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

Josef Dick, Frances Y. Kuo, Henryk Woźniakowski (Herausgeber)

eBook Download: PDF

2018 | 1st ed. 2018
XLIX, 1309 Seiten
Springer International Publishing (Verlag)
978-3-319-72456-0 (ISBN)

Infos

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.




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.

Inhalt

Preface.- Family Perspectives.- A Fortunate Scientific Life.- Publications of Professor Sloan.- Contents.- Index.

Produkt-Details

• Erscheint lt. Verlag: 23.5.2018
• Zusatzinfo: XLIX, 1309 p. 134 illus., 92 illus. in color.
• Verlagsort: Cham
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Statistik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
• Schlagworte: Algorithmic Complexity • Applications in finance, groundwater flow, physics • boundary integral equations • Constructive approximation on spheres and manifolds • Electron-atom scattering • Few-nucleon scattering problems • Four-body problem, and the Bencze-Redish-Sloan equations • High dimensional integration and approximation • Hyperinterpolation, radial basis functions, needlets • Information based complexity • Numerical Analysis of Partial Differential Equations • Numerical analysis of PDEs with random coefficients • Numerical analysis of second-kind integral equations • Numerical integration and product integration • Qualocation • Superconvergence of the iterated Galerkin approximation • Tractability of multivariate and infinite-dimensional problems • Weighted spaces of multivariate functions
• ISBN-10: 3-319-72456-8 / 3319724568
• ISBN-13: 978-3-319-72456-0 / 9783319724560