On a quality measure for interval inclusions Siegfried M. RumpTakeshi Ogita OriginalPaper Open access 13 May 2024 Article: 22
Multilevel local defect-correction method for the non-selfadjoint Steklov eigenvalue problems Fei XuBingyi WangManting Xie OriginalPaper 09 April 2024 Article: 21
Semi-explicit integration of second order for weakly coupled poroelasticity R. AltmannR. MaierB. Unger OriginalPaper Open access 07 April 2024 Article: 20
Dynamical low-rank approximation of the Vlasov–Poisson equation with piecewise linear spatial boundary André UschmajewAndreas Zeiser OriginalPaper Open access 07 April 2024 Article: 19
Learning the flux and diffusion function for degenerate convection-diffusion equations using different types of observations Qing LiSteinar Evje OriginalPaper Open access 30 March 2024 Article: 18
Accurate Horner methods in real and complex floating-point arithmetic Thomas R. CameronStef Graillat OriginalPaper 27 March 2024 Article: 17
Highly localized RBF Lagrange functions for finite difference methods on spheres W. ErbT. HangelbroekJ. D. Ward OriginalPaper 15 March 2024 Article: 16
Bounded perturbations resilient iterative methods for linear systems and least squares problems: operator-based approaches, analysis, and performance evaluation Mokhtar AbbasiTouraj Nikazad OriginalPaper 05 March 2024 Article: 15
The variable two-step BDF method for parabolic equations Georgios AkrivisMinghua ChenZhimin Zhang OriginalPaper Open access 01 March 2024 Article: 14
A unified immersed finite element error analysis for one-dimensional interface problems Slimane AdjeridTao LinHaroun Meghaichi OriginalPaper Open access 29 February 2024 Article: 13
Admissible subspaces and the subspace iteration method Pedro Massey OriginalPaper 28 February 2024 Article: 12
Singularity swap quadrature for nearly singular line integrals on closed curves in two dimensions Ludvig af Klinteberg OriginalPaper Open access 27 February 2024 Article: 11
Structured eigenvalue backward errors for rational matrix functions with symmetry structures Anshul PrajapatiPunit Sharma OriginalPaper 17 February 2024 Article: 10
Convergence and superconvergence of a fractional collocation method for weakly singular Volterra integro-differential equations Zheng MaMartin StynesChengming Huang OriginalPaper 12 February 2024 Article: 9
A convolution quadrature using derivatives and its application Hao RenJunjie MaHuilan Liu OriginalPaper 09 February 2024 Article: 8
A posteriori error estimates for a dual finite element method for singularly perturbed reaction–diffusion problems JaEun KuMartin Stynes OriginalPaper 05 February 2024 Article: 7
Improved uniform error bounds on parareal exponential algorithm for highly oscillatory systems Bin WangYaolin Jiang OriginalPaper 31 January 2024 Article: 6
On the stability radius for linear time-delay systems Alexander MalyshevMiloud Sadkane OriginalPaper 30 January 2024 Article: 5
Incremental algorithms for truncated higher-order singular value decompositions Chao ZengMichael K. NgTai-Xiang Jiang OriginalPaper 08 January 2024 Article: 4
A regularization–correction approach for adapting subdivision schemes to the presence of discontinuities Sergio AmatDavid LevinDionisio F. Yáñez OriginalPaper Open access 04 January 2024 Article: 3
Well-posedness and finite element approximation of mixed dimensional partial differential equations Fredrik HellmanAxel MålqvistMalin Mosquera OriginalPaper Open access 29 December 2023 Article: 2
Randomized Kaczmarz algorithm with averaging and block projection Zeyi ZhangDong Shen OriginalPaper 12 December 2023 Article: 1
Positivity-preserving truncated Euler–Maruyama method for generalised Ait-Sahalia-type interest model Shounian DengChen FeiXuerong Mao OriginalPaper 27 November 2023 Article: 59
Symmetric-conjugate splitting methods for linear unitary problems J. BernierS. BlanesA. Escorihuela-Tomàs OriginalPaper Open access 10 November 2023 Article: 58
A flexible short recurrence Krylov subspace method for matrices arising in the time integration of port-Hamiltonian systems and ODEs/DAEs with a dissipative Hamiltonian Malak DiabAndreas FrommerKarsten Kahl OriginalPaper Open access 10 November 2023 Article: 57
An hp-version interior penalty discontinuous Galerkin method for the quad-curl eigenvalue problem Jiayu HanZhimin Zhang OriginalPaper 10 November 2023 Article: 56
New structure-preserving mixed finite element method for the stationary MHD equations with magnetic-current formulation Xiaodi ZhangShitian Dong OriginalPaper 01 November 2023 Article: 55
A note on approximate Jacobians of implicit Runge–Kutta methods and convergence of modified Newton iterations Laurent O. JayOlga Sokratova OriginalPaper 01 November 2023 Article: 54
Gaussian rule for integrals involving Bessel functions Eleonora DenichPaolo Novati OriginalPaper 01 November 2023 Article: 53
Superconvergence and accuracy enhancement of discontinuous Galerkin solutions for Vlasov–Maxwell equations Andrés Galindo-OlarteJuntao HuangYingda Cheng OriginalPaper 13 October 2023 Article: 52
Galerkin–Chebyshev approximation of Gaussian random fields on compact Riemannian manifolds Annika LangMike Pereira OriginalPaper Open access 11 October 2023 Article: 51
Deep neural networks on diffeomorphism groups for optimal shape reparametrization Elena CelledoniHelge GlöcknerAlexander Schmeding OriginalPaper 27 September 2023 Article: 50
On the Forsythe conjecture Vance FaberJörg LiesenPetr Tichý OriginalPaper Open access 27 September 2023 Article: 49
Paige’s Algorithm for solving a class of tensor least squares problem Xue-Feng DuanYong-Shen ZhangChun-Mei Li OriginalPaper 20 September 2023 Article: 48
A stabilized finite element method on nonaffine grids for time-harmonic Maxwell’s equations Zhijie DuHuoyuan Duan OriginalPaper 19 September 2023 Article: 47
Stabilized low-order mixed finite element methods for a Navier-Stokes hemivariational inequality Weimin HanFeifei JingYuan Yao OriginalPaper 16 September 2023 Article: 46
Resolving entropy growth from iterative methods Viktor LindersHendrik RanochaPhilipp Birken OriginalPaper Open access 15 September 2023 Article: 45
Parallel line identification for line-implicit-solvers Arne Rempke OriginalPaper Open access 09 September 2023 Article: 44
Strong convergence rates of an explicit scheme for stochastic Cahn–Hilliard equation with additive noise Meng CaiRuisheng QiXiaojie Wang OriginalPaper 04 September 2023 Article: 43
Analysis and preconditioning of parameter-robust finite element methods for Biot’s consolidation model Jeonghun J. Lee OriginalPaper 25 July 2023 Article: 42
Decomposition and conformal mapping techniques for the quadrature of nearly singular integrals William MitchellAbbie NatkinChenxin Zhu OriginalPaper Open access 24 July 2023 Article: 41
Backward Euler method for stochastic differential equations with non-Lipschitz coefficients driven by fractional Brownian motion Hao ZhouYaozhong HuYanghui Liu OriginalPaper 07 July 2023 Article: 40
Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations Hong-lin LiaoTao TangTao Zhou OriginalPaper 03 July 2023 Article: 39
Multilevel Monte Carlo using approximate distributions of the CIR process Chao Zheng OriginalPaper 05 June 2023 Article: 38
Analysis and simulation of a variational stabilization for the Helmholtz equation with noisy Cauchy data Vo Anh KhoaNguyen Dat ThucAjith Gunaratne OriginalPaper 02 June 2023 Article: 37
A fast randomized algorithm for computing an approximate null space Taejun ParkYuji Nakatsukasa OriginalPaper Open access 25 May 2023 Article: 36
Fully discrete heterogeneous multiscale method for parabolic problems with multiple spatial and temporal scales Daniel EckhardtBarbara Verfürth OriginalPaper Open access 25 May 2023 Article: 35
Asymptotically exact a posteriori error estimates for the BDM finite element approximation of mixed Laplace eigenvalue problems Philip L. Lederer OriginalPaper Open access 22 May 2023 Article: 34
Strong convergence of an adaptive time-stepping Milstein method for SDEs with monotone coefficients Cónall KellyGabriel J. LordFandi Sun OriginalPaper Open access 22 May 2023 Article: 33
Monte Carlo integration of \(C^r\) functions with adaptive variance reduction: an asymptotic analysis Leszek PlaskotaPaweł PrzybyłowiczŁukasz Stȩpień OriginalPaper Open access 22 May 2023 Article: 32
