Mathematics of Computation

Article	Citations
Analysis of adaptive BDF2 scheme for diffusion equations	49
A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system	34
Convergence analysis for a stabilized linear semi-implicit numerical scheme for the nonlocal Cahn–Hilliard equation	34
New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis	32
Error analysis of an L2-type method on graded meshes for a fractional-order parabolic problem	30
Low-regularity integrators for nonlinear Dirac equations	24
Dörfler marking with minimal cardinality is a linear complexity problem	22
Sharper bounds for the Chebyshev function ?(?)	21
Adaptive iterative linearization Galerkin methods for nonlinear problems	17
Uniform error bounds of time-splitting spectral methods for the long-time dynamics of the nonlinear Klein–Gordon equation with weak nonlinearity	16
Implicit-explicit relaxation Runge-Kutta methods: construction, analysis and applications to PDEs	15
Analysis of the shifted boundary method for the Poisson problem in domains with corners	15
Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation	15
Certified dimension reduction in nonlinear Bayesian inverse problems	15
Approximate first-order primal-dual algorithms for saddle point problems	14
An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives	14
Quadratic points on modular curves with infinite Mordell–Weil group	14
Stability of a simple scheme for the approximation of elastic knots and self-avoiding inextensible curves	13
Super-resolution of time-splitting methods for the Dirac equation in the nonrelativistic regime	13
Rate optimality of adaptive finite element methods with respect to overall computational costs	13
Structure-preserving reduced basis methods for Poisson systems	12
The error term in the prime number theorem	12
A weighted randomized Kaczmarz method for solving linear systems	12
A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations	12
Consistency of empirical Bayes and kernel flow for hierarchical parameter estimation	12

Orthogonal polynomials in and on a quadratic surface of revolution	12
On the continuous time limit of the ensemble Kalman filter	11
Accurate estimation of sums over zeros of the Riemann zeta-function	11
Finite elements for divdiv conforming symmetric tensors in three dimensions	11
Function integration, reconstruction and approximation using rank-$1$ lattices	10
Explicit Coleman integration for curves	10
ℎ?-version discontinuous Galerkin methods on essentially arbitrarily-shaped elements	10
Guaranteed a posteriori bounds for eigenvalues and eigenvectors: Multiplicities and clusters	10
A unified framework of SAGE and SONC polynomials and its duality theory	10
Inf-sup stability of the trace $\mathbf {P}_2$–$P_1$ Taylor–Hood elements for surface PDEs	10
A discontinuous Galerkin pressure correction scheme for the incompressible Navier–Stokes equations: Stability and convergence	9
A finite element elasticity complex in three dimensions	9
Analysis of local discontinuous Galerkin methods with generalized numerical fluxes for linearized KdV equations	9
Stability and convergence analysis for the implicit-explicit method to the Cahn-Hilliard equation	9
Stabilized leapfrog based local time-stepping method for the wave equation	9
A symmetric low-regularity integrator for nonlinear Klein-Gordon equation	9
Multilevel decompositions and norms for negative order Sobolev spaces	9
A highly accurate boundary integral method for the elastic obstacle scattering problem	9
Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian	8
On the uniform accuracy of implicit-explicit backward differentiation formulas (IMEX-BDF) for stiff hyperbolic relaxation systems and kinetic equations	8
New analysis of Galerkin-mixed FEMs for incompressible miscible flow in porous media	8
Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem	7
Superconvergence of time invariants for the Gross–Pitaevskii equation	7
Strong convergence and asymptotic stability of explicit numerical schemes for nonlinear stochastic differential equations	7
Convergence analysis of the Fast Subspace Descent method for convex optimization problems	7
Approximation of optimal transport problems with marginal moments constraints	7
On an inverse problem of nonlinear imaging with fractional damping	7
Optimal error estimates of discontinuous Galerkin methods with generalized fluxes for wave equations on unstructured meshes	7
Conforming discrete Gradgrad-complexes in three dimensions	7
Spectral norm of a symmetric tensor and its computation	7
Improved uniform error bounds of the time-splitting methods for the long-time (nonlinear) Schrödinger equation	7
Multiscale scattering in nonlinear Kerr-type media	7
Computing equilibrium measures with power law kernels	7
Block FETI–DP/BDDC preconditioners for mixed isogeometric discretizations of three-dimensional almost incompressible elasticity	7
The Diophantine problem in some metabelian groups	6
Stable broken ?(????) polynomial extensions and ?-robust a posteriori error estimates by broken patchwise equilibration for the curl–curl problem	6
Generalized matrix spectral factorization and quasi-tight framelets with a minimum number of generators	6
Quadratic algorithm to compute the Dynkin type of a positive definite quasi-Cartan matrix	6
A fast algorithm to compute the Ramanujan-Deninger gamma function and some number-theoretic applications	6
Periodic representations for quadratic irrationals in the field of ?-adic numbers	6
Dual linear programming bounds for sphere packing via modular forms	6
Computing square-free polarized abelian varieties over finite fields	6
Super-localization of elliptic multiscale problems	6
Existence of dynamical low-rank approximations to parabolic problems	6
Computing error bounds for asymptotic expansions of regular P-recursive sequences	6
Finite element approximation and preconditioning for anisothermal flow of implicitly-constituted non-Newtonian fluids	6
A new practical framework for the stability analysis of perturbed saddle-point problems and applications	6
The distribution of $k$-free numbers	6
Low Mach number limit of some staggered schemes for compressible barotropic flows	6
The Magnus expansion and post-Lie algebras	6

A first-order Fourier integrator for the nonlinear Schrödinger equation on ? without loss of regularity	5
Sharp error estimates of a spectral Galerkin method for a diffusion-reaction equation with integral fractional Laplacian on a disk	5
Consistency of finite volume approximations to nonlinear hyperbolic balance laws	5
New superconvergent structures developed from the finite volume element method in 1D	5
Convergence acceleration of ensemble Kalman inversion in nonlinear settings	5
Convergence of restricted additive Schwarz with impedance transmission conditions for discretised Helmholtz problems	5
An exponent one-fifth algorithm for deterministic integer factorisation	5
Smoothed analysis for the condition number of structured real polynomial systems	5
Enumeration of set-theoretic solutions to the Yang–Baxter equation	5
Nitsche’s method for Navier–Stokes equations with slip boundary conditions	5
Counting zeros of Dirichlet $L$-functions	5
Semi-explicit discretization schemes for weakly coupled elliptic-parabolic problems	5
Conservativity and weak consistency of a class of staggered finite volume methods for the Euler equations	5
Totally positive algebraic integers with small trace	5
Weak discrete maximum principle of finite element methods in convex polyhedra	5
Energy norm analysis of exactly symmetric mixed finite elements for linear elasticity	5
On symmetric-conjugate composition methods in the numerical integration of differential equations	5
Explicit interval estimates for prime numbers	5
Error estimates for a class of discontinuous Galerkin methods for nonsmooth problems via convex duality relations	4
Unconditional convergence for discretizations of dynamical optimal transport	4
A fully discrete plates complex on polygonal meshes with application to the Kirchhoff–Love problem	4
Stability and error analysis for a second-order approximation of 1D nonlocal Schrödinger equation under DtN-type boundary conditions	4
A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients	4
On the second Lyapunov exponent of some multidimensional continued fraction algorithms	4
On the solvability of the nonlinear problems in an algebraically stabilized finite element method for evolutionary transport-dominated equations	4
Stochastic gradient descent for linear inverse problems in Hilbert spaces	4
Convergence analysis of some tent-based schemes for linear hyperbolic systems	4
On Newman and Littlewood polynomials with a prescribed number of zeros inside the unit disk	4
Quasi-Monte Carlo Bayesian estimation under Besov priors in elliptic inverse problems	4
Accuracy controlled data assimilation for parabolic problems	4
Uniform convergent expansions of integral transforms	4
Stability and convergence analysis of artificial boundary conditions for the Schrödinger equation on a rectangular domain	4
Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier–Stokes equations	4
Numerical analysis for inchworm Monte Carlo method: Sign problem and error growth	4
Density function of numerical solution of splitting AVF scheme for stochastic Langevin equation	4
Local and global phaseless sampling in real spline spaces	4
A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints	4
Convergence and a posteriori error analysis for energy-stable finite element approximations of degenerate parabolic equations	4
A numerical toolkit for multiprojective varieties	4
A time-space tradeoff for Lehman’s deterministic integer factorization method	4
Algorithms for fundamental invariants and equivariants of finite groups	4
Cyclic isogenies of elliptic curves over fixed quadratic fields	4
Quasi-optimal adaptive mixed finite element methods for controlling natural norm errors	4
A two-level preconditioned Helmholtz-Jacobi-Davidson method for the Maxwell eigenvalue problem	4
Fast and stable augmented Levin methods for highly oscillatory and singular integrals	4
Boosted optimal weighted least-squares	3
Interpolation operator on negative Sobolev spaces	3
An algorithmic approach to Chevalley’s Theorem on images of rational morphisms between affine varieties	3
Inf-sup stability implies quasi-orthogonality	3
Class numbers and representations by ternary quadratic forms with congruence conditions	3
Unified analysis of finite-size error for periodic Hartree-Fock and second order Møller-Plesset perturbation theory	3
Embedded desingularization for arithmetic surfaces – toward a parallel implementation	3
Strictly convex entropy and entropy stable schemes for reactive Euler equations	3
Numerical analysis of a method for solving 2D linear isotropic elastodynamics with traction free boundary condition using potentials and finite elements	3
Approximation properties of sum-up rounding in the presence of vanishing constraints	3
Quadratic points on bielliptic modular curves	3
Superelliptic curves with many automorphisms and CM Jacobians	3
Toric eigenvalue methods for solving sparse polynomial systems	3
Numerical methods for biomembranes: Conforming subdivision methods versus non-conforming PL methods	3
On the inf-sup stability of Crouzeix-Raviart Stokes elements in 3D	3
A new algorithm for ?-adic continued fractions	3
Orientable hyperbolic 4-manifolds over the 120-cell	3
Super-polynomial accuracy of one dimensional randomized nets using the median of means	3
On the finiteness and periodicity of the ?-adic Jacobi–Perron algorithm	3
Error estimates at low regularity of splitting schemes for NLS	3
Explicit stabilized multirate method for stiff differential equations	3
Completely uniformly distributed sequences based on de Bruijn sequences	3
Pointwise error estimates and local superconvergence of Jacobi expansions	3
Semiexplicit symplectic integrators for non-separable Hamiltonian systems	3
Robust a posteriori error estimation for parameter-dependent linear elasticity equations	3
Analysis of finite element methods for surface vector-Laplace eigenproblems	3
Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights	3
Equiangular lines in Euclidean spaces: Dimensions 17 and 18	3
Spanning the isogeny class of a power of an elliptic curve	3
Numerical homotopies from Khovanskii bases	3
Avoiding squares over words with lists of size three amongst four symbols	3
Fast multi-precision computation of some Euler products	3
Explicit and efficient error estimation for convex minimization problems	3
Series reversion in Calderón’s problem	3
Convergence analysis of quasi-Monte Carlo sampling for quantile and expected shortfall	3

The interior penalty virtual element method for the biharmonic problem	3
A sharp discrepancy bound for jittered sampling	3
A posteriori error analysis for approximations of time-fractional subdiffusion problems	3
Minimization with differential inequality constraints applied to complete Lyapunov functions	3
Crouzeix-Raviart triangular elements are inf-sup stable	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
LSOS: Line-search second-order stochastic optimization methods for nonconvex finite sums	3
An extended Galerkin analysis in finite element exterior calculus	3
Algorithms for fusion systems with applications to ?-groups of small order	2
Degree bound for toric envelope of a linear algebraic group	2
An iterative decoupled algorithm with unconditional stability for Biot model	2
Finite element de Rham and Stokes complexes in three dimensions	2
Analysis of divergence-free ?¹ conforming FEM with IMEX-SAV scheme for the Navier-Stokes equations at high Reynolds number	2
A Newton-type algorithm for the tensor eigenvalue complementarity problem and some applications	2
Explicit Tamagawa numbers for certain algebraic tori over number fields	2
On computing the density of integers of the form $2^n+p$	2
On the construction of multiresolution analyses associated to general subdivision schemes	2
Two-scale methods for convex envelopes	2
An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces	2
Convergence of the boundary integral method for interfacial Stokes flow	2
On an extended Filon method for highly oscillatory integrals over a simplex	2
A note on devising HDG+ projections on polyhedral elements	2
A monotone numerical flux for quasilinear convection diffusion equation	2
A second-order numerical method for the aggregation equations	2
An algorithmic approach to Rupert’s problem	2
From the Birch and Swinnerton-Dyer conjecture to Nagao’s conjecture	2
Geometry of error amplification in solving the Prony system with near-colliding nodes	2
Uniform convergence of an upwind discontinuous Galerkin method for solving scaled discrete-ordinate radiative transfer equations with isotropic scattering	2
Numerical methods for the deterministic second moment equation of parabolic stochastic PDEs	2
Iterative solution of spatial network models by subspace decomposition	2
Bounds for spherical codes: The Levenshtein framework lifted	2
Computation of a 30750-bit binary field discrete logarithm	2
Adaptive symplectic model order reduction of parametric particle-based Vlasov–Poisson equation	2
Isotropic non-Lipschitz regularization for sparse representations of random fields on the sphere	2
Congruences of elliptic curves arising from nonsurjective mod ? Galois representations	2
On probabilistic convergence rates of stochastic Bernstein polynomials	2
A note on the Monge–Ampère type equations with general source terms	2
The simultaneous conjugacy problem in the symmetric group	2
Computing the nonfree locus of the moduli space of arrangements and Terao’s freeness conjecture	2
Minimality and uniqueness for decompositions of specific ternary forms	2
Time integrators for dispersive equations in the long wave regime	2
A kit for linear forms in three logarithms	2
Splitting integrators for stochastic Lie–Poisson systems	2
A log-log speedup for exponent one-fifth deterministic integer factorisation	2
The Weierstrass–Durand–Kerner root finder is not generally convergent	2
Boolean algebra of two-dimensional continua with arbitrarily complex topology	2
On the reconstruction of functions from values at subsampled quadrature points	2
Component-by-component construction of randomized rank-1 lattice rules achieving almost the optimal randomized error rate	2
Recovery of Sobolev functions restricted to iid sampling	2
Scaled lattice rules for integration on ℝ^{?} achieving higher-order convergence with error analysis in terms of orthogonal projections onto periodic spaces	2
A range characterization of the single-quadrant ADRT	1
Revisiting linearized Bregman iterations under Lipschitz-like convexity condition	1
The equilateral small octagon of maximal width	1
A classification of ECM-friendly families of elliptic curves using modular curves	1
A new class of entropy stable schemes for hyperbolic systems: Finite element methods	1
On bounds for Kummer’s function ratio	1
A uniformly accurate numerical method for a class of dissipative systems	1
Bielliptic quotient modular curves of ?₀(?)	1
A manifold of planar triangular meshes with complete Riemannian metric	1
Computing GIT-fans with symmetry and the Mori chamber decomposition of \overline{?}_{0,6}	1
ℚ-Curves, Hecke characters and some Diophantine equations	1
Approximation of Stochastic Volterra Equations with kernels of completely monotone type	1
Exact sequences on Worsey–Farin splits	1
Convergence analysis of Laguerre approximations for analytic functions	1
On Iwasawa ?-invariants for abelian number fields and random matrix heuristics	1
Analysis of the Feshbach–Schur method for the Fourier spectral discretizations of Schrödinger operators	1
Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm	1
Computing isomorphisms between lattices	1
Computing ?-adic L-functions of totally real fields	1
Inexact restoration for minimization with inexact evaluation both of the objective function and the constraints	1
Sparse trace tests	1
Asymptotic expansions of eigenvalues by both the Crouzeix–Raviart and enriched Crouzeix–Raviart elements	1
Abel Maps for nodal curves via tropical geometry	1
A generalized Faulhaber inequality, improved bracketing covers, and applications to discrepancy	1
Convergence of the kinetic hydrostatic reconstruction scheme for the Saint Venant system with topography	1
Convergence to weak solutions of a space-time hybridized discontinuous Galerkin method for the incompressible Navier–Stokes equations	1
Primes that become composite after changing an arbitrary digit	1
Jacobi-type algorithms for homogeneous polynomial optimization on Stiefel manifolds with applications to tensor approximations	1
Asymptotic repetitive threshold of balanced sequences	1
Enumeration of left braces with additive group ?₄×?₄×?₄	1
Optimal transportation for electrical impedance tomography	1
Why large time-stepping methods for the Cahn-Hilliard equation is stable	1
Corrigendum to “Convergence of adaptive, discontinuous Galerkin methods”	1
Explicit Vologodsky integration for hyperelliptic curves	1
	1
Hensel lifting algorithms for quadratic forms	1
Kac-Rice formulas and the number of solutions of parametrized systems of polynomial equations	1
A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with a general mobility	1
Positivity of the determinants of the partition function and the overpartition function	1
Coupler curves of moving graphs and counting realizations of rigid graphs	1
A nonsymmetric approach and a quasi-optimal and robust discretization for the Biot’s model	1
Primes in arithmetic progressions and semidefinite programming	1
Constructing abelian extensions with prescribed norms	1
Convergence of a regularized finite element discretization of the two-dimensional Monge–Ampère equation	1