Authors:
- Accessible introduction for undergraduate students in mathematics or computer science
- Discusses practical applications
- Explanations of the basic concepts and current methods used in research
Part of the book series: Springer Series in Computational Mathematics (SSCM, volume 58)
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (16 chapters)
-
Front Matter
-
Back Matter
About this book
Authors and Affiliations
-
School of Mathematics and Statistics, The University of New South Wales, Sydney, Australia
Josef Dick
-
RICAM, Austrian Academy of Sciences, Linz, Austria
Peter Kritzer
-
Johannes Kepler University Linz, Linz, Austria
Friedrich Pillichshammer
About the authors
Peter Kritzer is a Senior Scientist at the Johann Radon Institute for Computational and Applied Mathematics (RICAM) of the Austrian Academy of Sciencesin Linz, Austria, where he leads a work group doing research on quasi-Monte Carlo methods, multivariate algorithms, and Information-Based Complexity. Peter Kritzer’s research focuses on mostly theoretical aspects of high-dimensional numerical integration, function approximation, and Information-Based Complexity. He has worked at Austrian and Australian universities and research institutions and has been awarded several prizes, such as the Information-Based Complexity Young Researcher Award, the Prize for Achievements in Information-Based Complexity, and the Christian Doppler Award. Apart from his research work at the Austrian Academy of Sciences, he teaches at Johannes Kepler University Linz and serves as an editorial board member of the Journal of Complexity.
Friedrich Pillichshammer is an Associate Professor in the Institute for Financial Mathematics and Applied Number Theory at the Johannes Kepler University Linz, Austria. He is an author with Josef Dick of the book“Digital Nets and Sequences - Discrepancy Theory and Quasi-Monte Carlo Methods” and with Gunther Leobacher of the book “Introduction to Quasi-Monte Carlo Integration and Applications”. Friedrich Pillichshammer’s work is devoted to the theory and foundations of quasi-Monte Carlo methods. This comprises his research work but also teaching experience. For his work he received several honors. Examples are the Information-Based-Complexity award, a best paper award from the Journal of Complexity and awards from the Austrian Mathematical Society and from the Austrian Academy of Sciences. He is member of scientific committees and editorial boards like the steering committee of the MCQMC conference series, the editorial board of the Journal of Complexity and Managing Editor of the journal Uniform Distribution theory.
Bibliographic Information
Book Title: Lattice Rules
Book Subtitle: Numerical Integration, Approximation, and Discrepancy
Authors: Josef Dick, Peter Kritzer, Friedrich Pillichshammer
Series Title: Springer Series in Computational Mathematics
DOI: https://doi.org/10.1007/978-3-031-09951-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022
Hardcover ISBN: 978-3-031-09950-2Published: 24 July 2022
Softcover ISBN: 978-3-031-09953-3Published: 24 July 2023
eBook ISBN: 978-3-031-09951-9Published: 23 July 2022
Series ISSN: 0179-3632
Series E-ISSN: 2198-3712
Edition Number: 1
Number of Pages: XVI, 580
Number of Illustrations: 32 illustrations in colour