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.
ANU volume 33 Cover and Back matter.
ANU volume 33 Cover and Front matter.
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.
ANU volume 32 Cover and Back matter.
ANU volume 32 Cover and Front matter.
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.
ANU volume 31 Cover and Front matter.
Asymptotic-preserving schemes for multiscale physical problems.
ANU volume 30 Cover and Back matter.
ANU volume 30 Cover and Front matter.
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.
ANU volume 29 Cover and Back matter.
ANU volume 29 Cover and Front matter.
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.
ANU volume 28 Cover and Back matter.
ANU volume 28 Cover and Front matter.
Solving inverse problems using data-driven models.
Numerical analysis of hemivariational inequalities in contact mechanics.
Derivative-free optimization methods.
Numerical methods for Kohn–Sham density functional theory.