
Sharp error estimates of a spectral Galerkin method for a diffusion-reaction equation with integral fractional Laplacian on a disk	6
On symmetric-conjugate composition methods in the numerical integration of differential equations	6
Computing error bounds for asymptotic expansions of regular P-recursive sequences	6

Dual linear programming bounds for sphere packing via modular forms	6
Convergence of restricted additive Schwarz with impedance transmission conditions for discretised Helmholtz problems	5
Minimization with differential inequality constraints applied to complete Lyapunov functions	5
On the solvability of the nonlinear problems in an algebraically stabilized finite element method for evolutionary transport-dominated equations	5
Quasi-optimal adaptive mixed finite element methods for controlling natural norm errors	5
Numerical analysis for inchworm Monte Carlo method: Sign problem and error growth	5
Local and global phaseless sampling in real spline spaces	5
Density function of numerical solution of splitting AVF scheme for stochastic Langevin equation	5
Smoothed analysis for the condition number of structured real polynomial systems	5
Explicit and efficient error estimation for convex minimization problems	5
A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients	5
Stability and convergence analysis of artificial boundary conditions for the Schrödinger equation on a rectangular domain	5
Component-by-component construction of randomized rank-1 lattice rules achieving almost the optimal randomized error rate	5
Algorithms for fusion systems with applications to ?-groups of small order	5
Enumeration of set-theoretic solutions to the Yang–Baxter equation	5
New superconvergent structures developed from the finite volume element method in 1D	5
Counting zeros of Dirichlet $L$-functions	5
Series reversion in Calderón’s problem	5
Convergence and a posteriori error analysis for energy-stable finite element approximations of degenerate parabolic equations	5
A posteriori error analysis for approximations of time-fractional subdiffusion problems	5
On the second Lyapunov exponent of some multidimensional continued fraction algorithms	5
An exponent one-fifth algorithm for deterministic integer factorisation	5
LSOS: Line-search second-order stochastic optimization methods for nonconvex finite sums	5
Numerical methods for biomembranes: Conforming subdivision methods versus non-conforming PL methods	5
Energy norm analysis of exactly symmetric mixed finite elements for linear elasticity	5
Convergence acceleration of ensemble Kalman inversion in nonlinear settings	5
Analysis of divergence-free ?¹ conforming FEM with IMEX-SAV scheme for the Navier-Stokes equations at high Reynolds number	5
Class numbers and representations by ternary quadratic forms with congruence conditions	4
Finite element de Rham and Stokes complexes in three dimensions	4
Cyclic isogenies of elliptic curves over fixed quadratic fields	4
Semiexplicit symplectic integrators for non-separable Hamiltonian systems	4
Adaptive symplectic model order reduction of parametric particle-based Vlasov–Poisson equation	4
Toric eigenvalue methods for solving sparse polynomial systems	4
On the inf-sup stability of Crouzeix-Raviart Stokes elements in 3D	4
Iterative solution of spatial network models by subspace decomposition	4
Interpolation operator on negative Sobolev spaces	4
Stability and error analysis for a second-order approximation of 1D nonlocal Schrödinger equation under DtN-type boundary conditions	4
Strengthening the Baillie-PSW primality test	4
Minimal residual methods in negative or fractional Sobolev norms	4
From the Birch and Swinnerton-Dyer conjecture to Nagao’s conjecture	4
A kit for linear forms in three logarithms	4
Scaled lattice rules for integration on ℝ^{?} achieving higher-order convergence with error analysis in terms of orthogonal projections onto periodic spaces	4
Stochastic gradient descent for linear inverse problems in Hilbert spaces	4
Unified analysis of finite-size error for periodic Hartree-Fock and second order Møller-Plesset perturbation theory	4
An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces	4
On the reconstruction of functions from values at subsampled quadrature points	4
Accuracy controlled data assimilation for parabolic problems	4
Long-time error bounds of low-regularity integrators for nonlinear Schrödinger equations	4
Algorithms for fundamental invariants and equivariants of finite groups	4
Uniform convergent expansions of integral transforms	4
Pointwise error estimates and local superconvergence of Jacobi expansions	4
Quadratic points on bielliptic modular curves	4
Convergence analysis of some tent-based schemes for linear hyperbolic systems	4
Inf-sup stability implies quasi-orthogonality	4
Avoiding squares over words with lists of size three amongst four symbols	4
Approximation of Stochastic Volterra Equations with kernels of completely monotone type	4
A time-space tradeoff for Lehman’s deterministic integer factorization method	4
Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity	3
A new algorithm for ?-adic continued fractions	3
Equivalence between Sobolev spaces of first-order dominating mixed smoothness and unanchored ANOVA spaces on ℝ^{?}	3
Minimality and uniqueness for decompositions of specific ternary forms	3
Approximation properties of sum-up rounding in the presence of vanishing constraints	3
Crouzeix-Raviart triangular elements are inf-sup stable	3
Superelliptic curves with many automorphisms and CM Jacobians	3
An extended Galerkin analysis in finite element exterior calculus	3
Orientable hyperbolic 4-manifolds over the 120-cell	3
A manifold of planar triangular meshes with complete Riemannian metric	3
Analysis of weakly symmetric mixed finite elements for elasticity	3
Subresultants and the Shape Lemma	3
Fast multi-precision computation of some Euler products	3
Explicit stabilized multirate method for stiff differential equations	3
Time integrators for dispersive equations in the long wave regime	3
Strictly convex entropy and entropy stable schemes for reactive Euler equations	3
Maximum-norm stability of the finite element method for the Neumann problem in nonconvex polygons with locally refined mesh	3
Counting zeros of Dedekind zeta functions	3
Spanning the isogeny class of a power of an elliptic curve	3
On the construction of multiresolution analyses associated to general subdivision schemes	3
A Newton’s iteration converges quadratically to nonisolated solutions too	3
Recovery of Sobolev functions restricted to iid sampling	3
A sharp discrepancy bound for jittered sampling	3

An algorithmic approach to Chevalley’s Theorem on images of rational morphisms between affine varieties	3
Boosted optimal weighted least-squares	3
The simultaneous conjugacy problem in the symmetric group	3
Numerical analysis of a method for solving 2D linear isotropic elastodynamics with traction free boundary condition using potentials and finite elements	3
Robust a posteriori error estimation for parameter-dependent linear elasticity equations	3
Analysis of finite element methods for surface vector-Laplace eigenproblems	3
Equiangular lines in Euclidean spaces: Dimensions 17 and 18	3
Sparse trace tests	3
Positivity of the determinants of the partition function and the overpartition function	3
Computing the nonfree locus of the moduli space of arrangements and Terao’s freeness conjecture	3
Bielliptic quotient modular curves of ?₀(?)	2
An iterative decoupled algorithm with unconditional stability for Biot model	2
Error estimates of a finite volume method for the compressible Navier–Stokes–Fourier system	2
Explicit Tamagawa numbers for certain algebraic tori over number fields	2
Using aromas to search for preserved measures and integrals in Kahan’s method	2
Mixed methods and lower eigenvalue bounds	2
Isogenous hyperelliptic and non-hyperelliptic Jacobians with maximal complex multiplication	2
Optimal transportation for electrical impedance tomography	2
Asymptotic repetitive threshold of balanced sequences	2
On an extended Filon method for highly oscillatory integrals over a simplex	2
Two-scale methods for convex envelopes	2
On bounds for Kummer’s function ratio	2
A monotone numerical flux for quasilinear convection diffusion equation	2
Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness	2
Gonality of the modular curve ?₀(?)	2
Computation of a 30750-bit binary field discrete logarithm	2
On a structure-preserving numerical method for fractional Fokker-Planck equations	2
The Weierstrass–Durand–Kerner root finder is not generally convergent	2
A log-log speedup for exponent one-fifth deterministic integer factorisation	2
Embedded desingularization for arithmetic surfaces – toward a parallel implementation	2
On Iwasawa ?-invariants for abelian number fields and random matrix heuristics	2
Convergence of the boundary integral method for interfacial Stokes flow	2
Computing quadratic points on modular curves ?₀(?)	2
A simple equilibration procedure leading to polynomial-degree-robust a posteriori error estimators for the curl-curl problem	2
An algorithmic approach to Rupert’s problem	2
Degree bound for toric envelope of a linear algebraic group	2
Convergence of the kinetic hydrostatic reconstruction scheme for the Saint Venant system with topography	2
Minimization of differential equations and algebraic values of ?-functions	2
Splitting integrators for stochastic Lie–Poisson systems	2
Bounds for spherical codes: The Levenshtein framework lifted	2
Isotropic non-Lipschitz regularization for sparse representations of random fields on the sphere	2
On discrete ground states of rotating Bose–Einstein condensates	2
Revisiting linearized Bregman iterations under Lipschitz-like convexity condition	2
Congruences of elliptic curves arising from nonsurjective mod ? Galois representations	2
On probabilistic convergence rates of stochastic Bernstein polynomials	2
Effective bounds for Huber’s constant and Faltings’s delta function	1
Enumeration of left braces with additive group ?₄×?₄×?₄	1
Jacobi-type algorithms for homogeneous polynomial optimization on Stiefel manifolds with applications to tensor approximations	1
Analysis of the Feshbach–Schur method for the Fourier spectral discretizations of Schrödinger operators	1
Corrigendum to “Convergence of adaptive, discontinuous Galerkin methods”	1
A new div-div-conforming symmetric tensor finite element space with applications to the biharmonic equation	1
Constructing abelian extensions with prescribed norms	1
	1
A uniformly accurate numerical method for a class of dissipative systems	1
Asymptotic expansions of eigenvalues by both the Crouzeix–Raviart and enriched Crouzeix–Raviart elements	1
Effective homology and periods of complex projective hypersurfaces	1
Sketched and truncated polynomial Krylov subspace methods: Matrix Sylvester equations	1
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling	1
Inexact restoration for minimization with inexact evaluation both of the objective function and the constraints	1
Coupler curves of moving graphs and counting realizations of rigid graphs	1
Convergence to weak solutions of a space-time hybridized discontinuous Galerkin method for the incompressible Navier–Stokes equations	1
Why large time-stepping methods for the Cahn-Hilliard equation is stable	1
A classification of genus 0 modular curves with rational points	1
A range characterization of the single-quadrant ADRT	1
Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation	1
Explicit Vologodsky integration for hyperelliptic curves	1
A classification of ECM-friendly families of elliptic curves using modular curves	1
Learning particle swarming models from data with Gaussian processes	1
On the ?-analogue of the Pair Correlation Conjecture via Fourier optimization	1
Convergence analysis of Laguerre approximations for analytic functions	1
Uniform preconditioners for high order finite element approximations of planar linear elasticity	1
Kac-Rice formulas and the number of solutions of parametrized systems of polynomial equations	1
Gaussian quadrature rules for composite highly oscillatory integrals	1
Sparse Cholesky factorization for solving nonlinear PDEs via Gaussian processes	1
On the Diophantine equation ?_{?}-?^{?}=?	1
Stability and convergence analysis of a fully discrete semi-implicit scheme for stochastic Allen-Cahn equations with multiplicative noise	1
Convergence of a regularized finite element discretization of the two-dimensional Monge–Ampère equation	1
A rank-two relaxed parallel splitting version of the augmented Lagrangian method with step size in (0,2) for separable convex programming	1
A nonsymmetric approach and a quasi-optimal and robust discretization for the Biot’s model	1
Density convergence of a fully discrete finite difference method for stochastic Cahn–Hilliard equation	1
Convergence analysis of the Halpern iteration with adaptive anchoring parameters	1
The equilateral small octagon of maximal width	1
Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm	1
A new class of entropy stable schemes for hyperbolic systems: Finite element methods	1
Computing ?-adic L-functions of totally real fields	1
Regularity and numerical approximation of fractional elliptic differential equations on compact metric graphs	1
Hensel lifting algorithms for quadratic forms	1
The smallest 5-chromatic tournament	1
OEDG: Oscillation-eliminating discontinuous Galerkin method for hyperbolic conservation laws	1
Modular curves with infinitely many quartic points	1
A generalized Faulhaber inequality, improved bracketing covers, and applications to discrepancy	1
Kissing number in non-Euclidean spaces of constant sectional curvature	1
Abel Maps for nodal curves via tropical geometry	1
ℚ-Curves, Hecke characters and some Diophantine equations	1
Polynomial approximation of symmetric functions	1