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Volume 1, 1992Ronald A. DeVore and Bradley J. Lucier Wavelets . . . . . . . . . . . . . . . . 1--56 Roland W. Freund and Gene H. Golub and Noël M. Nachtigal Iterative Solution of Linear Systems . . 57--100 Heinz-Otto Kreiss Problems with different time scales . . 101--139 Roswitha März Numerical methods for differential algebraic equations . . . . . . . . . . 141--198 Jorge Nocedal Theory of Algorithms for Unconstrained Optimization . . . . . . . . . . . . . . 199--242 J. M. Sanz-Serna Symplectic integrators for Hamiltonian problems: an overview . . . . . . . . . 243--286 Ian H. Sloan Error analysis of boundary integral methods . . . . . . . . . . . . . . . . 287--339 Margaret H. Wright Interior Methods for Constrained Optimization . . . . . . . . . . . . . . 341--407 Anonymous ANU volume 1 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f6 Anonymous ANU volume 1 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b1 Anonymous Preface . . . . . . . . . . . . . . . . i--i
Eugene L. Allgower and Kurt Georg Continuation and path following . . . . 1--64 C. de Boor Multivariate piecewise polynomials . . . 65--109 James W. Demmel and Michael T. Heath and Henk A. van der Vorst Parallel numerical linear algebra . . . 111--197 J. L. M. van Dorsselaer and J. F. B. M. Kraaijevanger and M. N. Spijker Linear stability analysis in the numerical solution of initial value problems . . . . . . . . . . . . . . . . 199--237 Michel Fortin Finite element solution of the Navier--Stokes equations . . . . . . . . 239--284 Harry Yserentant Old and new convergence proofs for multigrid methods . . . . . . . . . . . 285--326 Anonymous ANU volume 2 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f6 Anonymous ANU volume 2 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b2
Luis Alvarez and Jean Michel Morel Formalization and computational aspects of image analysis . . . . . . . . . . . 1--59 Tony F. Chan and Tarek P. Mathew Domain decomposition algorithms . . . . 61--143 S. W. Ellacott Aspects of the Numerical Analysis of Neural Networks . . . . . . . . . . . . 145--202 Bengt Fornberg and David M. Sloan A review of pseudospectral methods for solving partial differential equations 203--267 R. Glowinski and J. L. Lions Exact and approximate controllability for distributed parameter systems . . . 269--378 Leslie Greengard and Monique Moura On the numerical evaluation of electrostatic fields in composite materials . . . . . . . . . . . . . . . 379--410 Malcolm Sabin Numerical geometry of surfaces . . . . . 411--466 Andrew M. Stuart Numerical analysis of dynamical systems 467--572 Anonymous ANU volume 3 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f6 Anonymous ANU volume 3 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b1
Paul T. Boggs and Jon W. Tolle Sequential Quadratic Programming . . . . 1--51 C. Brezinski and Ufr Ieea and J. Van Iseghem A Taste of Padé Approximation . . . . . . 53--103 Kenneth Eriksson and Don Estep and Peter Hansbo and Claes Johnson Introduction to Adaptive Methods for Differential Equations . . . . . . . . . 105--158 R. Glowinski and J. L. Lions Exact and approximate controllability for distributed parameter systems . . . 159--328 Anonymous Errata for Section 1.10.7 . . . . . . . 329--333 Thomas Y. Hou Numerical Solutions to Free Boundary Problems . . . . . . . . . . . . . . . . 335--415 Helmut Neunzert and Jens Struckmeier Particle Methods for the Boltzmann Equation . . . . . . . . . . . . . . . . 417--457 Beresford N. Parlett The new $qd$ algorithms . . . . . . . . 459--491 Anonymous ANU volume 4 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f6 Anonymous ANU volume 4 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b1
Randolph E. Bank Hierarchical bases and the finite element method . . . . . . . . . . . . . 1--43 Walter Gautschi Orthogonal polynomials: applications and computation . . . . . . . . . . . . . . 45--119 William D. Henshaw Automatic grid generation . . . . . . . 121--148 Adrian S. Lewis and Michael L. Overton Eigenvalue Optimization . . . . . . . . 149--190 Mitchell Luskin On the computation of crystalline microstructure . . . . . . . . . . . . . 191--257 Ulla Miekkala and Olavi Nevanlinna Iterative solution of systems of linear differential equations . . . . . . . . . 259--307 James A. Sethian Theory, algorithms, and applications of level set methods for propagating interfaces . . . . . . . . . . . . . . . 309--395 Anonymous ANU volume 5 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f6 Anonymous ANU volume 5 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b1
Ronald Cools Constructing cubature formulae: the science behind the art . . . . . . . . . 1--54 Wolfgang Dahmen Wavelet and multiscale methods for operator equations . . . . . . . . . . . 55--228 Leslie Greengard and Vladimir Rokhlin A new version of the Fast Multipole Method for the Laplace equation in three dimensions . . . . . . . . . . . . . . . 229--269 Martin H. Gutknecht Lanczos-type solvers for nonsymmetric linear systems of equations . . . . . . 271--397 T. Y. Li Numerical solution of multivariate polynomial systems by homotopy continuation methods . . . . . . . . . . 399--436 Linda R. Petzold and Laurent O. Jay and Jeng Yen Numerical solution of highly oscillatory ordinary differential equations . . . . 437--483 Christian Ringhofer Computational methods for semiclassical and quantum transport in semiconductor devices . . . . . . . . . . . . . . . . 485--521 Steve Smale Complexity theory and numerical analysis 523--551 Anonymous ANU volume 6 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f6 Anonymous ANU volume 6 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b1
Russel E. Caflisch Monte Carlo and quasi-Monte Carlo methods . . . . . . . . . . . . . . . . 1--49 Ronald A. DeVore Nonlinear approximation . . . . . . . . 51--150 Ilse C. F. Ipsen Relative perturbation results for matrix eigenvalues and singular values . . . . 151--201 Heinz-Otto Kreiss and Jens Lorenz Stability for time-dependent differential equations . . . . . . . . . 203--285 M. J. D. Powell Direct Search Algorithms for Optimization Calculations . . . . . . . 287--336 G. A. Watson Choice of norms for data fitting and function approximation . . . . . . . . . 337--377 Anonymous ANU volume 7 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f6 Anonymous ANU volume 7 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b1
Gregory B. Cook and Saul A. Teukolsky Numerical relativity: challenges for computational science . . . . . . . . . 1--45 Thomas Hagstrom Radiation boundary conditions for the numerical simulation of waves . . . . . 47--106 Frank Natterer Numerical methods in tomography . . . . 107--141 Allan Pinkus Approximation theory of the MLP model in neural networks . . . . . . . . . . . . 143--195 Eckhard Platen An introduction to numerical methods for stochastic differential equations . . . 197--246 Lloyd N. Trefethen Computation of pseudospectra . . . . . . 247--295 Anonymous ANU volume 8 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f6 Anonymous ANU volume 8 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b1
M. D. Buhmann Radial basis functions . . . . . . . . . 1--38 K. A. Cliffe and A. Spence and S. J. Tavener The numerical analysis of bifurcation problems with application to fluid mechanics . . . . . . . . . . . . . . . 39--131 Herbert Edelsbrunner Triangulations and meshes in computational geometry . . . . . . . . . 133--213 Arieh Iserles and Hans Z. Munthe-Kaas and Syvert P. Nòrsett and Antonella Zanna Lie-group methods . . . . . . . . . . . 215--365
Roland Becker and Rolf Rannacher An optimal control approach to a posteriori error estimation in finite element methods . . . . . . . . . . . . 1--102 Philippe G. Ciarlet Mathematical modelling of linearly elastic shells . . . . . . . . . . . . . 103--214 Dominique Chapelle Some new results and current challenges in the finite element analysis of shells 215--250 Michael Eiermann and Oliver G. Ernst Geometric aspects of the theory of Krylov subspace methods . . . . . . . . 251--312 Markus Hegland Data mining techniques . . . . . . . . . 313--355 J. E. Marsden and M. West Discrete mechanics and variational integrators . . . . . . . . . . . . . . 357--514 M. J. Todd Semidefinite Optimization . . . . . . . 515--560
Moody T. Chu and Gene H. Golub Structured inverse eigenvalue problems 1--71 Nira Dyn and David Levin Subdivision schemes in geometric modelling . . . . . . . . . . . . . . . 73--144 Michael B. Giles and Endre Süli Adjoint Methods for PDEs: \em a posteriori Error Analysis and Postprocessing by Duality . . . . . . . 145--236 R. Hiptmair Finite elements in computational electromagnetism . . . . . . . . . . . . 237--339 Robert I. McLachlan and G. Reinout W. Quispel Splitting methods . . . . . . . . . . . 341--434 Konstantin Mischaikow Topological techniques for efficient rigorous computation in dynamics . . . . 435--477 Charles S. Peskin The immersed boundary method . . . . . . 479--517 Danny C. Sorensen Numerical methods for large eigenvalue problems . . . . . . . . . . . . . . . . 519--584
Ivo Babu\vska and Uday Banerjee and John E. Osborn Survey of meshless and generalized finite element methods: a unified approach . . . . . . . . . . . . . . . . 1--125 Bernardo Cockburn Continuous dependence and error estimation for viscosity methods . . . . 127--180 Björn Engquist and Olof Runborg Computational high frequency wave propagation . . . . . . . . . . . . . . 181--266 Roland W. Freund Model reduction methods based on Krylov subspaces . . . . . . . . . . . . . . . 267--319 Andreas Griewank A mathematical view of automatic differentiation . . . . . . . . . . . . 321--398 Ernst Hairer and Christian Lubich and Gerhard Wanner Geometric numerical integration illustrated by the Störmer--Verlet method 399--450 Eitan Tadmor Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems 451--512
Åke Björck The calculation of linear least squares problems . . . . . . . . . . . . . . . . 1--53 Hermann Brunner The numerical analysis of functional integral and integro-differential equations of Volterra type . . . . . . . 55--145 Hans-Joachim Bungartz and Michael Griebel Sparse grids . . . . . . . . . . . . . . 147--269 Arnold Neumaier Complete search in continuous global optimization and constraint satisfaction 271--369 N. P. Smith and D. P. Nickerson and E. J. Crampin and P. J. Hunter Multiscale computational modelling of the heart . . . . . . . . . . . . . . . 371--431
Michele Benzi and Gene H. Golub and Jörg Liesen Numerical solution of saddle point problems . . . . . . . . . . . . . . . . 1--137 Klaus Deckelnick and Gerhard Dziuk and Charles M. Elliott Computation of geometric partial differential equations and mean curvature flow . . . . . . . . . . . . . 139--232 Alan Edelman and N. Raj Rao Random matrix theory . . . . . . . . . . 233--297 Nick Gould and Dominique Orban and Philippe Toint Numerical methods for large-scale nonlinear optimization . . . . . . . . . 299--361 Claude Le Bris Computational chemistry from the perspective of numerical analysis . . . 363--444 Martin Stynes Steady-state convection-diffusion problems . . . . . . . . . . . . . . . . 445--508 Yen-Hsi Richard Tsai and Stanley Osher Total variation and level set methods in image science . . . . . . . . . . . . . 509--573
Douglas N. Arnold and Richard S. Falk and Ragnar Winther Finite element exterior calculus, homological techniques, and applications 1--155 J. C. Butcher General linear methods . . . . . . . . . 157--256 Emmanuel J. Cand\`es Modern statistical estimation via oracle inequalities . . . . . . . . . . . . . . 257--325 Lars Eldén Numerical linear algebra in data mining 327--384 Robert L. Higdon Numerical modelling of ocean circulation 385--470 Gérard Meurant and Zden\vek Strako\vs The Lanczos and conjugate gradient algorithms in finite precision arithmetic . . . . . . . . . . . . . . . 471--542 Robert Schaback and Holger Wendland Kernel techniques: from machine learning to meshless methods . . . . . . . . . . 543--639
Stephen D. Bond and Benedict J. Leimkuhler Molecular dynamics and the accuracy of numerically computed averages . . . . . 1--65 Mike Cullen Modelling atmospheric flows . . . . . . 67--154 K. W. Morton and T. Sonar Finite volume methods for hyperbolic conservation laws . . . . . . . . . . . 155--238 Vadim Shapiro Semi-analytic geometry with $R$-functions . . . . . . . . . . . . . 239--303 Eitan Tadmor Filters, mollifiers and the computation of the Gibbs phenomenon . . . . . . . . 305--378 Nico M. Temme Numerical aspects of special functions 379--478
Moody T. Chu Linear algebra algorithms as dynamical systems . . . . . . . . . . . . . . . . 1--86 James Demmel and Ioana Dumitriu and Olga Holtz and Plamen Koev Accurate and efficient expression evaluation and linear algebra . . . . . 87--145 B. Engquist and P. E. Souganidis Asymptotic and numerical homogenization 147--190 Arkadi S. Nemirovski and Michael J. Todd Interior-point methods for optimization 191--234 V. N. Temlyakov Greedy approximation . . . . . . . . . . 235--409
Alfredo Bellen and Stefano Maset and Marino Zennaro and Nicola Guglielmi Recent trends in the numerical solution of retarded functional differential equations . . . . . . . . . . . . . . . 1--110 Chris J. Budd and Weizhang Huang and Robert D. Russell Adaptivity with moving grids . . . . . . 111--241 Leslie Greengard and Denis Gueyffier and Per-Gunnar Martinsson and Vladimir Rokhlin Fast direct solvers for integral equations in complex three-dimensional domains . . . . . . . . . . . . . . . . 243--275 Thomas Y. Hou Blow-up or no blow-up? A unified computational and analytic approach to $3$D incompressible Euler and Navier--Stokes equations . . . . . . . . 277--346 Anonymous ANU volume 18 issue 1 Cover and Front matter . . . . . . . . . . . . . . . . . f1--f6 Anonymous ANU volume 18 issue 1 Cover and Back matter . . . . . . . . . . . . . . . . . b1--b1
Daniele Boffi Finite element approximation of eigenvalue problems . . . . . . . . . . 1--120 Roger Fletcher and Gaetano Zanghirati Binary separation and training support vector machines . . . . . . . . . . . . 121--158 Nicholas J. Higham and Awad H. Al-Mohy Computing matrix functions . . . . . . . 159--208 Marlis Hochbruck and Alexander Ostermann Exponential integrators . . . . . . . . 209--286 Siegfried M. Rump Verification methods: Rigorous results using floating-point arithmetic . . . . 287--449 A. M. Stuart Inverse problems: a Bayesian perspective 451--559 G. Wanner Kepler, Newton and numerical analysis 561--598 Anonymous ANU volume 19 Cover and Front matter . . f1--f6 Anonymous ANU volume 19 Cover and Back matter . . b1--b1
Snorre H. Christiansen and Hans Z. Munthe-Kaas and Brynjulf Owren Topics in structure-preserving discretization . . . . . . . . . . . . . 1--119 Shi Jin and Peter Markowich and Christof Sparber Mathematical and computational methods for semiclassical Schrödinger equations 121--209 Randall J. LeVeque and David L. George and Marsha J. Berger Tsunami modelling with adaptively refined finite volume methods . . . . . 211--289 Christoph Schwab and Claude Jeffrey Gittelson Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs . . . . . . . . . . . . 291--467 Charles W. Wampler and Andrew J. Sommese Numerical algebraic geometry and algebraic kinematics . . . . . . . . . . 469--567 Barbara Wohlmuth Variationally consistent discretization schemes and numerical algorithms for contact problems . . . . . . . . . . . . 569--734 Anonymous ANU volume 20 Cover and Front matter . . f1--f6 Anonymous ANU volume 20 Cover and Back matter . . b1--b1
Assyr Abdulle and E. Weinan and Björn Engquist and Eric Vanden-Eijnden The heterogeneous multiscale method . . 1--87 Simon N. Chandler-Wilde and Ivan G. Graham and Stephen Langdon and Euan A. Spence Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering . . . . . . . . . . . . . . . 89--305 Peter Deuflhard and Anton Schiela and Martin Weiser Mathematical cancer therapy planning in deep regional hyperthermia . . . . . . . 307--378 J. J. Dongarra and A. J. van der Steen High-performance computing systems: Status and outlook . . . . . . . . . . . 379--474 M. Lebrun and M. Colom and A. Buades and J. M. Morel Secrets of image denoising cuisine . . . 475--576 Olivier Pironneau Pricing futures by deterministic methods 577--671 Anonymous ANU volume 21 Cover and Front matter . . f1--f6 Anonymous ANU volume 21 Cover and Back matter . . b1--b1
Pietro Belotti and Christian Kirches and Sven Leyffer and Jeff Linderoth and James Luedtke and Ashutosh Mahajan Mixed-integer nonlinear optimization . . 1--131 Josef Dick and Frances Y. Kuo and Ian H. Sloan High-dimensional integration: The quasi-Monte Carlo way . . . . . . . . . 133--288 Gerhard Dziuk and Charles M. Elliott Finite element methods for surface PDEs 289--396 Mitchell Luskin and Christoph Ortner Atomistic-to-continuum coupling . . . . 397--508 Yurii Nesterov and Arkadi Nemirovski On first-order algorithms for $ l_1 $ /nuclear norm minimization . . . . . . . 509--575 Anonymous ANU volume 22 Cover and Front matter . . f1--f6 Anonymous ANU volume 22 Cover and Back matter . . b1--b1
G. Ballard and E. Carson and J. Demmel and M. Hoemmen and N. Knight and O. Schwartz Communication lower bounds and optimal algorithms for numerical linear algebra 1--155 L. Beirão da Veiga and A. Buffa and G. Sangalli and R. Vázquez Mathematical analysis of variational isogeometric methods . . . . . . . . . . 157--287 Gunnar Carlsson Topological pattern recognition for point cloud data . . . . . . . . . . . . 289--368 G. Dimarco and L. Pareschi Numerical methods for kinetic equations 369--520 Max D. Gunzburger and Clayton G. Webster and Guannan Zhang Stochastic finite element methods for partial differential equations with random input data . . . . . . . . . . . 521--650 Wolfgang Hackbusch Numerical tensor calculus . . . . . . . 651--742 Philippe G. LeFloch and Siddhartha Mishra Numerical methods with controlled dissipation for small-scale dependent shocks . . . . . . . . . . . . . . . . . 743--816 Anonymous ANU volume 23 Cover and Front matter . . f1--f6 Anonymous ANU volume 23 Cover and Back matter . . b1--b1
Albert Cohen and Ronald DeVore Approximation of high-dimensional parametric PDEs . . . . . . . . . . . . 1--159 Michael S. Floater Generalized barycentric coordinates and applications . . . . . . . . . . . . . . 161--214 Bengt Fornberg and Natasha Flyer Solving PDEs with radial basis functions 215--258 Michael B. Giles Multilevel Monte Carlo methods . . . . . 259--328 A. J. Wathen Preconditioning . . . . . . . . . . . . 329--376 Anonymous ANU volume 24 Cover and Front matter . . f1--f8 Anonymous ANU volume 24 Cover and Back matter . . b1--b2
A. Abdelfattah and H. Anzt and J. Dongarra and M. Gates and A. Haidar and J. Kurzak and P. Luszczek and S. Tomov and I. Yamazaki and A. YarKhan Linear algebra software for large-scale accelerated multicore computing . . . . 1--160 Antonin Chambolle and Thomas Pock An introduction to continuous optimization for imaging . . . . . . . . 161--319 Felipe Cucker Probabilistic analyses of condition numbers . . . . . . . . . . . . . . . . 321--382 Timothy A. Davis and Sivasankaran Rajamanickam and Wissam M. Sid-Lakhdar A survey of direct methods for sparse linear systems . . . . . . . . . . . . . 383--566 Ulrik S. Fjordholm and Siddhartha Mishra and Eitan Tadmor On the computation of measure-valued solutions . . . . . . . . . . . . . . . 567--679 Tony Leli\`evre and Gabriel Stoltz Partial differential equations and stochastic methods in molecular dynamics 681--880 Anonymous ANU volume 25 Cover and Front matter . . f1--f8 Anonymous ANU volume 25 Cover and Back matter . . b1--b2
Stefan Güttel and Françoise Tisseur The nonlinear eigenvalue problem . . . . 1--94 Ravindran Kannan and Santosh Vempala Randomized algorithms in numerical linear algebra . . . . . . . . . . . . . 95--135 Michael Neilan and Abner J. Salgado and Wujun Zhang Numerical analysis of strongly nonlinear PDEs . . . . . . . . . . . . . . . . . . 137--303 Onur Özyesil and Vladislav Voroninski and Ronen Basri and Amit Singer A survey of structure from motion . . . 305--364 A. Quarteroni and A. Manzoni and C. Vergara The cardiovascular system: Mathematical modelling, numerical algorithms and clinical applications . . . . . . . . . 365--590 Jinchao Xu and Ludmil Zikatanov Algebraic multigrid methods . . . . . . 591--721 Anonymous ANU volume 26 Cover and Front matter . . f1--f8 Anonymous ANU volume 26 Cover and Back matter . . b1--b2
Martin Benning and Martin Burger Modern regularization methods for inverse problems . . . . . . . . . . . . 1--111 Nawaf Bou-Rabee and J. M. Sanz-Serna Geometric integrators and the Hamiltonian Monte Carlo method . . . . . 113--206 C. T. Kelley Numerical methods for nonlinear equations . . . . . . . . . . . . . . . 207--287 Alexander Kurganov Finite-volume schemes for shallow-water equations . . . . . . . . . . . . . . . 289--351 J. Tinsley Oden Adaptive multiscale predictive modelling 353--450 Anonymous ANU volume 27 Cover and Front matter . . f1--f7 Anonymous ANU volume 27 Cover and Back matter . . b1--b2
Simon Arridge and Peter Maass and Ozan Öktem and Carola-Bibiane Schönlieb Solving inverse problems using data-driven models . . . . . . . . . . . 1--174 Weimin Han and Mircea Sofonea Numerical analysis of hemivariational inequalities in contact mechanics . . . 175--286 Jeffrey Larson and Matt Menickelly and Stefan M. Wild Derivative-free optimization methods . . 287--404 Lin Lin and Jianfeng Lu and Lexing Ying Numerical methods for Kohn--Sham density functional theory . . . . . . . . . . . 405--539 Alex Pothen and S. M. Ferdous and Fredrik Manne Approximation algorithms in combinatorial scientific computing . . . 541--633 Sebastian Reich Data assimilation: The Schrödinger perspective . . . . . . . . . . . . . . 635--711 Anonymous ANU volume 28 Cover and Front matter . . f1--f7 Anonymous ANU volume 28 Cover and Back matter . . b1--b2
Marta D'Elia and Qiang Du and Christian Glusa and Max Gunzburger and Xiaochuan Tian and Zhi Zhou Numerical methods for nonlocal and fractional models . . . . . . . . . . . 1--124 Albert Fannjiang and Thomas Strohmer The numerics of phase retrieval . . . . 125--228 Caroline Lasser and Christian Lubich Computing quantum dynamics in the semiclassical regime . . . . . . . . . . 229--401 Per-Gunnar Martinsson and Joel A. Tropp Randomized numerical linear algebra: Foundations and algorithms . . . . . . . 403--572 Sheehan Olver and Richard Mikaël Slevinsky and Alex Townsend Fast algorithms using orthogonal polynomials . . . . . . . . . . . . . . 573--699 Chi-Wang Shu Essentially non-oscillatory and weighted essentially non-oscillatory schemes . . 701--762 Anonymous ANU volume 29 Cover and Front matter . . f1--f6 Anonymous ANU volume 29 Cover and Back matter . . b1--b2
Robert Altmann and Patrick Henning and Daniel Peterseim Numerical homogenization beyond scale separation . . . . . . . . . . . . . . . 1--86 Peter L. Bartlett and Andrea Montanari and Alexander Rakhlin Deep learning: a statistical viewpoint 87--201 Mikhail Belkin Fit without fear: remarkable mathematical phenomena of deep learning through the prism of interpolation . . . 203--248 Jean-David Benamou Optimal transportation, modelling and numerical simulation . . . . . . . . . . 249--325 Ronald DeVore and Boris Hanin and Guergana Petrova Neural network approximation . . . . . . 327--444 Omar Ghattas and Karen Willcox Learning physics-based models from data: perspectives from inverse problems and model reduction . . . . . . . . . . . . 445--554 Lek-Heng Lim Tensors in computations . . . . . . . . 555--764 Wei Wang and Lei Zhang and Pingwen Zhang Modelling and computation of liquid crystals . . . . . . . . . . . . . . . . 765--851 Anonymous ANU volume 30 Cover and Front matter . . f1--f6 Anonymous ANU volume 30 Cover and Back matter . . b1
Martin J. Gander and Hui Zhang Schwarz methods by domain truncation . . 1--134 Borjan Geshkovski and Enrique Zuazua Turnpike in optimal control of PDEs, ResNets, and beyond . . . . . . . . . . 135--263 Jan S. Hesthaven and Cecilia Pagliantini and Gianluigi Rozza Reduced basis methods for time-dependent problems . . . . . . . . . . . . . . . . 265--345 Nicholas J. Higham and Theo Mary Mixed precision algorithms in numerical linear algebra . . . . . . . . . . . . . 347--414 Shi Jin Asymptotic-preserving schemes for multiscale physical problems . . . . . . 415--489 Anonymous ANU volume 31 Cover and Front matter . . f1--f6 Anonymous ANU volume 31 Cover and Back matter . . b1
Markus Bachmayr Low-rank tensor methods for partial differential equations . . . . . . . . . 1--121 Lourenço Beirão Da Veiga and Franco Brezzi and L. Donatella Marini and Alessandro Russo The virtual element method . . . . . . . 123--202 Sylvie Boldo and Claude-Pierre Jeannerod and Guillaume Melquiond and Jean-Michel Muller Floating-point arithmetic . . . . . . . 203--290 Colin J. Cotter Compatible finite element methods for geophysical fluid dynamics . . . . . . . 291--393 Volker Mehrmann and Benjamin Unger Control of port-Hamiltonian differential-algebraic systems and applications . . . . . . . . . . . . . . 395--515 Christof Schütte and Stefan Klus and Carsten Hartmann Overcoming the timescale barrier in molecular dynamics: Transfer operators, variational principles and machine learning . . . . . . . . . . . . . . . . 517--673 Levent Tunçel and Lieven Vandenberghe Linear optimization over homogeneous matrix cones . . . . . . . . . . . . . . 675--747 Anonymous ANU volume 32 Cover and Front matter . . f1--f6 Anonymous ANU volume 32 Cover and Back matter . . b1
Sergio Blanes and Fernando Casas and Ander Murua Splitting methods for differential equations . . . . . . . . . . . . . . . 1--161 Andrea Bonito and Claudio Canuto and Ricardo H. Nochetto and Andreas Veeser Adaptive finite element methods . . . . 163--485 Patrick L. Combettes The geometry of monotone operator splitting methods . . . . . . . . . . . 487--632 Tim De Ryck and Siddhartha Mishra Numerical analysis of physics-informed neural networks and related models in physics-informed machine learning . . . 633--713 Xun Huan and Jayanth Jagalur and Youssef Marzouk Optimal experimental design: Formulations and computations . . . . . 715--840 Jean B. Lasserre The Moment-SOS hierarchy: Applications and related topics . . . . . . . . . . . 841--908 Anonymous ANU volume 33 Cover and Front matter . . f1--f6 Anonymous ANU volume 33 Cover and Back matter . . b1
Nicholas J. Higham Review of ``Acta Numerica 1994 and Acta Numerica 1995, Cambridge University Press'' . . . . . . . . . . . . . . . . 28