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Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan

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  • © 2018

Overview

Editors:
  1. Josef Dick

    1. School of Mathematics and Statistics, University of New South Wales, Sydney, Australia

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  2. Frances Y. Kuo

    1. School of Mathematics and Statistics, University of New South Wales, Sydney, Australia

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  3. Henryk Woźniakowski

    1. Department of Computer Science, Columbia University, New York, USA

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  • Get insight into the exciting life and career of the distinguished mathematician Prof. Ian H. Sloan

  • Many papers in this book are written by international leaders who present the current state of the art in computational mathematics

  • Learn about the private life of Prof. Ian Sloan, as portrayed by his wife, children and grandchildren

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Table of contents (59 chapters)

  1. Front Matter

    Pages i-xlix
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  2. On Quasi-Energy-Spectra, Pair Correlations of Sequences and Additive Combinatorics

    • Ida Aichinger, Christoph Aistleitner, Gerhard Larcher
    Pages 1-16

  3. Towards an Efficient Finite Element Method for the Integral Fractional Laplacian on Polygonal Domains

    • Mark Ainsworth, Christian Glusa
    Pages 17-57

  4. Irregularities of Distributions and Extremal Sets in Combinatorial Complexity Theory

    • Christoph Aistleitner, Aicke Hinrichs
    Pages 59-74

  5. Importance Sampling and Stratification for Copula Models

    • Philipp Arbenz, Mathieu Cambou, Marius Hofert, Christiane Lemieux, Yoshihiro Taniguchi
    Pages 75-96

  6. A Spectral Method for the Biharmonic Equation

    • Kendall Atkinson, David Chien, Olaf Hansen
    Pages 97-118

  7. Quasi-Monte Carlo for an Integrand with a Singularity Along a Diagonal in the Square

    • Kinjal Basu, Art B. Owen
    Pages 119-130

  8. There Is No Strongly Regular Graph with Parameters (460, 153, 32, 60)

    • Andriy Bondarenko, Anton Mellit, Andriy Prymak, Danylo Radchenko, Maryna Viazovska
    Pages 131-134

  9. Low-Discrepancy Sequences for Piecewise Smooth Functions on the Torus

    • Luca Brandolini, Leonardo Colzani, Giacomo Gigante, Giancarlo Travaglini
    Pages 135-152

  10. Explicit Families of Functions on the Sphere with Exactly Known Sobolev Space Smoothness

    • Johann S. Brauchart
    Pages 153-177

  11. Logarithmic and Riesz Equilibrium for Multiple Sources on the Sphere: The Exceptional Case

    • Johann S. Brauchart, Peter D. Dragnev, Edward B. Saff, Robert S. Womersley
    Pages 179-203

  12. Numerical Analysis and Computational Solution of Integro-Differential Equations

    • Hermann Brunner
    Pages 205-231

  13. Multivariate Approximation in Downward Closed Polynomial Spaces

    • Albert Cohen, Giovanni Migliorati
    Pages 233-282

  14. Subperiodic Trigonometric Hyperinterpolation

    • Gaspare Da Fies, Alvise Sommariva, Marco Vianello
    Pages 283-304

  15. Discrete Data Fourier Deconvolution

    • Frank de Hoog, Russell Davies, Richard Loy, Robert Anderssen
    Pages 305-316

  16. Kernels of a Class of Toeplitz Plus Hankel Operators with Piecewise Continuous Generating Functions

    • Victor D. Didenko, Bernd Silbermann
    Pages 317-337

  17. Probabilistic Lower Bounds for the Discrepancy of Latin Hypercube Samples

    • Benjamin Doerr, Carola Doerr, Michael Gnewuch
    Pages 339-350

  18. Hyperinterpolation for Spectral Wave Propagation Models in Three Dimensions

    • Mahadevan Ganesh, Stuart C. Hawkins
    Pages 351-372

  19. Multilevel QMC with Product Weights for Affine-Parametric, Elliptic PDEs

    • Robert N. Gantner, Lukas Herrmann, Christoph Schwab
    Pages 373-405

  20. An Adaptive Filon Algorithm for Highly Oscillatory Integrals

    • Jing Gao, Arieh Iserles
    Pages 407-424
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Keywords

About this book

This book is a tribute to Professor Ian Hugh Sloan on the occasion of his 80th birthday. It consists of nearly 60 articles written by international leaders in a diverse range of areas in contemporary computational mathematics. These papers highlight the impact and many achievements of Professor Sloan in his distinguished academic career. The book also presents state of the art knowledge in many computational fields such as quasi-Monte Carlo and Monte Carlo methods for multivariate integration, multi-level methods, finite element methods, uncertainty quantification, spherical designs and integration on the sphere, approximation and interpolation of multivariate functions, oscillatory integrals, and in general in information-based complexity and tractability,  as well as in a range of other topics.

The book also tells the life story of the renowned mathematician, family man, colleague and friend, who has been an inspiration to many of us. The reader may especially enjoy the story from the perspective of his family, his wife, his daughter and son, as well as grandchildren, who share their views of Ian. The clear message of the book is that Ian H. Sloan has been a role model in science and life.


Editors and Affiliations

  • School of Mathematics and Statistics, University of New South Wales, Sydney, Australia

    Josef Dick, Frances Y. Kuo

  • Department of Computer Science, Columbia University, New York, USA

    Henryk Woźniakowski

About the editors

Josef Dick is Associate Professor in the School of Mathematics and Statistics at the University of New South Wales Sydney, Australia. He is a former PhD student of Professor Ian Sloan and currently Head of the Applied Mathematics Department in the School.

Frances Kuo is Associate Professor in the School of Mathematics and Statistics at the University of New South Wales Sydney, Australia. She is an academic grandchild of Professor Ian Sloan and a collaborator for over 15 years.

Henryk Wozniakowski is Emeritus Professor of Columbia University in New York and of University of Warsaw in Poland. He has been collaborating with Professor Ian Sloan for the last 20 years.

Bibliographic Information

  • Book Title: Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan

  • Editors: Josef Dick, Frances Y. Kuo, Henryk Woźniakowski

  • DOI: https://doi.org/10.1007/978-3-319-72456-0

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing AG, part of Springer Nature 2018

  • Hardcover ISBN: 978-3-319-72455-3Published: 04 June 2018

  • Softcover ISBN: 978-3-030-10203-6Published: 23 February 2019

  • eBook ISBN: 978-3-319-72456-0Published: 23 May 2018

  • Edition Number: 1

  • Number of Pages: XLIX, 1309

  • Number of Illustrations: 42 b/w illustrations, 92 illustrations in colour

  • Topics: Computational Mathematics and Numerical Analysis, Mathematics of Algorithmic Complexity

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