Overview

Acta Numerica is an annual publication containing invited survey papers by leading researchers in numerical mathematics and scientific computing. The papers present overviews of recent developments in their area and provide state-of-the-art techniques and analysis.

Full Product Details

Author:   Arieh Iserles (University of Cambridge) ,  Douglas Arnold (University of Minnesota)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Edition:   New edition
Dimensions:   Width: 18.10cm , Height: 3.70cm , Length: 25.40cm
Weight:   1.670kg
ISBN:  

9781009098977

ISBN 10:   1009098977
Pages:   864
Publication Date:   07 October 2021
Audience:   College/higher education ,  Tertiary & Higher Education
Format:   Hardback
Publisher's Status:   Active
Availability:   Available To Order  
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Table of Contents

1. Numerical homogenization beyond scale separation Robert Altmann, Patrick Henning and Daniel Peterseim; 2. Deep learning: a statistical viewpoint Peter L. Bartlett, Andrea Montanari and Alexander Rakhlin; 3. Fit without fear: remarkable mathematical phenomena of deep learning through the prism of interpolation Mikhail Belkin; 4. Optimal transportation, modelling and numerical simulation Jean-David Benamou; 5. Neural network approximation Ronald DeVore, Boris Hanin and Guergana Petrova; 6. Learning physics-based models from data: perspectives from inverse problems and model reduction Omar Ghattas and Karen Willcox; 7. Tensors in computations Lek-Heng Lim; 8. Modelling and computation of liquid crystals Wei Wang, Lei Zhang and Pingwen Zhang.

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Author Information

Arieh Iserles is Emeritus Professor of Numerical Analysis of Differential Equations at the University of Cambridge. Douglas Arnold is McKnight Presidential Professor of Mathematics at the University of Minnesota.

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