Journal & Article

Mathematics

I/F
# Journal I/F

ACTA NUMERICA

Cut finite element methods. Ensemble Kalman methods: A mean-field perspective. The discontinuous Petrov–Galerkin method. Time parallelization for hyperbolic and parabolic problems. Optimization problems governed by systems of PDEs with uncertainties. Distributionally robust optimization. Acceleration methods for fixed-point iterations. Sparse linear least-squares problems. Splitting methods for differential equations Adaptive finite element methods The geometry of monotone operator splitting methods Numerical analysis of physics-informed neural networks and related models in physics-informed machine learning Optimal experimental design: Formulations and computations The Moment-SOS hierarchy: Applications and related topics Convergence of a regularized finite element discretization of the two-dimensional Monge–Ampère equation Low-rank tensor methods for partial differential equations The virtual element method Floating-point arithmetic Compatible finite element methods for geophysical fluid dynamics Control of port-Hamiltonian differential-algebraic systems and applications Overcoming the timescale barrier in molecular dynamics: Transfer operators, variational principles and machine learning Linear optimization over homogeneous matrix cones Monte Carlo tree search for generating vectors of lattice rules The combination technique applied to functionals Schwarz methods by domain truncation Turnpike in optimal control of PDEs, ResNets, and beyond Reduced basis methods for time-dependent problems Mixed precision algorithms in numerical linear algebra Asymptotic-preserving schemes for multiscale physical problems. Numerical homogenization beyond scale separation. Deep learning: a statistical viewpoint. Fit without fear: remarkable mathematical phenomena of deep learning through the prism of interpolation. Optimal transportation, modelling and numerical simulation. Neural network approximation. Learning physics-based models from data: perspectives from inverse problems and model reduction. Tensors in computations. Modelling and computation of liquid crystals Stable broken H(curl) polynomial extensions and p-robust a posteriori error estimates by broken patchwise equilibration for the curl-curl problem Super-localization of elliptic multiscale problems Optimal transportation, modelling and numerical simulation Numerical methods for nonlocal and fractional models. The numerics of phase retrieval. Computing quantum dynamics in the semiclassical regime. Randomized numerical linear algebra: Foundations and algorithms Fast algorithms using orthogonal polynomials. Essentially non-oscillatory and weighted essentially non-oscillatory schemes Computing Equilibrium Measures with Power Law Kernels Derandomised lattice rules for high dimensional integration The application of sparse grid quadrature in solving stochastic optimisation problems Solving inverse problems using data-driven models.