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

  • Josef Dick
  • Frances Y. Kuo
  • Henryk Woźniakowski

Table of contents

  1. Front Matter
    Pages i-xlix
  2. Ida Aichinger, Christoph Aistleitner, Gerhard Larcher
    Pages 1-16
  3. Philipp Arbenz, Mathieu Cambou, Marius Hofert, Christiane Lemieux, Yoshihiro Taniguchi
    Pages 75-96
  4. Kendall Atkinson, David Chien, Olaf Hansen
    Pages 97-118
  5. Andriy Bondarenko, Anton Mellit, Andriy Prymak, Danylo Radchenko, Maryna Viazovska
    Pages 131-134
  6. Luca Brandolini, Leonardo Colzani, Giacomo Gigante, Giancarlo Travaglini
    Pages 135-152
  7. Johann S. Brauchart, Peter D. Dragnev, Edward B. Saff, Robert S. Womersley
    Pages 179-203
  8. Albert Cohen, Giovanni Migliorati
    Pages 233-282
  9. Gaspare Da Fies, Alvise Sommariva, Marco Vianello
    Pages 283-304
  10. Frank de Hoog, Russell Davies, Richard Loy, Robert Anderssen
    Pages 305-316
  11. Benjamin Doerr, Carola Doerr, Michael Gnewuch
    Pages 339-350
  12. Mahadevan Ganesh, Stuart C. Hawkins
    Pages 351-372
  13. Robert N. Gantner, Lukas Herrmann, Christoph Schwab
    Pages 373-405
  14. Jing Gao, Arieh Iserles
    Pages 407-424
  15. Michael B. Giles
    Pages 425-442
  16. Ivan G. Graham, Matthew J. Parkinson, Robert Scheichl
    Pages 455-481
  17. Thomas Hangelbroek, Francis J. Narcowich, Christian Rieger, Joseph D. Ward
    Pages 517-543
  18. Fred J. Hickernell, Lluís Antoni Jiménez Rugama, Da Li
    Pages 597-619
  19. Peter Junghanns, Giuseppe Mastroianni, Incoronata Notarangelo
    Pages 645-673
  20. Peter Junghanns, Giovanni Monegato, Luciano Demasi
    Pages 675-701
  21. Barbara Lee Keyfitz, Hao Ying
    Pages 703-720
  22. Peter Kritzer, Harald Niederreiter, Friedrich Pillichshammer
    Pages 741-769
  23. Peter Kritzer, Friedrich Pillichshammer, Grzegorz W. Wasilkowski
    Pages 771-792
  24. Zheng Li, Yuesheng Xu, Qi Ye
    Pages 869-887
  25. William McLean
    Pages 911-930
  26. Hrushikesh N. Mhaskar
    Pages 931-962
  27. Sergei V. Pereverzev, Evgeniya V. Semenova, Pavlo Tkachenko
    Pages 1017-1034
  28. Michael Preischl, Stefan Thonhauser, Robert F. Tichy
    Pages 1051-1074
  29. Colin Rogers, Wolfgang K. Schief
    Pages 1081-1098

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.


Electron-atom scattering Few-nucleon scattering problems Four-body problem, and the Bencze-Redish-Sloan equations Numerical integration and product integration Numerical analysis of second-kind integral equations Superconvergence of the iterated Galerkin approximation Boundary integral equations Qualocation Numerical analysis of partial differential equations Constructive approximation on spheres and manifolds Hyperinterpolation, radial basis functions, needlets High dimensional integration and approximation Weighted spaces of multivariate functions Information based complexity Tractability of multivariate and infinite-dimensional problems Numerical analysis of PDEs with random coefficients Applications in finance, groundwater flow, physics

Editors and affiliations

  • Josef Dick
    • 1
  • Frances Y. Kuo
    • 2
  • Henryk Woźniakowski
    • 3
  1. 1.School of Mathematics and StatisticsUniversity of New South WalesSydneyAustralia
  2. 2.School of Mathematics and StatisticsUniversity of New South WalesSydneyAustralia
  3. 3.Department of Computer ScienceColumbia UniversityNew YorkUSA

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2018
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-72455-3
  • Online ISBN 978-3-319-72456-0
  • Buy this book on publisher's site