IMA Journal of Numerical Analysis

Regularized black-box optimization algorithms for least-squares problems Open Access

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Error analysis of an implicit–explicit time discretization scheme for semilinear wave equations with application to multiscale problems Get access

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Employing nonresonant step sizes for time integration of highly oscillatory nonlinear Dirac equations Get access

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A posteriori error estimates for the generalized Burgers–Huxley equation with weakly singular kernels Get access

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Variationally correct neural residual regression for parametric PDEs: on the viability of controlled accuracy Get access

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Maximal regularity of evolving FEMs for parabolic equations on an evolving surface Get access

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Robust time-discretization and linearization schemes for singular and degenerate evolution systems modelling biofilm growth Open Access

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Combined DG–CG finite element method for the Westervelt equation Open Access

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Asymptotic-preserving finite difference method for partially dissipative hyperbolic systems Get access

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A bundle-trust method via gradient sampling technique for nonsmooth optimization using exact and inexact gradients Get access

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A Lagrange multiplier formulation for the fully dynamic Navier–Stokes–Biot system Get access

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An ODE characterization of multi-marginal optimal transport with pairwise cost functions Get access

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Maximum-norm estimates of an IP-HDG method for parabolic problems on general polyhedral meshes Get access

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Discretization error analysis for a radially symmetric harmonic map heat flow problem Get access

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Numerical approximation of the stochastic Cahn–Hilliard equation with space–time white noise near the sharp-interface limit Get access

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Velocity-vorticity-pressure mixed formulation for the Kelvin–Voigt–Brinkman–Forchheimer equations Get access

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Deep-layer limit and stability analysis of the basic forward–backward-splitting induced network (I): feed-forward systems Get access

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A new T-compatibility condition and its application to the discretization of the damped time-harmonic Galbrun’s equation Open Access

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Optimal convergence in finite element semidiscrete error analysis of the Doyle–Fuller–Newman model beyond one dimension with a novel projection operator Open Access

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