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Acta Numerica 2021

Volume 30

Part of Acta Numerica

Editors:
Arieh Iserles, University of Cambridge
Douglas Arnold, University of Minnesota

Robert Altmann, Patrick Henning, Daniel Peterseim, Peter L. Bartlett, Andrea Montanari, Alexander Rakhlin, Mikhail Belkin, Jean-David Benamou, Ronald DeVore, Boris Hanin, Guergana Petrova, Omar Ghattas, Karen Willcox. Lek-Heng Lim, Wei Wang, Lei Zhang, Pingwen Zhang

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Date Published: October 2021
availability: In stock
format: Hardback
isbn: 9781009098977

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About the Authors

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.
- The latest issue of the leading review in mathematics as measured by Impact factor
- Outstanding contributors provide state-of-art surveys in important topics of contemporary interest
- Covers a broad range of fields from data-driven science, to engineering, to computational physics
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Product details
- Date Published: October 2021
- format: Hardback
- isbn: 9781009098977
- length: 864 pages
- dimensions: 254 x 181 x 37 mm
- weight: 1.67kg
- availability: In stock
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.
Editors
Arieh Iserles, University of Cambridge
Arieh Iserles is Emeritus Professor of Numerical Analysis of Differential Equations at the University of Cambridge.
Douglas Arnold, University of Minnesota
Douglas Arnold is McKnight Presidential Professor of Mathematics at the University of Minnesota.
Contributors
Robert Altmann, Patrick Henning, Daniel Peterseim, Peter L. Bartlett, Andrea Montanari, Alexander Rakhlin, Mikhail Belkin, Jean-David Benamou, Ronald DeVore, Boris Hanin, Guergana Petrova, Omar Ghattas, Karen Willcox. Lek-Heng Lim, Wei Wang, Lei Zhang, Pingwen Zhang